Research map / Learning theory and algorithms / Clustering
Memory-Efficient Approximation Algorithms for Max-k-Cut and Correlation Clustering
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Run sampling-based SDP algorithm in linear memory on small-sparse graph | Max-Agree algorithm · GSET G1 | peak memory: 1526.35kB ≈ 9.8 x (|V|+|E+|+|E-|) x 8 | Helped |
| Check linear memory across all GSET instances | Max-Agree algorithm · GSET | memory constant c: c <= 33 | Helped |
| Check empirical approximation ratio against theoretical bound | Max-Agree algorithm · GSET, epsilon=0.05 | AR: 0.4375 -> 0.565 (lowest observed) | Helped |
| Compare best-of-10 rounding against theoretical bound on G14 | Max-Agree algorithm · GSET G14 | AR: 0.4375 -> 0.866 | Helped |
| Vary graph from G14 to G57 (more iterations, larger graph) | Max-Agree algorithm · GSET | AR: 0.866 -> 0.565 | Hurt |
| Pick the best of 10 Gaussian-sample clusterings | Max-Agree algorithm · GSET | clustering value | Helped |
| Check iteration count of LMO against theoretical bound | Frank-Wolfe solver · GSET | iterations to epsilon-convergence | No clear effect |
| Check infeasibility of covariance of generated samples | Algorithm 2 sampling · GSET | infeasibility: 0.004 max, below epsilon 0.05 | Helped |
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