diff --git a/.github/workflows/static-check.yml b/.github/workflows/static-check.yml
index 8bde0789..e03084d4 100644
--- a/.github/workflows/static-check.yml
+++ b/.github/workflows/static-check.yml
@@ -31,7 +31,6 @@ jobs:
run: |
python -m pip install -U pip
pip install -e .[dev]
- bash ./benchmark/install_submodule.sh all
- name: black
id: tool-black
if: steps.python-env-setup.outcome == 'success'
diff --git a/.gitmodules b/.gitmodules
index 191ec35f..e69de29b 100644
--- a/.gitmodules
+++ b/.gitmodules
@@ -1,9 +0,0 @@
-[submodule "benchmark/pyjuice/pyjuice-april"]
- path = benchmark/pyjuice/pyjuice-april
- url = https://github.com/april-tools/pyjuice.git
-[submodule "benchmark/juice.jl/ProbabilisticCircuits.jl"]
- path = benchmark/juice.jl/ProbabilisticCircuits.jl
- url = https://github.com/Juice-jl/ProbabilisticCircuits.jl
-[submodule "3rd-party-stubs"]
- path = 3rd-party-stubs
- url = https://github.com/april-tools/python-type-stubs.git
diff --git a/3rd-party-stubs b/3rd-party-stubs
deleted file mode 160000
index 2c115ee0..00000000
--- a/3rd-party-stubs
+++ /dev/null
@@ -1 +0,0 @@
-Subproject commit 2c115ee078993fa354e3ee48278cd3c03ee4ba07
diff --git a/benchmark/__init__.py b/benchmark/__init__.py
deleted file mode 100644
index e69de29b..00000000
diff --git a/benchmark/cirkit/README.md b/benchmark/cirkit/README.md
deleted file mode 100644
index 1f2fc221..00000000
--- a/benchmark/cirkit/README.md
+++ /dev/null
@@ -1,5 +0,0 @@
-# `cirkit` Benchmark
-
-## Setup
-
-Just install `cirkit` and you should be able to run benchmarks.
diff --git a/benchmark/cirkit/__init__.py b/benchmark/cirkit/__init__.py
deleted file mode 100644
index e69de29b..00000000
diff --git a/benchmark/cirkit/run_cirkit.py b/benchmark/cirkit/run_cirkit.py
deleted file mode 100644
index 1a44ff33..00000000
--- a/benchmark/cirkit/run_cirkit.py
+++ /dev/null
@@ -1,178 +0,0 @@
-import argparse
-import enum
-import functools
-from dataclasses import dataclass
-from typing import List, Tuple
-
-import numpy as np
-import torch
-from torch import Tensor, optim
-from torch.utils.data import DataLoader, TensorDataset
-
-from benchmark.utils import benchmarker
-from cirkit.old.layers.input.exp_family import CategoricalLayer
-from cirkit.old.layers.sum_product.cp import UncollapsedCPLayer
-from cirkit.old.models import TensorizedPC
-from cirkit.old.region_graph import RegionGraph
-from cirkit.old.utils import RandomCtx, set_determinism
-
-device = torch.device("cuda")
-
-
-class _Modes(str, enum.Enum): # TODO: StrEnum introduced in 3.11
- """Execution modes."""
-
- TRAIN = "train"
- EVAL = "eval"
-
-
-@dataclass
-class _ArgsNamespace(argparse.Namespace):
- mode: _Modes = _Modes.TRAIN
- seed: int = 42
- num_batches: int = 20
- batch_size: int = 128
- region_graph: str = ""
- num_latents: int = 32 # TODO: rename this
- first_pass_only: bool = False
-
-
-def process_args() -> _ArgsNamespace:
- """Process command line arguments.
-
- Returns:
- ArgsNamespace: Parsed args.
- """
- parser = argparse.ArgumentParser()
- parser.add_argument("--mode", type=_Modes, choices=_Modes.__members__.values(), help="mode")
- parser.add_argument("--seed", type=int, help="seed, 0 for disable")
- parser.add_argument("--num_batches", type=int, help="num_batches")
- parser.add_argument("--batch_size", type=int, help="batch_size")
- parser.add_argument("--region_graph", type=str, help="region_graph filename")
- parser.add_argument("--num_latents", type=int, help="num_latents")
- parser.add_argument("--first_pass_only", action="store_true", help="first_pass_only")
- return parser.parse_args(namespace=_ArgsNamespace())
-
-
-@torch.no_grad()
-def evaluate(
- pc: TensorizedPC, data_loader: DataLoader[Tuple[Tensor, ...]]
-) -> Tuple[Tuple[List[float], List[float]], float]:
- """Evaluate circuit on given data.
-
- Args:
- pc (TensorizedPC): The PC to evaluate.
- data_loader (DataLoader[Tuple[Tensor, ...]]): The evaluation data.
-
- Returns:
- Tuple[Tuple[List[float], List[float]], float]:
- A tuple consisting of time and memory measurements, and the average LL.
- """
-
- def _iter(x: Tensor) -> Tensor:
- return pc(x)
-
- ll_total = 0.0
- ts, ms = [], []
- batch: Tuple[Tensor]
- for batch in data_loader:
- x = batch[0].to(device)
- ll, (t, m) = benchmarker(functools.partial(_iter, x))
- ts.append(t)
- ms.append(m)
- ll_total += ll.mean().item()
- del x, ll
- return (ts, ms), ll_total / len(data_loader)
-
-
-def train(
- pc: TensorizedPC, optimizer: optim.Optimizer, data_loader: DataLoader[Tuple[Tensor, ...]]
-) -> Tuple[Tuple[List[float], List[float]], float]:
- """Train circuit on given data.
-
- Args:
- pc (TensorizedPC): The PC to optimize.
- optimizer (optim.Optimizer): The optimizer for circuit.
- data_loader (DataLoader[Tuple[Tensor, ...]]): The training data.
-
- Returns:
- Tuple[Tuple[List[float], List[float]], float]:
- A tuple consisting of time and memory measurements, and the average LL.
- """
-
- def _iter(x: Tensor) -> Tensor:
- optimizer.zero_grad()
- ll = pc(x)
- ll = ll.mean()
- (-ll).backward() # type: ignore[no-untyped-call] # we optimize NLL
- optimizer.step()
- return ll.detach()
-
- ll_total = 0.0
- ts, ms = [], []
- batch: Tuple[Tensor]
- for batch in data_loader:
- x = batch[0].to(device)
- ll, (t, m) = benchmarker(functools.partial(_iter, x))
- ts.append(t)
- ms.append(m)
- ll_total += ll.item()
- del x, ll # TODO: is everything released properly
- return (ts, ms), ll_total / len(data_loader)
-
-
-def main() -> None:
- """Execute the main procedure."""
- args = process_args()
- assert args.region_graph, "Must provide a RG filename"
- print(args)
-
- if args.seed:
- # TODO: find a way to set w/o with
- RandomCtx(args.seed).__enter__() # pylint: disable=unnecessary-dunder-call
- set_determinism(check_hash_seed=True)
-
- num_vars = 28 * 28
- data_size = args.batch_size if args.first_pass_only else args.num_batches * args.batch_size
- rand_data = torch.randint(256, (data_size, num_vars), dtype=torch.uint8)
- data_loader = DataLoader(
- dataset=TensorDataset(rand_data),
- batch_size=args.batch_size,
- shuffle=True,
- pin_memory=True,
- drop_last=True,
- )
-
- pc = TensorizedPC.from_region_graph(
- RegionGraph.load(args.region_graph),
- layer_cls=UncollapsedCPLayer,
- efamily_cls=CategoricalLayer,
- layer_kwargs={"rank": 1}, # type: ignore[misc]
- efamily_kwargs={"num_categories": 256}, # type: ignore[misc]
- num_inner_units=args.num_latents,
- num_input_units=args.num_latents,
- )
- pc.to(device)
- print(pc)
- print(f"Number of parameters: {sum(p.numel() for p in pc.parameters())}")
-
- if args.mode == _Modes.TRAIN:
- optimizer = optim.Adam(pc.parameters()) # just keep everything default
- (ts, ms), ll_train = train(pc, optimizer, data_loader)
- print("Train LL:", ll_train)
- elif args.mode == _Modes.EVAL:
- (ts, ms), ll_eval = evaluate(pc, data_loader)
- print("Evaluation LL:", ll_eval)
- else:
- assert False, "Something is wrong here"
- if not args.first_pass_only and args.num_batches > 1:
- # Skip warmup step
- ts, ms = ts[1:], ms[1:]
- mu_t, sigma_t = np.mean(ts).item(), np.std(ts).item() # type: ignore[misc]
- mu_m, sigma_m = np.mean(ms).item(), np.std(ms).item() # type: ignore[misc]
- print(f"Time (ms): {mu_t:.3f}+-{sigma_t:.3f}")
- print(f"Memory (MiB): {mu_m:.3f}+-{sigma_m:.3f}")
-
-
-if __name__ == "__main__":
- main()
diff --git a/benchmark/install_submodule.sh b/benchmark/install_submodule.sh
deleted file mode 100755
index 15658ffa..00000000
--- a/benchmark/install_submodule.sh
+++ /dev/null
@@ -1,26 +0,0 @@
-#!/usr/bin/bash
-
-if [[ ! "$*" =~ (all|pyjuice|einet) ]]; then
- if [[ "$@" != *"--help"* ]]; then
- echo "Wrong usage!"
- echo
- fi
- echo "Usage: $0 [--help] [all] [pyjuice] [einet]"
- echo " --help Print this help message"
- echo " all Install all the following"
- echo " pyjuice Install submodule for pyjuice"
- echo " einet Install submodule for einet"
- exit 0
-fi
-
-# juice.jl does not include pip dependency
-
-if [[ "$@" == *"pyjuice"* || "$@" == *"all"* ]]; then
- echo "Installing submodule for pyjuice: "$(dirname $0)/pyjuice/pyjuice-april""
- pip install -e "$(dirname $0)/pyjuice/pyjuice-april"
-fi
-
-if [[ "$@" == *"einet"* || "$@" == *"all"* ]]; then
- echo "NOT IMPLEMENTED!"
- # TODO: add commands for einet
-fi
diff --git a/benchmark/juice.jl/ProbabilisticCircuits.jl b/benchmark/juice.jl/ProbabilisticCircuits.jl
deleted file mode 160000
index b749816f..00000000
--- a/benchmark/juice.jl/ProbabilisticCircuits.jl
+++ /dev/null
@@ -1 +0,0 @@
-Subproject commit b749816f0973312896bfd029afaf57b07d6d6217
diff --git a/benchmark/juice.jl/README.md b/benchmark/juice.jl/README.md
deleted file mode 100644
index c33cc520..00000000
--- a/benchmark/juice.jl/README.md
+++ /dev/null
@@ -1,19 +0,0 @@
-# Juice.jl Benchmark
-
-To be able to run the benchmark script ```run_benchmark.jl``` install the dependencies first.
-Launch ```julia```, open the package mode with ```]``` and run the following commands.
-
-```
-dev ProbabilisticCircuits.jl/
-add CUDA Images MLDatasets BenchmarkTools JSON StatsBase
-```
-
-Note that ```ProbabilisticCircuits.jl/``` is the local directory of the [ProbabilisticCircuits.jl](https://github.com/Juice-jl/ProbabilisticCircuits.jl) git submodule (tag v0.4.0).
-
-Launch the script ```run_benchmark.jl``` by specifying the CUDA device id, the model to benchmark (either RAT or HCLT) and the batch size, e.g.,
-```
-julia run_benchmark.jl 1 RAT 500
-```
-
-The script will measure times and memory usage of performing EVI, MAR and approximate MAP inference on the training CIFAR10 split.
-Then it will save the results in a JSON file.
diff --git a/benchmark/juice.jl/run_benchmark.jl b/benchmark/juice.jl/run_benchmark.jl
deleted file mode 100644
index df53f31d..00000000
--- a/benchmark/juice.jl/run_benchmark.jl
+++ /dev/null
@@ -1,273 +0,0 @@
-using JSON
-using Random
-using StatsBase
-using Statistics
-using BenchmarkTools
-using ProbabilisticCircuits
-using ProbabilisticCircuits: BitsProbCircuit, CuBitsProbCircuit, loglikelihoods
-using MLDatasets
-using CUDA
-using Images
-
-# From https://github.com/JuliaGPU/CUDA.jl/blob/2ae53a46658f10b0be32ae61fb4e145782ed9208/test/setup.jl
-macro grab_output(ex)
- quote
- mktemp() do fname, fout
- ret = nothing
- open(fname, "w") do fout
- redirect_stdout(fout) do
- ret = $(esc(ex))
-
- # NOTE: CUDA requires a 'proper' sync to flush its printf buffer
- synchronize(context())
- end
- end
- ret, read(fname, String)
- end
- end
-end
-
-
-function mnist_dataset()
- # Load the MNIST dataset and preprocess it
- train_int = transpose(reshape(MNIST(UInt8, split=:train).features, 28 * 28, :));
- test_int = transpose(reshape(MNIST(UInt8, split=:test).features, 28 * 28, :));
- train_data = UInt32.(train_int)
- test_data = UInt32.(test_int)
- train_data, test_data
-end
-
-function truncate_data(data::Matrix; bits = 3)
- data .÷ 2^bits
-end
-
-function convert_to_bytes(amount, fmt)
- if fmt == "KiB"
- to_bytes = 1e3
- elseif fmt == "MiB"
- to_bytes = 1e6
- elseif fmt == "GiB"
- to_bytes = 1e9
- else
- throw(AssertionError("Invalid memory format: " * fmt))
- end
- trunc(Int64, amount * to_bytes)
-end
-
-function retrieve_stats(pc::ProbCircuit)
- # Count the number of nodes (for each type)
- # Note that the internal implementation introduce additional sum units to _balance_ the computational graph
- # So the number of computational units showed here may differ if using other implementations
- num_inputs = length(inputnodes(pc))
- num_prods = length(mulnodes(pc))
- num_sums = length(sumnodes(pc))
- #println("Total number of nodes: $(num_inputs + num_prods + num_sums)")
- #println("Number of input nodes: $(num_inputs)")
- #println("Number of product nodes: $(num_prods)")
- #println("Number of sum nodes: $(num_sums)")
-
- # Count _all_ the learnable parameters, so independent is set to false
- num_params = num_parameters(pc, false)
- #println("Number of learnable parameters: $(num_params)")
-
- Dict(
- "num_inputs" => num_inputs,
- "num_prods" => num_prods,
- "num_sums" => num_sums,
- "num_params" => num_params
- )
-end
-
-function run_benchmark(
- pc::CuBitsProbCircuit, train_data, mis_train_data; batch_size = 128, samples = 100, burnin = 5,
- benchmark_mar = false, benchmark_map = false)
- # Select a batch of data only
- indices = StatsBase.sample(1:size(train_data, 1), batch_size, replace = false)
- train_data = train_data[indices, :]
- if benchmark_mar || benchmark_map
- mis_train_data = mis_train_data[indices, :]
- end
-
- # Benchmark feed-forward pass time (on CPU)
- #trial = @benchmark loglikelihoods($pc, $train_data; batch_size=$batch_size) samples=samples
- # Benchmark feed-forward pass time (on GPU)
- total_samples = burnin + samples
- evi_trial = @benchmark (CUDA.@sync loglikelihoods($pc, $train_data; batch_size=$batch_size)) samples=total_samples
- #dump(trial)
- #evi_trial = median(evi_trial)
- #dump(median(trial))
- #@time ll = loglikelihoods(pc, train_data; batch_size)
- #println("Test LL: $(mean(ll))")
- # Benchmark feed-forward GPU memory
- cuda_trial = @grab_output (CUDA.@time loglikelihoods(pc, train_data; batch_size=batch_size))
- cuda_alloc_memory = parse(Float64, split(split(cuda_trial[2], "GPU allocations:")[2])[1])
- cuda_alloc_memory_fmt = chop(split(split(cuda_trial[2], "GPU allocations:")[2])[2])
- evi_cuda_alloc_memory = convert_to_bytes(cuda_alloc_memory, cuda_alloc_memory_fmt)
- res = Dict(
- "evi" => Dict(
- "times" => last(evi_trial.times, length(evi_trial.times) - burnin),
- "gctimes" => last(evi_trial.gctimes, length(evi_trial.gctimes) - burnin),
- "cpu_alloc_memory" => evi_trial.memory,
- "cuda_alloc_memory" => evi_cuda_alloc_memory
- ))
-
- if benchmark_mar
- # Benchmark MAR inference (on GPU)
- mar_trial = @benchmark (CUDA.@sync loglikelihoods($pc, $mis_train_data; batch_size=$batch_size)) samples=total_samples
- #mar_trial = median(mar_trial)
- cuda_trial = @grab_output (CUDA.@time loglikelihoods(pc, mis_train_data; batch_size=batch_size))
- cuda_alloc_memory = parse(Float64, split(split(cuda_trial[2], "GPU allocations:")[2])[1])
- cuda_alloc_memory_fmt = chop(split(split(cuda_trial[2], "GPU allocations:")[2])[2])
- mar_cuda_alloc_memory = convert_to_bytes(cuda_alloc_memory, cuda_alloc_memory_fmt)
- res["mar"] = Dict(
- "times" => last(mar_trial.times, length(mar_trial.times) - burnin),
- "gctimes" => last(mar_trial.gctimes, length(mar_trial.gctimes) - burnin),
- "cpu_alloc_memory" => mar_trial.memory,
- "cuda_alloc_memory" => mar_cuda_alloc_memory
- )
- end
-
- if benchmark_map
- # Benchmark MAP inference (on GPU)
- map_trial = @benchmark (CUDA.@sync MAP($pc, $mis_train_data; batch_size=$batch_size)) samples=total_samples
- #map_trial = median(map_trial)
- cuda_trial = @grab_output (CUDA.@time MAP(pc, mis_train_data; batch_size=batch_size))
- cuda_alloc_memory = parse(Float64, split(split(cuda_trial[2], "GPU allocations:")[2])[1])
- cuda_alloc_memory_fmt = chop(split(split(cuda_trial[2], "GPU allocations:")[2])[2])
- map_cuda_alloc_memory = convert_to_bytes(cuda_alloc_memory, cuda_alloc_memory_fmt)
- res["map"] = Dict(
- "times" => last(map_trial.times, length(map_trial.times) - burnin),
- "gctimes" => last(map_trial.gctimes, length(map_trial.gctimes) - burnin),
- "cpu_alloc_memory" => map_trial.memory,
- "cuda_alloc_memory" => map_cuda_alloc_memory
- )
- end
-
- res
-end
-
-function run_benchmark_rat(
- train_data, mis_train_data;
- batch_size = 128, num_nodes_region = 2, num_nodes_leaf = 2, rg_depth = 1, rg_replicas = 1)
- num_features = size(train_data, 2)
-
- # Only categorical and binomial distributions are available
- #input_func = RAT_InputFunc(Binomial, 256)
- input_func = RAT_InputFunc(Categorical, 256)
-
- # Instantiate a RAT-SPN with the given parameters
- Random.seed!(42)
- pc = RAT(num_features; input_func, num_nodes_region, num_nodes_leaf, rg_depth, rg_replicas, balance_childs_parents=false)
- init_parameters(pc; perturbation = 0.5)
- stats = retrieve_stats(pc)
-
- # Layerize the circuit, move to GPU and run benchmarks
- pc = CuBitsProbCircuit(BitsProbCircuit(pc))
- results = run_benchmark(pc, train_data, mis_train_data; batch_size=batch_size)
-
- Dict(
- "hparams" => Dict(
- "num_nodes_region" => num_nodes_region,
- "num_nodes_leaf" => num_nodes_leaf,
- "rg_depth" => rg_depth,
- "rg_replicas" => rg_replicas
- ),
- "stats" => stats,
- "results" => results
- )
-end
-
-function run_benchmark_hclt(train_data, mis_train_data, truncated_data; batch_size = 100, latents = 8)
- # Instantiate a HCLT with the given parameters
- Random.seed!(42)
- pc = hclt(truncated_data, latents, num_cats = 256, pseudocount = 0.1, input_type = Categorical)
- init_parameters(pc; perturbation = 0.5)
- stats = retrieve_stats(pc)
-
- # Layerize the circuit, move to GPU and run benchmarks
- pc = CuBitsProbCircuit(BitsProbCircuit(pc));
- results = run_benchmark(pc, train_data, mis_train_data; batch_size=batch_size)
-
- Dict(
- "hparams" => Dict(
- "latents" => latents
- ),
- "stats" => stats,
- "results" => results
- )
-end
-
-# Install the following Julia dependencies
-# add ProbabilisticCircuits.jl CUDA Images MLDatasets BenchmarkTools JSON StatsBase
-#
-# Executes a benchmark on HCLTs on cuda:1 using batch size 128
-# julia run_benchmark.jl 1 HCLT 128
-#
-function main()
- # Get arguments
- if length(ARGS) < 3
- println("Specify CUDA device id (e.g., 1), model name (either RAT or HCLT), and batch size (e.g., 128)")
- exit(1)
- end
- device_id = parse(UInt64, ARGS[1])
- model_name = ARGS[2]
- if !(model_name in ["RAT", "HCLT"])
- println("Specify either RAT or HCLT as model name")
- exit(1)
- end
- batch_size = parse(Int64, ARGS[3])
- device!(device_id)
- BenchmarkTools.DEFAULT_PARAMETERS.seconds = 7200
-
- # Load the dataset
- train_data_cpu, _ = mnist_dataset()
- train_data = cu(train_data_cpu)
- mis_train_data = Array{Union{Missing, UInt8}}(train_data)
- Random.seed!(42)
- # Construct data set with 50% missing features
- cols_to_marginalise = StatsBase.sample(1:size(train_data, 2), trunc(Int64, size(train_data, 2) / 2), replace = false)
- mis_train_data[:, cols_to_marginalise] .= missing
- mis_train_data = cu(mis_train_data)
-
- if model_name == "RAT"
- default_rg_depth = 9
- default_rg_replicas = 1
- hp_num_sum = [16, 32, 64, 128, 256, 512]
- results = Dict()
-
- # Benchmark by varying the number of sum and leaf units per region
- results["num_sum_region"] = []
- for k in hp_num_sum
- println("Benchmarking RAT with K = " * string(k))
- res = run_benchmark_rat(train_data, mis_train_data;
- batch_size = batch_size, num_nodes_region = k, num_nodes_leaf = k,
- rg_depth = default_rg_depth, rg_replicas = default_rg_replicas
- )
- push!(results["num_sum_region"], res)
- end
- else # model_name == "HCLT"
- # Sample and preprocess a subset of the data for the Chow-Liu Tree algorithm
- filtered_data = collect(transpose(reshape(train_data_cpu, 28 * 28, :)))
- truncated_data = truncate_data(filtered_data; bits = 3)
- truncated_data = cu(truncated_data)
-
- hp_latents = [16, 32, 64, 128, 256, 512]
- results = Dict()
-
- # Benchmark by varying the support size for each latent variable
- results["latents"] = []
- for l in hp_latents
- println("Benchmarking HCLT with L = " * string(l))
- res = run_benchmark_hclt(train_data, mis_train_data, truncated_data;
- batch_size = batch_size, latents = l
- )
- push!(results["latents"], res)
- end
- end
-
- open("pcs-jl-" * model_name * "-trials.json", "w") do f
- JSON.print(f, results, 4)
- end
-end
-
-main()
diff --git a/benchmark/pyjuice/README.md b/benchmark/pyjuice/README.md
deleted file mode 100644
index 0d47819b..00000000
--- a/benchmark/pyjuice/README.md
+++ /dev/null
@@ -1,20 +0,0 @@
-# `pyjuice` Benchmark
-
-## Setup
-First, remember to initiate the submodule if you haven't. We use submodule for a managed `pyjuice` version dedicated for this repo.
-
-```shell
-git submodule update --init ./pyjuice-april
-```
-
-Then, install the submodule with dependencies. We use a script to manage all benchmarks collectively.
-
-```shell
-../install_submodule.sh pyjuice
-```
-
-## Run benchmark
-
-The `run_pyjuice.py` runs one pass and generates raw benchmark data with given configs (including several batches). It also includes a sanity check (directly execute `python run_pyjuice.py` without args).
-
-The `run_benchmark.py` runs the whole benchmark suite by calling `run_pyjuice.py` in a child process. In order to correctly evaluate the initialization (compilation) time, it must be put into another process and restarted every time. (For other tests, just increase the number of batches.)
diff --git a/benchmark/pyjuice/__init__.py b/benchmark/pyjuice/__init__.py
deleted file mode 100644
index e69de29b..00000000
diff --git a/benchmark/pyjuice/load_rg.py b/benchmark/pyjuice/load_rg.py
deleted file mode 100644
index 615de034..00000000
--- a/benchmark/pyjuice/load_rg.py
+++ /dev/null
@@ -1,83 +0,0 @@
-import json
-from typing import Dict, List, TypedDict, Union
-
-import torch
-from pyjuice.graph.region_graph import InnerRegionNode, InputRegionNode, PartitionNode, RegionGraph
-from pyjuice.layer.input_layers.categorical_layer import CategoricalLayer
-
-
-class _RGJson(TypedDict):
- """The structure of region graph json file."""
-
- regions: Dict[str, List[int]]
- graph: List[Dict[str, int]]
-
-
-def _dfs_build(
- key: int,
- nodes_cache: Dict[int, Union[InnerRegionNode, InputRegionNode]],
- graph_json: _RGJson,
- num_latents: int,
- is_root: bool,
-) -> Union[InnerRegionNode, InputRegionNode]:
- """Build the region graph recursively.
-
- Args:
- key (int): The current region to build.
- nodes_cache (Dict[int, Union[InnerRegionNode, InputRegionNode]]): The cache for built nodes.
- graph_json (_RGJson): The graph structure loaded from json.
- num_latents (int): Num latents for region graph nodes.
- is_root (bool): Whether `key` is the global root.
-
- Returns:
- Union[InnerRegionNode, InputRegionNode]: Region graph rooted at `key`.
- """
- if key in nodes_cache:
- return nodes_cache[key]
-
- if len(scope := graph_json["regions"][str(key)]) == 1: # we only accept uni-var input layer
- nodes_cache[key] = InputRegionNode(scope, num_latents, CategoricalLayer, num_cats=256)
- return nodes_cache[key]
-
- partitions: List[PartitionNode] = []
- for partition in graph_json["graph"]:
- if partition["p"] == key:
- left = _dfs_build(partition["l"], nodes_cache, graph_json, num_latents, False)
- right = _dfs_build(partition["r"], nodes_cache, graph_json, num_latents, False)
-
- edge_ids = torch.arange(num_latents).view(-1, 1).repeat(1, 2)
- partitions.append(PartitionNode([left, right], num_latents, edge_ids))
- assert len(partitions) == 1 # we don't know what to do with more than 1
-
- num_out = 1 if is_root else num_latents
- parent_ids, child_ids = torch.meshgrid(
- torch.arange(num_out), torch.arange(num_latents), indexing="ij"
- )
- nodes_cache[key] = InnerRegionNode(
- partitions, num_out, torch.stack((parent_ids, child_ids), dim=0).view(2, -1)
- )
- return nodes_cache[key]
-
-
-def load_region_graph(filename: str, num_latents: int) -> RegionGraph:
- """Load region graph from json file.
-
- Args:
- filename (str): The filename for region graph.
- num_latents (int): Num latents to build the graph.
-
- Returns:
- RegionGraph: The root node of loaded region graph.
- """
- with open(filename, "r", encoding="utf-8") as f:
- graph_json: _RGJson = json.load(f)
-
- all_children = set(partition["l"] for partition in graph_json["graph"]).union(
- partition["r"] for partition in graph_json["graph"]
- )
- all_regions = set(int(key) for key in graph_json["regions"].keys())
- assert all_children.issubset(all_regions)
- root_region = all_regions.difference(all_children)
- assert len(root_region) == 1
-
- return _dfs_build(root_region.pop(), {}, graph_json, num_latents, True)
diff --git a/benchmark/pyjuice/pyjuice-april b/benchmark/pyjuice/pyjuice-april
deleted file mode 160000
index f7fcadc1..00000000
--- a/benchmark/pyjuice/pyjuice-april
+++ /dev/null
@@ -1 +0,0 @@
-Subproject commit f7fcadc14ab4b38506209a0b3356abb0856329d7
diff --git a/benchmark/pyjuice/run_benchmark.py b/benchmark/pyjuice/run_benchmark.py
deleted file mode 100644
index 2716e759..00000000
--- a/benchmark/pyjuice/run_benchmark.py
+++ /dev/null
@@ -1,103 +0,0 @@
-import os
-import subprocess
-from typing import List, Tuple
-
-COMPILE_FLAG = 0b0011_1111_1111_1111
-BASE_SEED = 42
-NUM_BATCHES = 100
-BATCH_SIZE = 128
-K_SETTINGS = (16, 32, 64, 128, 256, 512)
-NUM_FIRST_PASSES = 10
-
-HERE = os.path.split(__file__)[0]
-RESULT_DIR = os.path.join(HERE, "benchmark_results")
-if not os.path.exists(RESULT_DIR):
- os.makedirs(RESULT_DIR)
-
-command = [
- "python",
- "run_pyjuice.py",
- "--mode",
- "eval",
- "--seed",
- str(BASE_SEED),
- "--num_batches",
- str(NUM_BATCHES),
- "--batch_size",
- str(BATCH_SIZE),
- "--region_graph",
- "../quad_tree_28x28.json", # cwd is HERE
- "--num_latents",
- "32",
- "--first_pass_only",
-]
-position = {"mode": 3, "seed": 5, "num_latents": 13, "first_pass_only": 14}
-env = os.environ.copy()
-bench_env = {"PYTHONHASHSEED": str(BASE_SEED), "JUICE_COMPILE_FLAG": "0"}
-env.update(bench_env)
-
-
-def parse_run() -> List[Tuple[float, float]]:
- """Run benchmark once and parse the results.
-
- Require `command` and `env` gloablly set inplace.
-
- Returns:
- List[Tuple[float, float]]: The benchmark results in (time,mem) form.
- """
- result = subprocess.run(
- command,
- capture_output=True,
- cwd=HERE,
- check=False,
- text=True,
- env=env,
- )
- print("STDERR:")
- print(result.stderr) # have an extra newline
-
- print("STDOUT:")
- time_mem: List[Tuple[float, float]] = []
- for ln in result.stdout.splitlines():
- if ln[:5] == "t/m: ":
- t_m = ln[5:].split()
- time_mem.append((float(t_m[0]), float(t_m[1])))
- else:
- print(ln)
- print("\n") # add an extra newline
-
- if result.returncode:
- return [(-1, -1)] # meaning this run is broken
-
- return time_mem
-
-
-for compiled in (False, True):
- bench_env["JUICE_COMPILE_FLAG"] = str(compiled * COMPILE_FLAG)
- for mode in ("batch_em", "full_em", "eval"):
- command[position["mode"]] = mode
- for num_latents in K_SETTINGS:
- command[position["num_latents"]] = str(num_latents)
- for first_pass_only in (False, True):
- command = command[: position["first_pass_only"]] + (
- ["--first_pass_only"] if first_pass_only else []
- )
- # add a dummy entry so that the first is always ignored
- time_memory: List[Tuple[float, float]] = [(-1, -1)] if first_pass_only else []
- for seed in range(1, NUM_FIRST_PASSES) if first_pass_only else (0,):
- bench_env["PYTHONHASHSEED"] = command[position["seed"]] = str(BASE_SEED + seed)
- env.update(bench_env)
- print(" ".join([f"{k}={v}" for k, v in bench_env.items()] + command))
- time_memory.extend(parse_run())
-
- with open(
- os.path.join(
- RESULT_DIR,
- f"{compiled=}-{mode=}-batch_size={BATCH_SIZE}"
- f"-{num_latents=}-{first_pass_only=}.csv",
- ),
- "w",
- encoding="utf-8",
- ) as f:
- for t, m in time_memory[1:]:
- print(f"{t},{m}", file=f)
diff --git a/benchmark/pyjuice/run_pyjuice.py b/benchmark/pyjuice/run_pyjuice.py
deleted file mode 100644
index 80a67d4b..00000000
--- a/benchmark/pyjuice/run_pyjuice.py
+++ /dev/null
@@ -1,270 +0,0 @@
-import argparse
-import enum
-import functools
-import logging
-import os
-import random
-from dataclasses import dataclass
-from typing import Callable, Tuple, TypeVar
-
-import numpy as np
-import torch
-from torch import Tensor
-from torch.utils.data import DataLoader, TensorDataset
-
-from .load_rg import load_region_graph
-
-# cat prod ---sum---
-# 0011_1111_1111_1111
-if "JUICE_COMPILE_FLAG" not in os.environ:
- os.environ["JUICE_COMPILE_FLAG"] = str(0b0011_1111_1111_1111)
-print(os.environ["JUICE_COMPILE_FLAG"])
-import pyjuice as juice # pylint: disable=wrong-import-order,wrong-import-position
-from pyjuice import ProbCircuit # pylint: disable=wrong-import-order,wrong-import-position
-
-# disable only the following warnings (there shouldn't be other warnings by torch._inductor.utils)
-# torch._inductor.utils: [WARNING] skipping cudagraphs due to input mutation
-logging.getLogger("torch._inductor.utils").setLevel(logging.ERROR)
-
-device = torch.device("cuda")
-
-
-def seed_all(seed: int) -> None:
- """Seed all random generators and enforce deterministic algorithms to \
- guarantee reproducible results (may limit performance).
-
- Args:
- seed (int): The seed shared by all RNGs.
- """
- seed %= 2**32 # some only accept 32bit seed
- assert os.environ.get("PYTHONHASHSEED", "") == str(
- seed
- ), "Must set PYTHONHASHSEED to the same seed before starting python."
- random.seed(seed)
- np.random.seed(seed)
- torch.manual_seed(seed)
- torch.use_deterministic_algorithms(True, warn_only=True)
- torch.backends.cudnn.benchmark = False
- os.environ["CUBLAS_WORKSPACE_CONFIG"] = ":16:8"
-
-
-class _Modes(str, enum.Enum):
- """Execution modes."""
-
- SANITY = "sanity"
- BATCH_EM = "batch_em"
- FULL_EM = "full_em"
- EVAL = "eval"
-
-
-@dataclass
-class _ArgsNamespace(argparse.Namespace):
- mode: _Modes = _Modes.SANITY
- seed: int = 0xC699345C # default is CRC32 of 'april-tools' = 3331929180
- num_batches: int = 20
- batch_size: int = 512
- region_graph: str = "from_data"
- num_latents: int = 32
- first_pass_only: bool = False
-
-
-def process_args() -> _ArgsNamespace:
- """Process command line arguments.
-
- Returns:
- ArgsNamespace: Parsed args.
- """
- parser = argparse.ArgumentParser()
- parser.add_argument("--mode", type=_Modes, choices=_Modes.__members__.values(), help="mode")
- parser.add_argument("--seed", type=int, help="seed")
- parser.add_argument("--num_batches", type=int, help="num_batches")
- parser.add_argument("--batch_size", type=int, help="batch_size")
- parser.add_argument("--region_graph", type=str, help="region_graph filename")
- parser.add_argument("--num_latents", type=int, help="num_latents")
- parser.add_argument("--first_pass_only", action="store_true", help="first_pass_only")
- return parser.parse_args(namespace=_ArgsNamespace())
-
-
-T = TypeVar("T")
-
-
-def benchmarker(fn: Callable[[], T]) -> Tuple[T, Tuple[float, float]]:
- """Benchmark a given function and record time and GPU memory cost.
-
- Args:
- fn (Callable[[], T]): The function to benchmark.
-
- Returns:
- Tuple[T, Tuple[float, float]]: The original return value, followed by \
- time in milliseconds and peak memory in megabytes (1024 scale).
- """
- torch.cuda.synchronize() # finish all prev ops and reset mem counter
- torch.cuda.reset_peak_memory_stats()
- # TODO: repeated with benchmark/utils/gpu_benchmark.py
- start_event = torch.cuda.Event(enable_timing=True) # type: ignore[no-untyped-call]
- end_event = torch.cuda.Event(enable_timing=True) # type: ignore[no-untyped-call]
- start_event.record(torch.cuda.current_stream()) # type: ignore[no-untyped-call]
-
- ret = fn()
-
- end_event.record(torch.cuda.current_stream()) # type: ignore[no-untyped-call]
- torch.cuda.synchronize() # wait for event finish
- elapsed_time: float = start_event.elapsed_time(end_event) # type: ignore[no-untyped-call] # ms
- peak_memory = torch.cuda.max_memory_allocated() / 2**20 # MB
- return ret, (elapsed_time, peak_memory)
-
-
-@torch.no_grad()
-def evaluate(pc: juice.ProbCircuit, data_loader: DataLoader[Tuple[Tensor, ...]]) -> float:
- """Evaluate circuit on given data.
-
- Args:
- pc (juice.ProbCircuit): The PC to evaluate.
- data_loader (DataLoader[Tuple[Tensor, ...]]): The evaluation data.
-
- Returns:
- float: The average LL.
- """
-
- def _iter(x: Tensor) -> Tensor:
- return pc(x) # type: ignore[no-any-return,misc]
-
- ll_total = 0.0
- batch: Tuple[Tensor]
- for batch in data_loader:
- x = batch[0].to(device)
- ll, (t, m) = benchmarker(functools.partial(_iter, x))
- print("t/m:", t, m)
- ll_total += ll.mean().item()
- del x, ll
- return ll_total / len(data_loader)
-
-
-def batch_em_epoch(
- pc: juice.ProbCircuit,
- optimizer: juice.optim.CircuitOptimizer,
- data_loader: DataLoader[Tuple[Tensor, ...]],
-) -> float:
- """Perform EM optimization on mini batches for one epoch.
-
- Args:
- pc (juice.ProbCircuit): The PC to optimize.
- optimizer (juice.optim.CircuitOptimizer): The optimizer for circuit.
- data_loader (DataLoader[Tuple[Tensor, ...]]): The training data.
-
- Returns:
- float: The average LL.
- """
-
- def _iter(x: Tensor) -> Tensor:
- optimizer.zero_grad()
- ll: Tensor = pc(x)
- ll = ll.mean()
- ll.backward() # type: ignore[no-untyped-call]
- optimizer.step()
- return ll.detach()
-
- ll_total = 0.0
- batch: Tuple[Tensor]
- for batch in data_loader:
- x = batch[0].to(device)
- ll, (t, m) = benchmarker(functools.partial(_iter, x))
- print("t/m:", t, m)
- ll_total += ll.item()
- del x, ll
- return ll_total / len(data_loader)
-
-
-@torch.no_grad()
-def full_em_epoch(pc: juice.ProbCircuit, data_loader: DataLoader[Tuple[Tensor, ...]]) -> float:
- """Perform EM optimization on full dataset for one epoch.
-
- Args:
- pc (juice.ProbCircuit): The PC to optimize.
- data_loader (DataLoader[Tuple[Tensor, ...]]): The training data.
-
- Returns:
- float: The average LL.
- """
-
- def _iter(x: Tensor) -> Tensor:
- ll: Tensor = pc(x)
- pc.backward(x, flows_memory=1.0)
- return ll
-
- ll_total = 0.0
- batch: Tuple[Tensor]
- for batch in data_loader:
- x = batch[0].to(device)
- ll, (t, m) = benchmarker(functools.partial(_iter, x))
- print("t/m:", t, m)
- ll_total += ll.mean().item()
- del x, ll
-
- # TODO: this is mypy bug
- _, (t, m) = benchmarker( # type: ignore[misc]
- functools.partial(pc.mini_batch_em, step_size=1.0, pseudocount=0.1)
- )
- print("t/m:", t, m)
- return ll_total / len(data_loader)
-
-
-def main() -> None:
- """Execute the main procedure."""
- args = process_args()
- print(args)
- assert not args.mode == _Modes.SANITY or (
- args.seed == _ArgsNamespace.seed
- and args.num_batches == _ArgsNamespace.num_batches
- and args.batch_size == _ArgsNamespace.batch_size
- and args.region_graph == _ArgsNamespace.region_graph
- and args.num_latents == _ArgsNamespace.num_latents
- and args.first_pass_only == _ArgsNamespace.first_pass_only
- ), "Must use default hyper-params for sanity check."
-
- seed_all(args.seed)
-
- num_features = 28 * 28
- data_size = args.batch_size if args.first_pass_only else args.num_batches * args.batch_size
- rand_data = torch.randint(256, (data_size, num_features), dtype=torch.uint8)
- data_loader = DataLoader(
- dataset=TensorDataset(rand_data),
- batch_size=args.batch_size,
- shuffle=True,
- pin_memory=True,
- drop_last=True,
- )
-
- if args.region_graph == _ArgsNamespace.region_graph:
- num_bins = 32
- sigma = 0.5 / 32
- chunk_size = 32
- pc = juice.structures.HCLT(
- rand_data.to(device),
- num_bins=num_bins,
- sigma=sigma,
- chunk_size=chunk_size,
- num_latents=args.num_latents,
- )
- else:
- rg = load_region_graph(args.region_graph, args.num_latents)
- pc = ProbCircuit(rg)
- pc.to(device)
-
- if args.mode in (_Modes.BATCH_EM, _Modes.SANITY):
- optimizer = juice.optim.CircuitOptimizer(pc) # just keep it default
- ll_batch = batch_em_epoch(pc, optimizer, data_loader)
- print("batch_em LL:", ll_batch)
- if args.mode in (_Modes.FULL_EM, _Modes.SANITY):
- ll_full = full_em_epoch(pc, data_loader)
- print("full_em LL:", ll_full)
- if args.mode in (_Modes.EVAL, _Modes.SANITY):
- ll_eval = evaluate(pc, data_loader)
- print("eval LL:", ll_eval)
- if args.mode == _Modes.SANITY:
- # -4285.7583... is an exact float32 number, 2^-10 is 2eps
- assert abs(ll_eval - -4285.75830078125) < 2**-10, "eval LL out of allowed error range"
-
-
-if __name__ == "__main__":
- main()
diff --git a/benchmark/rgraphs/pd_28x28_d5.json b/benchmark/rgraphs/pd_28x28_d5.json
deleted file mode 100644
index 095c6e7b..00000000
--- a/benchmark/rgraphs/pd_28x28_d5.json
+++ /dev/null
@@ -1 +0,0 @@
-{"regions": {"0": [771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755], "1": [768, 769, 770, 771, 772, 773, 774, 775, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767], "2": [776, 777, 778, 779, 780, 781, 782, 783, 720, 721, 722, 723, 724, 725, 726, 727, 748, 749, 750, 751, 752, 753, 754, 755], "3": [768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767], "4": [781, 782, 783, 753, 754, 755, 725, 726, 727], "5": [512, 513, 5, 6, 7, 8, 9, 537, 538, 539, 540, 541, 33, 34, 35, 36, 37, 565, 566, 567, 568, 569, 61, 62, 63, 64, 65, 593, 594, 595, 596, 597, 89, 90, 91, 92, 93, 621, 622, 623, 624, 625, 117, 118, 119, 120, 121, 649, 650, 651, 652, 653, 145, 146, 147, 148, 149, 677, 678, 679, 680, 681, 173, 174, 175, 176, 177, 705, 706, 707, 708, 709, 201, 202, 203, 204, 205, 733, 734, 735, 736, 737, 229, 230, 231, 232, 233, 761, 762, 763, 764, 765, 257, 258, 259, 260, 261, 285, 286, 287, 288, 289, 313, 314, 315, 316, 317, 341, 342, 343, 344, 345, 369, 370, 371, 372, 373, 397, 398, 399, 400, 401, 425, 426, 427, 428, 429, 453, 454, 455, 456, 457, 481, 482, 483, 484, 485, 509, 510, 511], "6": [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 145, 146, 147, 148, 149, 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\ No newline at end of file
diff --git a/benchmark/rgraphs/pd_28x28_d7.json b/benchmark/rgraphs/pd_28x28_d7.json
deleted file mode 100644
index 4ed94652..00000000
--- a/benchmark/rgraphs/pd_28x28_d7.json
+++ /dev/null
@@ -1 +0,0 @@
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diff --git a/benchmark/rgraphs/qt_28x28.json b/benchmark/rgraphs/qt_28x28.json
deleted file mode 100644
index 27b28398..00000000
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diff --git a/benchmark/rgraphs/qt_28x28_sd.json b/benchmark/rgraphs/qt_28x28_sd.json
deleted file mode 100644
index 29c94316..00000000
--- a/benchmark/rgraphs/qt_28x28_sd.json
+++ /dev/null
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diff --git a/benchmark/rgraphs/rbt_784_d4_r16.json b/benchmark/rgraphs/rbt_784_d4_r16.json
deleted file mode 100644
index 9d401dd8..00000000
--- a/benchmark/rgraphs/rbt_784_d4_r16.json
+++ /dev/null
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\ No newline at end of file
diff --git a/benchmark/submodule-usage.md b/benchmark/submodule-usage.md
deleted file mode 100644
index 9b97c425..00000000
--- a/benchmark/submodule-usage.md
+++ /dev/null
@@ -1,38 +0,0 @@
-**The following takes pyjuice as an example.**
-
-## Add a new submodule
-```bash
-git submodule add https://github.com/Juice-jl/pyjuice.git
-```
-This will update the `/.gitmodule` file and clone the submodule repo into the *current pwd*. The HEAD commit of submodule main(master) *at the time of adding* is tracked unless updated later.
-
-
-About submodule file
-
-`.gitmodule` in repo root contains config for all submodules. The command before generates:
-```git
-[submodule "benchmark/pyjuice"]
- path = benchmark/pyjuice
- url = https://github.com/Juice-jl/pyjuice.git
-```
-(this is the minimum profile and more can be configured)
-
-`pyjuice` will be committed as a mode 160000 file with content:
-```
-Subproject commit f00f1743fe237091c78e7f786396d0cfb7f68ecf
-```
-(`f00f17` is the latest commit at the time of writing)
-
-
-
-Any repo (public/private) can be added as a submodule of any repo (public/private), as long as you have proper access to the repos.
-
-## Clone a repo with submodule(s)
-```shell
-git clone --recurse-submodules https://github.com/april-tools/cirkit.git
-```
-
-If you forgot to clone with submodules (or switched branch, etc.), run to fetch:
-```shell
-git submodule update --init --recursive
-```
diff --git a/benchmark/utils/__init__.py b/benchmark/utils/__init__.py
deleted file mode 100644
index c044fa03..00000000
--- a/benchmark/utils/__init__.py
+++ /dev/null
@@ -1,2 +0,0 @@
-from .gpu_benchmark import benchmarker as benchmarker
-from .gpu_benchmark import timer as timer
diff --git a/benchmark/utils/gpu_benchmark.py b/benchmark/utils/gpu_benchmark.py
deleted file mode 100644
index c3bf0561..00000000
--- a/benchmark/utils/gpu_benchmark.py
+++ /dev/null
@@ -1,46 +0,0 @@
-from typing import Callable, Tuple, TypeVar
-
-import torch
-
-T = TypeVar("T")
-
-
-def timer(fn: Callable[[], T]) -> Tuple[T, float]:
- """Time a given function for GPU time cost.
-
- Args:
- fn (Callable[[], T]): The function to time.
-
- Returns:
- Tuple[T, float]: The original return value, and time in ms.
- """
- # TODO: torch typing issue
- start_event = torch.cuda.Event(enable_timing=True) # type: ignore[no-untyped-call]
- end_event = torch.cuda.Event(enable_timing=True) # type: ignore[no-untyped-call]
- start_event.record(torch.cuda.current_stream()) # type: ignore[no-untyped-call]
-
- ret = fn()
-
- end_event.record(torch.cuda.current_stream()) # type: ignore[no-untyped-call]
- torch.cuda.synchronize() # wait for event to be recorded
- # TODO: Event.elapsed_time is not typed
- elapsed_time: float = start_event.elapsed_time(end_event) # type: ignore[no-untyped-call]
- return ret, elapsed_time
-
-
-def benchmarker(fn: Callable[[], T]) -> Tuple[T, Tuple[float, float]]:
- """Benchmark a given function for GPU time and (peak) memory cost.
-
- Args:
- fn (Callable[[], T]): The function to benchmark.
-
- Returns:
- Tuple[T, Tuple[float, float]]: The original return value, and time in ms and memory in MiB.
- """
- torch.cuda.synchronize() # finish all previous work before resetting mem stats
- torch.cuda.reset_peak_memory_stats()
-
- ret, elapsed_time = timer(fn)
-
- peak_memory = torch.cuda.max_memory_allocated() / 2**20
- return ret, (elapsed_time, peak_memory)
diff --git a/cirkit/backend/torch/layers/__init__.py b/cirkit/backend/torch/layers/__init__.py
index 63f61e17..4c2ff292 100644
--- a/cirkit/backend/torch/layers/__init__.py
+++ b/cirkit/backend/torch/layers/__init__.py
@@ -11,5 +11,6 @@
from .input import TorchGaussianLayer as TorchGaussianLayer
from .input import TorchInputLayer as TorchInputLayer
from .input import TorchLogPartitionLayer as TorchLogPartitionLayer
+from .input import TorchPolynomialLayer as TorchPolynomialLayer
from .optimized import TorchCPTLayer as TorchCPTLayer
from .optimized import TorchTuckerLayer as TorchTuckerLayer
diff --git a/cirkit/backend/torch/layers/input.py b/cirkit/backend/torch/layers/input.py
index f17299e8..72c17866 100644
--- a/cirkit/backend/torch/layers/input.py
+++ b/cirkit/backend/torch/layers/input.py
@@ -7,7 +7,7 @@
from cirkit.backend.torch.layers import TorchLayer
from cirkit.backend.torch.parameters.parameter import TorchParameter
-from cirkit.backend.torch.semiring import LSESumSemiring, Semiring
+from cirkit.backend.torch.semiring import LSESumSemiring, Semiring, SumProductSemiring
class TorchInputLayer(TorchLayer, ABC):
@@ -288,7 +288,7 @@ def log_partition_function(self) -> Tensor:
class TorchGaussianLayer(TorchExpFamilyLayer):
"""The Normal distribution layer.
- This is fully factorized down to univariate Categorical distributions.
+ This is fully factorized down to univariate Gaussian distributions.
"""
def __init__(
@@ -416,6 +416,9 @@ def forward(self, x: Tensor) -> Tensor:
value = value.expand(value.shape[0], x.shape[2], value.shape[2])
return self.semiring.map_from(value, LSESumSemiring)
+ def integrate(self) -> Tensor:
+ raise TypeError("Cannot integrate a layer computing a log-partition function")
+
class TorchEvidenceLayer(TorchConstantLayer):
def __init__(
@@ -471,3 +474,106 @@ def forward(self, x: Tensor) -> Tensor:
obs = obs.unsqueeze(dim=2) # (F, C, 1, D)
obs = obs.expand(obs.shape[0], obs.shape[1], x.shape[2], obs.shape[3]) # (F, C, B, D)
return self.layer(obs) # (F, B, K)
+
+
+# TODO: could be in backends/torch/utils, can be reused by PolyGaussian
+def polyval(coeff: Tensor, x: Tensor) -> Tensor:
+ """Evaluate polynomial given coefficients and point, with the shape for PolynomialLayer.
+
+ Args:
+ coeff (Tensor): The coefficients of the polynomial, shape (F, Ko, deg+1).
+ x (Tensor): The point of the variable, shape (F, H, B, Ki), where H=Ki=1.
+
+ Returns:
+ Tensor: The value of the polymonial, shape (F, B, Ko).
+ """
+ x = x.squeeze(dim=1) # shape (F, H=1, B, Ki=1) -> (F, B, 1).
+ y = x.new_zeros(*x.shape[:-1], coeff.shape[-2]) # shape (F, B, Ko).
+
+ # TODO: iterating over dim=2 is inefficient
+ for a_n in reversed(coeff.unbind(dim=2)): # Reverse iterator of the degree axis, shape (F, Ko).
+ # a_n shape (F, Ko) -> (F, 1, Ko).
+ y = torch.addcmul(a_n.unsqueeze(dim=1), x, y) # y = a_n + x * y, by Horner's method.
+ return y # shape (F, B, Ko).
+
+
+class TorchPolynomialLayer(TorchInputLayer):
+ """The Polynomial layer.
+
+ This is fully factorized down to univariate polynomials w.r.t. channels.
+ """
+
+ def __init__(
+ self,
+ scope_idx: Tensor,
+ num_output_units: int,
+ *,
+ num_channels: int = 1,
+ degree: int,
+ coeff: TorchParameter,
+ semiring: Optional[Semiring] = None,
+ ) -> None:
+ """Init class.
+
+ Args:
+ scope_idx: A tensor of shape (F, D), where F is the number of folds, and
+ D is the number of variables on which the input layers in each fold are defined on.
+ Alternatively, a tensor of shape (D,) can be specified, which will be interpreted
+ as a tensor of shape (1, D), i.e., with F = 1.
+ num_output_units (int): The number of output units.
+ num_channels (int): The number of channels. Defaults to 1.
+ degree (int): The degree of polynomial.
+ coeff (AbstractTorchParameter): The reparameterization for layer parameters.
+ """
+ num_variables = scope_idx.shape[-1]
+ if num_variables != 1:
+ raise ValueError("The Polynomial layer encodes a univariate distribution")
+ if num_channels != 1:
+ raise ValueError("The Polynomial layer encodes a univariate distribution")
+ super().__init__(
+ scope_idx,
+ num_output_units,
+ num_channels=num_channels,
+ semiring=semiring,
+ )
+ self.degree = degree
+ if not self._valid_parameters_shape(coeff):
+ raise ValueError("The number of folds and shape of 'coeff' must match the layer's")
+ self.coeff = coeff
+
+ def _valid_parameters_shape(self, p: TorchParameter) -> bool:
+ if p.num_folds != self.num_folds:
+ return False
+ return p.shape == (self.num_output_units, self.degree + 1)
+
+ @property
+ def fold_settings(self) -> Tuple[Any, ...]:
+ return self.num_variables, self.num_channels, self.num_output_units, self.degree + 1
+
+ @property
+ def config(self) -> Dict[str, Any]:
+ return {
+ "scope_idx": self.scope_idx,
+ "num_output_units": self.num_output_units,
+ "num_channels": self.num_channels,
+ "degree": self.degree,
+ }
+
+ @property
+ def params(self) -> Dict[str, TorchParameter]:
+ return {"coeff": self.coeff}
+
+ def forward(self, x: Tensor) -> Tensor:
+ """Run forward pass.
+
+ Args:
+ x (Tensor): The input to this layer, shape (F, H=C, B, Ki=D).
+
+ Returns:
+ Tensor: The output of this layer, shape (F, B, Ko).
+ """
+ coeff = self.coeff() # shape (F, Ko, dp1)
+ return self.semiring.map_from(polyval(coeff, x), SumProductSemiring)
+
+ def integrate(self) -> Tensor:
+ raise TypeError("Cannot integrate a polynomial layer")
diff --git a/cirkit/backend/torch/parameters/nodes.py b/cirkit/backend/torch/parameters/nodes.py
index 5f711fd0..374a0ceb 100644
--- a/cirkit/backend/torch/parameters/nodes.py
+++ b/cirkit/backend/torch/parameters/nodes.py
@@ -768,3 +768,67 @@ def forward(
sq_mahalanobis = torch.square(mean1.unsqueeze(dim=2) - mean2.unsqueeze(dim=1)) * inv_var12
log_partition = -0.5 * (self._log_two_pi + torch.log(var12) + sq_mahalanobis)
return log_partition.view(-1, *self.shape) # (F, K1 * K2, C)
+
+
+class TorchPolynomialProduct(TorchBinaryParameterOp):
+ # Use default __init__
+
+ @property
+ def shape(self) -> Tuple[int, ...]:
+ return (
+ self.in_shapes[0][0] * self.in_shapes[1][0], # dim K
+ self.in_shapes[0][1] + self.in_shapes[1][1] - 1, # dim dp1
+ )
+
+ def forward(self, coeff1: Tensor, coeff2: Tensor) -> Tensor:
+ # TODO: torch typing issue.
+ fft: Callable[..., Tensor] # type: ignore[misc]
+ ifft: Callable[..., Tensor] # type: ignore[misc]
+ if coeff1.is_complex() or coeff2.is_complex():
+ fft = torch.fft.fft
+ ifft = torch.fft.ifft
+ else:
+ fft = torch.fft.rfft
+ ifft = torch.fft.irfft
+
+ degp1 = coeff1.shape[-1] + coeff2.shape[-1] - 1 # deg1p1 + deg2p1 - 1 = (deg1 + deg2) + 1.
+
+ spec1 = fft(coeff1, n=degp1, dim=-1) # shape (F, K1, dp1).
+ spec2 = fft(coeff2, n=degp1, dim=-1) # shape (F, K2, dp1).
+
+ # shape (F, K1, 1, dp1), (F, 1, K2, dp1) -> (F, K1, K2, dp1) -> (F, K1*K2, dp1).
+ spec = torch.flatten(
+ spec1.unsqueeze(dim=2) * spec2.unsqueeze(dim=1), start_dim=1, end_dim=2
+ )
+
+ return ifft(spec, n=degp1, dim=-1) # shape (F, K1*K2, dp1).
+
+
+class TorchPolynomialDifferential(TorchUnaryParameterOp):
+ def __init__(self, in_shape: Tuple[int, ...], *, num_folds: int = 1, order: int = 1) -> None:
+ if order <= 0:
+ raise ValueError("The order of differentiation must be positive.")
+ super().__init__(in_shape, num_folds=num_folds)
+ self.order = order
+
+ @property
+ def shape(self) -> Tuple[int, ...]:
+ # if dp1>order, i.e., deg>=order, then diff, else const 0.
+ return (
+ self.in_shapes[0][0],
+ self.in_shapes[0][1] - self.order if self.in_shapes[0][1] > self.order else 1,
+ )
+
+ @classmethod
+ def _diff_once(cls, x: Tensor) -> Tensor:
+ degp1 = x.shape[-1] # x shape (F, K, dp1).
+ arange = torch.arange(1, degp1).to(x) # shape (deg,).
+ return x[..., 1:] * arange # a_n x^n -> n a_n x^(n-1), with a_0 disappeared.
+
+ def forward(self, coeff: Tensor) -> Tensor:
+ if coeff.shape[-1] <= self.order:
+ return torch.zeros_like(coeff[..., :1]) # shape (F, K, 1).
+
+ for _ in range(self.order):
+ coeff = self._diff_once(coeff)
+ return coeff # shape (F, K, dp1-ord).
diff --git a/cirkit/backend/torch/rules/layers.py b/cirkit/backend/torch/rules/layers.py
index ccbd00cb..e17c8877 100644
--- a/cirkit/backend/torch/rules/layers.py
+++ b/cirkit/backend/torch/rules/layers.py
@@ -15,6 +15,7 @@
TorchGaussianLayer,
TorchInputLayer,
TorchLogPartitionLayer,
+ TorchPolynomialLayer,
)
from cirkit.symbolic.layers import (
CategoricalLayer,
@@ -25,6 +26,7 @@
KroneckerLayer,
LogPartitionLayer,
MixingLayer,
+ PolynomialLayer,
)
if TYPE_CHECKING:
@@ -69,6 +71,20 @@ def compile_gaussian_layer(compiler: "TorchCompiler", sl: GaussianLayer) -> Torc
)
+def compile_polynomial_layer(
+ compiler: "TorchCompiler", sl: PolynomialLayer
+) -> TorchPolynomialLayer:
+ coeff = compiler.compile_parameter(sl.coeff)
+ return TorchPolynomialLayer(
+ torch.tensor(tuple(sl.scope)),
+ sl.num_output_units,
+ num_channels=sl.num_channels,
+ degree=sl.degree,
+ coeff=coeff,
+ semiring=compiler.semiring,
+ )
+
+
def compile_hadamard_layer(compiler: "TorchCompiler", sl: KroneckerLayer) -> TorchHadamardLayer:
return TorchHadamardLayer(
sl.num_input_units, sl.num_output_units, arity=sl.arity, semiring=compiler.semiring
@@ -121,6 +137,7 @@ def compile_evidence_layer(compiler: "TorchCompiler", sl: EvidenceLayer) -> Torc
DEFAULT_LAYER_COMPILATION_RULES: Dict[LayerCompilationSign, LayerCompilationFunc] = { # type: ignore[misc]
CategoricalLayer: compile_categorical_layer,
GaussianLayer: compile_gaussian_layer,
+ PolynomialLayer: compile_polynomial_layer,
HadamardLayer: compile_hadamard_layer,
KroneckerLayer: compile_kronecker_layer,
DenseLayer: compile_dense_layer,
diff --git a/cirkit/backend/torch/rules/parameters.py b/cirkit/backend/torch/rules/parameters.py
index 20993f95..259d6542 100644
--- a/cirkit/backend/torch/rules/parameters.py
+++ b/cirkit/backend/torch/rules/parameters.py
@@ -18,6 +18,8 @@
TorchOuterProductParameter,
TorchOuterSumParameter,
TorchPointerParameter,
+ TorchPolynomialDifferential,
+ TorchPolynomialProduct,
TorchReduceLSEParameter,
TorchReduceProductParameter,
TorchReduceSumParameter,
@@ -44,6 +46,8 @@
LogSoftmaxParameter,
OuterProductParameter,
OuterSumParameter,
+ PolynomialDifferential,
+ PolynomialProduct,
ReduceLSEParameter,
ReduceProductParameter,
ReduceSumParameter,
@@ -234,6 +238,18 @@ def compile_gaussian_product_log_partition(
return TorchGaussianProductLogPartition(*p.in_shapes)
+def compile_polynomial_product(
+ compiler: "TorchCompiler", p: PolynomialProduct
+) -> TorchPolynomialProduct:
+ return TorchPolynomialProduct(*p.in_shapes)
+
+
+def compile_polynomial_differential(
+ compiler: "TorchCompiler", p: PolynomialDifferential
+) -> TorchPolynomialDifferential:
+ return TorchPolynomialDifferential(*p.in_shapes, order=p.order)
+
+
DEFAULT_PARAMETER_COMPILATION_RULES: Dict[ParameterCompilationSign, ParameterCompilationFunc] = { # type: ignore[misc]
TensorParameter: compile_tensor_parameter,
ConstantParameter: compile_constant_parameter,
@@ -259,4 +275,6 @@ def compile_gaussian_product_log_partition(
GaussianProductMean: compile_gaussian_product_mean,
GaussianProductStddev: compile_gaussian_product_stddev,
GaussianProductLogPartition: compile_gaussian_product_log_partition,
+ PolynomialProduct: compile_polynomial_product,
+ PolynomialDifferential: compile_polynomial_differential,
}
diff --git a/cirkit/pipeline.py b/cirkit/pipeline.py
index 8ff190fa..e4c2ae5e 100644
--- a/cirkit/pipeline.py
+++ b/cirkit/pipeline.py
@@ -112,11 +112,13 @@ def multiply(self, lhs_cc: CompiledCircuit, rhs_cc: CompiledCircuit) -> Compiled
prod_sc = SF.multiply(lhs_sc, rhs_sc, registry=self._op_registry)
return self.compile(prod_sc)
- def differentiate(self, cc: CompiledCircuit) -> CompiledCircuit:
+ def differentiate(self, cc: CompiledCircuit, *, order: int = 1) -> CompiledCircuit:
if not self._compiler.has_symbolic(cc):
raise ValueError("The given compiled circuit is not known in this pipeline")
+ if order <= 0:
+ raise ValueError("The order of differentiation must be positive.")
sc = self._compiler.get_symbolic_circuit(cc)
- diff_sc = SF.differentiate(sc, registry=self._op_registry)
+ diff_sc = SF.differentiate(sc, registry=self._op_registry, order=order)
return self.compile(diff_sc)
def conjugate(self, cc: CompiledCircuit) -> CompiledCircuit:
@@ -157,10 +159,12 @@ def multiply(
return ctx.multiply(lhs_cc, rhs_cc)
-def differentiate(cc: CompiledCircuit, ctx: Optional[PipelineContext] = None) -> CompiledCircuit:
+def differentiate(
+ cc: CompiledCircuit, ctx: Optional[PipelineContext] = None, *, order: int = 1
+) -> CompiledCircuit:
if ctx is None:
ctx = _PIPELINE_CONTEXT.get()
- return ctx.differentiate(cc)
+ return ctx.differentiate(cc, order=order)
def conjugate(cc: CompiledCircuit, ctx: Optional[PipelineContext] = None) -> CompiledCircuit:
diff --git a/cirkit/symbolic/functional.py b/cirkit/symbolic/functional.py
index dd6b7af4..f9b394b4 100644
--- a/cirkit/symbolic/functional.py
+++ b/cirkit/symbolic/functional.py
@@ -1,6 +1,7 @@
+import heapq
import itertools
from numbers import Number
-from typing import Dict, List, Optional, Sequence, Tuple, Union
+from typing import Dict, Iterable, List, NamedTuple, Optional, Sequence, Tuple, TypeVar, Union
import numpy as np
@@ -378,16 +379,186 @@ def multiply(sc1: Circuit, sc2: Circuit, *, registry: Optional[OperatorRegistry]
)
-def differentiate(sc: Circuit, *, registry: Optional[OperatorRegistry] = None) -> Circuit:
+class _ScopeVarAndBlockAndInputs(NamedTuple):
+ """The tuple of a scope variable and a circiut block for diff.
+
+ Used for differential of ProductLayer.
+ """
+
+ scope_var: int # The id of a variable in the scope of THE ProductLayer.
+ diff_block: CircuitBlock # The partial diff of THE ProductLayer w.r.t. the var.
+ diff_in_blocks: List[CircuitBlock] # The inputs to the layer of diff_block.
+
+
+_T = TypeVar("_T") # TODO: for _repeat. move together
+
+
+# TODO: this can be made public and moved to utils, might be used elsewhere.
+def _repeat(iterable: Iterable[_T], /, *, times: int) -> Iterable[_T]:
+ """Repeat each element of the given iterable by given times.
+
+ The elements are generated lazily. The iterable passed in will be iterated once.
+ This function differs from itertools in that it repeats an interable instead of only one elem.
+
+ Args:
+ iterable (Iterable[_T]): The iterable to generate the original elements.
+ times (int): The times to repeat each element.
+
+ Returns:
+ Iterable[_T]: The iterable with repeated elements.
+ """
+ return itertools.chain.from_iterable(itertools.repeat(elem, times=times) for elem in iterable)
+
+
+def differentiate(
+ sc: Circuit, registry: Optional[OperatorRegistry] = None, *, order: int = 1
+) -> Circuit:
if not sc.is_smooth or not sc.is_decomposable:
raise StructuralPropertyError(
"Only smooth and decomposable circuits can be efficiently differentiated."
)
+ if order <= 0:
+ raise ValueError("The order of differentiation must be positive.")
# Use the registry in the current context, if not specified otherwise
if registry is None:
registry = OPERATOR_REGISTRY.get()
- raise NotImplementedError()
+
+ # Mapping the symbolic circuit layers with blocks of circuit layers
+ layers_to_blocks: Dict[Layer, List[CircuitBlock]] = {}
+
+ # For each new circuit block, keep track of its inputs
+ in_blocks: Dict[CircuitBlock, Sequence[CircuitBlock]] = {}
+
+ for sl in sc.topological_ordering():
+ # "diff_blocks: List[CircuitBlock]" is the diff of sl wrt each variable and channel in order
+ # and then at the end we append a copy of sl
+ sl_params = {name: p.ref() for name, p in sl.params.items()}
+
+ if isinstance(sl, InputLayer):
+ # TODO: no type hint for func, also cannot quick jump in static analysis
+ func = registry.retrieve_rule(LayerOperator.DIFFERENTIATION, type(sl))
+ diff_blocks = [
+ func(sl, var_idx=var_idx, ch_idx=ch_idx, order=order)
+ for var_idx, ch_idx in itertools.product(
+ range(len(sl.scope)), range(sc.num_channels)
+ )
+ ]
+
+ elif isinstance(sl, SumLayer):
+ # Zip to transpose the generator into an iterable of length (num_vars * num_chs),
+ # corresponding to each var to take diff.
+ # Each item is a tuple of length arity, which are inputs to that diff.
+ # TODO: typeshed issue?
+ # ANNOTATE: zip gives Any when using *iterables.
+ zip_blocks_in: Iterable[Tuple[CircuitBlock, ...]] = zip(
+ # This is a generator of length arity, corresponding to each input of sl.
+ # Each item is a list of length (num_vars * num_chs), corresponding to the diff wrt
+ # each variable of that input.
+ # NOTE: [-1] is omitted and will be added at the end.
+ *(layers_to_blocks[sl_in][:-1] for sl_in in sc.layer_inputs(sl))
+ )
+
+ # The layers are the same for all diffs of a SumLayer. We retrieve (num_vars * num_chs)
+ # from the length of one input blocks.
+ var_ch = len(layers_to_blocks[sc.layer_inputs(sl)[0]][:-1])
+ diff_blocks = [
+ CircuitBlock.from_layer(type(sl)(**sl.config, **sl_params)) for _ in range(var_ch)
+ ]
+
+ # Connect the layers to their inputs, by zipping a length of (num_vars * num_chs).
+ in_blocks.update(zip(diff_blocks, zip_blocks_in))
+
+ elif isinstance(sl, ProductLayer):
+ # NOTE: Only the outmost level can be a generator, and inner levels must be lists,
+ # otherwise reference to locals will be broken.
+
+ # This is a generator of length arity, corresponding to each input of sl.
+ # Each item is a list of length (num_vars * num_chs) of that input, corresponding to the
+ # diff wrt each var and ch of that input.
+ all_scope_var_diff_block = (
+ # Each list is all the diffs of sl wrt each var and each channel in the scope of
+ # the cur_layer in the input of sl.
+ [
+ # Each named-tuple is a diff of sl and its inputs, where the diff is wrt the
+ # current variable and channel as in the double loop.
+ _ScopeVarAndBlockAndInputs(
+ # Label the named-tuple as the var id in the whole scope, for sorting.
+ scope_var=scope_var,
+ # The layers are the same for all diffs of a ProductLayer.
+ diff_block=CircuitBlock.from_layer(type(sl)(**sl.config, **sl_params)),
+ # The inputs to the diff is the copy of input to sl (retrieved by [-1]),
+ # only with cur_layer replaced by its diff.
+ diff_in_blocks=[
+ diff_cur_layer if sl_in == cur_layer else layers_to_blocks[sl_in][-1]
+ for sl_in in sc.layer_inputs(sl)
+ ],
+ )
+ # Loop over the (num_vars * num_chs) diffs of cur_layer, while also providing
+ # the corresponding scope_var which the current diff is wrt.
+ # We need the scope_var to label and sort the diff layers of sl. We do nnt need
+ # channel ids because they are always saved densely in order.
+ for scope_var, diff_cur_layer in zip(
+ _repeat(sc.layer_scope(cur_layer), times=sc.num_channels),
+ layers_to_blocks[cur_layer][:-1],
+ )
+ ]
+ # Loop over each input of sl for the diffs wrt vars and chs in its scope.
+ for cur_layer in sc.layer_inputs(sl)
+ )
+
+ # NOTE: This relys on the fact that Scope object is iterated in id order.
+ # Merge sort the named-tuples by the var id in the scope, so that the diffs are
+ # correctly ordered according to the scope of sl.
+ sorted_scope_var_diff_block = list(
+ heapq.merge(
+ # Unpack the generator into several lists, where each list is the named-tuples
+ # wrt the scope of each input to sl.
+ *all_scope_var_diff_block,
+ key=lambda scope_var_diff_block: scope_var_diff_block.scope_var,
+ )
+ )
+
+ # Take out the diffs of sl and save them in diff_blocks in correct order.
+ diff_blocks = [
+ scope_var_diff_block.diff_block
+ for scope_var_diff_block in sorted_scope_var_diff_block
+ ]
+
+ # Connect the diffs with its corresponding inputs as saved in the named-tuples.
+ in_blocks.update(
+ (scope_var_diff_block.diff_block, scope_var_diff_block.diff_in_blocks)
+ for scope_var_diff_block in sorted_scope_var_diff_block
+ )
+
+ else:
+ # NOTE: In the above if/elif, we made all conditions explicit to make it more readable
+ # and also easier for static analysis inside the blocks. Yet the completeness
+ # cannot be inferred and is only guaranteed by larger picture. Also, should
+ # anything really go wrong, we will hit this guard statement instead of going into
+ # a wrong branch.
+ assert False, "This should not happen."
+
+ # Save a copy of sl in the diff circuit and connect inputs. This can be accessed through
+ # diff_blocks[-1], as in the [-1] above for ProductLayer.
+ diff_blocks.append(CircuitBlock.from_layer(type(sl)(**sl.config, **sl_params)))
+ in_blocks[diff_blocks[-1]] = [layers_to_blocks[sl_in][-1] for sl_in in sc.layer_inputs(sl)]
+
+ # Save all the blocks including a copy of sl at [-1] as the diff layers of sl.
+ layers_to_blocks[sl] = diff_blocks
+
+ # Construct the integral symbolic circuit and set the integration operation metadata
+ return Circuit.from_operation(
+ sc.num_channels,
+ sum(layers_to_blocks.values(), []),
+ in_blocks, # TODO: in_blocks uses Sequence, and Sequence should work.
+ sum((layers_to_blocks[sl] for sl in sc.outputs), []),
+ operation=CircuitOperation(
+ operator=CircuitOperator.DIFFERENTIATION,
+ operands=(sc,),
+ metadata=dict(order=order),
+ ),
+ )
def conjugate(
diff --git a/cirkit/symbolic/layers.py b/cirkit/symbolic/layers.py
index 876c8543..526518f8 100644
--- a/cirkit/symbolic/layers.py
+++ b/cirkit/symbolic/layers.py
@@ -377,6 +377,47 @@ def params(self) -> Dict[str, Parameter]:
return params
+class PolynomialLayer(InputLayer):
+ def __init__(
+ self,
+ scope: Scope,
+ num_output_units: int,
+ num_channels: int,
+ *,
+ degree: int,
+ coeff: Optional[Parameter] = None,
+ coeff_factory: Optional[ParameterFactory] = None,
+ ):
+ if len(scope) != 1:
+ raise ValueError("The Polynomial layer encodes a univariate distribution")
+ if num_channels != 1:
+ raise ValueError("The Polynomial layer encodes a univariate distribution")
+ super().__init__(scope, num_output_units, num_channels)
+ self.degree = degree
+ if coeff is None:
+ if coeff_factory is None:
+ coeff = Parameter.from_leaf(
+ TensorParameter(*self._coeff_shape, initializer=NormalInitializer())
+ )
+ else:
+ coeff = coeff_factory(self._coeff_shape)
+ if coeff.shape != self._coeff_shape:
+ raise ValueError(f"Expected parameter shape {self._coeff_shape}, found {coeff.shape}")
+ self.coeff = coeff
+
+ @property
+ def _coeff_shape(self) -> Tuple[int, ...]:
+ return self.num_output_units, self.degree + 1
+
+ @property
+ def config(self) -> dict:
+ return {**super().config, "degree": self.degree}
+
+ @property
+ def params(self) -> Dict[str, Parameter]:
+ return {"coeff": self.coeff}
+
+
class LogPartitionLayer(ConstantLayer):
"""A symbolic layer computing a log-partition function."""
diff --git a/cirkit/symbolic/operators.py b/cirkit/symbolic/operators.py
index 826fdd80..a0fa5143 100644
--- a/cirkit/symbolic/operators.py
+++ b/cirkit/symbolic/operators.py
@@ -12,6 +12,7 @@
LayerOperator,
LogPartitionLayer,
MixingLayer,
+ PolynomialLayer,
)
from cirkit.symbolic.parameters import (
ConjugateParameter,
@@ -23,6 +24,8 @@
LogParameter,
OuterSumParameter,
Parameter,
+ PolynomialDifferential,
+ PolynomialProduct,
ReduceLSEParameter,
ReduceSumParameter,
SumParameter,
@@ -173,6 +176,51 @@ def multiply_gaussian_layers(sl1: GaussianLayer, sl2: GaussianLayer) -> CircuitB
return CircuitBlock.from_layer(sl)
+def multiply_polynomial_layers(sl1: PolynomialLayer, sl2: PolynomialLayer) -> CircuitBlock:
+ if sl1.scope != sl2.scope:
+ raise ValueError(
+ f"Expected Polynomial layers to have the same scope,"
+ f" but found '{sl1.scope}' and '{sl2.scope}'"
+ )
+ if sl1.num_channels != sl2.num_channels:
+ raise ValueError(
+ f"Expected Polynomial layers to have the number of channels,"
+ f"but found '{sl1.num_channels}' and '{sl2.num_channels}'"
+ )
+
+ shape1, shape2 = sl1.coeff.shape, sl2.coeff.shape
+ coeff = Parameter.from_binary(
+ PolynomialProduct(shape1, shape2),
+ sl1.coeff.ref(),
+ sl2.coeff.ref(),
+ )
+
+ sl = PolynomialLayer(
+ sl1.scope,
+ sl1.num_output_units * sl2.num_output_units,
+ num_channels=sl1.num_channels,
+ degree=sl1.degree + sl2.degree,
+ coeff=coeff,
+ )
+ return CircuitBlock.from_layer(sl)
+
+
+def differentiate_polynomial_layer(
+ sl: PolynomialLayer, *, var_idx: int, ch_idx: int, order: int = 1
+) -> CircuitBlock:
+ # PolynomialLayer is constructed univariate, but we still take the 2 idx for unified interface
+ assert (var_idx, ch_idx) == (0, 0), "This should not happen"
+ if order <= 0:
+ raise ValueError("The order of differentiation must be positive.")
+ coeff = Parameter.from_unary(
+ PolynomialDifferential(sl.coeff.shape, order=order), sl.coeff.ref()
+ )
+ sl = PolynomialLayer(
+ sl.scope, sl.num_output_units, sl.num_channels, degree=coeff.shape[-1] - 1, coeff=coeff
+ )
+ return CircuitBlock.from_layer(sl)
+
+
def conjugate_categorical_layer(sl: CategoricalLayer) -> CircuitBlock:
logits = sl.logits.ref() if sl.logits is not None else None
probs = sl.probs.ref() if sl.probs is not None else None
@@ -194,6 +242,14 @@ def conjugate_gaussian_layer(sl: GaussianLayer) -> CircuitBlock:
return CircuitBlock.from_layer(sl)
+def conjugate_polynomial_layer(sl: PolynomialLayer) -> CircuitBlock:
+ coeff = Parameter.from_unary(ConjugateParameter(sl.coeff.shape), sl.coeff.ref())
+ sl = PolynomialLayer(
+ sl.scope, sl.num_output_units, sl.num_channels, degree=sl.degree, coeff=coeff
+ )
+ return CircuitBlock.from_layer(sl)
+
+
def multiply_hadamard_layers(sl1: HadamardLayer, sl2: HadamardLayer) -> CircuitBlock:
sl = HadamardLayer(
sl1.num_input_units * sl2.num_input_units,
@@ -245,11 +301,12 @@ def __call__(self, *sl: Layer, **kwargs) -> CircuitBlock:
DEFAULT_OPERATOR_RULES: Dict[LayerOperator, List[LayerOperatorFunc]] = {
LayerOperator.INTEGRATION: [integrate_categorical_layer, integrate_gaussian_layer],
- LayerOperator.DIFFERENTIATION: [],
+ LayerOperator.DIFFERENTIATION: [differentiate_polynomial_layer],
LayerOperator.MULTIPLICATION: [
multiply_evidence_layers,
multiply_categorical_layers,
multiply_gaussian_layers,
+ multiply_polynomial_layers,
multiply_hadamard_layers,
multiply_dense_layers,
multiply_mixing_layers,
@@ -257,6 +314,7 @@ def __call__(self, *sl: Layer, **kwargs) -> CircuitBlock:
LayerOperator.CONJUGATION: [
conjugate_categorical_layer,
conjugate_gaussian_layer,
+ conjugate_polynomial_layer,
conjugate_dense_layer,
conjugate_mixing_layer,
],
diff --git a/cirkit/symbolic/parameters.py b/cirkit/symbolic/parameters.py
index 91d55445..7a8022af 100644
--- a/cirkit/symbolic/parameters.py
+++ b/cirkit/symbolic/parameters.py
@@ -550,3 +550,30 @@ def shape(self) -> Tuple[int, ...]:
self.in_shapes[0][0] * self.in_shapes[1][0],
self.in_shapes[0][1],
)
+
+
+class PolynomialProduct(BinaryParameterOp):
+ # Use default __init__
+
+ @property
+ def shape(self) -> Tuple[int, ...]:
+ return (
+ self.in_shapes[0][0] * self.in_shapes[1][0], # dim Ko
+ self.in_shapes[0][1] + self.in_shapes[1][1] - 1, # dim deg+1
+ )
+
+
+class PolynomialDifferential(UnaryParameterOp):
+ def __init__(self, in_shape: Tuple[int, ...], *, order: int = 1):
+ if order <= 0:
+ raise ValueError("The order of differentiation must be positive.")
+ super().__init__(in_shape)
+ self.order = order
+
+ @property
+ def shape(self) -> Tuple[int, ...]:
+ # if dp1>order, i.e., deg>=order, then diff, else const 0.
+ return (
+ self.in_shapes[0][0],
+ self.in_shapes[0][1] - self.order if self.in_shapes[0][1] > self.order else 1,
+ )
diff --git a/notebooks/complex-squared-npcs.ipynb b/notebooks/complex-squared-npcs.ipynb
deleted file mode 100644
index dec15b4e..00000000
--- a/notebooks/complex-squared-npcs.ipynb
+++ /dev/null
@@ -1,720 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "97f3b03e-0aa7-4fa9-ad37-21a141f4a1a1",
- "metadata": {},
- "source": [
- "# Train and evaluate a squared PC ($\\mathrm{NPC}^2$) with complex parameters"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "id": "498b64a5-86bf-45c7-b65c-6c010a9b4a82",
- "metadata": {},
- "outputs": [],
- "source": [
- "import random\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "48e26e8e-8c76-43ce-90db-87da5d8eb39a",
- "metadata": {},
- "source": [
- "Set the random seeds."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "id": "63dd05c5-f4ea-459a-b2fb-75d976f50afe",
- "metadata": {},
- "outputs": [],
- "source": [
- "random.seed(42)\n",
- "np.random.seed(42)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "9d389743-936c-49a8-9ef8-f5c55be758a5",
- "metadata": {},
- "source": [
- "# Load the MiniBooNE UCI data set"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "61b76039-c260-4b43-88e2-e3e8875206bf",
- "metadata": {},
- "outputs": [],
- "source": [
- "from datasets import load_uci_dataset"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "b153dc84-3e0b-463a-99b0-2b7e09a388af",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Number of variables: 43\n"
- ]
- }
- ],
- "source": [
- "data = load_uci_dataset('miniboone', path='datasets')\n",
- "data_train, data_test = data['train'], data['test']\n",
- "num_variables = data_train.shape[1]\n",
- "print(f'Number of variables: {num_variables}')"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "611257b5-8c18-4f1d-8316-3c898f2e6035",
- "metadata": {},
- "source": [
- "# Instantiating a Circuit structure Template: the Region Graph"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "d1ef46af-2e7d-46cf-ad72-52db50d5f939",
- "metadata": {},
- "source": [
- "Instantiate a bunch of _random binary tree_ region graphs of maximum depth, with different seed."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "a4559103-4e61-4b6c-ac72-ff54c72e0736",
- "metadata": {},
- "outputs": [],
- "source": [
- "from cirkit.templates.region_graph import RandomBinaryTree\n",
- "max_depth = int(np.ceil(np.log2(num_variables)))\n",
- "region_graph = RandomBinaryTree(num_variables, depth=max_depth, seed=42)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "96c77dea-c04a-4349-80e3-d78c508339c9",
- "metadata": {},
- "source": [
- "## Constructing the Symbolic Circuit Representation"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "90db495e-1065-43fa-97f4-b3b1ad1f0b32",
- "metadata": {},
- "source": [
- "We construct a non-monotonic PC with Gaussian distributions as input."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "id": "84505053-eab3-491f-b143-89eda6f86224",
- "metadata": {},
- "outputs": [],
- "source": [
- "from cirkit.utils.scope import Scope\n",
- "from cirkit.symbolic.layers import GaussianLayer, DenseLayer, HadamardLayer\n",
- "from cirkit.symbolic.parameters import Parameter, TensorParameter, ScaledSigmoidParameter\n",
- "from cirkit.symbolic.initializers import UniformInitializer, NormalInitializer\n",
- "from cirkit.symbolic.dtypes import DataType"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "id": "1a27d1ce-3fc7-4ea0-8e4c-2b1f2cd5b351",
- "metadata": {},
- "outputs": [],
- "source": [
- "def gaussian_layer_factory(\n",
- " scope: Scope,\n",
- " num_units: int,\n",
- " num_channels: int\n",
- ") -> GaussianLayer:\n",
- " return GaussianLayer(\n",
- " scope, num_units, num_channels,\n",
- " stddev_factory=lambda shape: Parameter.from_sequence(\n",
- " TensorParameter(*shape, initializer=NormalInitializer(0.0, 1e-1)),\n",
- " ScaledSigmoidParameter(shape, vmin=1e-5, vmax=1.0)\n",
- " )\n",
- " )\n",
- "\n",
- "def hadamard_layer_factory(\n",
- " scope: Scope, num_input_units: int, arity: int\n",
- ") -> HadamardLayer:\n",
- " return HadamardLayer(scope, num_input_units, arity)\n",
- "\n",
- "def dense_layer_factory(\n",
- " scope: Scope,\n",
- " num_input_units: int,\n",
- " num_output_units: int\n",
- ") -> DenseLayer:\n",
- " return DenseLayer(\n",
- " scope, num_input_units, num_output_units,\n",
- " weight_factory=lambda shape: Parameter.from_leaf(\n",
- " TensorParameter(*shape, initializer=UniformInitializer(0.0, 1.0), dtype=DataType.COMPLEX),\n",
- " )\n",
- " )"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "id": "8f5c34a5-f6c1-4735-ba88-76ab00ef35d4",
- "metadata": {},
- "outputs": [],
- "source": [
- "from cirkit.symbolic.circuit import Circuit"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "id": "8ecd1c60-402f-4e65-b79a-8ddbd69dd700",
- "metadata": {},
- "outputs": [],
- "source": [
- "symbolic_circuit = Circuit.from_region_graph(\n",
- " region_graph,\n",
- " num_input_units=64,\n",
- " num_sum_units=64,\n",
- " input_factory=gaussian_layer_factory,\n",
- " sum_factory=dense_layer_factory,\n",
- " prod_factory=hadamard_layer_factory\n",
- ")"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "57ad50a2-b91b-4934-bf36-061442375583",
- "metadata": {},
- "source": [
- "We can retrieve some information about the circuit and its structural properties as follows."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "id": "de247e7e-d5bf-44e8-adc8-f070a86ad236",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Smooth: True\n",
- "Decomposable: True\n",
- "Structured decomposable: True\n",
- "Number of variables: 43\n",
- "Number of channels per variable: 1\n"
- ]
- }
- ],
- "source": [
- "print(f'Smooth: {symbolic_circuit.is_smooth}')\n",
- "print(f'Decomposable: {symbolic_circuit.is_decomposable}')\n",
- "print(f'Structured decomposable: {symbolic_circuit.is_structured_decomposable}')\n",
- "print(f'Number of variables: {symbolic_circuit.num_variables}')\n",
- "print(f'Number of channels per variable: {symbolic_circuit.num_channels}')"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "e0eff399-2f7c-4836-9b65-78622f4be7d6",
- "metadata": {},
- "source": [
- "## Computing the Circuit Square"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "0a841699-70ec-44f3-b90b-24d92722eabd",
- "metadata": {},
- "source": [
- "We now square the symbolic circuit representation and compile it. However, to actually train it, we will only need to compute the integral of the squared circuit.\n",
- "\n",
- "To do so, we need to set up a pipeline context first and specify a backend. Since the circuit is non-monotonic, we will use the complex log-sum-exp and sum semiring. Note that in the following we also compile the integral of the squared circuit, i.e., the partition functions."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "id": "1a01f3c5-21d1-4677-af7d-bd6bc5d8f45b",
- "metadata": {},
- "outputs": [],
- "source": [
- "from cirkit.pipeline import PipelineContext\n",
- "from cirkit.pipeline import compile\n",
- "import cirkit.symbolic.functional as SF"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 12,
- "id": "a89681ce-efcf-4dae-acf3-9448502f21fe",
- "metadata": {},
- "outputs": [],
- "source": [
- "import torch\n",
- "device = torch.device('cuda') # The device to use\n",
- "torch.manual_seed(42)\n",
- "# Using float32 ...\n",
- "#torch.set_default_dtype(torch.float64)\n",
- "torch.cuda.manual_seed(42)\n",
- "# Extend the default cache limit. In the future, torch will support compilation with 'more dynamic shapes',\n",
- "# and therefore many recompilations will be avoided\n",
- "torch._dynamo.config.cache_size_limit = 16"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 13,
- "id": "78bd1d2b-018f-47fa-a2df-e3ddfc816ed8",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "CPU times: user 405 ms, sys: 57.5 ms, total: 462 ms\n",
- "Wall time: 435 ms\n"
- ]
- }
- ],
- "source": [
- "%%time\n",
- "ctx = PipelineContext(\n",
- " backend='torch', # Choose the torch compilation backend\n",
- " fold=True, # Fold the circuit, this is a backend-specific compilation flag\n",
- " semiring='complex-lse-sum', # Use the (C, +, *) semiring, where + is the complex log-sum-exp and * is the sum\n",
- " optimize=True # Optimize the circuit layers (set this flag to False to disable, which yields slower inference)\n",
- ")\n",
- "\n",
- "with ctx:\n",
- " symbolic_sq_circuit = SF.multiply(SF.conjugate(symbolic_circuit), symbolic_circuit)\n",
- " symbolic_int_sq_circuit = SF.integrate(symbolic_sq_circuit)\n",
- " int_sq_circuit = compile(symbolic_int_sq_circuit)\n",
- " # Note that compiling the integral squared circuit will also compile the symbolic circuit\n",
- " # we started from. We retrieve its compiled module as showed below.\n",
- " circuit = ctx.get_compiled_circuit(symbolic_circuit)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "acead97f-2783-45ba-b2b1-0ef164fd2481",
- "metadata": {},
- "source": [
- "Let's print the circuit and the integral squared circuit torch modules."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 14,
- "id": "8bf4de33-c03f-4a69-9103-6a6b4a5ffec4",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "TorchCircuit(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchGaussianLayer(\n",
- " (mean): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " (stddev): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchTensorParameter()\n",
- " (1): TorchScaledSigmoidParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (1): TorchDenseLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (2-7): 6 x TorchCPLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- ")\n"
- ]
- }
- ],
- "source": [
- "print(circuit)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 15,
- "id": "bfc5922e-c1d8-41b7-856a-759ee9aa253b",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "TorchConstantCircuit(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchLogPartitionLayer(\n",
- " (value): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0-1): 2 x TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " (2): TorchScaledSigmoidParameter()\n",
- " (3): TorchGaussianProductLogPartition()\n",
- " (4-5): 2 x TorchReduceSumParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (1): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " (1): TorchConjugateParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (2): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- " (3): TorchHadamardLayer()\n",
- " (4): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " (1): TorchConjugateParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (5): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- " (6): TorchHadamardLayer()\n",
- " (7): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " (1): TorchConjugateParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (8): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- " (9): TorchHadamardLayer()\n",
- " (10): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " (1): TorchConjugateParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (11): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- " (12): TorchHadamardLayer()\n",
- " (13): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " (1): TorchConjugateParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (14): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- " (15): TorchHadamardLayer()\n",
- " (16): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " (1): TorchConjugateParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (17): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- " (18): TorchHadamardLayer()\n",
- " (19): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " (1): TorchConjugateParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (20): TorchTensorDotLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchPointerParameter(\n",
- " (_parameter): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- ")\n"
- ]
- }
- ],
- "source": [
- "print(int_sq_circuit)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "25f6510a-0631-4770-9002-9431f126bb9d",
- "metadata": {},
- "source": [
- "## Training and Testing"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "7c3c644c-ac45-4156-b1f5-391585ea34c7",
- "metadata": {},
- "source": [
- "We are not ready to learn the parameters and do inference.\n",
- "First, we wrap our data into PyTorch data loaders by specifying the batch size.\n",
- "Then, we initialize any PyTorch optimizer, e.g., Adam.\n",
- "\n",
- "Note that the parameters of the integral squared circuit are the same parameters of the circuit itself."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 16,
- "id": "5a0f61c6-7564-4c3b-8612-e02a52160d12",
- "metadata": {},
- "outputs": [],
- "source": [
- "from torch import optim\n",
- "from torch.utils.data import DataLoader"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 17,
- "id": "ea7b248b-802e-4f22-9849-2b5fe304b019",
- "metadata": {},
- "outputs": [],
- "source": [
- "train_dataloader = DataLoader(data_train, shuffle=True, batch_size=256, drop_last=True, num_workers=4)\n",
- "test_dataloader = DataLoader(data_test, shuffle=False, batch_size=256, num_workers=4)\n",
- "optimizer = optim.Adam(circuit.parameters(), lr=5e-3)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 18,
- "id": "ee8840b0-617c-4881-8753-313b1491f13b",
- "metadata": {},
- "outputs": [],
- "source": [
- "# Move circuits to device\n",
- "circuit = circuit.to(device)\n",
- "int_sq_circuit = int_sq_circuit.to(device)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 19,
- "id": "13f65113-023f-4e9f-922a-e7202de5bb43",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Epoch 4, step 500: Average NLL: 53.305\n",
- "Epoch 8, step 1000: Average NLL: 42.474\n",
- "Epoch 13, step 1500: Average NLL: 37.257\n",
- "Epoch 17, step 2000: Average NLL: 34.311\n",
- "Epoch 21, step 2500: Average NLL: 32.699\n",
- "Epoch 26, step 3000: Average NLL: 31.816\n",
- "Epoch 30, step 3500: Average NLL: 31.037\n",
- "Epoch 35, step 4000: Average NLL: 30.417\n",
- "Epoch 39, step 4500: Average NLL: 30.037\n",
- "Epoch 43, step 5000: Average NLL: 29.646\n",
- "Epoch 48, step 5500: Average NLL: 29.495\n",
- "Epoch 52, step 6000: Average NLL: 29.365\n",
- "Epoch 57, step 6500: Average NLL: 29.134\n",
- "Epoch 61, step 7000: Average NLL: 28.810\n",
- "Epoch 65, step 7500: Average NLL: 28.816\n",
- "Epoch 70, step 8000: Average NLL: 28.661\n",
- "Epoch 74, step 8500: Average NLL: 28.602\n",
- "Epoch 78, step 9000: Average NLL: 28.500\n",
- "Epoch 83, step 9500: Average NLL: 28.431\n",
- "Epoch 87, step 10000: Average NLL: 28.391\n",
- "Epoch 92, step 10500: Average NLL: 28.282\n",
- "Epoch 96, step 11000: Average NLL: 28.244\n"
- ]
- }
- ],
- "source": [
- "num_epochs = 100\n",
- "step_idx = 0\n",
- "running_loss = 0.0\n",
- "for epoch_idx in range(num_epochs):\n",
- " for i, batch in enumerate(train_dataloader):\n",
- " batch = batch.to(device).unsqueeze(dim=1) # Add a channel dimension\n",
- " log_output = circuit(batch) # Compute the log output of the circuit\n",
- " log_output = 2.0 * log_output.real # Multipliying by two squares the output\n",
- " log_pf = int_sq_circuit().real # Compute the log partition function of the circuit\n",
- " lls = log_output - log_pf # Compute the log-likelihood\n",
- " loss = -torch.mean(lls) # The loss is the negative average log-likelihood\n",
- " loss.backward()\n",
- " optimizer.step()\n",
- " optimizer.zero_grad()\n",
- " running_loss += loss.detach() * len(batch)\n",
- " step_idx += 1\n",
- " if step_idx % 500 == 0:\n",
- " print(f\"Epoch {epoch_idx}, step {step_idx}: Average NLL: {running_loss / (500 * len(batch)):.3f}\")\n",
- " running_loss = 0.0"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 20,
- "id": "b712e5df-4ad2-4ae1-a7e3-f0c1df7db254",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Average test LL: -29.133\n"
- ]
- }
- ],
- "source": [
- "circuit.eval()\n",
- "int_sq_circuit.eval()\n",
- "\n",
- "with torch.no_grad():\n",
- " test_lls = 0.0\n",
- " log_pf = int_sq_circuit().real # Compute the log partition function of the circuit (just once as we are evaluating)\n",
- " for batch in test_dataloader:\n",
- " batch = batch.to(device).unsqueeze(dim=1) # Add a channel dimension\n",
- " log_output = circuit(batch) # Compute the log output of the circuit\n",
- " log_output = 2.0 * log_output.real # Multipliying by two squares the output\n",
- " lls = log_output - log_pf # Compute the log-likelihood\n",
- " test_lls += lls.sum().item()\n",
- " average_ll = test_lls / len(data_test)\n",
- " print(f\"Average test LL: {average_ll:.3f}\")"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "5db6015a-b911-4f36-a471-c8ace9b9abdf",
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 3 (ipykernel)",
- "language": "python",
- "name": "python3"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.10.12"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
diff --git a/notebooks/moons.ipynb b/notebooks/moons.ipynb
deleted file mode 100644
index 8ff051be..00000000
--- a/notebooks/moons.ipynb
+++ /dev/null
@@ -1,798 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Train and Visualize a PC on the Moons Dataset"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {},
- "outputs": [],
- "source": [
- "import random\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Set the random seeds."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {},
- "outputs": [],
- "source": [
- "random.seed(42)\n",
- "np.random.seed(42)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Generate the Dataset"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {},
- "outputs": [],
- "source": [
- "from sklearn.datasets import make_moons\n",
- "from sklearn.model_selection import train_test_split\n",
- "\n",
- "data = make_moons(n_samples=3000, noise=0.1, random_state=0)\n",
- "\n",
- "X, y = data\n",
- "X_train, X_test, y_train, y_test = train_test_split(\n",
- " X, y, test_size=0.2, random_state=42\n",
- ")"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Instantiate the PC"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {},
- "outputs": [],
- "source": [
- "import cirkit.templates.region_graph as rg\n",
- "\n",
- "region_graph = rg.algorithms.FullyFactorized(num_vars=2)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\n"
- ]
- }
- ],
- "source": [
- "assert region_graph.is_smooth and region_graph.is_decomposable and region_graph.is_structured_decomposable and region_graph.is_omni_compatible\n",
- "print(region_graph)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {},
- "outputs": [],
- "source": [
- "from cirkit.utils.scope import Scope\n",
- "from cirkit.symbolic.parameters import SoftmaxParameter, TensorParameter, Parameter\n",
- "from cirkit.symbolic.layers import GaussianLayer, DenseLayer, HadamardLayer\n",
- "from cirkit.symbolic.initializers import NormalInitializer"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {},
- "outputs": [],
- "source": [
- "def gaussian_layer_factory(\n",
- " scope: Scope,\n",
- " num_units: int,\n",
- " num_channels: int\n",
- ") -> GaussianLayer:\n",
- " return GaussianLayer(scope, num_units, num_channels)\n",
- "\n",
- "def hadamard_layer_factory(\n",
- " scope: Scope, num_input_units: int, arity: int\n",
- ") -> HadamardLayer:\n",
- " return HadamardLayer(scope, num_input_units, arity)\n",
- "\n",
- "def dense_layer_factory(\n",
- " scope: Scope,\n",
- " num_input_units: int,\n",
- " num_output_units: int\n",
- ") -> DenseLayer:\n",
- " return DenseLayer(\n",
- " scope, num_input_units, num_output_units,\n",
- " weight_factory=lambda shape: Parameter.from_unary(\n",
- " SoftmaxParameter(shape),\n",
- " TensorParameter(*shape, initializer=NormalInitializer(0.0, 1e-2))\n",
- " )\n",
- " )"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {},
- "outputs": [],
- "source": [
- "from cirkit.symbolic.circuit import Circuit"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "metadata": {},
- "outputs": [],
- "source": [
- "symbolic_circuit = Circuit.from_region_graph(\n",
- " region_graph,\n",
- " num_input_units=32,\n",
- " num_sum_units=32,\n",
- " input_factory=gaussian_layer_factory,\n",
- " sum_factory=dense_layer_factory,\n",
- " prod_factory=hadamard_layer_factory\n",
- ")"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "metadata": {},
- "outputs": [],
- "source": [
- "import torch\n",
- "device = torch.device('cuda') # The device to use\n",
- "torch.manual_seed(42)\n",
- "if 'cuda' in device.type:\n",
- " torch.cuda.manual_seed(42)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "metadata": {},
- "outputs": [],
- "source": [
- "from cirkit.pipeline import PipelineContext"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 12,
- "metadata": {},
- "outputs": [],
- "source": [
- "ctx = PipelineContext(\n",
- " backend='torch', # Choose the torch compilation backend\n",
- " fold=True, # Fold the circuit, this is a backend-specific compilation flag\n",
- " semiring='lse-sum' # Use the (R, +, *) semiring, where + is the log-sum-exp and * is the sum\n",
- ")\n",
- "circuit = ctx.compile(symbolic_circuit).to(device)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 13,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "TorchCircuit(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchGaussianLayer(\n",
- " (mean): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchTensorParameter()\n",
- " )\n",
- " )\n",
- " (stddev): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchTensorParameter()\n",
- " (1): TorchScaledSigmoidParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (1): TorchDenseLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchTensorParameter()\n",
- " (1): TorchSoftmaxParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " (2): TorchHadamardLayer()\n",
- " (3): TorchDenseLayer(\n",
- " (weight): TorchParameter(\n",
- " (_nodes): ModuleList(\n",
- " (0): TorchTensorParameter()\n",
- " (1): TorchSoftmaxParameter()\n",
- " )\n",
- " )\n",
- " )\n",
- " )\n",
- ")\n"
- ]
- }
- ],
- "source": [
- "print(circuit)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "prepare the dataset for pytorch"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 14,
- "metadata": {},
- "outputs": [],
- "source": [
- "from torch import optim\n",
- "from torch.utils.data import DataLoader\n",
- "train_dataloader = DataLoader(X_train, shuffle=True, batch_size=64)\n",
- "test_dataloader = DataLoader(X_test, shuffle=False, batch_size=256)\n",
- "optimizer = optim.Adam(circuit.parameters(), lr=0.05)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "setting up the data for the plots"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 15,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(160000, 2)"
- ]
- },
- "execution_count": 15,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "x1_bounds = (-1.5,2.5)\n",
- "x2_bounds = (-1,1.5)\n",
- "num_samples = 400\n",
- "x2 = np.linspace(0, 1, num_samples)*(x2_bounds[1] - x2_bounds[0]) + x2_bounds[0]\n",
- "x1 = np.linspace(0, 1, num_samples)*(x1_bounds[1] - x1_bounds[0]) + x1_bounds[0]\n",
- "x1v, x2v = np.meshgrid(x1, x2)\n",
- "X_meshgrid_np = np.stack((x1v,x2v), axis=-1).reshape(-1,2)\n",
- "X_meshgrid = torch.from_numpy(X_meshgrid_np).float()\n",
- "X_meshgrid_np.shape"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 16,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(tensor([-1.5000, -1.0000]), tensor([2.5000, 1.5000]))"
- ]
- },
- "execution_count": 16,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "X_meshgrid.min(0).values, X_meshgrid.max(0).values"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 17,
- "metadata": {},
- "outputs": [],
- "source": [
- "from matplotlib.pyplot import xlim, ylim\n",
- "\n",
- "def print_density(title=None, scatter=False):\n",
- " log_probs = circuit(X_meshgrid.to(device).float().unsqueeze(dim=1))\n",
- " log_probs = log_probs.reshape(num_samples, num_samples)\n",
- " plt.imshow(log_probs.cpu().detach().numpy(), extent=(*x1_bounds, *x2_bounds), origin=\"lower\")\n",
- " if title is not None:\n",
- " plt.title(title)\n",
- " if scatter:\n",
- " plt.scatter(X_train[:, 0], X_train[:, 1], alpha=0.5)\n",
- " plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 18,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
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