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Determining the number of clusters is a central challenge in unsupervised learning, where ground-truth labels are unavailable. The Silhouette coefficient is a widely used internal validation metric for this task, yet its standard…

Machine Learning · Computer Science 2026-04-16 Aggelos Semoglou , Aristidis Likas , John Pavlopoulos

We consider the problem of identifying a maximum clique in a given graph. We have proposed a mathematical model for this problem. The model resembles the matrix decomposition of the adjacency matrix of a given graph. The objective function…

Optimization and Control · Mathematics 2023-07-19 Salma Omer , Montaz Ali

Complex systems show the capacity to aggregate information and to display coordinated activity. In the case of social systems the interaction of different individuals leads to the emergence of norms, trends in political positions, opinions,…

Physics and Society · Physics 2016-04-25 Toni Pérez , Jordi Zamora , Víctor M. Eguíluz

Ensembles of machine learning models yield improved system performance as well as robust and interpretable uncertainty estimates; however, their inference costs may often be prohibitively high. \emph{Ensemble Distribution Distillation} is…

Machine Learning · Computer Science 2021-05-17 Max Ryabinin , Andrey Malinin , Mark Gales

Truncated convex models (TCM) are a special case of pairwise random fields that have been widely used in computer vision. However, by restricting the order of the potentials to be at most two, they fail to capture useful image statistics.…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Pankaj Pansari , M. Pawan Kumar

With the increased interest in machine learning and big data problems, the need for large amounts of labelled data has also grown. However, it is often infeasible to get experts to label all of this data, which leads many practitioners to…

Machine Learning · Computer Science 2021-05-31 Pierce Burke , Richard Klein

We study the matrix completion problem that leverages hierarchical similarity graphs as side information in the context of recommender systems. Under a hierarchical stochastic block model that well respects practically-relevant social…

Information Theory · Computer Science 2021-09-14 Junhyung Ahn , Adel Elmahdy , Soheil Mohajer , Changho Suh

Behavioral experiments on humans and animals suggest that the brain performs probabilistic inference to interpret its environment. Here we present a new general-purpose, biologically-plausible neural implementation of approximate inference.…

Neurons and Cognition · Quantitative Biology 2016-05-24 Rajkumar Vasudeva Raju , Xaq Pitkow

Algorithms for community detection are usually stochastic, leading to different partitions for different choices of random seeds. Consensus clustering has proven to be an effective technique to derive more stable and accurate partitions…

Physics and Society · Physics 2019-04-23 Aditya Tandon , Aiiad Albeshri , Vijey Thayananthan , Wadee Alhalabi , Santo Fortunato

Constraint Programming (CP) has been successfully used to model and solve complex combinatorial problems. However, modeling is often not trivial and requires expertise, which is a bottleneck to wider adoption. In Constraint Acquisition…

Artificial Intelligence · Computer Science 2023-12-19 Dimos Tsouros , Senne Berden , Tias Guns

Clustering (or community detection) on multilayer graphs poses several additional complications with respect to standard graphs as different layers may be characterized by different structures and types of information. One of the major…

Machine Learning · Computer Science 2023-06-02 Sara Venturini , Andrea Cristofari , Francesco Rinaldi , Francesco Tudisco

Ensemble Learning methods combine multiple algorithms performing the same task to build a group with superior quality. These systems are well adapted to the distributed setup, where each peer or machine of the network hosts one algorithm…

Machine Learning · Computer Science 2021-10-19 Gaëlle Candel , David Naccache

Classic results establish that encouraging predictive diversity improves performance in ensembles of low-capacity models, e.g. through bagging or boosting. Here we demonstrate that these intuitions do not apply to high-capacity neural…

Machine Learning · Computer Science 2024-01-11 Taiga Abe , E. Kelly Buchanan , Geoff Pleiss , John P. Cunningham

We show that the `optimal' use of the parallel composition theorem corresponds to finding the size of the largest subset of queries that `overlap' on the data domain, a quantity we call the \emph{maximum overlap} of the queries. It has…

Cryptography and Security · Computer Science 2021-09-21 Josh Smith , Hassan Jameel Asghar , Gianpaolo Gioiosa , Sirine Mrabet , Serge Gaspers , Paul Tyler

Many algorithms have been proposed for detecting disjoint communities (relatively densely connected subgraphs) in networks. One popular technique is to optimize modularity, a measure of the quality of a partition in terms of the number of…

Physics and Society · Physics 2012-02-03 Bowen Yan , Steve Gregory

Collaborations among various entities, such as companies, research labs, AI agents, and edge devices, have become increasingly crucial for achieving machine learning tasks that cannot be accomplished by a single entity alone. This is likely…

Machine Learning · Computer Science 2023-05-29 Xinran Wang , Qi Le , Ahmad Faraz Khan , Jie Ding , Ali Anwar

Deep clustering which adopts deep neural networks to obtain optimal representations for clustering has been widely studied recently. In this paper, we propose a novel deep image clustering framework to learn a category-style latent…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Junjie Zhao , Donghuan Lu , Kai Ma , Yu Zhang , Yefeng Zheng

Generalized belief propagation (GBP) has proven to be a promising technique for approximate inference tasks in AI and machine learning. However, the choice of a good set of clusters to be used in GBP has remained more of an art then a…

Artificial Intelligence · Computer Science 2012-07-19 Max Welling

With the rapid development of online social media, online shopping sites and cyber-physical systems, heterogeneous information networks have become increasingly popular and content-rich over time. In many cases, such networks contain…

Databases · Computer Science 2012-02-01 Yizhou Sun , Charu C. Aggarwal , Jiawei Han

Especially in lattice structured populations, homogeneous mixing represents an inadequate assumption. Various improvements upon the ordinary pair approximation based on a number of assumptions concerning the higher-order correlations have…

Populations and Evolution · Quantitative Biology 2007-05-23 Thomas Petermann , Paolo De Los Rios
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