Publications

You can also find my articles on my Google Scholar profile.

Conference Papers

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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Surveys

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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