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SATNet: Bridging deep learning and logical reasoning using a differentiable satisfiability solver

ICML 2019 · Architectures and efficiency › RNNs and normalization · approach: Neural-symbolic reasoning · 43 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a differentiable MAXSAT SDP layer to learn Sudoku constraints from examples instead of a convolutional model with a completion mask9×9 Sudoku · Original Sudoku testboard-wise accuracy: 15.1% -> 98.3%Helped
Use a differentiable MAXSAT SDP layer to learn Sudoku constraints from examples instead of a convolutional model with a completion mask9×9 Sudoku · Permuted Sudoku testboard-wise accuracy: 0% -> 98.3%Helped
Connect a visual digit classifier to a SATNet constraint-solving layer for end-to-end training instead of using convolutional layers for both stagesVisual Sudoku · Visual Sudoku testboard-wise accuracy: 0.1% -> 63.2%Helped
Use SATNet rather than an LSTM sequence classifierParity (chained XOR) · Input lengths 20 and 40test error rate: 0.476Helped
Use a differentiable MAXSAT solver rather than a convolutional model to solve 4×4 Sudoku4×4 Sudoku · 4×4 Sudoku testboard-wise accuracy: 93% -> 100%Helped
Use low-rank coordinate descent instead of the corresponding OpenMP CPU implementationSATNet GPU implementation · Preliminary runtime benchmarkspeedup: 18-30xHelped

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