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Memory-Efficient Approximation Algorithms for Max-k-Cut and Correlation Clustering

NeurIPS 2021 · Learning theory and algorithms › Clustering · approach: Correlation clustering · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Run sampling-based SDP algorithm in linear memory on small-sparse graphMax-Agree algorithm · GSET G1peak memory: 1526.35kB ≈ 9.8 x (|V|+|E+|+|E-|) x 8Helped
Check linear memory across all GSET instancesMax-Agree algorithm · GSETmemory constant c: c <= 33Helped
Check empirical approximation ratio against theoretical boundMax-Agree algorithm · GSET, epsilon=0.05AR: 0.4375 -> 0.565 (lowest observed)Helped
Compare best-of-10 rounding against theoretical bound on G14Max-Agree algorithm · GSET G14AR: 0.4375 -> 0.866Helped
Vary graph from G14 to G57 (more iterations, larger graph)Max-Agree algorithm · GSETAR: 0.866 -> 0.565Hurt
Pick the best of 10 Gaussian-sample clusteringsMax-Agree algorithm · GSETclustering valueHelped
Check iteration count of LMO against theoretical boundFrank-Wolfe solver · GSETiterations to epsilon-convergenceNo clear effect
Check infeasibility of covariance of generated samplesAlgorithm 2 sampling · GSETinfeasibility: 0.004 max, below epsilon 0.05Helped

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