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In the classical selection problem, the input consists of a collection of elements and the goal is to pick a subset of elements from the collection such that some objective function $f$ is maximized. This problem has been studied…

数据结构与算法 · 计算机科学 2021-09-06 Sofia Maria Nikolakaki , Alina Ene , Evimaria Terzi

Maximizing high-dimensional, non-convex functions through noisy observations is a notoriously hard problem, but one that arises in many applications. In this paper, we tackle this challenge by modeling the unknown function as a sample from…

机器学习 · 计算机科学 2012-07-03 Bo Chen , Rui Castro , Andreas Krause

Several large-scale machine learning tasks, such as data summarization, can be approached by maximizing functions that satisfy submodularity. These optimization problems often involve complex side constraints, imposed by the underlying…

数据结构与算法 · 计算机科学 2021-02-15 Francesco Quinzan , Vanja Doskoč , Andreas Göbel , Tobias Friedrich

In this paper, we study a fundamental problem in submodular optimization, which is called sequential submodular maximization. Specifically, we aim to select and rank a group of $k$ items from a ground set $V$ such that the weighted…

机器学习 · 计算机科学 2023-12-13 Shaojie Tang , Jing Yuan

The problem of maximizing non-negative submodular functions has been studied extensively in the last few years. However, most papers consider submodular set functions. Recently, several advances have been made for the more general case of…

离散数学 · 计算机科学 2016-11-29 Corinna Gottschalk , Britta Peis

We consider the problem of optimal budget allocation for crowdsourcing problems, allocating users to tasks to maximize our final confidence in the crowdsourced answers. Such an optimized worker assignment method allows us to boost the…

机器学习 · 计算机科学 2017-02-28 Angela Zhou , Irineo Cabreros , Karan Singh

We consider a class of submodular maximization problems in which decision-makers have limited access to the objective function. We explore scenarios where the decision-maker can observe only pairwise information, i.e., can evaluate the…

数据结构与算法 · 计算机科学 2022-02-09 Andrew Downie , Bahman Gharesifard , Stephen L. Smith

Opinion summarization is expected to digest larger review sets and provide summaries from different perspectives. However, most existing solutions are deficient in epitomizing extensive reviews and offering opinion summaries from various…

计算与语言 · 计算机科学 2023-10-23 Han Jiang , Rui Wang , Zhihua Wei , Yu Li , Xinpeng Wang

We propose the first adversarially robust algorithm for monotone submodular maximization under single and multiple knapsack constraints with scalable implementations in distributed and streaming settings. For a single knapsack constraint,…

数据结构与算法 · 计算机科学 2019-05-08 Dmitrii Avdiukhin , Slobodan Mitrović , Grigory Yaroslavtsev , Samson Zhou

There are many problems in machine learning and data mining which are equivalent to selecting a non-redundant, high "quality" set of objects. Recommender systems, feature selection, and data summarization are among many applications of…

机器学习 · 计算机科学 2019-04-19 Mehrdad Ghadiri , Mark Schmidt

Subset selection is a popular topic in recent years and a number of subset selection methods have been proposed. Among those methods, hypervolume subset selection is widely used. Greedy hypervolume subset selection algorithms can achieve…

神经与进化计算 · 计算机科学 2020-07-07 Weiyu Chen , Hisao Ishibuhci , Ke Shang

Many tasks in machine learning and data mining, such as data diversification, non-parametric learning, kernel machines, clustering etc., require extracting a small but representative summary from a massive dataset. Often, such problems can…

We introduce several generalizations of classical computer science problems obtained by replacing simpler objective functions with general submodular functions. The new problems include submodular load balancing, which generalizes load…

数据结构与算法 · 计算机科学 2010-06-02 Zoya Svitkina , Lisa Fleischer

The supervised training of high-capacity models on large datasets containing hundreds of thousands of document-summary pairs is critical to the recent success of deep learning techniques for abstractive summarization. Unfortunately, in most…

计算与语言 · 计算机科学 2020-04-22 Reinald Kim Amplayo , Mirella Lapata

Running machine learning algorithms on large and rapidly growing volumes of data is often computationally expensive, one common trick to reduce the size of a data set, and thus reduce the computational cost of machine learning algorithms,…

机器学习 · 计算机科学 2022-01-25 Shaojie Tang , Jing Yuan

Submodular functions are a broad class of set functions, which naturally arise in diverse areas. Many algorithms have been suggested for the maximization of these functions. Unfortunately, once the function deviates from submodularity, the…

离散数学 · 计算机科学 2017-07-17 Lin Chen , Moran Feldman , Amin Karbasi

The optimization of submodular functions on the integer lattice has received much attention recently, but the objective functions of many applications are non-submodular. We provide two approximation algorithms for maximizing a…

数据结构与算法 · 计算机科学 2018-05-21 Alan Kuhnle , J. David Smith , Victoria G. Crawford , My T. Thai

Image collection summarization techniques aim to present a compact representation of an image gallery through a carefully selected subset of images that captures its semantic content. When it comes to web content, however, the ideal…

We study the problem of maximizing constrained non-monotone submodular functions and provide approximation algorithms that improve existing algorithms in terms of either the approximation factor or simplicity. Our algorithms combine…

数据结构与算法 · 计算机科学 2016-03-01 Salman Fadaei , MohammadAmin Fazli , MohammadAli Safari

We study a stochastic variant of monotone submodular maximization problem as follows. We are given a monotone submodular function as an objective function and a feasible domain defined on a finite set, and our goal is to find a feasible…

数据结构与算法 · 计算机科学 2020-06-29 Takanori Maehara , Yutaro Yamaguchi