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Paper · arXiv

Universal Sample-Based Embeddings of Higher-Order Objects

Neural networks operate naturally on finite-dimensional vectors, yet many problems require reasoning about higher-order objects such as distributions, functions, and graphs. Such objects capture relationships within a ground set and rarely admit an explicit compact representation. Moreover, we typically want a compact representation not of a single higher-order object but of an entire family of such objects, including members unseen during training. While a few approaches exist for particular object types, none is designed to work across object types. We propose a unified framework that represents any higher-order object as a fixed-size embedding vector learned over a family of such objec...

AuthorsRadovan Haluška, Christopher Solinas, Nathan R. Sturtevant et al.
Primary categorycs.LG
Published14 October 2026
Last updated at source14 October 2026
cs.LGcs.AI
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