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'api/abc.html#pyxu.abc.DiffMap.estimate_diff_lipschitz' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/intro/tomo.ipynb:946: WARNING: File not found: 'api/abc.html#pyxu.abc.ProxDiffFunc' +/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/opt/solver/pds.py:docstring of pyxu.opt.solver.pds.ADMM:152: WARNING: Exception occurred in plotting opt-solver-3 + from /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/api/opt.solver.rst: +Traceback (most recent call last): + File "/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/matplotlib/sphinxext/plot_directive.py", line 552, in _run_code + exec(code, ns) + File "", line 29, in +TypeError: SquaredL2Norm.__init__() got an unexpected keyword argument 'dim' +/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/contributing.ipynb:42: WARNING: invalid syntax (, line 5) in document 'examples/contributing' +Parsed source in `python` block: +concatenations: try: + from pyxu.opt.solver import GradientDescent +except ImportError as e: + print(e) +block source: !pip install pyxu-gradient-descent +/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/deblur.ipynb:278: WARNING: File not found: 'api/opt.solver.html#pyxu.opt.solver.PD3O' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algebra.ipynb:32: WARNING: File not found: 'api/abc.html#pyxu.abc.Map.apply' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algebra.ipynb:32: WARNING: File not found: 'api/abc.html#pyxu.abc.DiffMap.jacobian' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algebra.ipynb:32: WARNING: File not found: 'api/abc.html#pyxu.abc.DiffFunc.grad' @@ -34,18 +49,6 @@ block source: ModuleNotFoundError: No module named 'pyxu.opt.solver.GradientDe /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algebra.ipynb:48: WARNING: File not found: 'api/abc.html#pyxu.abc.DiffMap' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algebra.ipynb:57: WARNING: File not found: 'api/operator/blocks.html#pyxu.operator.block_diag' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algebra.ipynb:57: WARNING: File not found: 'api/operator/blocks.html#pyxu.operator.stack' -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algorithms.ipynb:17: WARNING: Title underline too short. - -Conjugate Gradient (CG) `🔗 <../api/opt.solver.html#pyxu.opt.solver.CG>`__ -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algorithms.ipynb:29: WARNING: Title underline too short. - -(Accelerated) Proximal Gradient Descent (PGD) `🔗 <../api/opt.solver.html#pyxu.opt.solver.PGD>`__ -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algorithms.ipynb:29: WARNING: Title underline too short. - -(Accelerated) Proximal Gradient Descent (PGD) `🔗 <../api/opt.solver.html#pyxu.opt.solver.PGD>`__ -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algorithms.ipynb:17: WARNING: File not found: 'api/opt.solver.html#pyxu.opt.solver.CG' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algorithms.ipynb:29: WARNING: File not found: 'api/opt.solver.html#pyxu.opt.solver.PGD' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/algorithms.ipynb:58: WARNING: File not found: 'api/opt.solver.html#pyxu.opt.solver.CondatVu' @@ -66,54 +69,14 @@ Conjugate Gradient (CG) `🔗 <../api/opt.solver.html#pyxu.opt.solver.CG>`__ /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/diff_ops.ipynb:18: WARNING: File not found: 'api/operator/linop.html#pyxu.operator.PartialDerivative' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/diff_ops.ipynb:501: WARNING: File not found: 'api/operator/linop.html#pyxu.operator.Gradient' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/diff_ops.ipynb:511: WARNING: File not found: 'api/operator/linop.html#pyxu.operator.Hessian' -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:32: WARNING: Title underline too short. - -``Func``: The Foundation Stone 🧱 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:64: WARNING: Title underline too short. - -``DiffFunc``: Differentiable Functionals 🎯 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:64: WARNING: Title underline too short. - -``DiffFunc``: Differentiable Functionals 🎯 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:117: WARNING: Title underline too short. - -Demystifying the Proximal Operator 🎭 -^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:117: WARNING: Title underline too short. - -Demystifying the Proximal Operator 🎭 -^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:135: WARNING: Title underline too short. - -Specialized Classes: ``ProxDiffFunc``, ``LinFunc``, ``QuadraticFunc`` 🎨 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:135: WARNING: Title underline too short. +/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:142: WARNING: Title underline too short. -Specialized Classes: ``ProxDiffFunc``, ``LinFunc``, ``QuadraticFunc`` 🎨 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:176: WARNING: Title underline too short. +Implicit Functionals: The Undercover Agents 🕵️‍♀️ +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:142: WARNING: Title underline too short. -Practical Example: Deblurring through Least-Squares 🌠 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:189: WARNING: Title underline too short. - -The Benefit: Automatic Propagation 🚀 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:189: WARNING: Title underline too short. - -The Benefit: Automatic Propagation 🚀 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:194: WARNING: Title underline too short. - -The Takeaway: Flexibility and Power 🌈 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:194: WARNING: Title underline too short. - -The Takeaway: Flexibility and Power 🌈 -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +Implicit Functionals: The Undercover Agents 🕵️‍♀️ +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:27: WARNING: File not found: 'api/operator.interop.html#pyxu.operator.interop.from_source' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:27: WARNING: File not found: 'api/abc.html#pyxu.abc.Map.apply' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:27: WARNING: File not found: 'api/abc.html#pyxu.abc.DiffFunc.grad' @@ -132,14 +95,6 @@ The Takeaway: Flexibility and Power 🌈 /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:137: WARNING: File not found: 'api/abc.html#pyxu.abc.ProxDiffFunc' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:137: WARNING: File not found: 'api/abc.html#pyxu.abc.LinFunc' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/funcs.ipynb:137: WARNING: File not found: 'api/abc.html#pyxu.abc.QuadraticFunc' -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/fwdops.ipynb:142: WARNING: Title underline too short. - -A Nod to Deep Learning 🚀 -~~~~~~~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/fwdops.ipynb:142: WARNING: Title underline too short. - -A Nod to Deep Learning 🚀 -~~~~~~~~~~~~~~~~~~~~~~~~ /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/fwdops.ipynb:11: WARNING: File not found: 'api/abc.html#pyxu.abc.LinOp' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/fwdops.ipynb:17: WARNING: File not found: 'api/operator.interop.html#general' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/fwdops.ipynb:17: WARNING: File not found: 'api/abc.html#pyxu.abc.Map.apply' @@ -170,35 +125,12 @@ A Nod to Deep Learning 🚀 /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/fwdops.ipynb:153: WARNING: File not found: 'api/abc.html#pyxu.abc.LinOp' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/fwdops.ipynb:153: WARNING: File not found: 'api/abc.html#pyxu.abc.DiffMap' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/hpc.ipynb:214: WARNING: File not found: 'api/runtime.html#pyxu.runtime.Precision' -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:81: WARNING: Title underline too short. - -Hands-On Example 🎓 -~~~~~~~~~~~~~~~~~~ -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:81: WARNING: Title underline too short. - -Hands-On Example 🎓 -~~~~~~~~~~~~~~~~~~ /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:30: WARNING: File not found: 'api/abc.html#pyxu.abc.Map.lipschitz' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:30: WARNING: File not found: 'api/abc.html#pyxu.abc.DiffMap.diff_lipschitz' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:40: WARNING: File not found: 'api/abc.html#pyxu.abc.Map.estimate_lipschitz' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:51: WARNING: File not found: 'api/abc.html#pyxu.abc.LinOp' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:285: WARNING: File not found: 'api/index.html' /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/guide/lipschitz.ipynb:285: WARNING: File not found: 'api/abc/arithmetic.html' -/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/opt/solver/pds.py:docstring of pyxu.opt.solver.pds.ADMM:152: WARNING: Exception occurred in plotting opt-solver-3 - from /home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/api/opt.solver.rst: -Traceback (most recent call last): - File "/opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/matplotlib/sphinxext/plot_directive.py", line 552, in _run_code - exec(code, ns) - File "", line 29, in -TypeError: SquaredL2Norm.__init__() got an unexpected keyword argument 'dim' -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/contributing.ipynb:42: WARNING: invalid syntax (, line 5) in document 'examples/contributing' -Parsed source in `python` block: -concatenations: try: - from pyxu.opt.solver import GradientDescent -except ImportError as e: - print(e) -block source: !pip install pyxu-gradient-descent -/home/runner/work/pyxu-org.github.io/pyxu-org.github.io/pyxu/doc/examples/deblur.ipynb:278: WARNING: File not found: 'api/opt.solver.html#pyxu.opt.solver.PD3O' WARNING: missing attribute to_sciop in object pyxu.abc.LinOp /opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.asarray:8: WARNING: Inline emphasis start-string without end-string. /opt/hostedtoolcache/Python/3.12.8/x64/lib/python3.12/site-packages/pyxu/abc/operator.py:docstring of pyxu.abc.operator.LinOp.asarray:8: WARNING: Inline emphasis start-string without end-string. diff --git a/guide/algebra.html b/guide/algebra.html index 09b06031..b6716548 100644 --- a/guide/algebra.html +++ b/guide/algebra.html @@ -505,8 +505,8 @@

Arithmetic Operations on Operators

How Does it Work? 🛠️#

Every time you perform an arithmetic operation, Pyxu automatically infers the output type based on the properties of the operators involved in the operation. This type inference is super convenient because it saves you from manual calculations!

-

For example, Pyxu takes care of updating as needed methods like apply()🔗, jacobian()🔗, grad()🔗, prox()🔗, and adjoint()🔗 according to arithmetic rules. This means you can plug these composite operators directly into proximal gradient algorithms -without having to implement manually gradients or proximal steps yourself.

+

For example, Pyxu takes care of updating as needed methods like apply()🔗, jacobian()🔗, grad()🔗, prox()🔗, and adjoint()🔗 according to arithmetic rules. This means you can plug these composite operators directly into proximal gradient +algorithms without having to implement manually gradients or proximal steps yourself.

diff --git a/guide/diff_ops.html b/guide/diff_ops.html index 97e9e8f0..888d6a2b 100644 --- a/guide/diff_ops.html +++ b/guide/diff_ops.html @@ -292,7 +292,7 @@

Partial Derivatives \[\mathbf{D} f [n] = f[n+1] - f[n]\]

As we will see below, this is the forward finite difference approximation. This could be implemented in matrix-form, in which case it would look like this:

-

a5dbce7a75d64c1b9b90e5bb203304a3

+

32e5b5f8f4e347379dca69a23ae2cf76

Or, it could be instead implemented via a for loop, in which the case of large input signals, would not require storing a large matrix:

[1]:
diff --git a/intro/tomo.html b/intro/tomo.html
index 2075b83e..e3e80c1c 100644
--- a/intro/tomo.html
+++ b/intro/tomo.html
@@ -393,8 +393,8 @@ 
Naive Application of Filtered-Back Projection
 
Pyxu’s Modularity to the Rescue#

-
We now turn our attention to how Pyxu addresses the limitations encountered when using iradon()🔗 for reconstruction in non-ideal conditions. Unlike monolithic approaches, Pyxu’s microservice architecture thrives on modularity, allowing us to decompose the data model into a sequence of simple linear operators: the Radon transform (\(R\)), followed by filtering (\(F\)), masking (\(M\)),
-and finally tapering (\(T\)).

+
We now turn our attention to how Pyxu addresses the limitations encountered when using iradon()🔗 for reconstruction in non-ideal conditions. Unlike monolithic approaches, Pyxu’s microservice architecture thrives on modularity, allowing us to decompose the data model into a sequence of simple linear operators: the Radon transform (\(R\)), followed by filtering (\(F\)), masking
+(\(M\)), and finally tapering (\(T\)).

 

 \[\Phi= T \circ M \circ F \circ R\]

 
Here is a code snippet detailing the construction of such an operator with Pyxu:

@@ -658,7 +658,7 @@ 
Bayesian Inversion
 
  • SquaredL2Norm()🔗: Represents the squared L2 norm of the residual between the observed and modeled data, scaled by the noise level sigma.
    • 
 
  • .argshift(-sino)🔗: Sets the observed sinogram as the data.
    • 
-
  • `* Phi`: Compose the \(L_2\) norm with \(\Phi\), the operator modeling the acquisition process.
    • 
+
  • * Phi: Compose the \(L_2\) norm with \(\Phi\), the operator modeling the acquisition process.
    • 
 
 
    Defining the Smooth Part of the Posterior
    
 
    # Posterior
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