Near-linear scaling-based algorithms solve separable convex integer programs in small-treedepth regimes, matching the n log(range) comparison lower bound up to parameters and a log n gap.
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(Near)-Optimal Algorithms for Sparse Separable Convex Integer Programs
Near-linear scaling-based algorithms solve separable convex integer programs in small-treedepth regimes, matching the n log(range) comparison lower bound up to parameters and a log n gap.