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Automatic Differentiation Revisited

 04-12-2025 04-12-2025 blog 15 minutes read (About 2198 words)
Jacobian Matrix, De Novo Chain Rule Expression, Jacobian-Vector Product, Vector-Jacobian Product

 
Deep Learning, 
Mathematics, 
Linear Algebra, 
Calculus, 
Automatic Differentiation  
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Chain Rule

 04-06-2025 04-06-2025 blog 14 minutes read (About 2153 words)
Chain Rule Using Jacobian Matrix Multiplications

 
Mathematics, 
Linear Algebra, 
Calculus, 
Jacobian, 
Chain Rule  
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Derivatives

 03-31-2025 03-31-2025 blog 17 minutes read (About 2585 words)
Derivatives, Partial Derivatives, Directional Derivatives, and Total Derivatives

 
Mathematics, 
Linear Algebra, 
Calculus, 
Jacobian  
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Determinant and Hyper Volume

 04-01-2024 04-01-2024 blog 21 minutes read (About 3100 words)
The Existence and the Uniqueness of Determinant and Its Relationship with Hyper Volume

 
Mathematics, 
Linear Algebra, 
Geometry, 
Calculus, 
Determinant  
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Matrix Block Diagonalization Theorem

 10-30-2023 10-30-2023 blog 10 minutes read (About 1450 words)
Geometry of $n \times n$ Matrices with Complex Eigenvalues

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Rotation-Scaling Theorem

 10-23-2023 10-23-2023 blog 10 minutes read (About 1439 words)
Geometry of $2 \times 2$ Matrices with a Non-Real Complex Eigenvalue

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Diagonalization Theorem

 09-01-2023 10-10-2023 blog 14 minutes read (About 2068 words)
A Matrix Similar to a Diagonal Matrix

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Similarity

 08-20-2023 10-10-2023 blog 13 minutes read (About 1881 words)
Understand Why Matrices are Similar

 
Mathematics, 
Linear Algebra, 
Geometry  
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Multivariate Gaussian and Covariance Matrix

 03-30-2018 03-30-2018 blog 7 minutes read (About 1057 words)
Fill Up Some Probability Holes

 
Probability, 
Linear Algebra  
  Read More
Lei Mao

Lei Mao

Artificial Intelligence Machine Learning Computer Science

Santa Clara, California

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