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Correlation clustering is a widely studied framework for clustering based on pairwise similarity and dissimilarity scores, but its best approximation algorithms rely on impractical linear programming relaxations. We present faster…

Data Structures and Algorithms · Computer Science 2022-06-27 Nate Veldt

In order to learn quickly with few samples, meta-learning utilizes prior knowledge learned from previous tasks. However, a critical challenge in meta-learning is task uncertainty and heterogeneity, which can not be handled via globally…

Machine Learning · Computer Science 2019-11-19 Huaxiu Yao , Ying Wei , Junzhou Huang , Zhenhui Li

Data clustering, the task of grouping observations according to their similarity, is a key component of unsupervised learning -- with real world applications in diverse fields such as biology, medicine, and social science. Often in these…

Machine Learning · Computer Science 2023-09-20 Anne Sophie Riis Damstrup , Sofie Tosti Madsen , Michele Coscia

State-of-the-art clustering algorithms use heuristics to partition the feature space and provide little insight into the rationale for cluster membership, limiting their interpretability. In healthcare applications, the latter poses a…

Machine Learning · Statistics 2018-12-04 Dimitris Bertsimas , Agni Orfanoudaki , Holly Wiberg

We consider the problem of simultaneously clustering and learning a linear representation of data lying close to a union of low-dimensional manifolds, a fundamental task in machine learning and computer vision. When the manifolds are…

Machine Learning · Computer Science 2023-08-25 Tianjiao Ding , Shengbang Tong , Kwan Ho Ryan Chan , Xili Dai , Yi Ma , Benjamin D. Haeffele

Subspace clustering is an important unsupervised clustering approach. It is based on the assumption that the high-dimensional data points are approximately distributed around several low-dimensional linear subspaces. The majority of the…

Machine Learning · Computer Science 2021-12-20 Maryam Abdolali , Nicolas Gillis

Clustering is often used for discovering structure in data. Clustering systems differ in the objective function used to evaluate clustering quality and the control strategy used to search the space of clusterings. Ideally, the search…

Artificial Intelligence · Computer Science 2014-11-17 D. Fisher

In supervised deep learning, learning good representations for remote--sensing images (RSI) relies on manual annotations. However, in the area of remote sensing, it is hard to obtain huge amounts of labeled data. Recently, self--supervised…

Machine Learning · Computer Science 2022-09-27 Qinglin Li , Bin Li , Jonathan M Garibaldi , Guoping Qiu

A promising direction in deep learning research consists in learning representations and simultaneously discovering cluster structure in unlabeled data by optimizing a discriminative loss function. As opposed to supervised deep learning,…

Hierarchical data representations in the context of classi cation and data clustering were put forward during the fties. Recently, hierarchical image representations have gained renewed interest for segmentation purposes. In this paper, we…

Discrete Mathematics · Computer Science 2012-09-19 Pierre Soille , Laurent Najman

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

Data Structures and Algorithms · Computer Science 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

Clustering methods are a valuable tool for the identification of patterns in high dimensional data with applications in many scientific problems. However, quantifying uncertainty in clustering is a challenging problem, particularly when…

Methodology · Statistics 2018-06-01 Marcio Valk , Gabriela Bettella Cybis

Deep clustering has been dominated by flat models, which split a dataset into a predefined number of groups. Although recent methods achieve an extremely high similarity with the ground truth on popular benchmarks, the information contained…

Machine Learning · Computer Science 2023-06-22 Michał Znaleźniak , Przemysław Rola , Patryk Kaszuba , Jacek Tabor , Marek Śmieja

In this paper we offer a new perspective on the well established agglomerative clustering algorithm, focusing on recovery of hierarchical structure. We recommend a simple variant of the standard algorithm, in which clusters are merged by…

Machine Learning · Statistics 2024-03-04 Annie Gray , Alexander Modell , Patrick Rubin-Delanchy , Nick Whiteley

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

Machine Learning · Computer Science 2019-01-30 Nicolas Tremblay , Andreas Loukas

We propose a nearest neighbor based clustering algorithm that results in a naturally defined hierarchy of clusters. In contrast to the agglomerative and divisive hierarchical clustering algorithms, our approach is not dependent on the…

Data Structures and Algorithms · Computer Science 2022-03-16 Kaan Gokcesu , Hakan Gokcesu

Compression-based dissimilarities (CD) offer a flexible and domain-agnostic means of measuring similarity by identifying implicit information through redundancies between data objects. However, as similarity features are derived from the…

Machine Learning · Computer Science 2026-05-13 Guillermo Sarasa , Ana Granados , Francisco de Borja Rodríguez

Subspace clustering is an unsupervised clustering technique designed to cluster data that is supported on a union of linear subspaces, with each subspace defining a cluster with dimension lower than the ambient space. Many existing…

Machine Learning · Computer Science 2021-03-23 Benjamin D. Haeffele , Chong You , René Vidal

This paper introduces hierarchical quasi-clustering methods, a generalization of hierarchical clustering for asymmetric networks where the output structure preserves the asymmetry of the input data. We show that this output structure is…

Machine Learning · Computer Science 2014-04-21 Gunnar Carlsson , Facundo Mémoli , Alejandro Ribeiro , Santiago Segarra

Clustering is a fundamental task in unsupervised learning. The focus of this paper is the Correlation Clustering functional which combines positive and negative affinities between the data points. The contribution of this paper is two fold:…

Computer Vision and Pattern Recognition · Computer Science 2011-12-14 Shai Bagon , Meirav Galun