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On the Triangle Inequality for the Jaccard Distance in Arbitrary Lattices

arXiv cs.AI ↗ · 2026-08-20 Cached

This paper generalizes the Jaccard distance to arbitrary lattices, proving triangle inequality conditions under various valuations, with applications in quantum information, formal concept analysis, and machine learning.

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#theoretical-research

Randomly initialized autoencoders: fixed points and edge-of-chaos

arXiv cs.LG ↗ · 2026-08-18 Cached

This paper investigates fixed points and stability in randomly initialized autoencoders, introducing local and global edge-of-chaos concepts using random matrix theory and Gaussian processes.

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