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Graph Cuts Always Find a Global Optimum for Potts Models (With a Catch)

ICML 2021 · Learning theory and algorithms › Combinatorial and search optimization · approach: Globally optimal geometric optimization · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · tsukubaHamming error upper bound: 0.821 -> 0.290Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · venusHamming error upper bound: 0.703 -> 0.375Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · plasticHamming error upper bound: 0.779 -> 0.373Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · roadHamming error upper bound: 0.256 -> 0.171Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · bikesHamming error upper bound: 0.229 -> 0.146Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · carHamming error upper bound: 0.225 -> 0.081Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · tsukubaobjective gap upper bound: 1.228 -> 1.213Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · venusobjective gap upper bound: 1.268 -> 1.199Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · plasticobjective gap upper bound: 1.095 -> 1.073Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · roadobjective gap upper bound: 1.036 -> 1.031Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · bikesobjective gap upper bound: 1.030 -> 1.027Helped
Use the proposed perturbation-based bound instead of the naive approximation-guarantee boundMAP inference Potts instances · carobjective gap upper bound: 1.047 -> 1.019Helped

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