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In this paper we introduce a class of operators on complete lattices called Dynamic Ordered Weighted Averaging (DYOWA) functions. These functions provide a generalized form of an important class of aggregation functions: The Ordered…

In agglomerative hierarchical clustering, pair-group methods suffer from a problem of non-uniqueness when two or more distances between different clusters coincide during the amalgamation process. The traditional approach for solving this…

Information Retrieval · Computer Science 2009-06-10 Alberto Fernandez , Sergio Gomez

The Ordered Weighted Averaging (OWA) operator is a traditional and commonly used criterion for aggregating discrete values of uncertain quantities. In this paper, it is shown that the discrete OWA naturally extends to the continuous case by…

Optimization and Control · Mathematics 2026-02-03 Werner Baak , Marc Goerigk , Adam Kasperski , Paweł Zieliński

Clustering techniques create hierarchal network structures, called clusters, on an otherwise flat network. In a dynamic environment-in terms of node mobility as well as in terms of steadily changing device parameters-the clusterhead…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-06-11 Matthias R. Brust , Adrian Andronache , Steffen Rothkugel

Cluster-Weighted Modeling (CWM) is a flexible mixture approach for modeling the joint probability of data coming from a heterogeneous population as a weighted sum of the products of marginal distributions and conditional distributions. In…

Methodology · Statistics 2012-12-20 Salvatore Ingrassia , Simona C. Minotti , Antonio Punzo , Giorgio Vittadini

We propose a flexible framework for clustering hypergraph-structured data based on recently proposed random walks utilizing edge-dependent vertex weights. When incorporating edge-dependent vertex weights (EDVW), a weight is associated with…

Machine Learning · Computer Science 2020-10-28 Koby Hayashi , Sinan G. Aksoy , Cheong Hee Park , Haesun Park

An important issue in clustering concerns the avoidance of false positives while searching for clusters. This work addressed this problem considering agglomerative methods, namely single, average, median, complete, centroid and Ward's…

Machine Learning · Computer Science 2020-06-30 Eric K. Tokuda , Cesar H. Comin , Luciano da F. Costa

The cluster-weighted model (CWM) is a mixture model with random covariates which allows for flexible clustering and density estimation of a random vector composed by a response variable and by a set of covariates. In this class of models,…

Methodology · Statistics 2013-08-06 Salvatore Ingrassia , Antonio Punzo

This paper presents algorithms for hierarchical, agglomerative clustering which perform most efficiently in the general-purpose setup that is given in modern standard software. Requirements are: (1) the input data is given by pairwise…

Machine Learning · Statistics 2011-09-13 Daniel Müllner

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

Spatial pooling is an important step in computer vision systems like Convolutional Neural Networks or the Bag-of-Words method. The spatial pooling purpose is to combine neighbouring descriptors to obtain a single descriptor for a given…

Computer Vision and Pattern Recognition · Computer Science 2021-06-11 J. I. Forcen , Miguel Pagola , Edurne Barrenechea , Humberto Bustince

While there has been much interest in adapting conventional clustering procedures---and in higher dimensions, persistent homology methods---to directed networks, little is known about the convergence of such methods. In order to even…

Computational Geometry · Computer Science 2022-12-20 Samir Chowdhury , Facundo Mémoli

Weights and directionality of the edges carry a large part of the information we can extract from a complex network. However, many network measures were formulated initially for undirected binary networks. The necessity to incorporate…

Social and Information Networks · Computer Science 2021-08-31 Tanguy Fardet , Anna Levina

Online learning updates models incrementally with new data, avoiding large storage requirements and costly model recalculations. In this paper, we introduce "OLR-WA; OnLine Regression with Weighted Average", a novel and versatile…

Machine Learning · Computer Science 2025-12-18 Mohammad Abu-Shaira , Alejandro Rodriguez , Greg Speegle , Victor Sheng , Ishfaq Ahmad

In the context of multicriteria decision making, the ordered weighted averaging (OWA) functions play a crucial role in aggregating multiple criteria evaluations into an overall assessment supporting the decision makers' choice. Determining…

Artificial Intelligence · Computer Science 2018-04-19 Thuy Hong Nguyen

The ordered weighted $\ell_1$ norm (OWL) was recently proposed, with two different motivations: its good statistical properties as a sparsity promoting regularizer; the fact that it generalizes the so-called {\it octagonal shrinkage and…

Data Structures and Algorithms · Computer Science 2015-04-13 Xiangrong Zeng , Mário A. T. Figueiredo

Machine Learning requires a large amount of training data in order to build accurate models. Sometimes the data arrives over time, requiring significant storage space and recalculating the model to account for the new data. On-line learning…

Machine Learning · Computer Science 2023-07-07 Mohammad Abu-Shaira , Greg Speegle

The inclusion of link weights into the analysis of network properties allows a deeper insight into the (often overlapping) modular structure of real-world webs. We introduce a clustering algorithm (CPMw, Clique Percolation Method with…

Statistical Mechanics · Physics 2007-07-18 Illes J. Farkas , Daniel Abel , Gergely Palla , Tamas Vicsek

When units in observational studies are clustered in groups, such as students in schools or patients in hospitals, researchers often address confounding by adjusting for cluster-level covariates or cluster membership. In this paper, we…

Methodology · Statistics 2026-02-06 Eli Ben-Michael , Avi Feller , Luke Keele

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka
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