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The vast majority of statistical theory on binary classification characterizes performance in terms of accuracy. However, accuracy is known in many cases to poorly reflect the practical consequences of classification error, most famously in…

Statistics Theory · Mathematics 2022-09-27 Shashank Singh , Justin Khim

Resilience to class imbalance and confounding biases, together with the assurance of fairness guarantees are highly desirable properties of autonomous decision-making systems with real-life impact. Many different targeted solutions have…

Machine Learning · Computer Science 2021-05-14 Elisa Ferrari , Davide Bacciu

We provide a unified framework that applies to a general family of convex losses across binary and multiclass settings in the overparameterized regime to approximately characterize the implicit bias of gradient descent in closed form.…

Machine Learning · Statistics 2025-06-11 Kuo-Wei Lai , Vidya Muthukumar

A large-scale deep model pre-trained on massive labeled or unlabeled data transfers well to downstream tasks. Linear evaluation freezes parameters in the pre-trained model and trains a linear classifier separately, which is efficient and…

Machine Learning · Computer Science 2023-05-30 Chenyu Zheng , Guoqiang Wu , Fan Bao , Yue Cao , Chongxuan Li , Jun Zhu

Imbalanced datasets pose a considerable challenge in training deep learning (DL) models for medical diagnostics, particularly for segmentation tasks. Imbalance may be associated with annotation quality limited annotated datasets, rare…

Image and Video Processing · Electrical Eng. & Systems 2025-04-08 Bashir Alam , Masa Cirkovic , Mete Harun Akcay , Md Kaf Shahrier , Sebastien Lafond , Hergys Rexha , Kurt Benke , Sepinoud Azimi , Janan Arslan

The Federated Learning setting has a central server coordinating the training of a model on a network of devices. One of the challenges is variable training performance when the dataset has a class imbalance. In this paper, we address this…

Machine Learning · Computer Science 2020-11-13 Dipankar Sarkar , Ankur Narang , Sumit Rai

Recently, deep learning models have achieved great success in computer vision applications, relying on large-scale class-balanced datasets. However, imbalanced class distributions still limit the wide applicability of these models due to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-05 Yechan Kim , Younkwan Lee , Moongu Jeon

We give a sufficient condition for admissibility of generalized Bayes estimators of the location vector of spherically symmetric distribution under squared error loss. Compared to the known results for the multivariate normal case, our…

Statistics Theory · Mathematics 2007-10-29 Yuzo Maruyama , Akimichi Takemura

We propose two families of asymptotically local minimax lower bounds on parameter estimation performance. The first family of bounds applies to any convex, symmetric loss function that depends solely on the difference between the estimate…

Statistics Theory · Mathematics 2024-09-20 Neri Merhav

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

Cost-sensitive loss functions are crucial in many real-world prediction problems, where different types of errors are penalized differently; for example, in medical diagnosis, a false negative prediction can lead to worse consequences than…

Imbalanced data are frequently encountered in real-world classification tasks. Previous works on imbalanced learning mostly focused on learning with a minority class of few samples. However, the notion of imbalance also applies to cases…

Machine Learning · Computer Science 2024-09-09 Yin Jin , Ningtao Wang , Ruofan Wu , Pengfei Shi , Xing Fu , Weiqiang Wang

In this article, we study rates of convergence of the generalization error of multi-class margin classifiers. In particular, we develop an upper bound theory quantifying the generalization error of various large margin classifiers. The…

Statistics Theory · Mathematics 2011-11-10 Xiaotong Shen , Lifeng Wang

Blind gain and phase calibration (BGPC) is a structured bilinear inverse problem, which arises in many applications, including inverse rendering in computational relighting (albedo estimation with unknown lighting), blind phase and gain…

Information Theory · Computer Science 2016-11-03 Yanjun Li , Kiryung Lee , Yoram Bresler

This paper considers the classification of linear subspaces with mismatched classifiers. In particular, we assume a model where one observes signals in the presence of isotropic Gaussian noise and the distribution of the signals conditioned…

Information Theory · Computer Science 2016-05-04 Jure Sokolic , Francesco Renna , Robert Calderbank , Miguel R. D. Rodrigues

We present a new family of information-theoretic generalization bounds, in which the training loss and the population loss are compared through a jointly convex function. This function is upper-bounded in terms of the disintegrated,…

Machine Learning · Computer Science 2023-03-28 Fredrik Hellström , Giuseppe Durisi

Optimizing non-convex functions is a fundamental challenge across machine learning and combinatorial optimization. We introduce and study $\gamma$-weakly $\theta$-up-concavity, a novel first-order condition that characterizes a broad class…

Machine Learning · Computer Science 2026-05-11 Mohammad Pedramfar , Vaneet Aggarwal

This paper aims to provide a better understanding of a symmetric loss. First, we emphasize that using a symmetric loss is advantageous in the balanced error rate (BER) minimization and area under the receiver operating characteristic curve…

Machine Learning · Statistics 2019-09-10 Nontawat Charoenphakdee , Jongyeong Lee , Masashi Sugiyama

Cross-entropy is a widely used loss function in applications. It coincides with the logistic loss applied to the outputs of a neural network, when the softmax is used. But, what guarantees can we rely on when using cross-entropy as a…

Machine Learning · Computer Science 2023-06-21 Anqi Mao , Mehryar Mohri , Yutao Zhong

Class imbalance poses a significant challenge in classification tasks, where traditional approaches often lead to biased models and unreliable predictions. Undersampling and oversampling techniques have been commonly employed to address…

Machine Learning · Computer Science 2025-10-22 Matt Clifford , Jonathan Erskine , Alexander Hepburn , Raúl Santos-Rodríguez , Dario Garcia-Garcia
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