math for machine learning

基本が色々

http://www.ms.hum.titech.ac.jp/mayekawadocs/mat10.pdf

Linear Algebra, Multivariate Calculus

The Matrix Cookbook

http://orion.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf

Gradient, Jacobian, Hessian, Laplacian, *ian, etc.

http://acko.net/blog/making-worlds-3-thats-no-moon/
http://www.ne.jp/asahi/search-center/internationalrelation/mathWeb/Differentiation/PartialDifferentialNvarFnctn/GradHessian.htm
http://www.geocities.co.jp/Technopolis/5112/lap.html

Completing the Square for Quadratic Forms

http://www.stat.tamu.edu/~hart/632/complete.pdf

二次形式　quadratic form

symmetric bilinear form
http://en.wikipedia.org/wiki/Symmetric_bilinear_form

Prob, Stats

Gaussian processes derivation

http://www.iris.dti.ne.jp/~tmasada/2007071101.pdf

Truncated Normal Distribution

http://www.ntrand.com/jp/truncated-normal-distribution/
http://en.wikipedia.org/wiki/Truncated_normal_distribution

Derivation of KL-divergence

http://sucrose.hatenablog.com/entry/2013/07/20/190146

Difference Distribution

http://mathworld.wolfram.com/NormalDifferenceDistribution.html