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The adaptive complexity of maximizing a submodular function

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math.OC 1

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The Adaptive Complexity of Finding a Stationary Point

math.OC · 2025-05-14 · conditional · novelty 7.0

The adaptive round complexity of finding an epsilon-stationary point is Omega(epsilon^{-(p+1)/p}) in high dimension even with poly(d) parallel queries, and near-matching per-round query bounds are given in constant dimension.

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  • The Adaptive Complexity of Finding a Stationary Point math.OC · 2025-05-14 · conditional · none · ref 5

    The adaptive round complexity of finding an epsilon-stationary point is Omega(epsilon^{-(p+1)/p}) in high dimension even with poly(d) parallel queries, and near-matching per-round query bounds are given in constant dimension.