<?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://koyanobunsho.github.io/feed.xml" rel="self" type="application/atom+xml" /><link href="https://koyanobunsho.github.io/" rel="alternate" type="text/html" /><updated>2026-06-26T20:17:38-07:00</updated><id>https://koyanobunsho.github.io/feed.xml</id><title type="html">Bunsho Koyano</title><subtitle>personal description</subtitle><author><name>Bunsho Koyano</name></author><entry><title type="html">Notes on Monge Properties and Submodularity</title><link href="https://koyanobunsho.github.io/blog/monge-submodularity-notes/" rel="alternate" type="text/html" title="Notes on Monge Properties and Submodularity" /><published>2026-06-24T00:00:00-07:00</published><updated>2026-06-24T00:00:00-07:00</updated><id>https://koyanobunsho.github.io/blog/monge-submodularity-notes</id><content type="html" xml:base="https://koyanobunsho.github.io/blog/monge-submodularity-notes/"><![CDATA[<p>I plan to use this blog as a place to organize short technical notes.</p>

<p>My main focus will be on topics around the Monge property and submodularity. I am interested in how these discrete structures appear in optimization, dynamic programming, and algorithm design, and how they can be used to obtain faster algorithms.</p>

<p>For now, this page is a starting point. Future posts will likely include intuitive explanations, small examples, proof sketches, and notes on connections between related concepts.</p>]]></content><author><name>Bunsho Koyano</name></author><category term="Monge property" /><category term="submodularity" /><category term="algorithms" /><summary type="html"><![CDATA[I plan to use this blog as a place to organize short technical notes.]]></summary></entry></feed>