@article{798c7f1fb6924b97b4edafb0d61cbe5f,
title = "Hard-Negative Sampling for Contrastive Learning: Optimal Representation Geometry and Neural-vs Dimensional-Collapse",
keywords = "Contrastive Learning, Hard-Negative Sampling, Neural-Collapse",
author = "Ruijie Jiang and Thuan Nguyen and Shuchin Aeron and Prakash Ishwar",
note = "Publisher Copyright: {\textcopyright} 2025, Transactions on Machine Learning Research. All rights reserved.",
year = "2025",
language = "English",
volume = "2025-April",
journal = "Transactions on Machine Learning Research",
issn = "2835-8856",
}