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Influence maximization (IM) is a representative and classic problem that has been studied extensively before. The most important application derived from the IM problem is viral marketing. Take us as a promoter, we want to get benefits from…

Social and Information Networks · Computer Science 2021-05-31 Jianxiong Guo , Yapu Zhang , Weili Wu

A $k$-submodular function naturally generalizes submodular functions by taking as input $k$ disjoint subsets, rather than a single subset. Unlike standard submodular maximization, which only requires selecting elements for the solution,…

Data Structures and Algorithms · Computer Science 2025-07-18 Chenhao Wang

This work extends the factorization method to the inverse scattering problem of reconstructing the shape and location of an absorbing penetrable scatterer embedded in a thin infinite elastic (Kirchhoff--Love) plate. With the assumption that…

Analysis of PDEs · Mathematics 2025-11-13 Rafael Ceja Ayala , Isaac Harris , General Ozochiawaeze

Popularity bias in music recommendation systems -- where artists and tracks with the highest listen counts are recommended more often -- can also propagate biases along demographic and cultural axes. In this work, we identify these biases…

Information Retrieval · Computer Science 2024-05-29 Armin Moradi , Nicola Neophytou , Golnoosh Farnadi

Influence maximization which asks for $k$-size seed set from a social network such that maximizing the influence over all other users (called influence spread) has widely attracted attention due to its significant applications in viral…

Social and Information Networks · Computer Science 2018-02-16 Xin Yang , Ju Fan

The maximization of submodular functions is an NP-Hard problem for certain subclasses of functions, for which a simple greedy algorithm has been shown to guarantee a solution whose quality is within 1/2 of the optimal. When this algorithm…

Data Structures and Algorithms · Computer Science 2019-01-11 David Grimsman , Mohd. Shabbir Ali , João P. Hespanha , Jason R. Marden

A deterministic approximation algorithm is presented for the maximization of non-monotone submodular functions over a ground set of size $n$ subject to cardinality constraint $k$; the algorithm is based upon the idea of interlacing two…

Data Structures and Algorithms · Computer Science 2019-10-28 Alan Kuhnle

Given a graph $G$, a community structure $\mathcal{C}$, and a budget $k$, the fair influence maximization problem aims to select a seed set $S$ ($|S|\leq k$) that maximizes the influence spread while narrowing the influence gap between…

Data Structures and Algorithms · Computer Science 2023-11-23 Xiaobin Rui , Zhixiao Wang , Jiayu Zhao , Lichao Sun , Wei Chen

The rise of Online Social Networks (OSNs) has caused an insurmountable amount of interest from advertisers and researchers seeking to monopolize on its features. Researchers aim to develop strategies for determining how information is…

Machine Learning · Statistics 2018-03-09 Trisha Lawrence

We study the power of fractional allocations of resources to maximize influence in a network. This work extends in a natural way the well-studied model by Kempe, Kleinberg, and Tardos (2003), where a designer selects a (small) seed set of…

Computer Science and Game Theory · Computer Science 2014-01-31 Erik D. Demaine , MohammadTaghi Hajiaghayi , Hamid Mahini , David L. Malec , S. Raghavan , Anshul Sawant , Morteza Zadimoghadam

In this paper, we develop a qualitative theory of influence diagrams that can be used to model and solve sequential decision making tasks when only qualitative (or imprecise) information is available. Our approach is based on an…

Artificial Intelligence · Computer Science 2012-02-20 Radu Marinescu , Nic Wilson

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…

Discrete Mathematics · Computer Science 2016-11-29 Corinna Gottschalk , Britta Peis

Subset selection tasks, arise in recommendation systems and search engines and ask to select a subset of items that maximize the value for the user. The values of subsets often display diminishing returns, and hence, submodular functions…

Machine Learning · Computer Science 2023-05-05 Anay Mehrotra , Nisheeth K. Vishnoi

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…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Weiyu Chen , Hisao Ishibuhci , Ke Shang

Given a social network, where each user is associated with a selection cost, the problem of \textsc{Budgeted Influence Maximization} (\emph{BIM Problem} in short) asks to choose a subset of them (known as seed users) within an allocated…

Databases · Computer Science 2021-04-20 Suman Banerjee , Bithika Pal

The problem of binary minimization of a quadratic functional in the configuration space is discussed. In order to increase the efficiency of the random-search algorithm it is proposed to change the energy functional by raising to a power…

Disordered Systems and Neural Networks · Physics 2011-09-02 Iakov Karandashev , Boris Kryzhanovsky

In recent years, ridesharing platforms have become a prominent mode of transportation for the residents of urban areas. As a fundamental problem, route recommendation for these platforms is vital for their sustenance. The works done in this…

Data Structures and Algorithms · Computer Science 2024-01-23 Aqsa Ashraf Makhdomi , Iqra Altaf Gillani

Importance sampling (IS) is a powerful Monte Carlo methodology for the approximation of intractable integrals, very often involving a target probability density function. The performance of IS heavily depends on the appropriate selection of…

Computation · Statistics 2023-06-22 Víctor Elvira , Emilie Chouzenoux , Ömer Deniz Akyildiz , Luca Martino

In some cases, computational benefit can be gained by exploring the hyper parameter space using a deterministic set of grid points instead of a Markov chain. We view this as a numerical integration problem and make three unique…

Computation · Statistics 2016-09-30 Chaitanya Joshi , Paul T. Brown , Stephen Joe

Which ads should we display in sponsored search in order to maximize our revenue? How should we dynamically rank information sources to maximize value of information? These applications exhibit strong diminishing returns: Selection of…

Machine Learning · Computer Science 2009-08-07 Daniel Golovin , Andreas Krause , Matthew Streeter