Free Energy Mixer
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Abstract (arXiv)
Standard attention stores keys/values losslessly but reads them via a per-head convex average, blocking channel-wise selection. We propose the Free Energy Mixer (FEM): a free-energy (log-sum-exp) read that applies a value-driven, per-channel log-linear tilt to a fast prior (e.g., from queries/keys in standard attention) over indices. Unlike methods that attempt to improve and enrich the (q,k) scoring distribution, FEM treats it as a prior and yields a value-aware posterior read at unchanged complexity, smoothly moving from averaging to per-channel selection as the learnable inverse temperature increases, while still preserving parallelism and the original asymptotic complexity (O(T2) for softmax; O(T) for linearizable variants). We instantiate a two-level gated FEM that is plug-and-play with standard and linear attention, linear RNNs and SSMs. It consistently outperforms strong baselines on NLP, vision, and time-series at matched parameter budgets.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 65 of its 77 references that are in the map. First posted on arXiv 6 Feb 2026.
Builds on
65 of 77 references.
References · 65
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38 more
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Citing papers per year: 2026: 2.
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- 2026MAC-Attention: a Match-Amend-Complete Scheme for Fast and Accurate Attention Computation
- 2026Sparse Attention as a Range Searching Problem: Towards an Inference-Efficient Index for KV Cache
- 2026COBS: Cumulant Order Block Sparse Attention
- 2026Depth-Attention: Cross-Layer Value Mixing for Language Models
- 2026Flux Attention: Context-Aware Hybrid Attention for Efficient LLMs Inference
- 2026Double-P: Hierarchical Top-P Sparse Attention for Long-Context LLMs