Conditioning as Disintegration
From Chang and Pollard, Statistica Neerlandica 1997 Also see chapters on regular conditional probabilities.
A tiny Vim Snippet
A tiny code snippet for Vim using UltiSnips plugin that can convert links to papers into APA citation in markdown.
Brief Recap of Discrete Time Martingales 1
This is a brief recap of discrete time martingales. I am using Jean Francois Le Gall’s book and David Williams’ books as references.
Brownian Motion 2
A sequel to the previous post on Brownian Motion. We introduce Wiener Measure, the Blumenthal 0-1 Law, and the Strong Markov Property.
Brownian Motion 1
Second post in the series. Mainly about the construction of Brownian motion and its properties. I have moved the construction of Gaussian white noise to this post.
Gaussian Variables and Gaussian Processes
This is the first of possibly a series of blog posts recording my study of the book Brownian Motion, Martingales, and Stochastic Calculus by Jean-François Le Gall. A useful reference is this solution manual by Te-Chun Wang.
Variational Auto Encoder
Understanding the VAE
Buffon's Needle
Using Buffon’s Needle to estimate $\pi$
Codeforces 1526C2
Taking Potions
MATH50003 Week 10&11
Quadratures
MATH50003 Week 8&9
Orthogonal Polynomials
Leverages
Notes on leverages from MATH50011
MATH50003 Week7
Fourier Series
MATH50003 Week6
Differential Equations
MATH50003 Week5
Matrix Norms
MATH50003 Week4
Decomposition and Least Sqs.
MATH50003 Week3
Structured Matrices
MATH50003 Week2
Numerical Differentiation
MATH50003 Week1
Numbers
CTC Loss and the Dynamic Programming Approach
This post serves as a minimal appraoch to understanding the CTC loss (for myself).
Leetcode Problem 32 Dynamic Programming in Java
Problem 32 Statement
Tupper's self-referential formula
A bitmap image, which is an image consists of $0$’s and $1$’s.
Groups Sheet 1
Question 6
First Blog
Returning to recurrent state i.o.