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Many robotic systems deal with uncertainty by performing a sequence of information gathering actions. In this work, we focus on the problem of efficiently constructing such a sequence by drawing an explicit connection to submodularity.…

We consider a ubiquitous scenario in the study of Influence Maximization (IM), in which there is limited knowledge about the topology of the diffusion network. We set the IM problem in a multi-round diffusion campaign, aiming to maximize…

Machine Learning · Computer Science 2024-06-19 Yuting Feng , Vincent Y. F. Tan , Bogdan Cautis

Most pruning methods remove parameters ranked by impact on loss (e.g., magnitude or gradient). We propose Budgeted Broadcast (BB), which gives each unit a local traffic budget (the product of its long-term on-rate $a_i$ and fan-out $k_i$).…

Machine Learning · Computer Science 2025-10-03 Yaron Meirovitch , Fuming Yang , Jeff Lichtman , Nir Shavit

In the context of influence propagation in a social graph, we can identify three orthogonal dimensions - the number of seed nodes activated at the beginning (known as budget), the expected number of activated nodes at the end of the…

Discrete Mathematics · Computer Science 2011-11-08 Amit Goyal , Francesco Bonchi , Laks V. S. Lakshmanan , Suresh Venkatasubramanian

The subspace selection problem seeks a subspace that maximizes an objective function under some constraint. This problem includes several important machine learning problems such as the principal component analysis and sparse dictionary…

Data Structures and Algorithms · Computer Science 2018-05-22 So Nakashima , Takanori Maehara

In the adaptive influence maximization problem, we are given a social network and a budget $k$, and we iteratively select $k$ nodes, called seeds, in order to maximize the expected number of nodes that are reached by an influence cascade…

Social and Information Networks · Computer Science 2021-05-06 Gianlorenzo D'Angelo , Debashmita Poddar , Cosimo Vinci

We present a new algorithm for exactly solving decision making problems represented as influence diagrams. We do not require the usual assumptions of no forgetting and regularity; this allows us to solve problems with simultaneous decisions…

Artificial Intelligence · Computer Science 2015-03-19 Denis Deratani Mauá , Cassio Polpo de Campos , Marco Zaffalon

We present a robust and efficient multigrid method for single-patch isogeometric discretizations using tensor product B-splines of maximum smoothness. Our method is based on a stable splitting of the spline space into a large subspace of…

Numerical Analysis · Mathematics 2017-08-22 Clemens Hofreither , Stefan Takacs

Interdiction problems ask about the worst-case impact of a limited change to an underlying optimization problem. They are a natural way to measure the robustness of a system, or to identify its weakest spots. Interdiction problems have been…

Optimization and Control · Mathematics 2015-11-10 Stephen R. Chestnut , Rico Zenklusen

Influence maximization problem attempts to find a small subset of nodes that makes the expected influence spread maximized, which has been researched intensively before. They all assumed that each user in the seed set we select is activated…

Social and Information Networks · Computer Science 2021-05-21 Jianxiong Guo , Weili Wu

This work studies a novel subset selection problem called max-min diversification with monotone submodular utility ($\textsf{MDMS}$), which has a wide range of applications in machine learning, e.g., data sampling and feature selection.…

Data Structures and Algorithms · Computer Science 2025-10-21 Matthew Fahrbach , Srikumar Ramalingam , Morteza Zadimoghaddam , Sara Ahmadian , Gui Citovsky , Giulia DeSalvo

In this paper, we address the important issue of uncertainty in the edge influence probability estimates for the well studied influence maximization problem --- the task of finding $k$ seed nodes in a social network to maximize the…

Social and Information Networks · Computer Science 2016-06-14 Wei Chen , Tian Lin , Zihan Tan , Mingfei Zhao , Xuren Zhou

The submodular function maximization is an attractive optimization model that appears in many real applications. Although a variety of greedy algorithms quickly find good feasible solutions for many instances while guaranteeing…

Data Structures and Algorithms · Computer Science 2018-11-13 Naoya Uematsu , Shunji Umetani , Yoshinobu Kawahara

We study the classical problem of maximizing a monotone submodular function subject to a cardinality constraint k, with two additional twists: (i) elements arrive in a streaming fashion, and (ii) m items from the algorithm's memory are…

Data Structures and Algorithms · Computer Science 2017-11-27 Slobodan Mitrović , Ilija Bogunovic , Ashkan Norouzi-Fard , Jakub Tarnawski , Volkan Cevher

In this paper, we study the Budgeted Influence Maximization with Delay Problem, for which the number of literature are limited. We propose an approximate marginal spread computation\mbox{-}based approach for solving this problem. The…

Social and Information Networks · Computer Science 2020-05-26 Suman Banerjee , Mamata Jenamani , Dilip Kumar Pratihar

Influence maximization (IM) is the problem of identifying a limited number of initial influential users within a social network to maximize the number of influenced users. However, previous research has mostly focused on individual…

Social and Information Networks · Computer Science 2024-03-29 Zirui Yuan , Minglai Shao , Zhiqian Chen

Subset selection is an interesting and important topic in the field of evolutionary multi-objective optimization (EMO). Especially, in an EMO algorithm with an unbounded external archive, subset selection is an essential post-processing…

Neural and Evolutionary Computing · Computer Science 2021-09-23 Weiyu Chen , Hisao Ishibuchi , Ke Shang

The advent of high-throughput sequencing technologies has made data from DNA material readily available, leading to a surge of microbiome-related research establishing links between markers of microbiome health and specific outcomes.…

Methodology · Statistics 2018-06-19 Susheela P. Singh , Ana-Maria Staicu , Robert R. Dunn , Noah Fierer , Brian J. Reich

Sampling-based algorithms are classical approaches to perform Bayesian inference in inverse problems. They provide estimators with the associated credibility intervals to quantify the uncertainty on the estimators. Although these methods…

Methodology · Statistics 2023-11-28 Pierre-Antoine Thouvenin , Audrey Repetti , Pierre Chainais

In machine learning and big data, the optimization objectives based on set-cover, entropy, diversity, influence, feature selection, etc. are commonly modeled as submodular functions. Submodular (function) maximization is generally NP-hard,…

Data Structures and Algorithms · Computer Science 2022-12-13 Haotian Zhang , Rao Li , Zewei Wu , Guodong Sun
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