Filetype PDF | Posted on 27 Jan 2023 | 3 years ago
Authentication
digital resources
232x Filetype PDF File size 0.13 MB Source: xiucheng.org
Matrix Calculus Foundation for Machine Learning
LI Xiucheng
SCSE Nanyang Technological University
Outline
Background
Matrix Derivative
Matrix Differentiation Rules
Machine Learning Examples
1
Notation
Wedenote
• scalars with lower-case, x;
• vectors with bold-case, x;
• matrices with upper-case, X;
• the elements of vectors or matrices with xi or Xij;
• trace as tr(X) = P Xii for X ∈ Rn×n;
i=1
• determinant as |X| for X ∈ Rn×n;
• matrices Hadamard product as X ⊙Y;
• vector or matrix inner product with h·,·i.
2
Background
no reviews yet
Please Login to review.
