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The loss function is crucial to machine learning, especially in supervised learning frameworks. It is a fundamental component that controls the behavior and general efficacy of learning algorithms. However, despite their widespread use,…

Machine Learning · Computer Science 2026-02-09 Soumi Mahato , Lineesh M. C

Loss function plays a vital role in supervised learning frameworks. The selection of the appropriate loss function holds the potential to have a substantial impact on the proficiency attained by the acquired model. The training of…

Machine Learning · Computer Science 2024-10-15 Mushir Akhtar , M. Tanveer , Mohd. Arshad

Robust loss minimization is an important strategy for handling robust learning issue on noisy labels. Current robust loss functions, however, inevitably involve hyperparameter(s) to be tuned, manually or heuristically through cross…

Machine Learning · Computer Science 2020-02-18 Jun Shu , Qian Zhao , Keyu Chen , Zongben Xu , Deyu Meng

Mitigating the negative impact of noisy labels has been aperennial issue in supervised learning. Robust loss functions have emerged as a prevalent solution to this problem. In this work, we introduce the Variation Ratio as a novel property…

Machine Learning · Computer Science 2025-11-18 Jialiang Wang , Xiong Zhou , Xianming Liu , Gangfeng Hu , Deming Zhai , Junjun Jiang , Haoliang Li

In the last several years, the intimate connection between convex optimization and learning problems, in both statistical and sequential frameworks, has shifted the focus of algorithmic machine learning to examine this interplay. In…

Machine Learning · Computer Science 2014-07-23 Mehrdad Mahdavi

Robust loss functions are designed to combat the adverse impacts of label noise, whose robustness is typically supported by theoretical bounds agnostic to the training dynamics. However, these bounds may fail to characterize the empirical…

Machine Learning · Computer Science 2023-05-04 Zebin Ou , Yue Zhang

Labelling of data for supervised learning can be costly and time-consuming and the risk of incorporating label noise in large data sets is imminent. When training a flexible discriminative model using a strictly proper loss, such noise will…

Machine Learning · Statistics 2022-05-13 Amanda Olmin , Fredrik Lindsten

Distributional shifts pose a significant challenge to achieving robustness in contemporary machine learning. To overcome this challenge, robust satisficing (RS) seeks a robust solution to an unspecified distributional shift while achieving…

Machine Learning · Computer Science 2023-08-17 Artun Saday , Yaşar Cahit Yıldırım , Cem Tekin

Supervised learning is all about the ability to generalize knowledge. Specifically, the goal of the learning is to train a classifier using training data, in such a way that it will be capable of classifying new unseen data correctly. In…

Machine Learning · Computer Science 2011-04-04 Ido Ginodi , Amir Globerson

As enjoying the closed form solution, least squares support vector machine (LSSVM) has been widely used for classification and regression problems having the comparable performance with other types of SVMs. However, LSSVM has two drawbacks:…

Machine Learning · Computer Science 2017-02-08 Li Chen , Shuisheng Zhou

The amount of manually labeled data is limited in medical applications, so semi-supervised learning and automatic labeling strategies can be an asset for training deep neural networks. However, the quality of the automatically generated…

Machine Learning · Computer Science 2022-03-04 Wenhui Cui , Haleh Akrami , Anand A. Joshi , Richard M. Leahy

There is a growing need for models that are interpretable and have reduced energy and computational cost (e.g., in health care analytics and federated learning). Examples of algorithms to train such models include logistic regression and…

Machine Learning · Computer Science 2023-02-21 Tyler Sypherd , Nathan Stromberg , Richard Nock , Visar Berisha , Lalitha Sankar

Robust loss minimization is an important strategy for handling robust learning issue on noisy labels. Current approaches for designing robust losses involve the introduction of noise-robust factors, i.e., hyperparameters, to control the…

Machine Learning · Computer Science 2023-09-06 Kehui Ding , Jun Shu , Deyu Meng , Zongben Xu

In this paper, we propose a novel bounded asymmetric elastic net ($L_{baen}$) loss function and combine it with the support vector machine (SVM), resulting in the BAEN-SVM. The $L_{baen}$ is bounded and asymmetric and can degrade to the…

Machine Learning · Statistics 2026-04-09 Haiyan Du , Hu Yang

Self-supervised learning (SSL) has emerged as a powerful technique for learning rich representations from unlabeled data. The data representations are able to capture many underlying attributes of data, and be useful in downstream…

Machine Learning · Computer Science 2023-12-01 Weicheng Zhu , Sheng Liu , Carlos Fernandez-Granda , Narges Razavian

We demonstrate equivalence between the reinforcement learning problem and the supervised classification problem. We consequently equate the exploration exploitation trade-off in reinforcement learning to the dataset imbalance problem in…

Machine Learning · Computer Science 2023-08-09 Hasham Burhani , Xiao Qi Shi , Jonathan Jaegerman , Daniel Balicki

The support vector machine (SVM) is one of the most successful learning methods for solving classification problems. Despite its popularity, SVM has a serious drawback, that is sensitivity to outliers in training samples. The penalty on…

Machine Learning · Statistics 2014-09-04 Takafumi Kanamori , Shuhei Fujiwara , Akiko Takeda

We investigate robust nonparametric regression in the presence of heavy-tailed noise, where the hypothesis class may contain unbounded functions and robustness is ensured via a robust loss function $\ell_\sigma$. Using Huber regression as a…

Machine Learning · Computer Science 2025-10-14 Yunlong Feng , Qiang Wu

LOBSTER (LOss-Based SensiTivity rEgulaRization) is a method for training neural networks having a sparse topology. Let the sensitivity of a network parameter be the variation of the loss function with respect to the variation of the…

Machine Learning · Computer Science 2022-12-29 Enzo Tartaglione , Andrea Bragagnolo , Attilio Fiandrotti , Marco Grangetto

We investigate fast methods that allow to quickly eliminate variables (features) in supervised learning problems involving a convex loss function and a $l_1$-norm penalty, leading to a potentially substantial reduction in the number of…

Machine Learning · Computer Science 2010-10-28 Laurent El Ghaoui , Vivian Viallon , Tarek Rabbani
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