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One of the main challenges for feature representation in deep learning-based classification is the design of appropriate loss functions that exhibit strong discriminative power. The classical softmax loss does not explicitly encourage…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Xiong Zhou , Xianming Liu , Deming Zhai , Junjun Jiang , Xin Gao , Xiangyang Ji

In a standard classification framework a set of trustworthy learning data are employed to build a decision rule, with the final aim of classifying unlabelled units belonging to the test set. Therefore, unreliable labelled observations,…

Applications · Statistics 2019-11-20 Andrea Cappozzo , Francesca Greselin , Thomas Brendan Murphy

The key issue of few-shot learning is learning to generalize. This paper proposes a large margin principle to improve the generalization capacity of metric based methods for few-shot learning. To realize it, we develop a unified framework…

Machine Learning · Computer Science 2018-09-24 Yong Wang , Xiao-Ming Wu , Qimai Li , Jiatao Gu , Wangmeng Xiang , Lei Zhang , Victor O. K. Li

Classification systems are often deployed in resource-constrained settings where labels must be assigned to inputs on a budget of time, memory, etc. Budgeted, sequential classifiers (BSCs) address these scenarios by processing inputs…

Neural and Evolutionary Computing · Computer Science 2022-09-08 Nolan H. Hamilton , Errin Fulp

We introduce a novel sensitivity analysis framework for large scale classification problems that can be used when a small number of instances are incrementally added or removed. For quickly updating the classifier in such a situation,…

Machine Learning · Statistics 2015-04-14 Shota Okumura , Yoshiki Suzuki , Ichiro Takeuchi

Noise-tolerant PAC learning of linear models has been of central interests in machine learning community since the last century. In recent years, many computationally-efficient algorithms have been proposed for the problem of learning…

Machine Learning · Computer Science 2026-05-19 Rita Adhikari , Shiwei Zeng

Classification is an important statistical learning tool. In real application, besides high prediction accuracy, it is often desirable to estimate class conditional probabilities for new observations. For traditional problems where the…

Statistics Theory · Mathematics 2025-03-18 Guo Xian Yau , Chong Zhang

Many studies on the cost-sensitive learning assumed that a unique cost matrix is known for a problem. However, this assumption may not hold for many real-world problems. For example, a classifier might need to be applied in several…

Machine Learning · Computer Science 2012-05-03 Rui Wang , Ke Tang

We develop a general framework for margin-based multicategory classification in metric spaces. The basic work-horse is a margin-regularized version of the nearest-neighbor classifier. We prove generalization bounds that match the state of…

Machine Learning · Computer Science 2014-01-31 Aryeh Kontorovich , Roi Weiss

We give a general recipe for derandomising PAC-Bayesian bounds using margins, with the critical ingredient being that our randomised predictions concentrate around some value. The tools we develop straightforwardly lead to margin bounds for…

Machine Learning · Computer Science 2022-02-24 Felix Biggs , Benjamin Guedj

This paper deals with the scenario approach to robust optimization. This relies on a random sampling of the possibly infinite number of constraints induced by uncertainties in the parameters of an optimization problem. Solving the resulting…

Optimization and Control · Mathematics 2023-03-08 Fabien Lauer

Margin has played an important role on the design and analysis of learning algorithms during the past years, mostly working with the maximization of the minimum margin. Recent years have witnessed the increasing empirical studies on the…

Machine Learning · Computer Science 2022-06-01 Meng-Zhang Qian , Zheng Ai , Teng Zhang , Wei Gao

Recent works have investigated the sample complexity necessary for fair machine learning. The most advanced of such sample complexity bounds are developed by analyzing multicalibration uniform convergence for a given predictor class. We…

Machine Learning · Computer Science 2022-02-10 Harrison Rosenberg , Robi Bhattacharjee , Kassem Fawaz , Somesh Jha

Training of deep neural networks heavily depends on the data distribution. In particular, the networks easily suffer from class imbalance. The trained networks would recognize the frequent classes better than the infrequent classes. To…

Computer Vision and Pattern Recognition · Computer Science 2020-03-12 Byungju Kim , Junmo Kim

Many recent loss functions in deep metric learning are expressed with logarithmic and exponential forms, and they involve margin and scale as essential hyper-parameters. Since each data class has an intrinsic characteristic, several…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-24 Myunghun Jung , Hoirin Kim

In this paper we establish a new margin-based generalization bound for voting classifiers, refining existing results and yielding tighter generalization guarantees for widely used boosting algorithms such as AdaBoost (Freund and Schapire,…

Machine Learning · Computer Science 2025-06-04 Mikael Møller Høgsgaard , Kasper Green Larsen

We consider the classification problem and focus on nonlinear methods for classification on manifolds. For multivariate datasets lying on an embedded nonlinear Riemannian manifold within the higher-dimensional ambient space, we aim to…

Machine Learning · Statistics 2019-04-02 Zhigang Yao , Zhenyue Zhang

The classification loss functions used in deep neural network classifiers can be grouped into two categories based on maximizing the margin in either Euclidean or angular spaces. Euclidean distances between sample vectors are used during…

Computer Vision and Pattern Recognition · Computer Science 2022-12-23 Hakan Cevikalp , Hasan Saribas

Logistic models are commonly used for binary classification tasks. The success of such models has often been attributed to their connection to maximum-likelihood estimators. It has been shown that gradient descent algorithm, when applied on…

Machine Learning · Statistics 2020-10-30 Fariborz Salehi , Ehsan Abbasi , Babak Hassibi

The concern about hidden discrimination in machine learning models is growing, as their widespread real-world applications increasingly impact human lives. Various techniques, including commonly used group fairness measures and several…

Machine Learning · Computer Science 2026-03-12 Yijun Bian