implemented data clustering

src/pygenstability/__init__.py

@@ -7,3 +7,4 @@
 from pygenstability.plotting import *
 from pygenstability.pygenstability import evaluate_NVI
 from pygenstability.pygenstability import run
+from pygenstability.data_clustering import DataClustering

src/pygenstability/data_clustering.py

@@ -0,0 +1,242 @@
+"""Construct geometric graphs from data for multiscale clustering."""
+
+import numpy as np
+
+from scipy.spatial.distance import pdist, squareform
+from scipy.sparse.csgraph import minimum_spanning_tree
+from scipy.sparse import csr_matrix
+
+from pygenstability.pygenstability import run as pgs_run
+from pygenstability.plotting import plot_scan as pgs_plot_scan
+
+
+def compute_kNN(D, k=5):
+    """Computes kNN graph."""
+
+    N = D.shape[0]
+
+    # get k nearest neighbours for each point
+    k_neighbours = np.argsort(D, axis=1)[:, 1 : k + 1]
+
+    # initialise adjacency matrix
+    A = np.zeros((N, N))
+
+    # build kNN graph
+    for i in range(N):
+        for neighbour in k_neighbours[i]:
+            A[i, neighbour] = D[i, neighbour]
+            A[neighbour, i] = A[i, neighbour]
+
+    return A
+
+
+def compute_CkNN(D, k=5, delta=1):
+    """Computes CkNN graph."""
+    # obtain rescaled distance matrix, see CkNN paper
+    darray_n_nbrs = np.partition(D, k)[:, [k]]
+    ratio_matrix = D / np.sqrt(darray_n_nbrs.dot(darray_n_nbrs.T))
+    # threshold rescaled distance matrix by delta
+    A = D * (ratio_matrix < delta)
+    return A
+
+
+class GraphConstruction:
+    """Graph construction."""
+
+    def __init__(
+        self,
+        metric="euclidean",
+        method="cknn",
+        k=5,
+        delta=1.0,
+        distance_threshold=np.inf,
+    ):
+        # parameters
+        self.metric = metric
+        self.method = method
+        self.k = k
+        self.delta = delta
+        self.distance_threshold = distance_threshold
+
+        # attributes
+        self.adjacency_ = csr_matrix
+
+    def fit(self, X):
+        """Construct graph from samples-by-features matrix."""
+
+        # compute normalised distance matrix
+        D = squareform(pdist(X, metric=self.metric))
+        D_norm = D / np.amax(D)
+
+        # compute normalised similarity matrix
+        S = 1 - D_norm
+
+        # sparsify distance matrix with CkNN or kNN method
+        if self.method == "cknn":
+            sparse = compute_CkNN(D_norm, self.k, self.delta)
+
+        elif self.method == "knn":
+            sparse = compute_kNN(D_norm, self.k)
+
+        # undirected distance backbone is given by sparse graph and MST
+        mst = minimum_spanning_tree(D_norm)
+        backbone = np.array((mst + mst.T + sparse + sparse.T) > 0, dtype=int)
+
+        # apply distance threshold to backbone
+        backbone *= np.array(D <= self.distance_threshold, dtype=int)
+
+        # adjacency matrix has weights of similarity matrix
+        self.adjacency_ = S * backbone
+
+        return self.adjacency_
+
+
+class DataClustering(GraphConstruction):
+    """Data clustering."""
+
+    def __init__(
+        self,
+        metric="euclidean",
+        graph_method="cknn",
+        k=5,
+        delta=1.0,
+        distance_threshold=np.inf,
+        constructor="linearized",
+        min_scale=-3.0,
+        max_scale=0.0,
+        n_scale=50,
+        log_scale=True,
+        scales=None,
+        n_tries=100,
+        with_NVI=True,
+        n_NVI=20,
+        with_postprocessing=True,
+        with_ttprime=True,
+        with_spectral_gap=True,
+        exp_comp_mode="spectral",
+        result_file="results.pkl",
+        n_workers=4,
+        tqdm_disable=False,
+        with_optimal_scales=True,
+        optimal_scales_kwargs=None,
+        ms_method="louvain",
+        constructor_kwargs=None,
+    ):
+
+        # initialise parameters for graph construction
+        super().__init__(
+            metric=metric,
+            method=graph_method,
+            k=k,
+            delta=delta,
+            distance_threshold=distance_threshold,
+        )
+
+        # initialise parameters for PyGenStability
+        self.constructor = constructor
+        self.min_scale = min_scale
+        self.max_scale = max_scale
+        self.n_scale = n_scale
+        self.log_scale = log_scale
+        self.scales = scales
+        self.n_tries = n_tries
+        self.with_NVI = with_NVI
+        self.n_NVI = n_NVI
+        self.with_postprocessing = with_postprocessing
+        self.with_ttprime = with_ttprime
+        self.with_spectral_gap = with_spectral_gap
+        self.exp_comp_mode = exp_comp_mode
+        self.result_file = result_file
+        self.n_workers = n_workers
+        self.tqdm_disable = tqdm_disable
+        self.with_optimal_scales = with_optimal_scales
+        self.optimal_scales_kwargs = optimal_scales_kwargs
+        self.MS_method = ms_method
+        self.constructor_kwargs = constructor_kwargs
+
+        # attributes
+        self.adjacency_ = csr_matrix
+        self.results_ = {}
+        self.labels_ = []
+
+    def fit(self, X):
+
+        # construct graph
+        self.adjacency_ = csr_matrix(super().fit(X))
+
+        # adapt optimal scales parameters
+        if self.optimal_scales_kwargs is None:
+            self.optimal_scales_kwargs = {"kernel_size": int(0.2 * self.n_scale)}
+
+        # run PyGenStability
+        self.results_ = pgs_run(
+            self.adjacency_,
+            self.constructor,
+            self.min_scale,
+            self.max_scale,
+            self.n_scale,
+            self.log_scale,
+            self.scales,
+            self.n_tries,
+            self.with_NVI,
+            self.n_NVI,
+            self.with_postprocessing,
+            self.with_ttprime,
+            self.with_spectral_gap,
+            self.exp_comp_mode,
+            self.result_file,
+            self.n_workers,
+            self.tqdm_disable,
+            self.with_optimal_scales,
+            self.optimal_scales_kwargs,
+            self.MS_method,
+            self.constructor_kwargs,
+        )
+
+        # store labels of robust partitions
+        for i in self.results_["selected_partitions"]:
+
+            # only store non-trivial robust partitions
+            robust_partition = self.results_["community_id"][i]
+            if not np.allclose(robust_partition, np.zeros(self.adjacency_.shape[0])):
+                self.labels_.append(robust_partition)
+
+        return self.results_
+
+    def plot_scan(self):
+        """Plot PyGenStability scan."""
+        if self.results_ is None:
+            return
+
+        pgs_plot_scan(self.results_)
+
+    def plot_robust_partitions(
+        self, x_coord, y_coord, edge_width=1, node_size=20, cmap="tab20"
+    ):
+        """Plot robust partitions."""
+
+        import matplotlib.pyplot as plt
+
+        for m, partition in enumerate(self.labels_):
+
+            # plot
+            _, ax = plt.subplots(1, figsize=(10, 10))
+
+            # plot edges
+            for i in range(self.adjacency_.shape[0]):
+                for j in range(i + 1, self.adjacency_.shape[0]):
+                    if self.adjacency_[i, j] > 0:
+                        ax.plot(
+                            [x_coord[i], x_coord[j]],
+                            [y_coord[i], y_coord[j]],
+                            color="black",
+                            alpha=0.5,
+                            linewidth=edge_width,
+                        )
+
+            # plot nodes
+            ax.scatter(x_coord, y_coord, s=node_size, c=partition, zorder=10, cmap=cmap)
+
+            # set labels
+            ax.set(xlabel="x", ylabel="y", title=f"Robust Partion {m+1}")
+            plt.show()