Paper Overview
Field: NLP Authors: Adithya Bhaskar, Jeffrey Cheng, Danqi Chen Published: 2026-10-02 arXiv: 2610.03695
Abstract
Modern chess engines are silent experts: they play at a superhuman level, but do not offer explanations for their play. On the other hand, language models (LMs) can generate plausible-sounding explanations, but their weak playing strength limits the utility of their explanations.
The authors introduce Queen, a 4B-parameter chess-language model that can explain its moves and plans while playing at the level of a typical Grandmaster. The novel framework enables domain-specific reasoning through complementary components:
- Encoder-decoder architecture: integrates a silent expert chess encoder with an instruction-tuned LM through cross-attention, trained via a question-answering curriculum to extract chess concepts from the encoder's representations.
- Iterative distillation algorithm: uses a natural-language version of Bellman updates — the model analyzes the position after its optimal candidate moves and consolidates these analyses into an explanation of the current position, which is then distilled back into the model.
- After seven iterations, the model's Elo score improved by more than 900 points (from 1782 to 2697).
- Queen substantially outperforms all frontier models in both playing strength and puzzle accuracy, despite having roughly three orders of magnitude fewer parameters.
- Language-model-based evaluation shows the explanations are fluent and approach the coherence of GPT-5.6-Sol.
Results
Significance
The generality of the architecture and training pipeline provides a path for applying language models to domains that have silent expert encoders, such as games, robotics, and computer operation.
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