When the Gradient Sees Rank: Provable Necessity, Causal Recruitment, and Composition in Trained Matrix Memories

arXiv 2609.17594v1•0d4054e6cc6068d964a1fb3068071ae6515ab028052b909904ec0b5adaa83abc

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arXiv ID
2609.17594
Version
v1
Category
cs.LG
Authors
Samuel Larson
Publication date
2026-09-17T04:00:00Z
Source identifier
2609.17594v1
Public record ID
record:sha256:0d4054e6cc6068d964a1fb3068071ae6515ab028052b909904ec0b5adaa83abc

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arxiv_research
Record identifier
0d4054e6cc6068d964a1fb3068071ae6515ab028052b909904ec0b5adaa83abc
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