24–27 Jun 2026
Seoul National University
Asia/Seoul timezone

Nonnegative matrix factorization with topological regularization

27 Jun 2026, 10:50
40m
Seoul National University

Seoul National University

Speaker

Keunsu Kim

Description

Nonnegative Matrix Factorization (NMF) is a core tool for uncovering the latent structure of data. Since basis vectors encapsulate the essential features of the data, a central objective of this study is to learn them in a way that is both interpretable and structurally meaningful. In this talk, we quantify the intuition of what constitutes a “good basis” using persistent homology, and introduce Top-NMF, a novel framework that directly incorporates this topological criterion into the optimization process as a regularization term.

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