PAWN: Piece Value Analysis with Neural Networks

Explainable & Ethical AI
Published: arXiv: 2604.15585v1
Authors

Ethan Tang Hasan Davulcu Jia Zou Zhongju Zhang

Abstract

Predicting the relative value of any given chess piece in a position remains an open challenge, as a piece's contribution depends on its spatial relationships with every other piece on the board. We demonstrate that incorporating the state of the full chess board via latent position representations derived using a CNN-based autoencoder significantly improves accuracy for MLP-based piece value prediction architectures. Using a dataset of over 12 million piece-value pairs gathered from Grandmaster-level games, with ground-truth labels generated by Stockfish 17, our enhanced piece value predictor significantly outperforms context-independent MLP-based systems, reducing validation mean absolute error by 16% and predicting relative piece value within approximately 0.65 pawns. More generally, our findings suggest that encoding the full problem state as context provides useful inductive bias for predicting the contribution of any individual component.

Paper Summary

Problem
The main challenge addressed by this research paper is predicting the relative value of a chess piece in a given position. This is an open problem because a piece's contribution depends on its spatial relationships with every other piece on the board, making it difficult to evaluate its value accurately.
Key Innovation
The innovation presented in this paper is a new approach to predicting piece values using a combination of a CNN-based autoencoder and an MLP-based piece value prediction architecture. The autoencoder learns to represent the full chess board as a compact latent position representation, which is then used as input to the piece value predictor. This approach significantly improves the accuracy of the piece value predictions.
Practical Impact
This research has practical implications for improving chess engines and other predictive systems that need to evaluate individual component contributions. By incorporating a vector representation of the entire problem state as context, these systems can make more accurate predictions and better understand the relationships between different components. This can lead to improved decision-making and more effective problem-solving in various domains.
Analogy / Intuitive Explanation
The concept of piece value prediction can be understood using the analogy of a puzzle. Each piece on the chess board is like a puzzle piece, and its value depends on how it fits with the other pieces in the puzzle. The CNN-based autoencoder can be thought of as a powerful puzzle solver that learns to represent the entire puzzle as a compact representation, which is then used to predict the value of each individual piece. This approach allows the piece value predictor to consider the spatial relationships between all the pieces on the board, resulting in more accurate predictions.
Paper Information
Categories:
cs.LG cs.AI
Published Date:

arXiv ID:

2604.15585v1

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