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Empirical risk minimization is the main tool for prediction problems, but its extension to relational data remains unsolved. We solve this problem using recent ideas from graph sampling theory to (i) define an empirical risk for relational…

Machine Learning · Statistics 2019-02-25 Victor Veitch , Morgane Austern , Wenda Zhou , David M. Blei , Peter Orbanz

A central problem in the theory of multi-agent reinforcement learning (MARL) is to understand what structural conditions and algorithmic principles lead to sample-efficient learning guarantees, and how these considerations change as we move…

Machine Learning · Computer Science 2023-05-02 Dylan J. Foster , Dean P. Foster , Noah Golowich , Alexander Rakhlin

Many real-life optimization problems frequently contain one or more constraints or objectives for which there are no explicit formulas. If data is however available, these data can be used to learn the constraints. The benefits of this…

Machine Learning · Computer Science 2022-09-23 Adejuyigbe Fajemisin , Donato Maragno , Dick den Hertog

Invariant risk minimization (IRM) has received increasing attention as a way to acquire environment-agnostic data representations and predictions, and as a principled solution for preventing spurious correlations from being learned and for…

Machine Learning · Computer Science 2023-03-07 Yihua Zhang , Pranay Sharma , Parikshit Ram , Mingyi Hong , Kush Varshney , Sijia Liu

Robust optimization (RO) is a common approach to tractably obtain safeguarding solutions for optimization problems with uncertain constraints. In this paper, we study a statistical framework to integrate data into RO, based on learning a…

Optimization and Control · Mathematics 2020-03-03 L. Jeff Hong , Zhiyuan Huang , Henry Lam

Model-based reinforcement learning approaches carry the promise of being data efficient. However, due to challenges in learning dynamics models that sufficiently match the real-world dynamics, they struggle to achieve the same asymptotic…

Machine Learning · Computer Science 2018-09-17 Ignasi Clavera , Jonas Rothfuss , John Schulman , Yasuhiro Fujita , Tamim Asfour , Pieter Abbeel

We study the problem of incorporating risk while making combinatorial decisions under uncertainty. We formulate a discrete submodular maximization problem for selecting a set using Conditional-Value-at-Risk (CVaR), a risk metric commonly…

Robotics · Computer Science 2022-03-21 Lifeng Zhou , Pratap Tokekar

We consider a general statistical learning problem where an unknown fraction of the training data is corrupted. We develop a robust learning method that only requires specifying an upper bound on the corrupted data fraction. The method…

Machine Learning · Statistics 2020-02-10 Muhammad Osama , Dave Zachariah , Peter Stoica

Meta reinforcement learning (Meta-RL) is an approach wherein the experience gained from solving a variety of tasks is distilled into a meta-policy. The meta-policy, when adapted over only a small (or just a single) number of steps, is able…

Machine Learning · Computer Science 2022-09-28 Desik Rengarajan , Sapana Chaudhary , Jaewon Kim , Dileep Kalathil , Srinivas Shakkottai

Consider the empirical risk minimization (ERM) problem, which is stated as follows. Let $K_1, \dots, K_m$ be compact convex sets with $K_i \subseteq \mathbb{R}^{n_i}$ for $i \in [m]$, $n = \sum_{i=1}^m n_i$, and $n_i\le C_K$ for some…

Data Structures and Algorithms · Computer Science 2025-12-02 Yang P. Liu , Richard Peng , Colin Tang , Albert Weng , Junzhao Yang

Quantifying the data uncertainty in learning tasks is often done by learning a prediction interval or prediction set of the label given the input. Two commonly desired properties for learned prediction sets are \emph{valid coverage} and…

Machine Learning · Computer Science 2022-05-31 Yu Bai , Song Mei , Huan Wang , Yingbo Zhou , Caiming Xiong

Supervised classification techniques use training samples to find classification rules with small expected 0-1 loss. Conventional methods achieve efficient learning and out-of-sample generalization by minimizing surrogate losses over…

Machine Learning · Statistics 2021-08-12 Santiago Mazuelas , Andrea Zanoni , Aritz Perez

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

Many real-world domains are subject to a structured non-stationarity which affects the agent's goals and the environmental dynamics. Meta-reinforcement learning (RL) has been shown successful for training agents that quickly adapt to…

Machine Learning · Computer Science 2021-05-20 Riccardo Poiani , Andrea Tirinzoni , Marcello Restelli

Model-based reinforcement learning (MBRL) is a crucial approach to enhance the generalization capabilities and improve the sample efficiency of RL algorithms. However, current MBRL methods focus primarily on building world models for single…

Machine Learning · Computer Science 2025-11-11 Xuantang Xiong , Ni Mu , Runpeng Xie , Senhao Yang , Yaqing Wang , Lexiang Wang , Yao Luan , Siyuan Li , Shuang Xu , Yiqin Yang , Bo Xu

Obtaining accurate class labels is often costly or unreliable, and may also be limited by privacy or other practical conditions. Compared with asking an annotator to provide the exact class, it is often easier to ask whether the true label…

Machine Learning · Computer Science 2026-05-11 Jiaxu Su , Junpeng Li , Changchun Hua , Yana Yang

Training and deploying machine learning models that meet fairness criteria for protected groups are fundamental in modern artificial intelligence. While numerous constraints and regularization terms have been proposed in the literature to…

Machine Learning · Computer Science 2024-04-09 Sina Baharlouei , Shivam Patel , Meisam Razaviyayn

For many applications of reinforcement learning it can be more convenient to specify both a reward function and constraints, rather than trying to design behavior through the reward function. For example, systems that physically interact…

Machine Learning · Computer Science 2017-05-31 Joshua Achiam , David Held , Aviv Tamar , Pieter Abbeel

Traditionally, reinforcement learning methods predict the next action based on the current state. However, in many situations, directly applying actions to control systems or robots is dangerous and may lead to unexpected behaviors because…

Robotics · Computer Science 2020-11-03 Nan Lin , Yuxuan Li , Yujun Zhu , Ruolin Wang , Xiayu Zhang , Jianmin Ji , Keke Tang , Xiaoping Chen , Xinming Zhang

The empirical success of large language model (LLM) pre-training relies heavily on heuristic stabilization techniques, such as explicit normalization layers and weight decay. While recent constrained optimization approaches that explicitly…

Machine Learning · Computer Science 2026-05-07 Kang An , Jiaxiang Li , Donald Goldfarb , Shiqian Ma