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Constant-Memory Recall: Learned Associations in a Fixed Matrix State

arXiv机器学习 2026-09-23 08:17 6 阅读 查看原文

Fixed-size recurrent memory limits storage growth during inference, but successful recall depends on the task and training.

We study a small DeltaNet variant with fixed token-specific key biases, trained to remember 32 new key-value pairings per sequence.

With 32 KiB of recurrent matrix state, it achieves 99.95% mean accuracy across three training seeds when choosing among the sequence's values.

Recall remains near perfect when filler extends the pre-query context to 1,798 tokens without adding pairings.

Zeroing the first memory block removes this recall.

An exploratory 48-pair test remains near chance after one quarter of the primary training budget and does not locate a capacity limit.

Parameter-matched vector and Transformer baselines remain near chance, including the Transformer after additional training searches.

This unresolved baseline failure prevents a memory-efficiency comparison.