New `Bonsai.ML.Pca.Torch` Package for Batched and Online PCA#85

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ncguilbeault wants to merge 20 commits into

bonsai-rx:mainfrom

ncguilbeault:dev/pca

Commits on Mar 25, 2026

Added new PCA project
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Added main components of PCA package
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Added probabalistic PCA method to package
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Added online probabalistic PCA method
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Added synthetic data tests for new PCA package
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Updated online ppca method to return closely what is expected from batch pca and ppca
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Refactored `OnlinePPCA` to enforce non-nullable ReorthogonalizePeriod and move reorthogonalization logic directly inside the `Fit` method
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Added PCA data reconstruction functionality
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Added method to fit model and transform data
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Moved `InvertSPD` method to seperate static `Utils` class and updated PCA models to use this
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Added implementation of device and data type properties of base class in model subclasses
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Refactored to use improved naming conventions
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Added XML documentation to code
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Added method for online PCA using the generalized hebbian rule
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Refactored PCA model to use more convenient shape (samples x features) and improved support for validation
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Updated online PCA models
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Updated to support "hidding" model property if provided by the input
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Changed time offset to sample offset for better consistency
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Added standard PCA unit tests
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Removed `static` from test method to fix ms test warning
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