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feat: add dimensionality reduction algorithms (PCA, LDA, LLE, MDS)#13117

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Sid101098 wants to merge 1 commit intoTheAlgorithms:masterfrom
Sid101098:dimensionality-reduction-algorithms
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feat: add dimensionality reduction algorithms (PCA, LDA, LLE, MDS)#13117
Sid101098 wants to merge 1 commit intoTheAlgorithms:masterfrom
Sid101098:dimensionality-reduction-algorithms

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@Sid101098
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Describe your change:

Description

This PR adds implementations of four fundamental dimensionality reduction algorithms:

Algorithms Implemented:

  • Locally Linear Embedding (LLE) - Nonlinear manifold learning technique
  • Multidimensional Scaling (MDS) - Distance-preserving embedding

Features:

  • Complete mathematical implementations with proper documentation
  • Comprehensive docstrings with examples for each function
  • Type hints and error handling
  • Unit tests and doctests for verification
  • Helper functions for covariance calculations

Testing:

All algorithms have been tested with:

  • Proper input validation
  • Dimension consistency checks
  • Example usage in docstrings

Files Added:

  • machine_learning/dimensionality_reduction/dimensionality_reduction.py

Note: This PR contains four related dimensionality reduction algorithms in one file because they share common helper functions and represent a comprehensive dimensionality reduction module.

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Closing this pull request as invalid

@Sid101098, this pull request is being closed as none of the checkboxes have been marked. It is important that you go through the checklist and mark the ones relevant to this pull request. Please read the Contributing guidelines.

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@algorithms-keeper algorithms-keeper Bot closed this Oct 2, 2025
@algorithms-keeper algorithms-keeper Bot added the awaiting reviews This PR is ready to be reviewed label Oct 2, 2025
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