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High-dimensional regression often suffers from heavy-tailed noise and outliers, which can severely undermine the reliability of least-squares based methods. To improve robustness, we adopt a non-smooth Wilcoxon score based rank objective…

Machine Learning · Statistics 2026-01-29 Meixia Lin , Meijiao Shi , Yunhai Xiao , Qian Zhang

Randomized subspace methods reduce per-iteration cost; however, in nonconvex optimization, most analyses are expectation-based, and high-probability bounds remain scarce even under sub-Gaussian noise. We first prove that randomized subspace…

Optimization and Control · Mathematics 2026-01-30 Gaku Omiya , Pierre-Louis Poirion , Akiko Takeda

Stochastic Gradient Descent (SGD) based methods have been widely used for training large-scale machine learning models that also generalize well in practice. Several explanations have been offered for this generalization performance, a…

Machine Learning · Computer Science 2021-02-11 Yikai Zhang , Wenjia Zhang , Sammy Bald , Vamsi Pingali , Chao Chen , Mayank Goswami

Sparse learning is ubiquitous in many machine learning tasks. It aims to regularize the goodness-of-fit objective by adding a penalty term to encode structural constraints on the model parameters. In this paper, we develop a flexible sparse…

Machine Learning · Statistics 2026-02-10 Yingjie Wang , Mokhtar Z. Alaya , Salim Bouzebda , Xinsheng Liu

Deep predictive models of neuronal activity have recently enabled several new discoveries about the selectivity and invariance of neurons in the visual cortex. These models learn a shared set of nonlinear basis functions, which are linearly…

Neurons and Cognition · Quantitative Biology 2024-06-19 Polina Turishcheva , Max Burg , Fabian H. Sinz , Alexander Ecker

Accurate prediction of material properties facilitates the discovery of novel materials with tailored functionalities. Deep learning models have recently shown superior accuracy and flexibility in capturing structure-property relationships.…

Machine Learning · Computer Science 2025-04-30 Chowdhury Mohammad Abid Rahman , Aldo H. Romero , Prashnna K. Gyawali

Deep neural classifiers tend to rely on spurious correlations between spurious attributes of inputs and targets to make predictions, which could jeopardize their generalization capability. Training classifiers robust to spurious…

Machine Learning · Computer Science 2024-05-07 Guangtao Zheng , Wenqian Ye , Aidong Zhang

Label noise significantly degrades the generalization ability of deep models in applications. Effective strategies and approaches, \textit{e.g.} re-weighting, or loss correction, are designed to alleviate the negative impact of label noise…

Machine Learning · Computer Science 2021-11-09 Haoliang Sun , Chenhui Guo , Qi Wei , Zhongyi Han , Yilong Yin

Deep Metric Learning (DML) is a group of techniques that aim to measure the similarity between objects through the neural network. Although the number of DML methods has rapidly increased in recent years, most previous studies cannot…

Machine Learning · Computer Science 2022-12-02 Chenkang Zhang , Lei Luo , Bin Gu

Simplicity Bias (SB) is a phenomenon that deep neural networks tend to rely favorably on simpler predictive patterns but ignore some complex features when applied to supervised discriminative tasks. In this work, we investigate SB in…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Xiu-Shen Wei , Xuhao Sun , Yang Shen , Anqi Xu , Peng Wang , Faen Zhang

Recent work uses reinforcement learning (RL) to fine-tune text-to-image diffusion models, improving text-image alignment and sample quality. However, existing approaches introduce unnecessary complexity: they cache the full sampling…

Machine Learning · Computer Science 2025-07-02 Yanting Miao , William Loh , Pacal Poupart , Suraj Kothawade

As deep neural networks can easily overfit noisy labels, robust training in the presence of noisy labels is becoming an important challenge in modern deep learning. While existing methods address this problem in various directions, they…

Machine Learning · Computer Science 2022-11-30 Jongwoo Ko , Bongsoo Yi , Se-Young Yun

In this paper we consider Deep Neural Networks (DNNs) with a smooth activation function as surrogates for high-dimensional functions that are somewhat smooth but costly to evaluate. We consider the standard (non-periodic) DNNs as well as…

Numerical Analysis · Mathematics 2026-03-04 Alexander Keller , Frances Y. Kuo , Dirk Nuyens , Ian H. Sloan

Regularization is an effective way to promote the generalization performance of machine learning models. In this paper, we focus on label smoothing, a form of output distribution regularization that prevents overfitting of a neural network…

Machine Learning · Computer Science 2020-07-07 Weizhi Li , Gautam Dasarathy , Visar Berisha

We introduce a general framework for analyzing learning algorithms based on the notion of self-regularization, which captures implicit complexity control without requiring explicit regularization. This is motivated by previous observations…

Machine Learning · Statistics 2026-03-19 Max Schölpple , Liu Fanghui , Ingo Steinwart

Dataset distillation compresses large-scale datasets into compact, highly informative synthetic data, significantly reducing storage and training costs. However, existing research primarily focuses on balanced datasets and struggles to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Chenyang Jiang , Hang Zhao , Xinyu Zhang , Zhengcen Li , Qiben Shan , Shaocong Wu , Jingyong Su

Establishing a theoretical analysis that explains why deep learning can outperform shallow learning such as kernel methods is one of the biggest issues in the deep learning literature. Towards answering this question, we evaluate excess…

Machine Learning · Statistics 2020-12-08 Taiji Suzuki , Shunta Akiyama

The variance in class-wise sample sizes within long-tailed scenarios often results in degraded performance in less frequent classes. Fortunately, foundation models, pre-trained on vast open-world datasets, demonstrate strong potential for…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Yufei Peng , Yonggang Zhang , Yiu-ming Cheung

We investigate the applicability of divisible residuated lattices (DRLs) as a general evaluation framework for soft constraint satisfaction problems (soft CSPs). DRLs are in fact natural candidates for this role, since they form the…

Logic in Computer Science · Computer Science 2008-05-22 Simone Bova

The study of tail behaviour of SGD-induced processes has been attracting a lot of interest, due to offering strong guarantees with respect to individual runs of an algorithm. While many works provide high-probability guarantees, quantifying…

Machine Learning · Computer Science 2026-02-06 Aleksandar Armacki , Dragana Bajović , Dušan Jakovetić , Soummya Kar , Ali H. Sayed
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