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We introduce two-scale loss functions for use in various gradient descent algorithms applied to classification problems via deep neural networks. This new method is generic in the sense that it can be applied to a wide range of machine…

Numerical Analysis · Mathematics 2021-09-03 Leonid Berlyand , Robert Creese , Pierre-Emmanuel Jabin

The sufficiently scattered condition (SSC) is a key condition in the study of identifiability of various matrix factorization problems, including nonnegative, minimum-volume, symmetric, simplex-structured, and polytopic matrix…

Machine Learning · Computer Science 2025-01-10 Nicolas Gillis , Robert Luce

Machine-generated probability predictions are essential in modern classification tasks such as image classification. A model is well calibrated when its predicted probabilities correspond to observed event frequencies. Despite the need for…

Machine Learning · Statistics 2026-02-24 Amy Vennos , Xin Xing , Christopher T. Franck

In this article, we rigorously establish the consistency of generalized cross-validation as a parameter-choice rule for solving inverse problems. We prove that the index chosen by leave-one-out GCV achieves a non-asymptotic, order-optimal…

Numerical Analysis · Mathematics 2025-06-18 Tim Jahn , Mikhail Kirilin

In the context of fault-detection problems, the objective is to identify all defective items among a set of $n$ binary-state items using the minimum number of tests. The {group testing} paradigm, which allows testing a subset of items in a…

Combinatorics · Mathematics 2025-11-18 Jun Wu , Yongxi Cheng , Zhen Yang , Feng Chu , Junkai He

In this article, we derive concentration inequalities for the cross-validation estimate of the generalization error for subagged estimators, both for classification and regressor. General loss functions and class of predictors with both…

Machine Learning · Statistics 2010-11-24 Matthieu CORNEC

In imbalanced multi-class classification problems, the misclassification rate as an error measure may not be a relevant choice. Several methods have been developed where the performance measure retained richer information than the mere…

Machine Learning · Computer Science 2013-11-05 Sokol Koço , Cécile Capponi

Credit card fraud detection based on machine learning has recently attracted considerable interest from the research community. One of the most important tasks in this area is the ability of classifiers to handle the imbalance in credit…

Neural and Evolutionary Computing · Computer Science 2017-04-13 Van Loi Cao , Nhien-An Le-Khac , Miguel Nicolau , Michael ONeill , James McDermott

In many large-scale classification problems, classes are organized in a known hierarchy, typically represented as a tree expressing the inclusion of classes in superclasses. We introduce a loss for this type of supervised hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Nicolas Urbani , Sylvain Rousseau , Yves Grandvalet , Leonardo Tanzi

Many real-world classification problems are significantly class-imbalanced to detriment of the class of interest. The standard set of proper evaluation metrics is well-known but the usual assumption is that the test dataset imbalance equals…

Machine Learning · Computer Science 2020-04-16 Jan Brabec , Tomáš Komárek , Vojtěch Franc , Lukáš Machlica

Continual Learning (CL, sometimes also termed incremental learning) is a flavor of machine learning where the usual assumption of stationary data distribution is relaxed or omitted. When naively applying, e.g., DNNs in CL problems, changes…

Machine Learning · Computer Science 2022-08-31 Benedikt Bagus , Alexander Gepperth , Timothée Lesort

Consider the problem of finding the best matching in a weighted graph where we only have access to predictions of the actual stochastic weights, based on an underlying context. If the predictor is the Bayes optimal one, then computing the…

Diffusion models have emerged as a pivotal advancement in generative models, setting new standards to the quality of the generated instances. In the current paper we aim to underscore a discrepancy between conventional training methods and…

Machine Learning · Computer Science 2023-11-03 Niket Patel , Luis Salamanca , Luis Barba

Estimating the prevalence of a category in a population using imperfect measurement devices (diagnostic tests, classifiers, or large language models) is fundamental to science, public health, and online trust and safety. Standard approaches…

Artificial Intelligence · Computer Science 2026-04-24 Fridolin Linder , Thomas Leeper , Daniel Haimovich , Niek Tax , Lorenzo Perini , Milan Vojnovic

Data classification, the process of analyzing data and organizing it into categories, is a fundamental computing problem of natural and artificial information processing systems. Ideally, the performance of classifier models would be…

Machine Learning · Computer Science 2022-06-07 Claus Metzner , Achim Schilling , Maximilian Traxdorf , Konstantin Tziridis , Holger Schulze , Patrick Krauss

Some aspects of basic category theory are developed in a finitely complete category $\C$, endowed with two factorization systems which determine the same discrete objects and are linked by a simple reciprocal stability law. Resting on this…

Category Theory · Mathematics 2008-02-06 Claudio Pisani

Deep neural networks (DNNs) have made great strides in pushing the state-of-the-art in several challenging domains. Recent studies reveal that they are prone to making overconfident predictions. This greatly reduces the overall trust in…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Vinith Kugathasan , Muhammad Haris Khan

We provide a unifying framework for the design and analysis of multicalibrated predictors. By placing the multicalibration problem in the general setting of multi-objective learning -- where learning guarantees must hold simultaneously over…

Machine Learning · Computer Science 2023-09-21 Nika Haghtalab , Michael I. Jordan , Eric Zhao

Different from large-scale classification tasks, fine-grained visual classification is a challenging task due to two critical problems: 1) evident intra-class variances and subtle inter-class differences, and 2) overfitting owing to fewer…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Hang Yao , Qiguang Miao , Peipei Zhao , Chaoneng Li , Xin Li , Guanwen Feng , Ruyi Liu

Class imbalance remains a significant challenge in machine learning, particularly for tabular data classification tasks. While Gradient Boosting Decision Trees (GBDT) models have proven highly effective for such tasks, their performance can…

Machine Learning · Computer Science 2024-07-22 Jiaqi Luo , Yuan Yuan , Shixin Xu