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For various applications, the relations between the dependent and independent variables are highly nonlinear. Consequently, for large scale complex problems, neural networks and regression trees are commonly preferred over linear models…

Machine Learning · Computer Science 2017-05-23 Samet Oymak , Mehrdad Mahdavi , Jiasi Chen

Sparse inversion and classification problems are ubiquitous in modern data science and imaging. They are often formulated as non-smooth minimisation problems. In sparse inversion, we minimise, e.g., the sum of a data fidelity term and an…

Numerical Analysis · Mathematics 2022-11-23 Jonas Latz

Deep learning models often achieve high performance by inadvertently learning spurious correlations between targets and non-essential features. For example, an image classifier may identify an object via its background that spuriously…

Machine Learning · Computer Science 2025-06-19 Guangtao Zheng , Wenqian Ye , Aidong Zhang

Estimating a distribution given access to its unnormalized density is pivotal in Bayesian inference, where the posterior is generally known only up to an unknown normalizing constant. Variational inference and Markov chain Monte Carlo…

Machine Learning · Statistics 2025-05-06 Daniel Ward , Mark Beaumont , Matteo Fasiolo

Consider a classification problem where we do not have access to labels for individual training examples, but only have average labels over subpopulations. We give practical examples of this setup and show how such a classification task can…

Machine Learning · Statistics 2015-09-16 Stefan Wager , Alexander Blocker , Niall Cardin

Deep neural networks have been shown to be very powerful modeling tools for many supervised learning tasks involving complex input patterns. However, they can also easily overfit to training set biases and label noises. In addition to…

Machine Learning · Computer Science 2019-05-07 Mengye Ren , Wenyuan Zeng , Bin Yang , Raquel Urtasun

Neural networks are central to modern artificial intelligence, yet their training remains highly sensitive to data contamination. Standard neural classifiers are trained by minimizing the categorical cross-entropy loss, corresponding to…

Machine Learning · Statistics 2026-03-19 Suryasis Jana , Abhik Ghosh

Random label noises (or observational noises) widely exist in practical machine learning settings. While previous studies primarily focus on the affects of label noises to the performance of learning, our work intends to investigate the…

Machine Learning · Computer Science 2023-04-04 Haoyi Xiong , Xuhong Li , Boyang Yu , Zhanxing Zhu , Dongrui Wu , Dejing Dou

In this work we consider a problem of multi-label classification, where each instance is associated with some binary vector. Our focus is to find a classifier which minimizes false negative discoveries under constraints. Depending on the…

Statistics Theory · Mathematics 2019-03-29 Evgenii Chzhen

Extreme classification tasks are multi-label tasks with an extremely large number of labels (tags). These tasks are hard because the label space is usually (i) very large, e.g. thousands or millions of labels, (ii) very sparse, i.e. very…

Machine Learning · Computer Science 2020-12-04 Elham J. Barezi , Iacer Calixto , Kyunghyun Cho , Pascale Fung

Spurious correlations that lead models to correct predictions for the wrong reasons pose a critical challenge for robust real-world generalization. Existing research attributes this issue to group imbalance and addresses it by maximizing…

Machine Learning · Computer Science 2025-12-02 Miaoyun Zhao , Chenrong Li , Qiang Zhang

The l1-regularized logistic regression (or sparse logistic regression) is a widely used method for simultaneous classification and feature selection. Although many recent efforts have been devoted to its efficient implementation, its…

Machine Learning · Computer Science 2013-07-22 Jie Wang , Jiayu Zhou , Jun Liu , Peter Wonka , Jieping Ye

We study the problem of multivariate regression where the data are naturally grouped, and a regression matrix is to be estimated for each group. We propose an approach in which a dictionary of low rank parameter matrices is estimated across…

Machine Learning · Computer Science 2012-07-03 Min Xu , John Lafferty

Deep clustering, which learns representation and semantic clustering without labels information, poses a great challenge for deep learning-based approaches. Despite significant progress in recent years, most existing methods focus on…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Chuyu Zhang , Hui Ren , Xuming He

The robustness of machine learning models can be compromised by spurious correlations between non-causal features in the input data and target labels. A common way to test for such correlations is to train on data where the label is…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Akshit Achara , Yovin Yathathugoda , Nick Byrne , Michela Antonelli , Esther Puyol Anton , Alexander Hammers , Andrew P. King

Many industry verticals are confronted with small-sized tabular data. In this low-data regime, it is currently unclear whether the best performance can be expected from simple baselines, or more complex machine learning approaches that…

Machine Learning · Computer Science 2024-05-14 Ricardo Knauer , Erik Rodner

We consider multi-label prediction problems with large output spaces under the assumption of output sparsity -- that the target (label) vectors have small support. We develop a general theory for a variant of the popular error correcting…

Machine Learning · Computer Science 2009-06-02 Daniel Hsu , Sham M. Kakade , John Langford , Tong Zhang

Learning low-dimensional latent representations is a central topic in statistics and machine learning, and rotation methods have long been used to obtain sparse and interpretable representations. Despite nearly a century of widespread use…

Methodology · Statistics 2026-02-27 Chengyu Cui , Yunxiao Chen , Jing Ouyang , Gongjun Xu

The assumption that response and predictor belong to the same statistical unit may be violated in practice. Unbiased estimation and recovery of true label ordering based on unlabeled data are challenging tasks and have attracted increasing…

Methodology · Statistics 2022-06-24 Guanhua Fang , Ping Li

In this paper we revisit the risk bounds of the lasso estimator in the context of transductive and semi-supervised learning. In other terms, the setting under consideration is that of regression with random design under partial labeling.…

Statistics Theory · Mathematics 2016-11-09 Pierre C. Bellec , Arnak S. Dalalyan , Edwin Grappin , Quentin Paris