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Hessian Matrix of Convex Functions

 06-24-2021 06-23-2023 blog 19 minutes read (About 2922 words)
Verification of Convex Functions using Hessian Matrix

 
Mathematics, 
Optimization  
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Taylor Theorem

 06-23-2021 06-23-2021 blog 19 minutes read (About 2824 words)
The Univariate and Multivariate Taylor Theorem

 
Mathematics  
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Higher-Order Differentials

 06-22-2021 06-22-2021 blog 15 minutes read (About 2295 words)
The Univariate and Multivariate Higher-Order Differentials

 
Mathematics  
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Factorization Theorem for Bayesian Networks

 03-22-2021 03-22-2021 blog 10 minutes read (About 1470 words)
I-Map to Factorization and Factorization to I-Map

 
Mathematics, 
Probabilistic Graphical Model, 
Bayesian Networks  
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Geometry for Computing Dihedral Angles

 03-15-2021 10-19-2021 blog 12 minutes read (About 1801 words)
Computing Dihedral Angles Using Cartesian Coordinates

 
Mathematics, 
Geometry, 
Dihedral Angle  
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Pruning for Neural Networks

 03-01-2021 03-01-2021 article 14 minutes read (About 2172 words)
Mathematical Foundations to Neural Network Pruning

 
Machine Learning, 
Deep Learning, 
Mathematics  
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Discriminative Model VS Generative Model

 12-14-2020 12-14-2020 blog 6 minutes read (About 872 words)
Quick Mathematical Definitions

 
Statistics, 
Mathematics  
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Naive Bayes Classifier

 12-13-2020 02-18-2021 blog 7 minutes read (About 1084 words)
One of the Simplest Probabilistic Classifiers

 
Statistics, 
Mathematics  
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Principle of Maximum Entropy

 12-11-2020 12-11-2020 blog 20 minutes read (About 2979 words)
Principle of Maximum Entropy and Maximum Entropy Distributions

 
Mathematics, 
Physics, 
Maximum Entropy  
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Discrete Fourier Transform for 0/1 Periodic Sequences

 11-02-2020 01-24-2021 blog 21 minutes read (About 3128 words)
An Interesting Property Leading to the Application for Quantum Integer Factorization

 
Mathematics, 
Physics, 
Discrete Fourier Transform  
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Monte Carlo Integration

 10-17-2020 10-18-2020 blog 8 minutes read (About 1211 words)
Integration by Sampling

 
Monte Carlo, 
Statistics, 
Mathematics  
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Multivariate Jensen's Inequality

 10-09-2020 01-26-2021 blog 6 minutes read (About 840 words)
Simple Proof to Multivariate Jensen's Inequality

 
Mathematics  
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Lei Mao

Lei Mao

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