arXiv Machine Learning

Finding Most Influential Sets

arXiv:2606. 05919v1 Announce Type: cross Abstract: Identifying most influential sets (MIS) - size-$k$ subsets whose removal maximally changes a target estimand - is typically infeasible because it requires searching over $\binom{n}{k}$ subsets.

arXiv Machine Learning
Oct 22

Supermodular Rank: Set Function Decomposition and Optimization

The paper introduces the concept of supermodular rank, defined as the minimal number of supermodular components required to express a function on a lattice. It characterizes the maximum possible rank and the structure of functions with a fixed rank, and analogously defines submodular rank. Leveraging submodular decompositions, the authors propose an algorithm that partitions a set‑function optimization problem into submodular subproblems, thereby improving approximation guarantees for monotone maximization and ratio minimization while incurring a computational cost tied to the submodular rank.

By Rishi Sonthalia, Anna Seigal, Guido Montufar
arXiv Machine Learning
Oct 3

Streaming algorithms for robust max-min diversification

arXiv:2610. 01456v1 Announce Type: new Abstract: Given a set of $n$ points $X$ in a metric space and an integer $k$, max-min diversification aims to select $k$ points of $X$ maximizing their minimum pairwise distance.

By Andrea Pietracaprina, Geppino Pucci, Stefano Zanon
Hugging Face Trending Papers
Jul 13

Advancing Optimal Subset Oracle via Learning Relaxation of Neural Set Functions

Learning neural set functions is pivotal to a wide range of important applications, including compound selection in AI-driven drug discovery and product recommendation. Recent work has introduced optimal subset oracles to implicitly learn set functions under practical weakly supervised settings, where model parameters are optimized through mean-field variational inference.

arXiv Machine Learning
Jun 4

A General Framework for Dynamic Consistent Submodular Maximization

arXiv:2606. 04946v1 Announce Type: cross Abstract: Consistency is an important property in dynamic submodular maximization and entails maintaining a near-optimal solution at all times, making only a small number of adjustments to the solution in each step.

By Paul D\"utting, Federico Fusco, Silvio Lattanzi, Ashkan Norouzi-Fard, Ola Svensson, Morteza Zadimoghaddam