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A major limitation of clustering approaches is their lack of explainability: methods rarely provide insight into which features drive the grouping of similar observations. To address this limitation, we propose an ensemble-based clustering…

Machine Learning · Statistics 2026-03-23 Federico Maria Quetti , Elena Ballante , Silvia Figini , Paolo Giudici

We study the computational complexity of some explainable clustering problems in the framework proposed by [Dasgupta et al., ICML 2020], where explainability is achieved via axis-aligned decision trees. We consider the $k$-means,…

Machine Learning · Computer Science 2022-08-23 Eduardo Sany Laber

Overlapping clusters are common in models of many practical data-segmentation applications. Suppose we are given $n$ elements to be clustered into $k$ possibly overlapping clusters, and an oracle that can interactively answer queries of the…

Machine Learning · Computer Science 2019-10-29 Wasim Huleihel , Arya Mazumdar , Muriel Médard , Soumyabrata Pal

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

Data Structures and Algorithms · Computer Science 2015-12-01 Ka-Chun Wong

When predictive models are used to support complex and important decisions, the ability to explain a model's reasoning can increase trust, expose hidden biases, and reduce vulnerability to adversarial attacks. However, attempts at…

Machine Learning · Computer Science 2019-07-11 Dimitris Bertsimas , Arthur Delarue , Patrick Jaillet , Sebastien Martin

Much like admissibility is the key concept underlying preferred semantics, strong admissibility is the key concept underlying grounded semantics, as membership of a strongly admissible set is sufficient to show membership of the grounded…

Artificial Intelligence · Computer Science 2022-04-08 Martin Caminada , Sri Harikrishnan

Community detection in graphs is a problem that is likely to be relevant whenever network data appears, and consequently the problem has received much attention with many different methods and algorithms applied. However, many of these…

Combinatorics · Mathematics 2025-05-16 Vilhelm Agdur

Many text classification applications require models with satisfying performance as well as good interpretability. Traditional machine learning methods are easy to interpret but have low accuracies. The development of deep learning models…

Computation and Language · Computer Science 2020-06-02 Zhengyang Wang , Xia Hu , Shuiwang Ji

Over-approximating the reachable sets of dynamical systems is a fundamental problem in safety verification and robust control synthesis. The representation of these sets is a key factor that affects the computational complexity and the…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Taha Entesari , Mahyar Fazlyab

We consider the problem of explaining the predictions of an arbitrary blackbox model $f$: given query access to $f$ and an instance $x$, output a small set of $x$'s features that in conjunction essentially determines $f(x)$. We design an…

Machine Learning · Computer Science 2021-11-03 Guy Blanc , Jane Lange , Li-Yang Tan

Hierarchical clustering is a fundamental task often used to discover meaningful structures in data, such as phylogenetic trees, taxonomies of concepts, subtypes of cancer, and cascades of particle decays in particle physics. Typically…

Data Structures and Algorithms · Computer Science 2020-10-23 Craig S. Greenberg , Sebastian Macaluso , Nicholas Monath , Ji-Ah Lee , Patrick Flaherty , Kyle Cranmer , Andrew McGregor , Andrew McCallum

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Machine Learning · Computer Science 2023-03-02 Germán González-Almagro , Daniel Peralta , Eli De Poorter , José-Ramón Cano , Salvador García

$k$-means and $k$-median clustering are powerful unsupervised machine learning techniques. However, due to complicated dependences on all the features, it is challenging to interpret the resulting cluster assignments. Moshkovitz, Dasgupta,…

Data Structures and Algorithms · Computer Science 2021-12-17 Sayan Bandyapadhyay , Fedor V. Fomin , Petr A. Golovach , William Lochet , Nidhi Purohit , Kirill Simonov

We introduce a cluster evaluation technique called Tree Index. Our Tree Index algorithm aims at describing the structural information of the clustering rather than the quantitative format of cluster-quality indexes (where the representation…

Machine Learning · Computer Science 2020-03-25 A. H. Beg , Md Zahidul Islam , Vladimir Estivill-Castro

Traditionally it had been a problem that researchers did not have access to enough spatial data to answer pressing research questions or build compelling visualizations. Today, however, the problem is often that we have too much data.…

Machine Learning · Computer Science 2018-03-23 Geoff Boeing

Clustering with outliers is one of the most fundamental problems in Computer Science. Given a set $X$ of $n$ points and two integers $k$ and $m$, the clustering with outliers aims to exclude $m$ points from $X$ and partition the remaining…

Data Structures and Algorithms · Computer Science 2023-02-21 Akanksha Agrawal , Tanmay Inamdar , Saket Saurabh , Jie Xue

Many real world tasks such as reasoning and physical interaction require identification and manipulation of conceptual entities. A first step towards solving these tasks is the automated discovery of distributed symbol-like representations.…

Machine Learning · Computer Science 2017-11-07 Klaus Greff , Sjoerd van Steenkiste , Jürgen Schmidhuber

Social Networking Sites (SNS) are one of the most important ways of communication. In particular, microblogging sites are being used as analysis avenues due to their peculiarities (promptness, short texts...). There are countless researches…

Social and Information Networks · Computer Science 2022-06-28 Manuel Francisco , Juan Luis Castro

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. Unfortunately, the resulting submodular optimization…

Machine Learning · Computer Science 2015-04-23 Rafael da Ponte Barbosa , Alina Ene , Huy L. Nguyen , Justin Ward

Neurosymbolic artificial intelligence is a growing field of research aiming to combine neural network learning capabilities with the reasoning abilities of symbolic systems. Informed multi-label classification is a sub-field of…

Artificial Intelligence · Computer Science 2025-01-24 Arthur Ledaguenel , Céline Hudelot , Mostepha Khouadjia
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