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geometry

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RESEARCHarXiv CS.LG·26d ago

A Unified Geometric Framework for Weighted Contrastive Learning

Contrastive learning aims to preserve relational structure in sample representations by reflecting a similarity graph. This paper interprets weighted InfoNCE objectives as Distance Geometry Problems, providing a unified geometric framework and exact characterizations of optimal embeddings, revealing how class imbalance affects inter-class similarities in SupCon.

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