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Adversarial examples have pointed out Deep Neural Networks vulnerability to small local noise. It has been shown that constraining their Lipschitz constant should enhance robustness, but make them harder to learn with classical loss…

In this paper, we study a classification problem in which sample labels are randomly corrupted. In this scenario, there is an unobservable sample with noise-free labels. However, before being observed, the true labels are independently…

Machine Learning · Statistics 2015-07-21 Tongliang Liu , Dacheng Tao

The 01 loss is robust to outliers and tolerant to noisy data compared to convex loss functions. We conjecture that the 01 loss may also be more robust to adversarial attacks. To study this empirically we have developed a stochastic…

Machine Learning · Computer Science 2020-02-11 Yunzhe Xue , Meiyan Xie , Usman Roshan

We develop methods for nonparametric uniform inference in cost-sensitive binary classification, a framework that encompasses maximum score estimation, predicting utility maximizing actions, and policy learning. These problems are well known…

Econometrics · Economics 2025-12-16 Nan Liu , Yanbo Liu , Yuya Sasaki , Yuanyuan Wan

We consider the problem of retrieving the most relevant labels for a given input when the size of the output space is very large. Retrieval methods are modeled as set-valued classifiers which output a small set of classes for each input,…

Machine Learning · Computer Science 2018-10-17 Sashank J. Reddi , Satyen Kale , Felix Yu , Dan Holtmann-Rice , Jiecao Chen , Sanjiv Kumar

We introduce a new surrogate loss function called orbit loss in the structured prediction framework, which has good theoretical and practical advantages. While the orbit loss is not convex, it has a simple analytical gradient and a simple…

Machine Learning · Computer Science 2015-12-10 Danny Karmon , Joseph Keshet

Contrastive learning relies on an assumption that positive pairs contain related views, e.g., patches of an image or co-occurring multimodal signals of a video, that share certain underlying information about an instance. But what if this…

Computer Vision and Pattern Recognition · Computer Science 2022-01-13 Ching-Yao Chuang , R Devon Hjelm , Xin Wang , Vibhav Vineet , Neel Joshi , Antonio Torralba , Stefanie Jegelka , Yale Song

Though learning has become a core component of modern information processing, there is now ample evidence that it can lead to biased, unsafe, and prejudiced systems. The need to impose requirements on learning is therefore paramount,…

Machine Learning · Computer Science 2022-10-20 Luiz F. O. Chamon , Santiago Paternain , Miguel Calvo-Fullana , Alejandro Ribeiro

We give a method for proactively identifying small, plausible shifts in distribution which lead to large differences in model performance. These shifts are defined via parametric changes in the causal mechanisms of observed variables, where…

Machine Learning · Computer Science 2023-01-18 Nikolaj Thams , Michael Oberst , David Sontag

We analyze the performance of alternating minimization for loss functions optimized over two variables, where each variable may be restricted to lie in some potentially nonconvex constraint set. This type of setting arises naturally in…

Optimization and Control · Mathematics 2019-02-26 Wooseok Ha , Rina Foygel Barber

This manuscript provides optimization guarantees, generalization bounds, and statistical consistency results for AdaBoost variants which replace the exponential loss with the logistic and similar losses (specifically, twice differentiable…

Machine Learning · Computer Science 2013-05-14 Matus Telgarsky

The mainstream researche in deep metric learning can be divided into two genres: proxy-based and pair-based methods. Proxy-based methods have attracted extensive attention due to the lower training complexity and fast network convergence.…

Information Retrieval · Computer Science 2023-04-19 Xinyue Li , Jian Wang , Wei Song , Yanling Du , Zhixiang Liu

We investigate the stochastic optimization problem of minimizing population risk, where the loss defining the risk is assumed to be weakly convex. Compositions of Lipschitz convex functions with smooth maps are the primary examples of such…

Optimization and Control · Mathematics 2018-12-19 Damek Davis , Dmitriy Drusvyatskiy

A weakly-supervised learning framework named as complementary-label learning has been proposed recently, where each sample is equipped with a single complementary label that denotes one of the classes the sample does not belong to. However,…

Machine Learning · Statistics 2020-07-24 Yuzhou Cao , Shuqi Liu , Yitian Xu

Despite being robust to small amounts of label noise, convolutional neural networks trained with stochastic gradient methods have been shown to easily fit random labels. When there are a mixture of correct and mislabelled targets, networks…

Computer Vision and Pattern Recognition · Computer Science 2019-06-06 Eric Arazo , Diego Ortego , Paul Albert , Noel E. O'Connor , Kevin McGuinness

In this paper, we study the classification problem in which we have access to easily obtainable surrogate for true labels, namely complementary labels, which specify classes that observations do \textbf{not} belong to. Let $Y$ and $\bar{Y}$…

Machine Learning · Statistics 2018-08-09 Xiyu Yu , Tongliang Liu , Mingming Gong , Dacheng Tao

Supervised contrastive learning (SupCon) has proven to be a powerful alternative to the standard cross-entropy loss for classification of multi-class balanced datasets. However, it struggles to learn well-conditioned representations of…

Machine Learning · Computer Science 2025-03-24 David Mildenberger , Paul Hager , Daniel Rueckert , Martin J Menten

Loss functions engineering and the assessment of forecasting performances are two crucial and intertwined aspects of supervised machine learning. This paper focuses on binary classification to introduce a class of loss functions that are…

Machine Learning · Computer Science 2021-03-30 Francesco Marchetti , Sabrina Guastavino , Michele Piana , Cristina Campi

Binary classification rules based on covariates typically depend on simple loss functions such as zero-one misclassification. Some cases may require more complex loss functions. For example, individual-level monitoring of HIV-infected…

Machine Learning · Statistics 2019-05-14 Yizhen Xu , Tao Liu , Michael J. Daniels , Rami Kantor , Ann Mwangi , Joseph W. Hogan

While machine learning (ML) architectures have evolved rapidly to account for complex data, loss functions like cross-entropy remain mostly structure-agnostic in many real-world applications. However, the `class-symmetric' nature of these…

Machine Learning · Computer Science 2026-05-28 Yasser Taha , Grégoire Montavon , Nils Körber
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