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Minimum divergence estimators provide a natural choice of estimators in a statistical inference problem. Different properties of various families of these divergence measures such as Hellinger distance, power divergence, density power…

Statistics Theory · Mathematics 2025-07-08 Subhrajyoty Roy , Supratik Basu , Abhik Ghosh , Ayanendranath Basu

The one-class classification problem is a well-known research endeavor in pattern recognition. The problem is also known under different names, such as outlier and novelty/anomaly detection. The core of the problem consists in modeling and…

Computer Vision and Pattern Recognition · Computer Science 2015-03-31 Lorenzo Livi , Alireza Sadeghian , Witold Pedrycz

This paper introduces the correlation-of-divergency coefficient, c-delta, a custom statistical measure designed to quantify the similarity of internal divergence patterns between two groups of values. Unlike conventional correlation…

Methodology · Statistics 2026-03-10 Johan F. Hoorn

The aim of this article is to make a contribution to the Bayesian procedure of testing precise hypotheses for parametric models. For this purpose, we define the Bayesian Discrepancy Measure that allows one to evaluate the suitability of a…

Methodology · Statistics 2022-11-21 Francesco Bertolino , Mara Manca , Monica Musio , Walter Racugno , Laura Ventura

The problem of model selection is inevitable in an increasingly large number of applications involving partial theoretical knowledge and vast amounts of information, like in medicine, biology or economics. The associated techniques are…

Methodology · Statistics 2015-11-17 Stephane Guerrier , Maria-Pia Victoria-Feser

Information divergence that measures the difference between two nonnegative matrices or tensors has found its use in a variety of machine learning problems. Examples are Nonnegative Matrix/Tensor Factorization, Stochastic Neighbor…

Machine Learning · Computer Science 2014-06-06 Onur Dikmen , Zhirong Yang , Erkki Oja

Class-wise characteristics of training examples affect the performance of deep classifiers. A well-studied example is when the number of training examples of classes follows a long-tailed distribution, a situation that is likely to yield…

Machine Learning · Computer Science 2025-05-02 Z. S. Baltaci , K. Oksuz , S. Kuzucu , K. Tezoren , B. K. Konar , A. Ozkan , E. Akbas , S. Kalkan

Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

Machine Learning · Computer Science 2025-03-13 Shoma Yokura , Akihisa Ichiki

A multitude of classifiers can be trained on the same data to achieve similar performances during test time, while having learned significantly different classification patterns. This phenomenon, which we call prediction discrepancies, is…

Machine Learning · Computer Science 2024-08-01 Xavier Renard , Thibault Laugel , Marcin Detyniecki

Among the different possible strategies for evaluating the reliability of individual predictions of classifiers, robustness quantification stands out as a method that evaluates how much uncertainty a classifier could cope with before…

Machine Learning · Computer Science 2026-03-25 Rodrigo F. L. Lassance , Jasper De Bock

While robust divergence such as density power divergence and $\gamma$-divergence is helpful for robust statistical inference in the presence of outliers, the tuning parameter that controls the degree of robustness is chosen in a…

Methodology · Statistics 2021-09-15 Shonosuke Sugasawa , Shouto Yonekura

In machine learning, the performance of a classifier depends on both the classifier model and the separability/complexity of datasets. To quantitatively measure the separability of datasets, we create an intrinsic measure -- the…

Machine Learning · Computer Science 2021-09-14 Shuyue Guan , Murray Loew

Deep clustering successfully provides more effective features than conventional ones and thus becomes an important technique in current unsupervised learning. However, most deep clustering methods ignore the vital positive and negative…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Zhiyuan Dang , Cheng Deng , Xu Yang , Heng Huang

A learning classifier must outperform a trivial solution, in case of imbalanced data, this condition usually does not hold true. To overcome this problem, we propose a novel data level resampling method - Clustering Based Oversampling for…

Machine Learning · Computer Science 2018-11-13 Naman D. Singh , Abhinav Dhall

We propose thresholding as an approach to deal with class imbalance. We define the concept of thresholding as a process of determining a decision boundary in the presence of a tunable parameter. The threshold is the maximum value of this…

Machine Learning · Computer Science 2016-07-12 Charmgil Hong , Rumi Ghosh , Soundar Srinivasan

Abstaining classifiers have the option to abstain from making predictions on inputs that they are unsure about. These classifiers are becoming increasingly popular in high-stakes decision-making problems, as they can withhold uncertain…

Machine Learning · Statistics 2023-11-10 Yo Joong Choe , Aditya Gangrade , Aaditya Ramdas

Imbalance in classification tasks is commonly quantified by the cardinalities of examples across classes. This, however, disregards the presence of redundant examples and inherent differences in the learning difficulties of classes.…

Machine Learning · Computer Science 2026-01-22 Çağrı Eser , Zeynep Sonat Baltacı , Emre Akbaş , Sinan Kalkan

The aim of this note is to prove a new discrepancy principle. The advantage of the new discrepancy principle compared with the known one consists of solving a minimization problem approximately, rather than exactly, and in the proof of a…

Numerical Analysis · Mathematics 2015-06-26 A. G. Ramm

Successful continual learning of new knowledge would enable intelligent systems to recognize more and more classes of objects. However, current intelligent systems often fail to correctly recognize previously learned classes of objects when…

Computer Vision and Pattern Recognition · Computer Science 2021-08-21 Changhong Zhong , Zhiying Cui , Ruixuan Wang , Wei-Shi Zheng

This work proposes and evaluates a novel approach to determine interesting categorical attributes for lists of entities. Once identified, such categories are of immense value to allow constraining (filtering) a current view of a user to…

Databases · Computer Science 2017-11-30 Koninika Pal , Sebastian Michel
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