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The field of Machine Learning has changed significantly since the 1970s. However, its most basic principle, Empirical Risk Minimization (ERM), remains unchanged. We propose Functional Risk Minimization~(FRM), a general framework where…

Recently there has been a proliferation of intrinsic motivation (IM) reward-shaping methods to learn in complex and sparse-reward environments. These methods can often inadvertently change the set of optimal policies in an environment,…

Machine Learning · Computer Science 2024-10-17 Grant C. Forbes , Leonardo Villalobos-Arias , Jianxun Wang , Arnav Jhala , David L. Roberts

Empirical risk minimization (ERM) is known in practice to be non-robust to distributional shift where the training and the test distributions are different. A suite of approaches, such as importance weighting, and variants of…

Machine Learning · Computer Science 2023-02-08 Runtian Zhai , Chen Dan , Zico Kolter , Pradeep Ravikumar

Developing simple, sample-efficient learning algorithms for robust classification is a pressing issue in today's tech-dominated world, and current theoretical techniques requiring exponential sample complexity and complicated improper…

Machine Learning · Computer Science 2023-02-07 Robi Bhattacharjee , Max Hopkins , Akash Kumar , Hantao Yu , Kamalika Chaudhuri

Performativity, the phenomenon where outcomes are influenced by predictions, is particularly prevalent in social contexts where individuals strategically respond to a deployed model. In order to preserve the high accuracy of machine…

Machine Learning · Statistics 2025-10-31 Nikita Tsoy , Ivan Kirev , Negin Rahimiyazdi , Nikola Konstantinov

Reinforcement learning (RL) solves sequential decision-making problems via a trial-and-error process interacting with the environment. While RL achieves outstanding success in playing complex video games that allow huge trial-and-error,…

Machine Learning · Computer Science 2022-06-22 Fan-Ming Luo , Tian Xu , Hang Lai , Xiong-Hui Chen , Weinan Zhang , Yang Yu

Efficient allocation is important in nature and human society, where individuals frequently compete for limited resources. The Minority Game (MG) is perhaps the simplest toy model to address this issue. However, most previous solutions…

Physics and Society · Physics 2026-02-04 Guozhong Zheng , Weiran Cai , Guanxiao Qi , Jiqiang Zhang , Li Chen

Inverse reinforcement learning (IRL) usually assumes the reward function model is pre-specified as a weighted sum of features and estimates the weighting parameters only. However, how to select features and determine a proper reward model…

Machine Learning · Computer Science 2025-04-01 Chendi Qu , Jianping He , Xiaoming Duan , Jiming Chen

We consider scenarios where a very accurate (often small) predictive model using restricted features is available when training a full-featured (often larger) model. This restricted model may be thought of as side-information'', and can…

Machine Learning · Computer Science 2025-04-10 Usama Muneeb , Mesrob I. Ohannessian

It has been recognized that the diversity of base learners is of utmost importance to a good ensemble. This paper defines a novel measurement of diversity, termed as exclusivity. With the designed exclusivity, we further propose an ensemble…

Machine Learning · Computer Science 2016-05-17 Xiaojie Guo

A fundamental assumption of most machine learning algorithms is that the training and test data are drawn from the same underlying distribution. However, this assumption is violated in almost all practical applications: machine learning…

Machine Learning · Computer Science 2021-12-02 Marvin Zhang , Henrik Marklund , Nikita Dhawan , Abhishek Gupta , Sergey Levine , Chelsea Finn

Machine learning methods often assume that the test data have the same distribution as the training data. However, this assumption may not hold due to multiple levels of heterogeneity in applications, raising issues in algorithmic fairness…

Machine Learning · Statistics 2024-04-03 Sai Li , Linjun Zhang

Despite empirical risk minimization (ERM) is widely applied in the machine learning community, its performance is limited on data with spurious correlation or subpopulation that is introduced by hidden attributes. Existing literature…

Machine Learning · Computer Science 2024-12-18 Hongyu Shen , Zhizhen Zhao

Neural ranking models (NRMs) have shown great success in information retrieval (IR). But their predictions can easily be manipulated using adversarial examples, which are crafted by adding imperceptible perturbations to legitimate…

Information Retrieval · Computer Science 2023-12-19 Yu-An Liu , Ruqing Zhang , Mingkun Zhang , Wei Chen , Maarten de Rijke , Jiafeng Guo , Xueqi Cheng

Many modern computational approaches to classical problems in quantitative finance are formulated as empirical loss minimization (ERM), allowing direct applications of classical results from statistical machine learning. These methods,…

Machine Learning · Statistics 2022-09-27 A. Max Reppen , H. Mete Soner

Empirical risk minimization (ERM) is ubiquitous in machine learning and underlies most supervised learning methods. While there has been a large body of work on algorithms for various ERM problems, the exact computational complexity of ERM…

Computational Complexity · Computer Science 2017-04-11 Arturs Backurs , Piotr Indyk , Ludwig Schmidt

This paper studies empirical risk minimization (ERM) problems for large-scale datasets and incorporates the idea of adaptive sample size methods to improve the guaranteed convergence bounds for first-order stochastic and deterministic…

Machine Learning · Computer Science 2017-09-05 Aryan Mokhtari , Alejandro Ribeiro

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

This guide provides a reference for high-probability regret bounds in empirical risk minimization (ERM). The presentation is modular: we begin with intuition and general proof strategies, then state broadly applicable guarantees under…

Machine Learning · Statistics 2026-03-04 Lars van der Laan

Currently, machine learning plays an important role in the lives and individual activities of numerous people. Accordingly, it has become necessary to design machine learning algorithms to ensure that discrimination, biased views, or unfair…

Machine Learning · Statistics 2015-11-09 Kazuto Fukuchi , Jun Sakuma