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Reinforced Fast Weights via Next-Sequence Prediction
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Proposes ReFINE, an RL framework (GRPO with entropy-based token selection and cosine/binary sequence-level rewards) that trains fast weight language models under a next-sequence prediction objective across mid-training, post-training, and test-time training.
Problem
Fast weight architectures for long-context modeling are trained with next-token prediction, which only optimizes single-token predictions and ignores how the evolving fast-weight memory supports multi-token continuations, leading to suboptimal long-range representations.
Approach
Reformulate training as next-sequence prediction solved with RL: sample high-entropy positions per chunk, generate k-token rollouts, reward them with hidden-state cosine similarity (or exact-match binary reward during TTT), and optimize with GRPO plus an NTP regularizer.
Key results
- Mid-training with ReFINE improves LaCT-760M RULER NIAH average over SFT mid-training (e.g., 46.2 to 47.7 MK-NIAH avg) and DeltaNet-1.3B Multi-key NIAH by +8.8 over SFT mid-training.
- Nested ReFINE post-training on DeltaNet-1.3B raises RULER SQuADQA average from 8.3 (nested SFT) to 10.3, and with ReFINE TTT reaches 12.3.
- On 12 LongBench tasks, ReFINE TTT reaches 18.0 average for LaCT-760M vs 13.5 for SFT and 13.1 for no training.
Surprising findings
- Validation NTP accuracy on Booksum improves under ReFINE mid-training more than under direct NTP SFT, even though SFT optimizes NTP directly.
Limitations
- Cosine similarity reward degrades for overly long rollouts, limiting gains from larger k.
- Rollout generation requires re-running prefixes for each sampled position, which is computationally costly for long contexts.
- Optimal rollout length is context-dependent and fixed in the current method.
Experimental setup
Datasets: Long-Data-Collections Booksum RULER SQuADQA RULER HotpotQA LongBench
Benchmarks: RULER NIAH RULER SQuADQA RULER HotpotQA LongBench Booksum short-context tasks (PIQA, HellaSwag, WinoGrande, ARC, Wikitext, LAMBADA, FDA, SWDE)
Metrics: recall F1 rouge accuracy NTP accuracy perplexity
Baselines: SFT with next-token prediction nested SFT LaCT-760M DeltaNet-1.3B
Builds on: GRPO LaCT DeltaNet multi-token prediction nested learning
Closest papers by meaning
- Better & Faster Large Language Models via Multi-token Prediction (ICML 2024 · similarity 0.89)
- Implicit Optimization Bias of Next-token Prediction in Linear Models (NeurIPS 2024 · similarity 0.88)
- A Little Goes a Long Way: Efficient Long Context Training and Inference with Partial Contexts (ICLR 2025 · similarity 0.88)
- Next-Latent Prediction Transformers Learn Compact World Models (NeurIPS 2026 · similarity 0.88)
- RAT: Bridging RNN Efficiency and Attention Accuracy via Chunk-based Sequence Modeling (NeurIPS 2025 · similarity 0.88)
- Logits are All We Need to Adapt Closed Models (ICML 2025 · similarity 0.88)
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