Dec 6, 2021
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Max-k-Cut and correlation clustering are fundamental graph partitioning problems. The methods with the best approximation guarantees for Max-k-Cut and the Max-Agree variant of correlation clustering involve solving SDPs with n^2 variables and n^2 constraints (where n is the number of vertices). Large-scale instances of SDPs, thus, present a memory bottleneck. In this paper, we develop a simple polynomial-time Gaussian sampling-based algorithms for these two problems that use 𝒪(n+|E|) memory and nearly achieve the best existing approximation guarantees. For dense graphs arriving in a stream, we eliminate the dependence on |E| in the storage complexity at the cost of a slightly worse approximation ratio by combining our approach with sparsification.Max-k-Cut and correlation clustering are fundamental graph partitioning problems. The methods with the best approximation guarantees for Max-k-Cut and the Max-Agree variant of correlation clustering involve solving SDPs with n^2 variables and n^2 constraints (where n is the number of vertices). Large-scale instances of SDPs, thus, present a memory bottleneck. In this paper, we develop a simple polynomial-time Gaussian sampling-based algorithms for these two problems that use 𝒪(n+|E|) memory and…
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Neural Information Processing Systems (NeurIPS) is a multi-track machine learning and computational neuroscience conference that includes invited talks, demonstrations, symposia and oral and poster presentations of refereed papers. Following the conference, there are workshops which provide a less formal setting.
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