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#submodular

2 curated events
papersTODAY 04:00 UTC

Paper Proposes Framework for Linearizable Submodular Optimization

A new arXiv paper introduces upper-linearizable (and quadratizable) functions, a class generalizing concavity and DR-submodularity across monotone and non-monotone settings. The authors present a meta-algorithm that converts algorithms for linearizable problems into ones for this broader class. It is applied to stationary and non-stationary DR-submodular optimization.

papersSEP 10 04:00 UTC

Sharp Barrier Found for Consistent Submodular Maximization

A new paper proves a hardness limit for consistent submodular maximization, where an algorithm keeps at most k elements while the ground set grows over time. It shows that beating the 2-√2 approximation ratio would force either exponentially many queries or recourse that is linear in the number of arrivals. The result sets a boundary on how much solution quality and stability can be improved at once under a monotone submodular objective.