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AllBeginner
∑MathIntermediate

Low-Rank Approximation

Low-rank approximation replaces a big matrix with one that has far fewer degrees of freedom while preserving most of its action.

#low-rank approximation#eckart-young theorem#svd+12
∑MathIntermediate

Eigendecomposition

Eigendecomposition expresses a matrix as a change of basis times a diagonal scaling, revealing its natural stretching directions.

#eigendecomposition
Intermediate
Advanced
Filtering by:
#pca
Group:
Linear Algebra
#eigenvalue
#eigenvector
+11
📚TheoryIntermediate

Singular Value Decomposition (SVD)

Singular Value Decomposition (SVD) factors any m×n matrix A into A = UΣV^{T}, where U and V are orthogonal and Σ is diagonal with nonnegative entries.

#singular value decomposition#svd#truncated svd+12