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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.
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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.
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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
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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!