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Related papers: Meta-Learned Invariant Risk Minimization

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Empirical risk minimization (ERM) is not robust to changes in the distribution of data. When the distribution of test data is different from that of training data, the problem is known as out-of-distribution generalization. Recently, two…

Computer Vision and Pattern Recognition · Computer Science 2025-01-16 Shijian Xu

A fundamental challenge in physics-informed machine learning (PIML) is the design of robust PIML methods for out-of-distribution (OOD) forecasting tasks. These OOD tasks require learning-to-learn from observations of the same (ODE)…

Machine Learning · Computer Science 2023-03-07 S Chandra Mouli , Muhammad Ashraful Alam , Bruno Ribeiro

In this paper we study the differentially private Empirical Risk Minimization (ERM) problem in different settings. For smooth (strongly) convex loss function with or without (non)-smooth regularization, we give algorithms that achieve…

Machine Learning · Computer Science 2018-02-15 Di Wang , Minwei Ye , Jinhui Xu

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

In learning-to-learn the goal is to infer a learning algorithm that works well on a class of tasks sampled from an unknown meta distribution. In contrast to previous work on batch learning-to-learn, we consider a scenario where tasks are…

Machine Learning · Statistics 2018-03-23 Giulia Denevi , Carlo Ciliberto , Dimitris Stamos , Massimiliano Pontil

This paper presents a model-free reinforcement learning (RL) algorithm to solve the risk-averse optimal control (RAOC) problem for discrete-time nonlinear systems. While successful RL algorithms have been presented to learn optimal control…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Yuzhen Han , Majid Mazouchi , Subramanya Nageshrao , Hamidreza Modares

In this paper, we consider the problem of empirical risk minimization (ERM) of smooth, strongly convex loss functions using iterative gradient-based methods. A major goal of this literature has been to compare different algorithms, such as…

Machine Learning · Computer Science 2020-11-06 Ali Jadbabaie , Anuran Makur , Devavrat Shah

Most offline reinforcement learning (RL) methods suffer from the trade-off between improving the policy to surpass the behavior policy and constraining the policy to limit the deviation from the behavior policy as computing $Q$-values using…

Machine Learning · Computer Science 2023-03-29 Haoran Xu , Li Jiang , Jianxiong Li , Zhuoran Yang , Zhaoran Wang , Victor Wai Kin Chan , Xianyuan Zhan

In this paper, we study the generalization performance of global minima for implementing empirical risk minimization (ERM) on over-parameterized deep ReLU nets. Using a novel deepening scheme for deep ReLU nets, we rigorously prove that…

Machine Learning · Computer Science 2023-03-01 Shao-Bo Lin , Yao Wang , Ding-Xuan Zhou

We establish risk bounds for Regularized Empirical Risk Minimizers (RERM) when the loss is Lipschitz and convex and the regularization function is a norm. In a first part, we obtain these results in the i.i.d. setup under subgaussian…

Statistics Theory · Mathematics 2021-01-07 Geoffrey Chinot , Guillaume Lecué , Matthieu Lerasle

A common explanation for the failure of out-of-distribution (OOD) generalization is that the model trained with empirical risk minimization (ERM) learns spurious features instead of invariant features. However, several recent studies…

Machine Learning · Computer Science 2023-10-31 Yongqiang Chen , Wei Huang , Kaiwen Zhou , Yatao Bian , Bo Han , James Cheng

By searching for shared inductive biases across tasks, meta-learning promises to accelerate learning on novel tasks, but with the cost of solving a complex bilevel optimization problem. We introduce and rigorously define the trade-off…

Machine Learning · Computer Science 2021-04-15 Katelyn Gao , Ozan Sener

Purpose: This work aims at developing a generalizable MRI reconstruction model in the meta-learning framework. The standard benchmarks in meta-learning are challenged by learning on diverse task distributions. The proposed network learns…

Computer Vision and Pattern Recognition · Computer Science 2021-10-05 Wanyu Bian , Yunmei Chen , Xiaojing Ye , Qingchao Zhang

In this paper, we propose a general class of algorithms for optimizing an extensive variety of nonsmoothly penalized objective functions that satisfy certain regularity conditions. The proposed framework utilizes the…

Computation · Statistics 2011-01-24 Elizabeth D. Schifano , Robert L. Strawderman , Martin T. Wells

Multi-distribution or collaborative learning involves learning a single predictor that works well across multiple data distributions, using samples from each during training. Recent research on multi-distribution learning, focusing on…

Machine Learning · Computer Science 2024-09-27 Kasper Green Larsen , Omar Montasser , Nikita Zhivotovskiy

We propose a new \emph{Transformed Risk Minimization} (TRM) framework as an extension of classical risk minimization. In TRM, we optimize not only over predictive models, but also over data transformations; specifically over distributions…

Machine Learning · Computer Science 2023-10-09 Evangelos Chatzipantazis , Stefanos Pertigkiozoglou , Kostas Daniilidis , Edgar Dobriban

Gradient-based meta-learners such as Model-Agnostic Meta-Learning (MAML) have shown strong few-shot performance in supervised and reinforcement learning settings. However, specifically in the case of meta-reinforcement learning (meta-RL),…

Machine Learning · Computer Science 2020-02-20 Bhairav Mehta , Tristan Deleu , Sharath Chandra Raparthy , Chris J. Pal , Liam Paull

Representation learning has been widely studied in the context of meta-learning, enabling rapid learning of new tasks through shared representations. Recent works such as MAML have explored using fine-tuning-based metrics, which measure the…

Machine Learning · Computer Science 2021-05-06 Kurtland Chua , Qi Lei , Jason D. Lee

In this paper, we address the problem of reference tracking for uncertain nonlinear systems. Since collecting data from the target system (i.e., the system of interest) is often challenging, our objective is to design optimal controllers…

Artificial Intelligence · Computer Science 2026-05-22 Jiaqi Yan , Ankush Chakrabarty , Niklas Schmid , John Lygeros , Alisa Rupenyan

We study the minimal error of the Empirical Risk Minimization (ERM) procedure in the task of regression, both in the random and the fixed design settings. Our sharp lower bounds shed light on the possibility (or impossibility) of adapting…

Statistics Theory · Mathematics 2021-02-25 Gil Kur , Alexander Rakhlin