SudokuEM · stationary energy inference

Sudoku Energy-based inference

Powered by the discrete proposals introduced in Graph Energy Matching [NeurIPS 2026].

✕ NOT SOLVED INVALID BOARD

Candidate board

uniform source
grey cell and digit = immutable clue correct free cell incorrect free cell latest edited cells

Learned energy along sampler steps

E(zₜ) − E(z₀)
Raw energy
Δ from previous
Free-cell Hamming
Local gradient score (sum)

Target solution

Diagnostic only: the target determines the green cells, Hamming count, and exact marker after each state is chosen. It is never used by the sampler.