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In this paper, we develop a stochastic set-valued optimization (SVO) framework tailored for robust machine learning. In the SVO setting, each decision variable is mapped to a set of objective values, and optimality is defined via set…

Optimization and Control · Mathematics 2026-03-19 Tommaso Giovannelli , Jingfu Tan , Luis Nunes Vicente

We propose a numerical recipe for risk evaluation defined by a backward stochastic differential equation. Using dual representation of the risk measure, we convert the risk valuation to a stochastic control problem where the control is a…

Optimization and Control · Mathematics 2020-08-24 Andrzej Ruszczynski , Jianing Yao

Self-driving vehicles (SDVs) hold great potential for improving traffic safety and are poised to positively affect the quality of life of millions of people. To unlock this potential one of the critical aspects of the autonomous technology…

The goal of this paper is to develop distributionally robust optimization (DRO) estimators, specifically for multidimensional Extreme Value Theory (EVT) statistics. EVT supports using semi-parametric models called max-stable distributions…

Machine Learning · Statistics 2024-08-02 Patrick Kuiper , Ali Hasan , Wenhao Yang , Yuting Ng , Hoda Bidkhori , Jose Blanchet , Vahid Tarokh

Policy gradient methods are appealing in deep reinforcement learning but suffer from high variance of gradient estimate. To reduce the variance, the state value function is applied commonly. However, the effect of the state value function…

Machine Learning · Computer Science 2021-08-06 Jiaming Guo , Rui Zhang , Xishan Zhang , Shaohui Peng , Qi Yi , Zidong Du , Xing Hu , Qi Guo , Yunji Chen

This paper studies the problem of optimal flow control in dynamic inventory systems. A dynamic optimal distribution problem, including time-varying supply and demand, capacity constraints on the transportation lines, and convex flow cost…

Optimization and Control · Mathematics 2014-03-28 Mathias Bürger , Claudio De Persis , Frank Allgöwer

Unlike traditional model-based reinforcement learning approaches that estimate system parameters from data, non-model-based data-driven control learns the optimal policy directly from input-state data without any intermediate model…

Optimization and Control · Mathematics 2026-05-05 Leilei Cui , Zhong-Ping Jiang , Petter N. Kolm , Grégoire G. Macqueron

This paper proposes a statistically optimal approach for learning a function value using a confidence interval in a wide range of models, including general non-parametric estimation of an expected loss described as a stochastic programming…

Machine Learning · Statistics 2025-08-07 Arnab Ganguly , Tobias Sutter

We consider the problem of training machine learning models on distributed data in a decentralized way. For finite-sum problems, fast single-machine algorithms for large datasets rely on stochastic updates combined with variance reduction.…

Optimization and Control · Mathematics 2020-06-26 Hadrien Hendrikx , Francis Bach , Laurent Massoulié

When transferring a control policy from simulation to a physical system, the policy needs to be robust to variations in the dynamics to perform well. Commonly, the optimal policy overfits to the approximate model and the corresponding…

Machine Learning · Computer Science 2021-05-27 Michael Lutter , Shie Mannor , Jan Peters , Dieter Fox , Animesh Garg

We consider the problem of stochastic optimal control, where the state-feedback control policies take the form of a probability distribution and where a penalty on the entropy is added. By viewing the cost function as a Kullback- Leibler…

Optimization and Control · Mathematics 2024-12-12 Marc Lambert , Francis Bach , Silvère Bonnabel

With the recent advancements in machine learning (ML), artificial neural networks (ANN) are starting to play an increasingly important role in quantitative finance. Dynamic portfolio optimization is among many problems that have…

Portfolio Management · Quantitative Finance 2024-11-18 Yaacov Kopeliovich , Michael Pokojovy

Economic forecasting is concerned with the estimation of some variable like gross domestic product (GDP) in the next period given a set of variables that describes the current situation or state of the economy, including industrial…

Econometrics · Economics 2024-04-08 Pedro Afonso Fernandes

While large-scale training data is fundamental for developing capable large language models (LLMs), strategically selecting high-quality data has emerged as a critical approach to enhance training efficiency and reduce computational costs.…

Machine Learning · Computer Science 2025-07-23 Yang Yu , Kai Han , Hang Zhou , Yehui Tang , Kaiqi Huang , Yunhe Wang , Dacheng Tao

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

Optimization and Control · Mathematics 2024-01-04 Yuya Hikima , Akiko Takeda

Embedding is a useful technique to project a high-dimensional feature into a low-dimensional space, and it has many successful applications including link prediction, node classification and natural language processing. Current approaches…

Information Retrieval · Computer Science 2020-09-21 Meimei Liu , Hongxia Yang

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Prakash Mallick , Zhiyong Chen

Interactive adaptive systems powered by Reinforcement Learning (RL) have many potential applications, such as intelligent tutoring systems. In such systems there is typically an external human system designer that is creating, monitoring…

Artificial Intelligence · Computer Science 2020-04-06 Ramtin Keramati , Emma Brunskill

With the rapid development of vision tasks and the scaling on datasets and models, redundancy reduction in vision datasets has become a key area of research. To address this issue, dataset distillation (DD) has emerged as a promising…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Yinjie Zhao , Heng Zhao , Bihan Wen , Yew-Soon Ong , Joey Tianyi Zhou

Networked dynamic systems are ubiquitous in various domains, such as industrial processes, social networks, and biological systems. These systems produce high-dimensional data that reflect the complex interactions among the network nodes…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Jiaxin Yu , Yanfang Mo , S. Joe Qin
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