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New research explores p-adic encodings for constraint satisfaction problems like Sudoku

By PulseAugur Editorial · [1 sources] ·

A new research paper published on arXiv details a method for encoding finite-domain constraints using signed p-adic residual objectives. This approach is demonstrated with a Sudoku case study, showing how it can represent the all-different constraint and clause satisfaction without requiring a one-hot encoding. The paper also highlights associated tools and platforms for accessing the code, data, and related research. AI

IMPACT This research introduces a novel encoding method for constraint satisfaction problems, potentially offering new techniques for AI systems dealing with complex combinatorial challenges.

RANK_REASON The cluster contains a single academic paper published on arXiv. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New research explores p-adic encodings for constraint satisfaction problems like Sudoku

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The cluster contains a single academic paper published on arXiv. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Greg Baker ·

    Signed p-adic Residual Encodings of Finite-Domain All-Different Systems with a Sudoku Case Study

    arXiv:2609.16063v1 Announce Type: new Abstract: We study signed, weighted affine $p$-adic residual objectives as native encodings of finite-domain constraints. For primes that separate the finite alphabet, sufficiently weighted positive unary rows pin each coefficient to its allo…

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