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Test-Time Training with KV Binding Is Secretly Linear Attention

Test-time training is reinterpreted as learned linear attention rather than memorization, offering architectural simplifications and improved efficiency.

Year
2026
Venue
arXiv 2026
Authors
5
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arxiv.org/abs/2602.21204ARXIV-DEFAULT
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Abstract

Test-time training (TTT) with KV binding as sequence modeling layer is commonly interpreted as a form of online meta-learning that memorizes a key-value mapping at test time. However, our analysis reveals multiple phenomena that contradict this memorization-based interpretation. Motivated by these findings, we revisit the formulation of TTT and show that a broad class of TTT architectures can be expressed as a form of learned linear attention operator. Beyond explaining previously puzzling model behaviors, this perspective yields multiple practical benefits: it enables principled architectural simplifications, admits fully parallel formulations that preserve performance while improving efficiency, and provides a systematic reduction of diverse TTT variants to a standard linear attention form. Overall, our results reframe TTT not as test-time memorization, but as learned linear attention with enhanced representational capacity.

Authors

5