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arXiv preprint arXiv:2102.11174 , year =

12 Pith papers cite this work. Polarity classification is still indexing.

12 Pith papers citing it
abstract

We show the formal equivalence of linearised self-attention mechanisms and fast weight controllers from the early '90s, where a ``slow" neural net learns by gradient descent to program the ``fast weights" of another net through sequences of elementary programming instructions which are additive outer products of self-invented activation patterns (today called keys and values). Such Fast Weight Programmers (FWPs) learn to manipulate the contents of a finite memory and dynamically interact with it. We infer a memory capacity limitation of recent linearised softmax attention variants, and replace the purely additive outer products by a delta rule-like programming instruction, such that the FWP can more easily learn to correct the current mapping from keys to values. The FWP also learns to compute dynamically changing learning rates. We also propose a new kernel function to linearise attention which balances simplicity and effectiveness. We conduct experiments on synthetic retrieval problems as well as standard machine translation and language modelling tasks which demonstrate the benefits of our methods.

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2026 11 2025 1

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representative citing papers

WriteSAE: Sparse Autoencoders for Recurrent State

cs.LG · 2026-05-12 · unverdicted · novelty 8.0 · 2 refs

WriteSAE introduces sparse autoencoders with rank-1 matrix atoms for recurrent state updates, allowing replacement tests that outperform deletion on 92.4% of positions and a formula predicting logit changes with R²=0.98.

Learning, Fast and Slow: Towards LLMs That Adapt Continually

cs.LG · 2026-05-12 · unverdicted · novelty 7.0 · 2 refs

Fast-Slow Training uses context optimization as fast weights alongside parameter updates as slow weights to achieve up to 3x better sample efficiency, higher performance, and less catastrophic forgetting than standard RL in continual LLM learning.

Test-Time Training with Next-Token Prediction

cs.CL · 2026-06-19 · unverdicted · novelty 6.0

TTT-NTP adapts pretrained LLMs at test time by training fast weights to match next-position hidden states from the forward pass, yielding consistent gains on long-context benchmarks across Llama, Mistral, and Qwen models.

A Single-Layer Model Can Do Language Modeling

cs.CL · 2026-05-11 · unverdicted · novelty 6.0

A 130M-parameter 1-layer GPN achieves FineWeb-Edu perplexity 18.06, within 13% of a 12-layer Transformer++ (16.05) and 18% of a 10-layer GDN (15.34).

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  • WriteSAE: Sparse Autoencoders for Recurrent State cs.LG · 2026-05-12 · unverdicted · none · ref 28 · 2 links

    WriteSAE introduces sparse autoencoders with rank-1 matrix atoms for recurrent state updates, allowing replacement tests that outperform deletion on 92.4% of positions and a formula predicting logit changes with R²=0.98.