Tootfinder

This https://arxiv.org/abs/2401.06584 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Dagger categories and the complex numbers: Axioms for the category of finite-dimensional Hilbert spaces and linear contractions
We unravel a deep connection between limits of real numbers and limits in category theory. Using a new variant of the classical characterisation of the real numbers, we characterise the category of finite-dimensional Hilbert spaces and linear contractions in terms of simple category-theoretic structures and properties that do not refer to norms, continuity, or real numbers. This builds on Heunen, Kornell, and Van der Schaaf's easier characterisation of the category of all Hilbert spaces and lin…

How Far Are We from Predicting Missing Modalities with Foundation Models?
Guanzhou Ke, Yi Xie, Xiaoli Wang, Guoqing Chao, Bo Wang, Shengfeng He
https://arxiv.org/abs/2506.03530

How Far Are We from Predicting Missing Modalities with Foundation Models?
Multimodal foundation models have demonstrated impressive capabilities across diverse tasks. However, their potential as plug-and-play solutions for missing modality prediction remains underexplored. To investigate this, we categorize existing approaches into three representative paradigms, encompassing a total of 42 model variants, and conduct a comprehensive evaluation in terms of prediction accuracy and adaptability to downstream tasks. Our analysis reveals that current foundation models oft…

BWT for string collections
Davide Cenzato, Zsuzsanna Lipt\'ak, Nadia Pisanti, Giovanna Rosone, Marinella Sciortino
https://arxiv.org/abs/2506.01092 htt…

BWT for string collections
We survey the different methods used for extending the BWT to collections of strings, following largely [Cenzato and Lipták, CPM 2022, Bioinformatics 2024]. We analyze the specific aspects and combinatorial properties of the resulting BWT variants and give a categorization of publicly available tools for computing the BWT of string collections. We show how the specific method used impacts on the resulting transform, including the number of runs, and on the dynamicity of the transform with resp…