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Learning with a {\it convex loss} function has been a dominating paradigm for many years. It remains an interesting question how non-convex loss functions help improve the generalization of learning with broad applicability. In this paper,…

Machine Learning · Computer Science 2018-05-22 Yi Xu , Shenghuo Zhu , Sen Yang , Chi Zhang , Rong Jin , Tianbao Yang

We introduce a tunable loss function called $\alpha$-loss, parameterized by $\alpha \in (0,\infty]$, which interpolates between the exponential loss ($\alpha = 1/2$), the log-loss ($\alpha = 1$), and the 0-1 loss ($\alpha = \infty$), for…

Machine Learning · Computer Science 2022-12-22 Tyler Sypherd , Mario Diaz , John Kevin Cava , Gautam Dasarathy , Peter Kairouz , Lalitha Sankar

Robust validation metrics remain essential in contemporary deep learning, not only to detect overfitting and poor generalization, but also to monitor training dynamics. In the supervised classification setting, we investigate whether…

Machine Learning · Computer Science 2025-10-30 Florian A. Hölzl , Daniel Rueckert , Georgios Kaissis

The goal of multi-task learning is to enable more efficient learning than single task learning by sharing model structures for a diverse set of tasks. A standard multi-task learning objective is to minimize the average loss across all…

Machine Learning · Computer Science 2024-02-22 Bo Liu , Xingchao Liu , Xiaojie Jin , Peter Stone , Qiang Liu

We study consistency properties of surrogate loss functions for general multiclass learning problems, defined by a general multiclass loss matrix. We extend the notion of classification calibration, which has been studied for binary and…

Machine Learning · Computer Science 2015-08-25 Harish G. Ramaswamy , Shivani Agarwal

In GFlowNets and variational inference, it has been shown that the mean square error between target and model log probabilities is an effective, low variance, surrogate loss for training generative models. This loss has the property that…

Machine Learning · Computer Science 2026-05-18 Jake Fawkes , Jason Hartford

In sparse target inference problems it has been shown that significant gains can be achieved by adaptive sensing using convex criteria. We generalize previous work on adaptive sensing to (a) include multiple classes of targets with…

Information Theory · Computer Science 2014-09-30 Gregory E. Newstadt , Beipeng Mu , Dennis Wei , Jonathan P. How , Alfred O. Hero

We introduce Exponential Family Discriminant Analysis (EFDA), a unified generative framework that extends classical Linear Discriminant Analysis (LDA) beyond the Gaussian setting to any member of the exponential family. Under the assumption…

Machine Learning · Computer Science 2026-03-25 Anish Lakkapragada

Continual learning aims to sequentially learn new tasks without forgetting previous tasks' knowledge (catastrophic forgetting). One factor that can cause forgetting is the interference between the gradients on losses from different tasks.…

Computation and Language · Computer Science 2025-12-01 Xueying Bai , Jinghuan Shang , Yifan Sun , Niranjan Balasubramanian

Learning linear predictors with the logistic loss---both in stochastic and online settings---is a fundamental task in machine learning and statistics, with direct connections to classification and boosting. Existing "fast rates" for this…

Machine Learning · Computer Science 2018-12-17 Dylan J. Foster , Satyen Kale , Haipeng Luo , Mehryar Mohri , Karthik Sridharan

Deep learning has shown outstanding performance in several applications including image classification. However, deep classifiers are known to be highly vulnerable to adversarial attacks, in that a minor perturbation of the input can easily…

Computer Vision and Pattern Recognition · Computer Science 2020-10-30 Arslan Ali , Andrea Migliorati , Tiziano Bianchi , Enrico Magli

Online continual learning is a challenging problem where models must learn from a non-stationary data stream while avoiding catastrophic forgetting. Inter-class imbalance during training has been identified as a major cause of forgetting,…

Machine Learning · Computer Science 2024-10-01 Zhehao Huang , Tao Li , Chenhe Yuan , Yingwen Wu , Xiaolin Huang

Generalized class discovery (GCD) aims to infer known and unknown categories in an unlabeled dataset leveraging prior knowledge of a labeled set comprising known classes. Existing research implicitly/explicitly assumes that the frequency of…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Ziyun Li , Ben Dai , Furkan Simsek , Christoph Meinel , Haojin Yang

Data imbalance is a common problem in machine learning that can have a critical effect on the performance of a model. Various solutions exist but their impact on the convergence of the learning dynamics is not understood. Here, we elucidate…

Machine Learning · Statistics 2024-02-20 Emanuele Francazi , Marco Baity-Jesi , Aurelien Lucchi

The theory of two-sided matching has been extensively developed and applied to many real-life application domains. As the theory has been applied to increasingly diverse types of environments, researchers and practitioners have encountered…

Computer Science and Game Theory · Computer Science 2024-09-25 Kei Kimura , Kwei-guu Liu , Zhaohong Sun , Kentaro Yahiro , Makoto Yokoo

Learning with abstention is a key scenario where the learner can abstain from making a prediction at some cost. In this paper, we analyze the score-based formulation of learning with abstention in the multi-class classification setting. We…

Machine Learning · Computer Science 2024-04-02 Anqi Mao , Mehryar Mohri , Yutao Zhong

In an effort to address the training instabilities of GANs, we introduce a class of dual-objective GANs with different value functions (objectives) for the generator (G) and discriminator (D). In particular, we model each objective using…

Machine Learning · Computer Science 2023-05-04 Monica Welfert , Kyle Otstot , Gowtham R. Kurri , Lalitha Sankar

Class imbalance poses a challenge for developing unbiased, accurate predictive models. In particular, in image segmentation neural networks may overfit to the foreground samples from small structures, which are often heavily…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Zeju Li , Konstantinos Kamnitsas , Ben Glocker

Multi-label Classification (MLC) assigns an instance to one or more non-exclusive classes. A challenge arises when the dataset contains a large proportion of instances with no assigned class, referred to as negative data, which can…

Machine Learning · Computer Science 2025-06-09 Dumindu Tissera , Omar Awadallah , Muhammad Umair Danish , Ayan Sadhu , Katarina Grolinger

Generalized linear mixed models (GLMM) encompass large class of statistical models, with a vast range of applications areas. GLMM extends the linear mixed models allowing for different types of response variable. Three most common data…

Applications · Statistics 2017-04-25 Wagner Hugo Bonat , Paulo Justiniano Ribeiro , Silvia emiko Shimakura
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