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In transfer learning, the learner leverages auxiliary data to improve generalization on a main task. However, the precise theoretical understanding of when and how auxiliary data help remains incomplete. We provide new insights on this…

Machine Learning · Computer Science 2026-03-31 Meitong Liu , Christopher Jung , Rui Li , Xue Feng , Han Zhao

We prove risk bounds for binary classification in high-dimensional settings when the sample size is allowed to be smaller than the dimensionality of the training set observations. In particular, we prove upper bounds for both 'compressive…

Statistics Theory · Mathematics 2017-09-29 Ata Kaban , Robert J. Durrant

Meta-learning automatically infers an inductive bias by observing data from a number of related tasks. The inductive bias is encoded by hyperparameters that determine aspects of the model class or training algorithm, such as initialization…

Machine Learning · Computer Science 2020-11-10 Sharu Theresa Jose , Osvaldo Simeone , Giuseppe Durisi

This paper presents a general methodology for deriving information-theoretic generalization bounds for learning algorithms. The main technical tool is a probabilistic decorrelation lemma based on a change of measure and a relaxation of…

Machine Learning · Computer Science 2023-12-07 Yifeng Chu , Maxim Raginsky

Credit risk modeling relies extensively on Weight of Evidence (WoE) and Information Value (IV) for feature engineering, and Population Stability Index (PSI) for drift monitoring, yet their theoretical foundations remain disconnected. We…

Machine Learning · Statistics 2025-09-15 Agus Sudjianto , Denis Burakov

A problem of bounding the generalization error of a classifier f in H, where H is a "base" class of functions (classifiers), is considered. This problem frequently occurs in computer learning, where efficient algorithms of combining simple…

Probability · Mathematics 2007-06-13 Vladimir Koltchinskii , Dmitry Panchenko , Fernando Lozano

Model calibration aims to align confidence with prediction correctness. The Cross-Entropy (CE) loss is widely used for calibrator training, which enforces the model to increase confidence on the ground truth class. However, we find the CE…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Yuchi Liu , Lei Wang , Yuli Zou , James Zou , Liang Zheng

Deep learning systems have been reported to achieve state-of-the-art performances in many applications, and a key is the existence of well trained classifiers on benchmark datasets. As a main-stream loss function, the cross entropy can…

Machine Learning · Computer Science 2022-09-22 Jirong Yi , Qiaosheng Zhang , Zhen Chen , Qiao Liu , Wei Shao

In critical decision support systems based on medical imaging, the reliability of AI-assisted decision-making is as relevant as predictive accuracy. Although deep learning models have demonstrated significant accuracy, they frequently…

Computer Vision and Pattern Recognition · Computer Science 2026-02-13 Hua Xu , Julián D. Arias-Londoño , Juan I. Godino-Llorente

In statistical classification and machine learning, classification error is an important performance measure, which is minimized by the Bayes decision rule. In practice, the unknown true distribution is usually replaced with a model…

Machine Learning · Computer Science 2025-01-28 Zijian Yang , Vahe Eminyan , Ralf Schlüter , Hermann Ney

Constrained Bayesian optimization (CBO) methods have seen significant success in black-box optimization with constraints. One of the most commonly used CBO methods is the constrained expected improvement (CEI) algorithm. CEI is a natural…

Machine Learning · Statistics 2026-01-13 Haowei Wang , Jingyi Wang , Zhongxiang Dai , Nai-Yuan Chiang , Szu Hui Ng , Cosmin G. Petra

Learning tasks play an increasingly prominent role in quantum information and computation. They range from fundamental problems such as state discrimination and metrology over the framework of quantum probably approximately correct (PAC)…

Deep neural networks for medical image segmentation are often overconfident, compromising both reliability and clinical utility. In this work, we propose differentiable formulations of marginal L1 Average Calibration Error (mL1-ACE) as an…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Theodore Barfoot , Luis C. Garcia-Peraza-Herrera , Samet Akcay , Ben Glocker , Tom Vercauteren

This work discusses how to derive upper bounds for the expected generalisation error of supervised learning algorithms by means of the chaining technique. By developing a general theoretical framework, we establish a duality between…

Machine Learning · Statistics 2022-07-01 Eugenio Clerico , Amitis Shidani , George Deligiannidis , Arnaud Doucet

Most machine learning classifiers are designed to output posterior probabilities for the classes given the input sample. These probabilities may be used to make the categorical decision on the class of the sample; provided as input to a…

Machine Learning · Statistics 2024-08-07 Luciana Ferrer , Daniel Ramos

This paper introduces Fast Calibrated Explanations, a method designed for generating rapid, uncertainty-aware explanations for machine learning models. By incorporating perturbation techniques from ConformaSight - a global explanation…

Machine Learning · Computer Science 2024-10-29 Tuwe Löfström , Fatima Rabia Yapicioglu , Alessandra Stramiglio , Helena Löfström , Fabio Vitali

Generalization under distribution shift remains a core challenge in modern machine learning, yet existing learning bound theory is limited to narrow, idealized settings and is non-estimable from samples. In this paper, we bridge the gap…

Machine Learning · Statistics 2025-08-25 Hongbo Chen , Li Charlie Xia

Previous research on PAC-Bayes learning theory has focused extensively on establishing tight upper bounds for test errors. A recently proposed training procedure called PAC-Bayes training, updates the model toward minimizing these bounds.…

Machine Learning · Statistics 2024-10-22 Xitong Zhang , Avrajit Ghosh , Guangliang Liu , Rongrong Wang

Estimated uncertainty by approximate posteriors in Bayesian neural networks are prone to miscalibration, which leads to overconfident predictions in critical tasks that have a clear asymmetric cost or significant losses. Here, we extend the…

Machine Learning · Computer Science 2022-06-17 Biraja Ghoshal , Allan Tucker

Deep neural networks for medical image segmentation often produce overconfident results misaligned with empirical observations. Such miscalibration, challenges their clinical translation. We propose to use marginal L1 average calibration…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Theodore Barfoot , Luis Garcia-Peraza-Herrera , Ben Glocker , Tom Vercauteren
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