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DIFUSCO: Graph-based Diffusion Solvers for Combinatorial Optimization

NeurIPS 2023 · Image generation › Fast diffusion sampling · approach: Guidance for conditional diffusion · 34 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use discrete (Bernoulli) diffusion instead of continuous (Gaussian) diffusion (ablation)DIFUSCO · TSP-100, 50 steps x 1 sample, w/o 2-optgap (%): 7.66379 -> 1.45574Helped
use cosine instead of linear inference schedule (ablation)DIFUSCO discrete diffusion · TSP-50gap (%)Helped
use cosine instead of linear inference schedule (ablation)DIFUSCO continuous diffusion · TSP-50gap (%)No clear effect
more diffusion steps instead of more samples (ablation)DIFUSCO · TSP-50gap (%)Helped
add 2-opt post-processing to greedy decoding (ablation)DIFUSCO · TSP-500gap: 10.85% -> 1.49%Helped
add 2-opt post-processing to greedy decoding (ablation)DIFUSCO · TSP-10000gap: 36.75% -> 3.10%Helped
use more MCTS heatmap samples (1x to 4x) (ablation)DIFUSCO MCTS · TSP-500gap: 0.46% -> 0.02%Helped
use more MCTS heatmap samples (1x to 4x) (ablation)DIFUSCO MCTS · TSP-10000gap: 2.58% -> 2.48%Helped
more diffusion steps and samples together (50x1 to 50x16) (ablation)DIFUSCO discrete diffusion · TSP-100 w/ 2optgap (%): 0.23869 -> -0.02322Helped
DIFUSCO (SL+MCTS) vs prior best DIMES (RL+AS+MCTS)large-scale TSP · TSP-500gap: 1.76% -> 0.46%Helped
DIFUSCO on ER-[700-800] MIS graphsDIFUSCO · ER-[700-800]MIS performanceHurt

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