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The $\ell_0$-constrained empirical risk minimization ($\ell_0$-ERM) is a promising tool for high-dimensional statistical estimation. The existing analysis of $\ell_0$-ERM estimator is mostly on parameter estimation and support recovery…

Statistics Theory · Mathematics 2020-01-22 Xiao-Tong Yuan , Ping Li

While standard Empirical Risk Minimization (ERM) training is proven effective for image classification on in-distribution data, it fails to perform well on out-of-distribution samples. One of the main sources of distribution shift for image…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Fahimeh Hosseini Noohdani , Parsa Hosseini , Aryan Yazdan Parast , Hamidreza Yaghoubi Araghi , Mahdieh Soleymani Baghshah

We study a variant of Collaborative PAC Learning, in which we aim to learn an accurate classifier for each of the $n$ data distributions, while minimizing the number of samples drawn from them in total. Unlike in the usual collaborative…

Machine Learning · Computer Science 2024-05-24 Yuyang Deng , Mingda Qiao

Toxicity classification in textual content remains a significant problem. Data with labels from a single annotator fall short of capturing the diversity of human perspectives. Therefore, there is a growing need to incorporate crowdsourced…

Artificial Intelligence · Computer Science 2024-11-11 Zelei Cheng , Xian Wu , Jiahao Yu , Shuo Han , Xin-Qiang Cai , Xinyu Xing

We develop new methods to integrate experimental and observational data in causal inference. While randomized controlled trials offer strong internal validity, they are often costly and therefore limited in sample size. Observational data,…

Econometrics · Economics 2025-11-04 Xuelin Yang , Licong Lin , Susan Athey , Michael I. Jordan , Guido W. Imbens

We study a class of iterated empirical risk minimization (ERM) procedures in which two successive ERMs are performed on the same dataset, and the predictions of the first estimator enter as an argument in the loss function of the second.…

Machine Learning · Statistics 2026-02-02 Hugo Cui , Yue M. Lu

Reliable and robust evaluation methods are a necessary first step towards developing machine learning models that are themselves robust and reliable. Unfortunately, current evaluation protocols typically used to assess classifiers fail to…

Machine Learning · Computer Science 2025-05-26 Michael W. Spratling

A fundamental problem in robust learning is asymmetry: a learner needs to correctly classify every one of exponentially-many perturbations that an adversary might make to a test-time natural example. In contrast, the attacker only needs to…

Machine Learning · Computer Science 2024-02-14 Saba Ahmadi , Avrim Blum , Omar Montasser , Kevin Stangl

Deep learning models trained to optimize average accuracy often exhibit systematic failures on particular subpopulations. In real world settings, the subpopulations most affected by such disparities are frequently unlabeled or unknown,…

Machine Learning · Computer Science 2026-02-10 Abinitha Gourabathina , Hyewon Jeong , Teya Bergamaschi , Marzyeh Ghassemi , Collin Stultz

Variable selection for models including interactions between explanatory variables often needs to obey certain hierarchical constraints. The weak or strong structural hierarchy requires that the existence of an interaction term implies at…

Statistics Theory · Mathematics 2016-11-10 Yiyuan She , Zhifeng Wang , He Jiang

Machine learning models have exhibited exceptional results in various domains. The most prevalent approach for learning is the empirical risk minimizer (ERM), which adapts the model's weights to reduce the loss on a training set and…

Machine Learning · Computer Science 2024-12-11 Koby Bibas

The successful application of machine learning (ML) methods becomes increasingly dependent on their interpretability or explainability. Designing explainable ML systems is instrumental to ensuring transparency of automated decision-making…

Machine Learning · Computer Science 2022-07-04 L. Zhang , G. Karakasidis , A. Odnoblyudova , L. Dogruel , A. Jung

Machine learning classification models trained with empirical risk minimization (ERM) often inadvertently rely on spurious correlations. When absent in the test data, these unintended associations between non-target attributes and target…

Machine Learning · Computer Science 2025-08-12 Ihab Asaad , Maha Shadaydeh , Joachim Denzler

Learning from positive and unlabeled data is known as positive-unlabeled (PU) learning in literature and has attracted much attention in recent years. One common approach in PU learning is to sample a set of pseudo-negatives from the…

Machine Learning · Computer Science 2023-08-02 Zhangchi Zhu , Lu Wang , Pu Zhao , Chao Du , Wei Zhang , Hang Dong , Bo Qiao , Qingwei Lin , Saravan Rajmohan , Dongmei Zhang

Machine learning algorithms with empirical risk minimization usually suffer from poor generalization performance due to the greedy exploitation of correlations among the training data, which are not stable under distributional shifts.…

Machine Learning · Computer Science 2021-06-18 Jiashuo Liu , Zheyuan Hu , Peng Cui , Bo Li , Zheyan Shen

Uncertainty is ubiquitous in real-world data, and the assumptions underlying classical linear regression models are often violated in practice. Inspired by the theory of sublinear expectation, we consider a linear regression model where the…

Statistics Theory · Mathematics 2026-04-28 Xifeng Li , Shuzhen Yang

Pairwise similarities and dissimilarities between data points might be easier to obtain than fully labeled data in real-world classification problems, e.g., in privacy-aware situations. To handle such pairwise information, an empirical risk…

Machine Learning · Computer Science 2019-04-29 Takuya Shimada , Han Bao , Issei Sato , Masashi Sugiyama

In settings where both spurious and causal predictors are available, standard neural networks trained under the objective of empirical risk minimization (ERM) with no additional inductive biases tend to have a dependence on a spurious…

Machine Learning · Computer Science 2025-03-07 Louis McConnell

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

Machine learning systems are increasingly being used to make impactful decisions such as loan applications and criminal justice risk assessments, and as such, ensuring fairness of these systems is critical. This is often challenging as the…

Machine Learning · Computer Science 2020-12-18 YooJung Choi , Meihua Dang , Guy Van den Broeck
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