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We introduce two different approaches for clustering semantically similar words. We accommodate ambiguity by allowing a word to belong to several clusters. Both methods use a graph-theoretic representation of words and their paradigmatic…

Other Condensed Matter · Physics 2009-09-29 Beate Dorow , Dominic Widdows , Katarina Ling , Jean-Pierre Eckmann , Danilo Sergi , Elisha Moses

Datalog is one of the best-known rule-based languages, and extensions of it are used in a wide context of applications. An important Datalog extension is Disjunctive Datalog, which significantly increases the expressivity of the basic…

Artificial Intelligence · Computer Science 2012-10-09 Mario Alviano , Wolfgang Faber , Nicola Leone , Marco Manna

Traditional clustering methods aim to group unlabeled data points based on their similarity to each other. However, clustering, in the absence of additional information, is an ill-posed problem as there may be many different, yet equally…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Bingchen Zhao , Oisin Mac Aodha

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

In this paper, we address an issue of finding explainable clusters of class-uniform data in labelled datasets. The issue falls into the domain of interpretable supervised clustering. Unlike traditional clustering, supervised clustering aims…

Machine Learning · Computer Science 2023-07-18 Natallia Kokash , Leonid Makhnist

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

Physics and Society · Physics 2012-03-29 Andrea Lancichinetti , Santo Fortunato

An approach to improve network interpretability is via clusterability, i.e., splitting a model into disjoint clusters that can be studied independently. We find pretrained models to be highly unclusterable and thus train models to be more…

Machine Learning · Computer Science 2025-07-29 Satvik Golechha , Dylan Cope , Nandi Schoots

Clustering is an unsupervised technique for grouping data points by similarity. While explainability methods exist for supervised machine learning, they are not directly applicable to clustering, making it challenging to understand cluster…

Machine Learning · Computer Science 2026-05-29 Pernille Matthews , Lena Krieger , Tommaso Amico , Artur Zimek , Thomas Seidl , Ira Assent

Linear algebra computations are foundational for neural networks and machine learning, often handled through arrays. While many functional programming languages feature lists and recursion, arrays in linear algebra demand constant-time…

Programming Languages · Computer Science 2024-05-29 David Richter , Timon Böhler , Pascal Weisenburger , Mira Mezini

Mainstream methods for Legal Judgment Prediction (LJP) based on Pre-trained Language Models (PLMs) heavily rely on the statistical correlation between case facts and judgment results. This paradigm lacks explicit modeling of legal…

Computation and Language · Computer Science 2026-03-13 Yuzhi Liang , Lixiang Ma , Xinrong Zhu

Clustering data objects into homogeneous groups is one of the most important tasks in data mining. Spectral clustering is arguably one of the most important algorithms for clustering, as it is appealing for its theoretical soundness and is…

Machine Learning · Statistics 2024-03-12 Dylan Soemitro , Jeova Farias Sales Rocha Neto

Post-hoc explanations of machine learning models are crucial for people to understand and act on algorithmic predictions. An intriguing class of explanations is through counterfactuals, hypothetical examples that show people how to obtain a…

Machine Learning · Computer Science 2019-12-09 Ramaravind Kommiya Mothilal , Amit Sharma , Chenhao Tan

We describe a framework for encoding cluster combinatorics using categorical methods. We give a definition of an abstract cluster structure, which captures the essence of cluster mutation at a tropical level and show that cluster algebras,…

Rings and Algebras · Mathematics 2025-10-06 Jan E. Grabowski , Sira Gratz

We present CLEAR, a method for learning session-specific causal graphs, in the possible presence of latent confounders, from attention in pre-trained attention-based recommenders. These causal graphs describe user behavior, within the…

Information Retrieval · Computer Science 2022-10-20 Shami Nisimov , Raanan Y. Rohekar , Yaniv Gurwicz , Guy Koren , Gal Novik

There have been several post-hoc explanation approaches developed to explain pre-trained black-box neural networks. However, there is still a gap in research efforts toward designing neural networks that are inherently explainable. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Subash Khanal , Benjamin Brodie , Xin Xing , Ai-Ling Lin , Nathan Jacobs

Pattern discovery in multidimensional data sets has been the subject of research for decades. There exists a wide spectrum of clustering algorithms that can be used for this purpose. However, their practical applications share a common…

Artificial Intelligence · Computer Science 2022-11-28 Szymon Bobek , Michał Kuk , Jakub Brzegowski , Edyta Brzychczy , Grzegorz J. Nalepa

Modern learning algorithms excel at producing accurate but complex models of the data. However, deploying such models in the real-world requires extra care: we must ensure their reliability, robustness, and absence of undesired biases. This…

Machine Learning · Computer Science 2020-09-10 Maruan Al-Shedivat , Avinava Dubey , Eric P. Xing

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

Comparing clusterings is central to evaluating unsupervised models, yet the many existing similarity measures can produce widely divergent, sometimes contradictory, evaluations. Clustering similarity measures are typically organized into…

Machine Learning · Statistics 2025-11-06 Alexander J. Gates

In the last years many studies examined the consistency of students' answers in a variety of contexts. Some of these papers tried to develop more detailed models of the consistency of students' reasoning, or to subdivide a sample of…

Physics Education · Physics 2017-08-17 Onofrio Rosario Battaglia , Benedetto Di Paola , Claudio Fazio
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