<?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" ><generator uri="https://jekyllrb.com/" version="3.10.0">Jekyll</generator><link href="https://barry0121.github.io/feed.xml" rel="self" type="application/atom+xml" /><link href="https://barry0121.github.io/" rel="alternate" type="text/html" /><updated>2025-01-14T20:11:39-05:00</updated><id>https://barry0121.github.io/feed.xml</id><title type="html">Barry’s Website</title><subtitle>Machine Learning Researcher.
Research interest: ai4science, deep learning for sequence-structure modeling, interpretability.
</subtitle><author><name>Barry Xue</name><email>zexin.xue@mail.utoronto.ca / xzexin0121@gmail.com</email></author><entry><title type="html">Resource on Gaussian Integral and Moments associated with Gaussian Probability Density Function</title><link href="https://barry0121.github.io/posts/2012/08/blog-post-1/" rel="alternate" type="text/html" title="Resource on Gaussian Integral and Moments associated with Gaussian Probability Density Function" /><published>2024-10-14T00:00:00-04:00</published><updated>2024-10-14T00:00:00-04:00</updated><id>https://barry0121.github.io/posts/2012/08/blog-post-1</id><content type="html" xml:base="https://barry0121.github.io/posts/2012/08/blog-post-1/"><![CDATA[<p>I need to review the derivation of joint entropy calculation of variables that follows a Gaussian probability density function, and I came across this amazing piece of writing by Daniel F. Savarese on Gaussian Integrals. <a href="https://www.savarese.org/math/gaussianintegral.html">(<em>Link to Paper</em>)</a></p>

<p>This isn’t a hard read, but it does contain some detail derivations. Highly recommend reading this from the beginning to the end.</p>]]></content><author><name>Barry Xue</name><email>zexin.xue@mail.utoronto.ca / xzexin0121@gmail.com</email></author><category term="statistics" /><category term="math" /><summary type="html"><![CDATA[I need to review the derivation of joint entropy calculation of variables that follows a Gaussian probability density function, and I came across this amazing piece of writing by Daniel F. Savarese on Gaussian Integrals. (Link to Paper)]]></summary></entry></feed>