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Margin-based classifiers have been popular in both machine learning and statistics for classification problems. Since a large number of classifiers are available, one natural question is which type of classifiers should be used given a…

Machine Learning · Statistics 2021-10-19 Hanwen Huang , Qinglong Yang

The machine learning literature contains several constructions for prediction intervals that are intuitively reasonable but ultimately ad-hoc in that they do not come with provable performance guarantees. We present methods from the…

Machine Learning · Statistics 2020-02-25 Danijel Kivaranovic , Kory D. Johnson , Hannes Leeb

This paper proposes a deep representation learning using an information-theoretic loss with an aim to increase the inter-class distances as well as within-class similarity in the embedded space. Tasks such as anomaly and out-of-distribution…

Machine Learning · Computer Science 2022-02-08 Shin Ando

Neural networks are not learning optimal decision boundaries. We show that decision boundaries are situated in areas of low training data density. They are impacted by few training samples which can easily lead to overfitting. We provide a…

Machine Learning · Computer Science 2023-10-09 Johannes Schneider

In this paper, we propose the Lipschitz margin ratio and a new metric learning framework for classification through maximizing the ratio. This framework enables the integration of both the inter-class margin and the intra-class dispersion,…

Machine Learning · Computer Science 2018-02-13 Mingzhi Dong , Xiaochen Yang , Yang Wu , Jing-Hao Xue

In this paper, we reformulate the forest representation learning approach as an additive model which boosts the augmented feature instead of the prediction. We substantially improve the upper bound of generalization gap from…

Machine Learning · Computer Science 2019-05-09 Shen-Huan Lv , Liang Yang , Zhi-Hua Zhou

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

Machine Learning · Computer Science 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

Robustness of deep neural networks to input noise remains a critical challenge, as naive noise injection often degrades accuracy on clean (uncorrupted) data. We propose a novel training framework that addresses this trade-off through two…

Machine Learning · Statistics 2026-01-06 Hai-Vy Nguyen , Fabrice Gamboa , Sixin Zhang , Reda Chhaibi , Serge Gratton , Thierry Giaccone

The top-k error is a common measure of performance in machine learning and computer vision. In practice, top-k classification is typically performed with deep neural networks trained with the cross-entropy loss. Theoretical results indeed…

Machine Learning · Computer Science 2018-02-22 Leonard Berrada , Andrew Zisserman , M. Pawan Kumar

Recent years have witnessed the great advance of deep learning in a variety of vision tasks. Many state-of-the-art deep neural networks suffer from large size and high complexity, which makes it difficult to deploy in resource-limited…

Computer Vision and Pattern Recognition · Computer Science 2019-05-29 Zhengguang Zhou , Wengang Zhou , Xutao Lv , Xuan Huang , Xiaoyu Wang , Houqiang Li

This paper presents a comprehensive review of loss functions and performance metrics in deep learning, highlighting key developments and practical insights across diverse application areas. We begin by outlining fundamental considerations…

Loss functions drive the optimization of machine learning algorithms. The choice of a loss function can have a significant impact on the training of a model, and how the model learns the data. Binary classification is one of the major…

Machine Learning · Computer Science 2022-11-02 Rayan Wali

As increasing amounts of sensitive personal information is aggregated into data repositories, it has become important to develop mechanisms for processing the data without revealing information about individual data instances. The…

Machine Learning · Statistics 2015-03-17 Manas A. Pathak , Bhiksha Raj

DNNs have been quickly and broadly exploited to improve the data analysis quality in many complex science and engineering applications. Today's DNNs are becoming deeper and wider because of increasing demand on the analysis quality and more…

Computer Vision and Pattern Recognition · Computer Science 2019-04-24 Sian Jin , Sheng Di , Xin Liang , Jiannan Tian , Dingwen Tao , Franck Cappello

Algorithms in machine learning and AI do critically depend on at least three key components: (i) the risk function, which is the expectation of the loss function, (ii) the function space, which is often called the hypothesis space, and…

Machine Learning · Statistics 2026-05-08 Lena Helgerth , Andreas Christmann

Recently, there has been much interest in finding globally optimal Bayesian network structures. These techniques were developed for generative scores and can not be directly extended to discriminative scores, as desired for classification.…

Machine Learning · Computer Science 2012-07-03 Robert Peharz , Franz Pernkopf

In this paper, we propose a conceptually simple and geometrically interpretable objective function, i.e. additive margin Softmax (AM-Softmax), for deep face verification. In general, the face verification task can be viewed as a metric…

Computer Vision and Pattern Recognition · Computer Science 2018-05-31 Feng Wang , Weiyang Liu , Haijun Liu , Jian Cheng

Over the past decade, deep learning has proven to be a highly effective tool for learning meaningful features from raw data. However, it remains an open question how deep networks perform hierarchical feature learning across layers. In this…

Machine Learning · Computer Science 2025-11-17 Peng Wang , Xiao Li , Can Yaras , Zhihui Zhu , Laura Balzano , Wei Hu , Qing Qu

Due to myriads of classes, designing accurate and efficient classifiers becomes very challenging for multi-class classification. Recent research has shown that class structure learning can greatly facilitate multi-class learning. In this…

Machine Learning · Computer Science 2012-02-20 Jian-Bo Yang , Ivor W. Tsang

We study classification problems using binary estimators where the decision boundary is described by horizon functions and where the data distribution satisfies a geometric margin condition. A key novelty of our work is the derivation of…

Machine Learning · Statistics 2026-03-16 Jonathan García , Philipp Petersen
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