Author

Yue Song

University of Trento

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Preprint Sep 2026

Polynomial Time Algorithms for the Kadison-Singer Problem

Marcus, Spielman, and Srivastava [MSS15] established the existence of Kadison--Singer partitions. We provide polynomial-time algorithms for the Kadison--Singer problem. For Hermitian matrices $A_1,\ldots,A_m\in\mathbb C^{n\times n}$ of rank at most one, we give two algorithms that find signs $\sigma\in\{\pm1\}^m$ satis...

Zhao Song, Yue Song · 1 citation · ⚡1

Jul 2026

The Hyperspherical Geometry of CLIP Latent Space: A Semantic Mixture Model

A principled density model for the CLIP latent space based on Mixtures of von Mises-Fisher distributions defined on the unit hypersphere is proposed, establishing a simple and geometrically consistent probabilistic framework for modeling and understanding multimodal representations.

Zijie Yu, Gaowen Liu, R. Kompella et al. · arXiv.org · 0 citations