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The estimation of categorical distributions under marginal constraints summarizing some sample from a population in the most-generalizable way is key for many machine-learning and data-driven approaches. We provide a parameter-agnostic…

High Energy Physics - Theory · Physics 2023-11-17 Orestis Loukas , Ho Ryun Chung

A $k$-modal probability distribution over the discrete domain $\{1,...,n\}$ is one whose histogram has at most $k$ "peaks" and "valleys." Such distributions are natural generalizations of monotone ($k=0$) and unimodal ($k=1$) probability…

Data Structures and Algorithms · Computer Science 2014-09-16 Constantinos Daskalakis , Ilias Diakonikolas , Rocco A. Servedio

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

Machine Learning · Statistics 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

Community detection is a fundamental problem in computational sciences with extensive applications in various fields. The most commonly used methods are the algorithms designed to maximize modularity over different partitions of the network…

Social and Information Networks · Computer Science 2023-06-27 Samin Aref , Mahdi Mostajabdaveh , Hriday Chheda

We consider the following problem in this paper: given a set of $n$ distributions, find the top-$m$ ones with the largest means. This problem is also called {\em top-$m$ arm identifications} in the literature of reinforcement learning, and…

Data Structures and Algorithms · Computer Science 2020-09-10 Nikolai Karpov , Qin Zhang , Yuan Zhou

We model the joint distribution of choice probabilities and decision times in binary choice tasks as the solution to a problem of optimal sequential sampling, where the agent is uncertain of the utility of each action and pays a constant…

Neurons and Cognition · Quantitative Biology 2015-05-14 Drew Fudenberg , Philipp Strack , Tomasz Strzalecki

Modularity-based algorithms used for community detection have been increasing in recent years. Modularity and its application have been generating controversy since some authors argue it is not a metric without disadvantages. It has been…

Social and Information Networks · Computer Science 2019-04-30 Rui Portocarrero Sarmento

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

Computation · Statistics 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

The problem and implications of community detection in networks have raised a huge attention, for its important applications in both natural and social sciences. A number of algorithms has been developed to solve this problem, addressing…

Social and Information Networks · Computer Science 2014-02-28 Cristian Bisconti , Angelo Corallo , Laura Fortunato , Antonio A. Gentile

Detecting communities in high-dimensional graphs can be achieved by applying random matrix theory where the adjacency matrix of the graph is modeled by a Stochastic Block Model (SBM). However, the SBM makes an unrealistic assumption that…

Signal Processing · Electrical Eng. & Systems 2023-12-08 Robert Malinas , Dogyoon Song , Alfred O. Hero

A community reveals the features and connections of its members that are different from those in other communities in a network. Detecting communities is of great significance in network analysis. Despite the classical spectral clustering…

Social and Information Networks · Computer Science 2022-04-21 Xing Su , Shan Xue , Fanzhen Liu , Jia Wu , Jian Yang , Chuan Zhou , Wenbin Hu , Cecile Paris , Surya Nepal , Di Jin , Quan Z. Sheng , Philip S. Yu

The label propagation algorithm (LPA) has been proved to be a fast and effective method for detecting communities in large complex networks. However, its performance is subject to the non-stable and trivial solutions of the problem. In this…

Physics and Society · Physics 2016-12-15 Jihui Han , Wei Li , Zhu Su , Longfeng Zhao , Weibing Deng

Discovering communities in complex networks means grouping nodes similar to each other, to uncover latent information about them. There are hundreds of different algorithms to solve the community detection task, each with its own…

Social and Information Networks · Computer Science 2019-07-05 Michele Coscia

Communities play a crucial role to describe and analyse modern networks. However, the size of those networks has grown tremendously with the increase of computational power and data storage. While various methods have been developed to…

Physics and Society · Physics 2013-08-30 Arnaud Browet , P. -A. Absil , Paul Van Dooren

As autonomous agents powered by LLM are increasingly deployed in society, understanding their collective behaviour in social dilemmas becomes critical. We introduce an evaluation framework where LLMs generate strategies encoded as…

Multiagent Systems · Computer Science 2026-02-19 Richard Willis , Jianing Zhao , Yali Du , Joel Z. Leibo

Arguably, the most fundamental problem in Network Science is finding structure within a complex network. One approach is to partition the nodes into communities that are more densely connected than one expects in a random network. "The"…

Computational Physics · Physics 2024-11-06 Tania Ghosh , R. K. P. Zia , Kevin E. Bassler

This paper addresses the problem of distributed learning of average belief with sequential observations, in which a network of $n>1$ agents aim to reach a consensus on the average value of their beliefs, by exchanging information only with…

Multiagent Systems · Computer Science 2018-11-20 Kaiqing Zhang , Yang Liu , Ji Liu , Mingyan Liu , Tamer Başar

Consider $K$ processes, each generating a sequence of identical and independent random variables. The probability measures of these processes have random parameters that must be estimated. Specifically, they share a parameter $\theta$…

Machine Learning · Computer Science 2022-10-12 Arpan Mukherjee , Ali Tajer , Pin-Yu Chen , Payel Das

In this paper we define and investigate the problem of \emph{persona authentication}: learning a conversational policy to verify the consistency of persona models. We propose a learning objective and prove (under some mild assumptions) that…

Computation and Language · Computer Science 2021-10-26 Fengyi Tang , Lifan Zeng , Fei Wang , Jiayu Zhou

Agglomerative clustering is a well established strategy for identifying communities in networks. Communities are successively merged into larger communities, coarsening a network of actors into a more manageable network of communities. The…

Physics and Society · Physics 2014-01-16 Michael J. Barber