WebSubmodular set function maximization. Unlike the case of minimization, maximizing a generic submodular function is NP-hard even in the unconstrained setting. Thus, most of … WebS A;S2Ig, is monotone submodular. More generally, given w: N!R +, the weighted rank function de ned by r M;w(A) = maxfw(S) : S A;S2Igis a monotone submodular function. Cut functions in graphs and hypergraphs: Given an undirected graph G= (V;E) and a non-negative capacity function c: E!R +, the cut capacity function f: 2V!R + de ned by f(S) = …
Fast Adaptive Non-Monotone Submodular Maximization Subject …
Web28 okt. 2024 · Submodular functions arise naturally from combinatorial optimization as several combinatorial functions turn out to be submodular. A few examples of such … WebSubmodular maximization also appears in maximizing the difference of a monotone submodular function and a modular function. An illustrative example of this type is the … photo flyer noel
On maximizing a monotone k-submodular function under a …
Webmonotone submodular maximization problem, which we will describe below. Definition 1. The cardinality constrained monotone submodular maximization problem takes as … Webgeneral non-monotone submodular objectives. In this work we present a new unified continuous greedy algorithm which finds approximate fractional solutions for both the non-monotone and monotone cases, and improves on the approximation ratio for many applications. For general non-monotone submodular objective functions, Web1 jan. 2024 · 1. Introduction. A k -submodular function is a generalization of submodular function, where the input consists of k disjoint subsets of the domain, instead of a single … photo floue photoshop