Bipin's Bubble

Detail Mathematics for PCA

This post is a more detailed mathematical look on TLDR part 3 of chapter 1 on Linear Algebra from Deep Learning Book by Goodfellow. Principal Component Analysis (PCA) This post is a more detailed mathematical analysis for PCA from the previous post on Linear Algebra. The readers coming from that post might find a lot of similarities between th... Read more

Linear Algebra 3: Eigendecomposition, SVD

This post is TLDR part 3 of chapter 1 on Linear Algebra from Deep Learning Book by Goodfellow. Eigenvalues and eigenvectors Think of matrix to vector multiplication as linear transformation. Matrix $\mathbf{A}$ will linearly transform vector $\mathbf{x}$ to: $\mathbf{A}\mathbf{x}$. For a matrix $\mathbf{A}$, the vector $\mathbf{v}$ whic... Read more

Linear Algebra 2: Special Matrices and vectors

This post is TLDR part 2 of chapter 1 on Linear Algebra from Deep Learning Book by Goodfellow. Diagonal Matrix $\mathbf{D}$ is diagonal matrix iff $D_{i,j} = 0, \forall i \ne j$ Diagonal matrix can be written as $\mathbf{D} = diag(\mathbf{v})$ where $\mathbf{v} = D_{i,j} \forall i=j$ Diagonal matrix are useful because of following pro... Read more

Linear Algebra 1

The chapter 1 of Deep Learning Book is focussed on Linear Algebra. This post will work on the part of introductory Linear Algebra from the book by Goodfellow. Scalar, Vector, Matrices & Tensor Scalar A scalar is a single number. Denoted by a lower-case variable name: s Examples: $s$ $\epsilon$ $\mathbb{R}$, where $\math... Read more

Announcement

Hi, The first project under here is to have a working site, which now I am reasonably happy with. Of course, there are rooms for improvements, but those are to happen progressively. The next step is to start posting, the first plan being a TL;DR for Deep Learning Book by Goodfellow et al. Stay Tuned… Read more