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In this work we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connected graphs by using direct analogue of the corresponding…

Numerical Analysis · Mathematics 2022-11-30 Farid Bozorgnia , Morteza Fotouhi , Avetik Arakelyan , Abderrahim Elmoataz

Pearson's Chi-squared test, though widely used for detecting association between categorical variables, exhibits low statistical power in large sparse contingency tables. To address this limitation, two novel permutation tests have been…

Methodology · Statistics 2024-03-27 Qingyang Zhang

The delimitation of biological species, i.e., deciding which individuals belong to the same species and whether and how many different species are represented in a data set, is key to the conservation of biodiversity. Much existing work…

Populations and Evolution · Quantitative Biology 2025-12-15 Gabriele d'Angella , Christian Hennig

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

Machine Learning · Statistics 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

The proliferation of sensor devices monitoring human activity generates voluminous amount of temporal sequences needing to be interpreted and categorized. Moreover, complex behavior detection requires the personalization of multi-sensor…

Machine Learning · Computer Science 2016-02-08 Myriam Abramson

Conditional independence testing is a fundamental problem underlying causal discovery and a particularly challenging task in the presence of nonlinear and high-dimensional dependencies. Here a fully non-parametric test for continuous data…

Machine Learning · Statistics 2017-09-06 Jakob Runge

The phenomenon of residential segregation was captured by Schelling's famous segregation model where two types of agents are placed on a grid and an agent is content with her location if the fraction of her neighbors which have the same…

Computer Science and Game Theory · Computer Science 2019-07-18 Hagen Echzell , Tobias Friedrich , Pascal Lenzner , Louise Molitor , Marcus Pappik , Friedrich Schöne , Fabian Sommer , David Stangl

Deciphering the associations between network connectivity and nodal attributes is one of the core problems in network science. The dependency structure and high-dimensionality of networks pose unique challenges to traditional dependency…

Methodology · Statistics 2024-06-27 Youjin Lee , Cencheng Shen , Carey E. Priebe , Joshua T. Vogelstein

In C-tests the hypothesis of items local independence is violated, which doesn't permit to consider them as real tests. It is suggested to determine the distances between separate C-test items (blanks) and to combine items into clusters.…

Computers and Society · Computer Science 2007-10-18 Tretjakova Tamara

This paper concerns open-world classification, where the classifier not only needs to classify test examples into seen classes that have appeared in training but also reject examples from unseen or novel classes that have not appeared in…

Machine Learning · Computer Science 2018-01-18 Lei Shu , Hu Xu , Bing Liu

This paper investigates the problem of testing independence of two random vectors of general dimensions. For this, we give for the first time a distribution-free consistent test. Our approach combines distance covariance with the…

Statistics Theory · Mathematics 2020-06-11 Hongjian Shi , Mathias Drton , Fang Han

In this paper we propose a measure of clustering quality or accuracy that is appropriate in situations where it is desirable to evaluate a clustering algorithm by somehow comparing the clusters it produces with ``ground truth' consisting of…

Machine Learning · Computer Science 2013-01-07 Byron E Dom

The goal of spatial-configuration-based classification is to build a classifier to distinguish two classes (e.g., responder, non-responder) based on the spatial arrangements (e.g., spatial interactions between different point categories)…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Majid Farhadloo , Carl Molnar , Gaoxiang Luo , Yan Li , Shashi Shekhar , Rachel L. Maus , Svetomir N. Markovic , Raymond Moore , Alexey Leontovich

Understanding causal relationships between variables is a fundamental problem with broad impact in numerous scientific fields. While extensive research has been dedicated to learning causal graphs from data, its complementary concept of…

Machine Learning · Computer Science 2024-03-12 Jiaqi Zhang , Kirankumar Shiragur , Caroline Uhler

Existing self-supervised learning (SSL) methods primarily learn object-invariant representations but often neglect the spatial structure and relationships among object parts. To address this limitation, we introduce Spatial Prediction (SP),…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Yang Shen , Yusen Cai , Weronika Hryniewska-Guzik , Qing Lin , Mengmi Zhang

In many networks such as transportation or communication networks, distance is certainly a relevant parameter. In addition, real-world examples suggest that when long-range links are existing, they usually connect to hubs-the well connected…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Barthelemy

Building robust and real-time classifiers with diverse datasets are one of the most significant challenges to deep learning researchers. It is because there is a considerable gap between a model built with training (seen) data and real…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Mayanka Chandrashekar , Yugyung Lee

Ensembles of Convolutional neural networks have shown remarkable results in learning discriminative semantic features for image classification tasks. Though, the models in the ensemble often concentrate on similar regions in images. This…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Tobias Schlagenhauf , Yiwen Lin , Benjamin Noack

We introduce the Neural Collaborative Subspace Clustering, a neural model that discovers clusters of data points drawn from a union of low-dimensional subspaces. In contrast to previous attempts, our model runs without the aid of spectral…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Tong Zhang , Pan Ji , Mehrtash Harandi , Wenbing Huang , Hongdong Li

This paper introduces the notion of Constrained Locating Arrays (CLAs), mathematical objects which can be used for fault localization in software testing. CLAs extend ordinary locating arrays to make them applicable to testing of systems…

Software Engineering · Computer Science 2019-06-03 Hao Jin , Tatsuhiro Tsuchiya
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