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Most classification models can be considered as the process of matching templates. However, when intra-class uncertainty/variability is not considered, especially for datasets containing unbalanced classes, this may lead to classification…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 He Zhu , Shan Yu

The vulnerability of models to data aberrations and adversarial attacks influences their ability to demarcate distinct class boundaries efficiently. The network's confidence and uncertainty play a pivotal role in weight adjustments and the…

Machine Learning · Computer Science 2020-12-15 Utkarsh Uppal , Bharat Giddwani

We say that a classifier is \emph{adversarially robust} to perturbations of norm $r$ if, with high probability over a point $x$ drawn from the input distribution, there is no point within distance $\le r$ from $x$ that is classified…

Data Structures and Algorithms · Computer Science 2025-05-21 Jane Lange , Arsen Vasilyan

When dealing with imbalanced classification data, reweighting the loss function is a standard procedure allowing to equilibrate between the true positive and true negative rates within the risk measure. Despite significant theoretical work…

Machine Learning · Statistics 2024-04-17 Anass Aghbalou , François Portier , Anne Sabourin

In deep neural network, the cross-entropy loss function is commonly used for classification. Minimizing cross-entropy is equivalent to maximizing likelihood under assumptions of uniform feature and class distributions. It belongs to…

Machine Learning · Computer Science 2018-05-01 Donglai Zhu , Hengshuai Yao , Bei Jiang , Peng Yu

We consider the weakly supervised binary classification problem where the labels are randomly flipped with probability $1- {\alpha}$. Although there exist numerous algorithms for this problem, it remains theoretically unexplored how the…

Machine Learning · Computer Science 2019-07-16 Xinyang Yi , Zhaoran Wang , Zhuoran Yang , Constantine Caramanis , Han Liu

Many common loss functions such as mean-squared-error, cross-entropy, and reconstruction loss are unnecessarily rigid. Under a probabilistic interpretation, these common losses correspond to distributions with fixed shapes and scales. We…

Machine Learning · Computer Science 2020-10-05 Mark Hamilton , Evan Shelhamer , William T. Freeman

We describe and analyze a new algorithm for agnostically learning kernel-based halfspaces with respect to the \emph{zero-one} loss function. Unlike most previous formulations which rely on surrogate convex loss functions (e.g. hinge-loss in…

Machine Learning · Computer Science 2010-08-03 Shai Shalev-Shwartz , Ohad Shamir , Karthik Sridharan

Several variants of reweighted risk functionals, such as focal loss, inverse focal loss, and the Area Under the Risk Coverage Curve (AURC), have been proposed for improving model calibration; yet their theoretical connections to calibration…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Han Zhou , Sebastian G. Gruber , Teodora Popordanoska , Matthew B. Blaschko

Deep supervised learning has achieved remarkable success across a wide range of tasks, yet it remains susceptible to overfitting when confronted with noisy labels. To address this issue, noise-robust loss functions offer an effective…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Xichen Ye , Yifan Wu , Yiqi Wang , Xiaoqiang Li , Weizhong Zhang , Yifan Chen

In this paper, we introduce the Label-Aware Ranked loss, a novel metric loss function. Compared to the state-of-the-art Deep Metric Learning losses, this function takes advantage of the ranked ordering of the labels in regression problems.…

Signal Processing · Electrical Eng. & Systems 2022-10-26 Lorenzo Servadei , Huawei Sun , Julius Ott , Michael Stephan , Souvik Hazra , Thomas Stadelmayer , Daniela Sanchez Lopera , Robert Wille , Avik Santra

In many applications, the training data, from which one needs to learn a classifier, is corrupted with label noise. Many standard algorithms such as SVM perform poorly in presence of label noise. In this paper we investigate the robustness…

Machine Learning · Computer Science 2015-09-11 Aritra Ghosh , Naresh Manwani , P. S. Sastry

We introduce a new loss function TripleEntropy, to improve classification performance for fine-tuning general knowledge pre-trained language models based on cross-entropy and SoftTriple loss. This loss function can improve the robust…

Computation and Language · Computer Science 2022-11-28 Witold Sosnowski , Anna Wroblewska , Piotr Gawrysiak

This paper describes one objective function for learning semantically coherent feature embeddings in multi-output classification problems, i.e., when the response variables have dimension higher than one. In particular, we consider the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Hugo Proença , Ehsan Yaghoubi , Pendar Alirezazadeh

This work proposes a new loss function targeting classification problems, utilizing a source of information overlooked by cross entropy loss. First, we derive a series of the tightest upper and lower bounds for the probability of a random…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Ali Ghobadzadeh , Amir Lashkari

Machine learning classifiers rely on loss functions for performance evaluation, often on a private (hidden) dataset. In a recent line of research, label inference was introduced as the problem of reconstructing the ground truth labels of…

Machine Learning · Computer Science 2021-11-02 Abhinav Aggarwal , Shiva Prasad Kasiviswanathan , Zekun Xu , Oluwaseyi Feyisetan , Nathanael Teissier

In this paper we propose a new family of algorithms, ATENT, for training adversarially robust deep neural networks. We formulate a new loss function that is equipped with an additional entropic regularization. Our loss function considers…

Machine Learning · Computer Science 2021-02-22 Gauri Jagatap , Ameya Joshi , Animesh Basak Chowdhury , Siddharth Garg , Chinmay Hegde

We study the problem of learning Single-Index Models under the $L_2^2$ loss in the agnostic model. We give an efficient learning algorithm, achieving a constant factor approximation to the optimal loss, that succeeds under a range of…

Machine Learning · Computer Science 2024-02-28 Nikos Zarifis , Puqian Wang , Ilias Diakonikolas , Jelena Diakonikolas

Convex potential minimisation is the de facto approach to binary classification. However, Long and Servedio [2010] proved that under symmetric label noise (SLN), minimisation of any convex potential over a linear function class can result…

Machine Learning · Computer Science 2015-05-29 Brendan van Rooyen , Aditya Krishna Menon , Robert C. Williamson

This paper illustrates the central role of loss functions in data-driven decision making, providing a comprehensive survey on their influence in cost-sensitive classification (CSC) and reinforcement learning (RL). We demonstrate how…

Machine Learning · Statistics 2025-04-07 Kaiwen Wang , Nathan Kallus , Wen Sun
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