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We propose a distributionally robust index tracking model with the conditional value-at-risk (CVaR) penalty. The model combines the idea of distributionally robust optimization for data uncertainty and the CVaR penalty to avoid large…

Optimization and Control · Mathematics 2023-09-12 Ruyu Wang , Yaozhong Hu , Chao Zhang

Reinforcement learning with verifiable rewards (RLVR) has become a standard paradigm for post-training large language models. While Group Relative Policy Optimization (GRPO) is widely adopted, its coarse credit assignment uniformly…

Machine Learning · Computer Science 2026-04-03 Gengsheng Li , Tianyu Yang , Junfeng Fang , Mingyang Song , Mao Zheng , Haiyun Guo , Dan Zhang , Jinqiao Wang , Tat-Seng Chua

Synthesizing information from multiple data sources is crucial for constructing accurate individualized treatment rules (ITRs). However, privacy concerns often present significant barriers to the integrative analysis of such multi-source…

Methodology · Statistics 2025-11-11 Nan Qiao , Wangcheng Li , Jingxiao Zhang , Canyi Chen

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

We treat the so-called scenario approach, a popular probabilistic approximation method for robust minmax optimization problems via independent and indentically distributed (i.i.d) sampling from the uncertainty set, from various…

Optimization and Control · Mathematics 2024-09-23 Mishal Assif P K , Debasish Chatterjee , Ravi Banavar

Recently, reinforcement learning (RL) has been employed for improving generative image super-resolution (ISR) performance. However, the current efforts are focused on multi-step generative ISR, while one-step generative ISR remains…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Qiaosi Yi , Shuai Li , Rongyuan Wu , Lingchen Sun , Zhengqiang Zhang , Lei Zhang

In this paper, we address the problem of predicting a response variable in the context of both, spatially correlated and high-dimensional data. To reduce the dimensionality of the predictor variables, we apply the sufficient dimension…

Methodology · Statistics 2025-02-06 Liliana Forzani , Rodrigo García Arancibia , Antonella Gieco , Pamela Llop , Anne Yao

We propose a hybrid algorithmic strategy for complex stochastic optimization problems, which combines the use of scenario trees from multistage stochastic programming with machine learning techniques for learning a policy in the form of a…

Optimization and Control · Mathematics 2019-10-25 Boris Defourny , Damien Ernst , Louis Wehenkel

Combinatorial optimization serves as an essential part in many modern industrial applications. A great number of the problems are offline setting due to safety and/or cost issues. While simulation-based approaches appear difficult to…

Machine Learning · Computer Science 2020-07-21 Wenpeng Wei , Toshiko Aizono

This paper proposes a new framework to compute finite-horizon safety guarantees for discrete-time piece-wise affine systems with stochastic noise of unknown distributions. The approach is based on a novel approach to synthesise a stochastic…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Frederik Baymler Mathiesen , Licio Romao , Simeon C. Calvert , Alessandro Abate , Luca Laurenti

Distribution shifts and minority subpopulations frequently undermine the reliability of deep neural networks trained using Empirical Risk Minimization (ERM). Distributionally Robust Optimization (DRO) addresses this by optimizing for the…

Machine Learning · Computer Science 2025-11-11 Aheer Sravon , Devdyuti Mazumder , Md. Ibrahim

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…

Artificial Intelligence · Computer Science 2018-10-30 Lifeng Zhou , Pratap Tokekar

Safety is a core challenge of autonomous robot motion planning, especially in the presence of dynamic and uncertain obstacles. Many recent results use learning and deep learning-based motion planners and prediction modules to predict…

Robotics · Computer Science 2023-09-19 Sleiman Safaoui , Tyler H. Summers

The supply of electrical energy is being increasingly sourced from renewable generation resources. The variability and uncertainty of renewable generation, compared to a dispatch-able plant, is a significant dissimilarity of concern to the…

Optimization and Control · Mathematics 2017-11-16 Farhad Samadi Gazijahani , Javad Salehi

A central goal of machine learning is to learn robust representations that capture the causal relationship between inputs features and output labels. However, minimizing empirical risk over finite or biased datasets often results in models…

Machine Learning · Computer Science 2021-06-15 Chunting Zhou , Xuezhe Ma , Paul Michel , Graham Neubig

Symbolic Regression (SR) algorithms attempt to learn analytic expressions which fit data accurately and in a highly interpretable manner. Conventional SR suffers from two fundamental issues which we address here. First, these methods search…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-05 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

Rare events in Stochastic Vector Addition System (VAS) are of significant interest because, while extremely unlikely, they may represent undesirable behavior that can have adverse effects. Their low probabilities and potentially extremely…

Formal Languages and Automata Theory · Computer Science 2025-07-24 Joshua Jeppson , Landon Taylor , Bingqing Hu , Zhen Zhang

We study episodic reinforcement learning (RL) in non-stationary linear kernel Markov decision processes (MDPs). In this setting, both the reward function and the transition kernel are linear with respect to the given feature maps and are…

Machine Learning · Computer Science 2024-12-24 Han Zhong , Zhongren Chen , Zhuoran Yang , Zhaoran Wang , Csaba Szepesvári

We study a class of two-stage stochastic programs, namely, those with fixed recourse matrix and fixed costs, and linear second stage. We show that, under mild assumptions, the problem can be solved with just one scenario, which we call an…

Optimization and Control · Mathematics 2025-10-29 Tito Homem-de-Mello , Juan Valencia , Felipe Lagos , Guido Lagos

This paper studies closed-loop chance constrained control problems with disturbance feedback (equivalently state feedback) where state and input vectors must remain in a prescribed polytopic safe region with a predefined confidence level.…

Optimization and Control · Mathematics 2020-01-16 Hossein Sartipizadeh , Behçet Açikmeşe