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Clustering consists of partitioning data objects into subsets called clusters according to some similarity criteria. This paper addresses a generalization called quasi-clustering that allows overlapping of clusters, and which we link to…

Artificial Intelligence · Computer Science 2020-02-13 Fred Glover , Said Hanafi , Gintaras Palubeckis

Self-assembly of complex and functional materials remains a grand challenge in soft material science. Efficient assembly depends on a delicate balance between thermodynamic and kinetic effects, requiring fine-tuning affinities and…

Soft Condensed Matter · Physics 2024-11-14 Wei-Shao Wei , Anthony Trubiano , Christian Sigl , Stefan Paquay , Hendrik Dietz , Michael F. Hagan , Seth Fraden

Clustering is an important part of many modern data analysis pipelines, including network analysis and data retrieval. There are many different clustering algorithms developed by various communities, and it is often not clear which…

Machine Learning · Computer Science 2019-10-04 Maria-Florina Balcan , Travis Dick , Manuel Lang

Deep learning has made significant progress in protein structure prediction, advancing the development of computational biology. However, despite the high accuracy achieved in predicting single-chain structures, a significant number of…

Biomolecules · Quantitative Biology 2024-03-08 Zhaoqun Li , Jingcheng Yu , Qiwei Ye

Phylogenetic trees canonically arise as embeddings of phylogenetic networks. We recently showed that the problem of deciding if two phylogenetic networks embed the same sets of phylogenetic trees is computationally hard, \blue{in…

Combinatorics · Mathematics 2021-04-13 Janosch Doecker , Simone Linz , Charles Semple

The paper outlines the principles of construction of a broad class of hierarchical aggregation algorithms of cluster analysis, essentially based on minimum distance mergers, which are derived from the general bi-partial objective function.…

Other Statistics · Statistics 2026-02-25 Jan W. Owsiński

The problem of hierarchical clustering items from pairwise similarities is found across various scientific disciplines, from biology to networking. Often, applications of clustering techniques are limited by the cost of obtaining…

Machine Learning · Statistics 2012-07-20 Brian Eriksson

An inherently parallel algorithm is proposed that efficiently performs selection: finding the K-th largest member of a set of N members. Selection is a common component of many more complex algorithms and therefore is a widely studied…

Data Structures and Algorithms · Computer Science 2007-06-15 Greg Sepesi

Clustering may be the most fundamental problem in unsupervised learning which is still active in machine learning research because its importance in many applications. Popular methods like K-means, may suffer from instability as they are…

Optimization and Control · Mathematics 2018-02-21 Yancheng Yuan , Defeng Sun , Kim-Chuan Toh

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

Machine Learning · Statistics 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

We study the problem of image alignment for panoramic stitching. Unlike most existing approaches that are feature-based, our algorithm works on pixels directly, and accounts for errors across the whole images globally. Technically, we…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Yuelong Li , Mohammad Tofighi , Vishal Monga

Spectral clustering is a popular method for community detection in network graphs: starting from a matrix representation of the graph, the nodes are clustered on a low dimensional projection obtained from a truncated spectral decomposition…

Machine Learning · Statistics 2022-08-10 Francesco Sanna Passino , Nicholas A. Heard , Patrick Rubin-Delanchy

Contention resolution schemes have proven to be an incredibly powerful concept which allows to tackle a broad class of problems. The framework has been initially designed to handle submodular optimization under various types of constraints,…

Data Structures and Algorithms · Computer Science 2018-11-27 Marek Adamczyk , Michał Włodarczyk

The method of Hol\'y, Sokol and \v{C}ern\'y (Applied Soft Computing, 2017, Vol. 60, p. 752-762) clusters objects based on their incidence in a large number of given sets. The idea is to minimize the occurrence of multiple objects from the…

Artificial Intelligence · Computer Science 2021-02-03 Ondřej Sokol , Vladimír Holý

The main objective of this paper is to solve the optimization problem that is associated with the classification of DNA samples in PCR plates for Sanger sequencing. To achieve this goal, we design an integer linear programming model. Given…

Data Structures and Algorithms · Computer Science 2024-01-23 Luisa Carpente , Ana Cerdeira-Pena , Silvia Lorenzo-Freire , Ángeles S. Places

Bytewise approximate matching algorithms have in recent years shown significant promise in de- tecting files that are similar at the byte level. This is very useful for digital forensic investigators, who are regularly faced with the…

Cryptography and Security · Computer Science 2022-11-15 David Lillis , Frank Breitinger , Mark Scanlon

Assembling genomic sequences from a set of overlapping reads is one of the most fundamental problems in computational biology. Algorithms addressing the assembly problem fall into two broad categories -- based on the data structures which…

Data Structures and Algorithms · Computer Science 2010-03-10 Vamsi Kundeti , Sanguthevar Rajasekaran , Hieu Dinh

Technologies for sequencing (reading) and synthesizing (writing) DNA have progressed on a Moore's law-like trajectory over the last three decades. This has motivated the idea of using DNA for data storage. Theoretically, DNA-based storage…

Emerging Technologies · Computer Science 2023-07-07 Ajay Manicka , Andrew Stephan , Sriram Chari , Gemma Mendonsa , Peyton Okubo , John Stolzberg-Schray , Anil Reddy , Marc Riedel

Real-world networks often come with side information that can help to improve the performance of network analysis tasks such as clustering. Despite a large number of empirical and theoretical studies conducted on network clustering methods…

Machine Learning · Statistics 2022-07-29 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

We address the problem of recovering multiple structures of different classes in a dataset contaminated by noise and outliers. In particular, we consider geometric structures defined by a mixture of underlying parametric models (e.g. planes…

Machine Learning · Computer Science 2025-05-19 Luca Magri , Filippo Leveni , Giacomo Boracchi