<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0" xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" xmlns:googleplay="http://www.google.com/schemas/play-podcasts/1.0"><channel><title><![CDATA[Typal Academy]]></title><description><![CDATA[Explorations in Applied Mathematics]]></description><link>https://newsletter.typal.academy</link><image><url>https://substackcdn.com/image/fetch/$s_!zJHo!,w_256,c_limit,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F725873a3-c9ed-4352-b9ea-05ef8e1d1928_400x400.png</url><title>Typal Academy</title><link>https://newsletter.typal.academy</link></image><generator>Substack</generator><lastBuildDate>Sun, 05 Apr 2026 22:20:47 GMT</lastBuildDate><atom:link href="https://newsletter.typal.academy/feed" rel="self" type="application/rss+xml"/><copyright><![CDATA[Typal Academy]]></copyright><language><![CDATA[en]]></language><webMaster><![CDATA[typalacademy@substack.com]]></webMaster><itunes:owner><itunes:email><![CDATA[typalacademy@substack.com]]></itunes:email><itunes:name><![CDATA[Howard Heaton]]></itunes:name></itunes:owner><itunes:author><![CDATA[Howard Heaton]]></itunes:author><googleplay:owner><![CDATA[typalacademy@substack.com]]></googleplay:owner><googleplay:email><![CDATA[typalacademy@substack.com]]></googleplay:email><googleplay:author><![CDATA[Howard Heaton]]></googleplay:author><itunes:block><![CDATA[Yes]]></itunes:block><item><title><![CDATA[#2 — Deanna Needell]]></title><description><![CDATA[Compressed Sensing, Data Science and Machine Learning]]></description><link>https://newsletter.typal.academy/p/2-deanna-needell</link><guid isPermaLink="false">https://newsletter.typal.academy/p/2-deanna-needell</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Mon, 29 Dec 2025 13:03:10 GMT</pubDate><enclosure url="https://api.substack.com/feed/podcast/182033113/ae474375210728cedb49523815c59979.mp3" length="0" type="audio/mpeg"/><content:encoded><![CDATA[<p><a href="https://www.math.ucla.edu/~deanna/">Deanna Needell</a> is a Professor of Mathematics at University of California, Los Angeles (UCLA) and a leading researcher in compressed sensing, numerical linear algebra, data science, and machine learning. Her work has shaped modern sparse recovery and randomized iterative algorithms, and she is widely known for co-developing CoSaMP, a cornerstone method in compressed sensing. More broadly, her research connects numerical linear algebra and optimization with machine learning.</p><p>Deanna&#8217;s research excellence has been recognized with several honors, including the IMA Prize in Mathematics and its Applications, an NSF CAREER Award, a Sloan Research Fellowship, and election as a Fellow of the American Mathematical Society and a Fellow of SIAM. Beyond theory, Deanna has applied mathematical tools to real-world problems in areas such as imaging, public health, and legal analytics, including work on Lyme disease data and collaborations with organizations like the California Innocence Project. She serves as the Executive Director for the Institute for Digital Research and Education and the Dunn Family Endowed Chair in Data Theory, and is deeply committed to mentorship, inclusiveness, and building bridges between mathematics and society.</p><p>Listen via your favorite app:</p><p class="button-wrapper" data-attrs="{&quot;url&quot;:&quot;https://open.spotify.com/show/76AjA4YVwkEuRZgtyOD7w2&quot;,&quot;text&quot;:&quot;Spotify&quot;,&quot;action&quot;:null,&quot;class&quot;:&quot;button-wrapper&quot;}" data-component-name="ButtonCreateButton"><a class="button primary button-wrapper" href="https://open.spotify.com/show/76AjA4YVwkEuRZgtyOD7w2"><span>Spotify</span></a></p><p class="button-wrapper" data-attrs="{&quot;url&quot;:&quot;https://podcasts.apple.com/us/podcast/numerical-optimization/id1779853226&quot;,&quot;text&quot;:&quot;Apple Podcasts&quot;,&quot;action&quot;:null,&quot;class&quot;:&quot;button-wrapper&quot;}" data-component-name="ButtonCreateButton"><a class="button primary button-wrapper" href="https://podcasts.apple.com/us/podcast/numerical-optimization/id1779853226"><span>Apple Podcasts</span></a></p><p class="button-wrapper" data-attrs="{&quot;url&quot;:&quot;https://www.youtube.com/playlist?list=PL8ZktGnYsFQF0pcysEh2AelIfo7M3vMxH&quot;,&quot;text&quot;:&quot;YouTube&quot;,&quot;action&quot;:null,&quot;class&quot;:&quot;button-wrapper&quot;}" data-component-name="ButtonCreateButton"><a class="button primary button-wrapper" href="https://www.youtube.com/playlist?list=PL8ZktGnYsFQF0pcysEh2AelIfo7M3vMxH"><span>YouTube</span></a></p>]]></content:encoded></item><item><title><![CDATA[Bregman's D-Projections]]></title><description><![CDATA[the almost forgotten origin of Bregman divergences]]></description><link>https://newsletter.typal.academy/p/bregmans-d-projections</link><guid isPermaLink="false">https://newsletter.typal.academy/p/bregmans-d-projections</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Mon, 22 Dec 2025 13:01:17 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!X2Ax!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F53344052-d315-48d8-b3d9-e0ad127e142d_2576x1932.jpeg" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Kaczmarz Algorithm]]></title><description><![CDATA[iterative projections onto hyperplanes]]></description><link>https://newsletter.typal.academy/p/kaczmarz-algorithm</link><guid isPermaLink="false">https://newsletter.typal.academy/p/kaczmarz-algorithm</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Wed, 17 Dec 2025 20:07:12 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!7CvN!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F55b40e98-e7f0-4d88-9c9b-37e9fe065801_1920x1080.gif" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Full Stack Mathematician]]></title><description><![CDATA[A new label, perhaps?]]></description><link>https://newsletter.typal.academy/p/full-stack-mathematician</link><guid isPermaLink="false">https://newsletter.typal.academy/p/full-stack-mathematician</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Tue, 09 Dec 2025 13:03:19 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!oEUW!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F315a51cd-c863-42d7-bad0-f809df41666c_1920x1080.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Interior Point Method]]></title><description><![CDATA[Log barrier example with Newton's iteration]]></description><link>https://newsletter.typal.academy/p/interior-point-method</link><guid isPermaLink="false">https://newsletter.typal.academy/p/interior-point-method</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Wed, 03 Dec 2025 04:35:19 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!HGsV!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fba1dea50-32d9-4463-a5d5-d65790c3af00_1920x1080.gif" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Convex Flow Problem]]></title><description><![CDATA[Optimizing over graphs embedding physics]]></description><link>https://newsletter.typal.academy/p/convex-flow-problem</link><guid isPermaLink="false">https://newsletter.typal.academy/p/convex-flow-problem</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Fri, 03 Oct 2025 15:59:32 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!7xRR!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fff015ce3-3116-4c82-be94-be1765780281_1920x1080.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Brachistochrone Derivation]]></title><description><![CDATA[Computing the Shortest-Time Curve]]></description><link>https://newsletter.typal.academy/p/brachistochrone-derivation</link><guid isPermaLink="false">https://newsletter.typal.academy/p/brachistochrone-derivation</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Thu, 25 Sep 2025 06:14:12 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!2vbh!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F75ccbc6e-9c10-403a-97ec-3c704c8d27fd_8000x4500.jpeg" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Brachistochrone Problem]]></title><description><![CDATA[Finding the Shortest-Time Curve]]></description><link>https://newsletter.typal.academy/p/brachistochrone-problem</link><guid isPermaLink="false">https://newsletter.typal.academy/p/brachistochrone-problem</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Wed, 10 Sep 2025 14:10:04 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!cCLe!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Faf4aec29-85b1-4b4b-a65b-60612765c942_1920x1080.gif" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Minimum-Norm Problem]]></title><description><![CDATA[Minimal Energy Solutions]]></description><link>https://newsletter.typal.academy/p/minimum-norm-problem</link><guid isPermaLink="false">https://newsletter.typal.academy/p/minimum-norm-problem</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Fri, 05 Sep 2025 00:01:16 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!SJfr!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F59039482-303d-43db-92fc-96c618d74a64_1920x1080.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Basis Pursuit]]></title><description><![CDATA[Corners beat circles.]]></description><link>https://newsletter.typal.academy/p/basis-pursuit</link><guid isPermaLink="false">https://newsletter.typal.academy/p/basis-pursuit</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Tue, 02 Sep 2025 12:28:38 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!5Uo-!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F565f7309-0191-45c5-a309-1b0ae420037c_1920x1080.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[What does Proximal-Proximal solve?]]></title><description><![CDATA[A subtle mistake when minimizing the sum of two functions]]></description><link>https://newsletter.typal.academy/p/what-does-proximal-proximal-solve</link><guid isPermaLink="false">https://newsletter.typal.academy/p/what-does-proximal-proximal-solve</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Wed, 27 Aug 2025 13:58:54 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!FQbt!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F98a7a1e5-8413-476c-83fa-f8791f3bb556_1920x1080.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Proximal Gradient]]></title><description><![CDATA[Minimizer = Fixed Point of Update Formula]]></description><link>https://newsletter.typal.academy/p/proximal-gradient</link><guid isPermaLink="false">https://newsletter.typal.academy/p/proximal-gradient</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Tue, 19 Aug 2025 12:02:50 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!0YPF!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F4fa9ea93-8d00-4007-bbbb-0cc313d1b74d_1920x1080.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Fermat-Weber Problem]]></title><description><![CDATA[a basic form of minimizing a sum of distances]]></description><link>https://newsletter.typal.academy/p/fermat-weber-problem</link><guid isPermaLink="false">https://newsletter.typal.academy/p/fermat-weber-problem</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Thu, 14 Aug 2025 00:59:03 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!0ghk!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F142805a7-be43-4738-87a2-529367e5349f_1920x1080.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Matrix Completion]]></title><description><![CDATA[a simple model for predicting missing entries]]></description><link>https://newsletter.typal.academy/p/matrix-completion</link><guid isPermaLink="false">https://newsletter.typal.academy/p/matrix-completion</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Thu, 31 Jul 2025 00:01:47 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!JFDs!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fb581f18b-9575-402f-bc01-13b7e532ea05_1536x864.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Singular Value Thresholding]]></title><description><![CDATA[Proximal of Nuclear Norm]]></description><link>https://newsletter.typal.academy/p/singular-value-thresholding</link><guid isPermaLink="false">https://newsletter.typal.academy/p/singular-value-thresholding</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Thu, 10 Jul 2025 13:51:34 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!jmI8!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F8eb0ada8-3c16-47c0-bdf7-7e780a39e608_1636x1228.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Fixed Point Iterations]]></title><description><![CDATA[Don't just settle for vanilla fixed point iterations]]></description><link>https://newsletter.typal.academy/p/fixed-point-iterations</link><guid isPermaLink="false">https://newsletter.typal.academy/p/fixed-point-iterations</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Tue, 24 Jun 2025 12:28:13 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!CZ0G!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F85bb55e2-2e53-422a-8a45-5867ae8493c2_1392x1660.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Gradient Descent]]></title><description><![CDATA[a classic algorithm seen through operators]]></description><link>https://newsletter.typal.academy/p/gradient-descent</link><guid isPermaLink="false">https://newsletter.typal.academy/p/gradient-descent</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Tue, 17 Jun 2025 12:02:57 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!KLIQ!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2Fbec53daf-c01f-4c10-8d4b-f8b5b7c47b67_1824x1286.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Alternating Projection]]></title><description><![CDATA[Project. Switch. Repeat.]]></description><link>https://newsletter.typal.academy/p/alternating-projection</link><guid isPermaLink="false">https://newsletter.typal.academy/p/alternating-projection</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Tue, 27 May 2025 12:02:59 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!BaKl!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F14e4d299-6558-4c09-83fd-e6758b2a008d_1920x1080.gif" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Baillon and Haddad's Theorem]]></title><description><![CDATA[a bridge from functions to monotone operators]]></description><link>https://newsletter.typal.academy/p/baillon-and-haddads-theorem</link><guid isPermaLink="false">https://newsletter.typal.academy/p/baillon-and-haddads-theorem</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Tue, 20 May 2025 12:01:56 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!kn1E!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F9c34b599-7f56-458b-9f05-a052a3952f50_1006x590.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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   ]]></content:encoded></item><item><title><![CDATA[Series Divergence via Asymptotic Behavior]]></title><description><![CDATA[An example with the harmonic series]]></description><link>https://newsletter.typal.academy/p/series-divergence-via-asymptotic</link><guid isPermaLink="false">https://newsletter.typal.academy/p/series-divergence-via-asymptotic</guid><dc:creator><![CDATA[Howard Heaton]]></dc:creator><pubDate>Thu, 08 May 2025 15:12:57 GMT</pubDate><enclosure url="https://substackcdn.com/image/fetch/$s_!B0OS!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F1d9b3e62-733e-4c31-87de-4612cf372083_1342x1228.png" length="0" type="image/jpeg"/><content:encoded><![CDATA[
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