Sitemap
A list of all the posts and pages found on the site. For you robots out there, there is an XML version available for digesting as well.
Pages
Posts
Future Blog Post
Published:
This post will show up by default. To disable scheduling of future posts, edit config.yml and set future: false.
Blog Post number 4
Published:
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 3
Published:
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 2
Published:
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
Blog Post number 1
Published:
This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.
portfolio
Portfolio item number 1
Short description of portfolio item number 1
Portfolio item number 2
Short description of portfolio item number 2
publications
Matrix Completion Survey: Theory, Algorithms, and Empirical Evaluation
Published in arXiv preprint, 2025
A survey of matrix completion methods, covering theoretical guarantees, algorithmic approaches, and empirical performance across passive and adaptive sampling regimes.
Recommended citation: Leo Villani. (2025). "Matrix Completion Survey: Theory, Algorithms, and Empirical Evaluation." arXiv:2512.08689.
Download Paper
The Geometry of Creativity: Semantic Null-Space Sampling for Generative Models
Published in Conference submission (under review), 2026
We study creativity in generative models through a geometric lens, introducing semantic null-space sampling as a principled way to generate novel yet semantically consistent outputs post-hoc.
Recommended citation: Leo Villani. (2026). "The Geometry of Creativity: Semantic Null-Space Sampling for Generative Models." Conference submission.
Download Paper
talks
Talk 1 on Relevant Topic in Your Field
Published:
This is a description of your talk, which is a markdown file that can be all markdown-ified like any other post. Yay markdown!
Conference Proceeding talk 3 on Relevant Topic in Your Field
Published:
This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.
teaching
Math 1B
Math 1B, UC Berkeley, 2023
Hi, I’m Leo Villani. Here are the resources I use / mention in discussion section this semester. :D
Math 1B
Math 1B, UC Berkeley, 2024
Hi, I’m Leo Villani. Here are the resources I use / mention in discussion section this spring!
(I also taught this course in Fall 2023 see below).
Math W54
Math W54, UC Berkeley, 2024
Hi, I’m Leo Villani. Here are the resources I use / mention in discussion section this summer!