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The problem of classification in machine learning has often been approached in terms of function approximation. In this paper, we propose an alternative approach for classification in arbitrary compact metric spaces which, in theory, yields…

Machine Learning · Computer Science 2026-03-26 H. N. Mhaskar , Ryan O'Dowd

We study the statistical complexity of estimating partition functions given sample access to a proposal distribution and an unnormalized density ratio for a target distribution. While partition function estimation is a classical problem,…

Machine Learning · Statistics 2026-03-02 Adam Block , Abhishek Shetty

The likelihood ratio is a crucial quantity for statistical inference in science that enables hypothesis testing, construction of confidence intervals, reweighting of distributions, and more. Many modern scientific applications, however,…

High Energy Physics - Phenomenology · Physics 2024-12-11 Shahzar Rizvi , Mariel Pettee , Benjamin Nachman

Despite their empirical success, neural network classifiers remain difficult to interpret. In softmax-based models, class regions are defined implicitly as solutions to systems of inequalities among logits, making them difficult to extract…

Machine Learning · Computer Science 2026-05-26 Akram Aldroubi

This survey describes probabilistic algorithms for linear algebra computations, such as factorizing matrices and solving linear systems. It focuses on techniques that have a proven track record for real-world problem instances. The paper…

Numerical Analysis · Mathematics 2021-03-17 Per-Gunnar Martinsson , Joel Tropp

The vast majority of real world classification problems are imbalanced, meaning there are far fewer data from the class of interest (the positive class) than from other classes. We propose two machine learning algorithms to handle highly…

Machine Learning · Statistics 2014-06-10 Siong Thye Goh , Cynthia Rudin

Detection of curvilinear structures in images has long been of interest. One of the most challenging aspects of this problem is inferring the graph representation of the curvilinear network. Most existing delineation approaches first…

Computer Vision and Pattern Recognition · Computer Science 2019-05-13 Agata Mosinska , Mateusz Kozinski , Pascal Fua

We propose a similarity-based method, using the similarity between nodes, to address the problem of classification in partially labeled networks. The basic assumption is that two nodes are more likely to be categorized into the same class…

Data Analysis, Statistics and Probability · Physics 2010-10-05 Qian-Ming Zhang , Ming-Sheng Shang , Linyuan Lu

Graph similarity computation aims to predict a similarity score between one pair of graphs to facilitate downstream applications, such as finding the most similar chemical compounds similar to a query compound or Fewshot 3D Action…

Machine Learning · Computer Science 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

It has been argued that in supervised classification tasks, in practice it may be more sensible to perform model selection with respect to some more focused model selection score, like the supervised (conditional) marginal likelihood, than…

Machine Learning · Computer Science 2013-01-14 Petri Kontkanen , Petri Myllymaki , Henry Tirri

Estimating the Lipschitz constant of deep neural networks is of growing interest as it is useful for informing on generalisability and adversarial robustness. Convolutional neural networks (CNNs) in particular, underpin much of the recent…

Machine Learning · Computer Science 2024-08-08 Yusuf Sulehman , Tingting Mu

This paper addresses the general problem of modelling and learning rank data with ties. We propose a probabilistic generative model, that models the process as permutations over partitions. This results in super-exponential combinatorial…

Information Retrieval · Computer Science 2010-10-05 Tran The Truyen , Dinh Q. Phung , Svetha Venkatesh

Low rank approximation is a commonly occurring problem in many computer vision and machine learning applications. There are two common ways of optimizing the resulting models. Either the set of matrices with a given rank can be explicitly…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Marcus Valtonen Örnhag , Carl Olsson , Anders Heyden

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

The usage of convolutional neural networks (CNNs) for unsupervised image segmentation was investigated in this study. In the proposed approach, label prediction and network parameter learning are alternately iterated to meet the following…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Wonjik Kim , Asako Kanezaki , Masayuki Tanaka

Issues concerning intelligent data analysis occurring in machine learning are investigated. A scheme for synthesizing correct supervised classification procedures is proposed. These procedures are focused on specifying partial order…

Discrete Mathematics · Computer Science 2019-07-23 Elena V. Djukova , Gleb O. Masliakov , Petr A. Prokofyev

Partial Multi-label Learning (PML) is a type of weakly supervised learning where each training instance corresponds to a set of candidate labels, among which only some are true. In this paper, we introduce \our{}, a novel probabilistic…

Machine Learning · Computer Science 2024-03-13 Łukasz Struski , Adam Pardyl , Jacek Tabor , Bartosz Zieliński

The problem of developing binary classifiers from positive and unlabeled data is often encountered in machine learning. A common requirement in this setting is to approximate posterior probabilities of positive and negative classes for a…

Machine Learning · Statistics 2016-01-11 Shantanu Jain , Martha White , Michael W. Trosset , Predrag Radivojac

This paper presents a systematic evaluation of Neural Network (NN) for classification of real-world data. In the field of machine learning, it is often seen that a single parameter that is 'predictive accuracy' is being used for evaluating…

Neural and Evolutionary Computing · Computer Science 2016-12-05 Siddharth Dinesh , Tirtharaj Dash

Conditional density estimation is a general framework for solving various problems in machine learning. Among existing methods, non-parametric and/or kernel-based methods are often difficult to use on large datasets, while methods based on…

Machine Learning · Statistics 2018-06-06 Hiroaki Sasaki , Aapo Hyvärinen
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