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The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

Over the years, Digital Twin (DT) has become popular in Advanced Manufacturing (AM) due to its ability to improve production efficiency and quality. By creating virtual replicas of physical assets, DTs help in real-time monitoring, develop…

Computational Engineering, Finance, and Science · Computer Science 2024-11-05 Chas Hamel , Md Manjurul Ahsan , Shivakumar Raman

In precision medicine, Dynamic Treatment Regimes (DTRs) are treatment protocols that adapt over time in response to a patient's observed characteristics. A DTR is a set of decision functions that takes an individual patient's information as…

Methodology · Statistics 2022-03-17 Cong Jiang , Michael Wallace , Mary Thompson

Online optimisation facilitates the solution of dynamic inverse problems, such as image stabilisation, fluid flow monitoring, and dynamic medical imaging. In this paper, we improve upon previous work on predictive online primal-dual methods…

Optimization and Control · Mathematics 2025-02-28 Neil Dizon , Jyrki Jauhiainen , Tuomo Valkonen

We consider the problem of sequentially making decisions that are rewarded by "successes" and "failures" which can be predicted through an unknown relationship that depends on a partially controllable vector of attributes for each instance.…

Machine Learning · Statistics 2017-09-18 Yingfei Wang , Chu Wang , Warren Powell

Power systems are inherently multi-timescale systems, with different physical phenomena and decision-making processes spanning multiple timescales, time horizons, and geographic scopes. I envision power systems digital twins (DTs) as…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Pedro P. Vergara

Emerging digital twin technology has the potential to revolutionize voltage control in power systems. However, the state-of-the-art digital twin method suffers from low computational and sampling efficiency, which hinders its applications.…

Machine Learning · Computer Science 2024-12-11 Jiachen Xu , Yushuai Li , Torben Bach Pedersen , Yuqiang He , Kim Guldstrand Larsen , Tianyi Li

Human digital twin (HDT) is an emerging paradigm that bridges physical twins (PTs) with powerful virtual twins (VTs) for assisting complex task executions in human-centric services. In this paper, we study a two-timescale online…

Networking and Internet Architecture · Computer Science 2024-01-31 Yuye Yang , You Shi , Changyan Yi , Jun Cai , Jiawen Kang , Dusit Niyato , Xuemin , Shen

Optimizing modern wireless networks is exceptionally challenging due to their high dynamism and complexity. While the agentic artificial intelligence (AI) powered by reinforcement learning (RL) offers a promising solution, its practical…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Zhenyu Tao , Wei Xu , Xiaohu You

This paper presents Post-Decision Proximal Policy Optimization (PDPPO), a novel variation of the leading deep reinforcement learning method, Proximal Policy Optimization (PPO). The PDPPO state transition process is divided into two steps: a…

Despite the growing popularity of digital twin (DT) developments, there is a lack of common understanding and definition for important concepts of DT. It is needed to address this gap by building a shared understanding of DT before it…

Software Engineering · Computer Science 2023-12-08 Zhengyu Liu , Sina Namaki Araghi , Arkopaul Sarkar , Mohamed Hedi Karray

Trustworthy ML systems should not only return accurate predictions, but also a reliable representation of their uncertainty. Bayesian methods are commonly used to quantify both aleatoric and epistemic uncertainty, but alternative…

Artificial Intelligence · Computer Science 2024-09-11 Mira Jürgens , Nis Meinert , Viktor Bengs , Eyke Hüllermeier , Willem Waegeman

We employ optimal control theory to study the problem of estimating the probability density function from a data set originating from an unknown probability distribution. The original variational problem is reformulated as a multi-stage…

Optimization and Control · Mathematics 2025-10-02 Markus Hegland , C. Yalçın Kaya

In this paper, we propose an Adaptive Neuro-Symbolic Learning and Reasoning Framework for digital twin technology called "ANSR-DT." Digital twins in industrial environments often struggle with interpretability, real-time adaptation, and…

Artificial Intelligence · Computer Science 2025-12-02 Safayat Bin Hakim , Muhammad Adil , Alvaro Velasquez , Houbing Herbert Song

Solving nonlinear optimal control problems is a challenging task, particularly for high-dimensional problems. We propose algorithms for model-based policy iterations to solve nonlinear optimal control problems with convergence guarantees.…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Yiming Meng , Ruikun Zhou , Amartya Mukherjee , Maxwell Fitzsimmons , Christopher Song , Jun Liu

In dual decomposition, the dual to an optimization problem with a specific structure is solved in distributed fashion using (sub)gradient and recently also fast gradient methods. The traditional dual decomposition suffers from two main…

Optimization and Control · Mathematics 2014-04-08 Pontus Giselsson

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

Optimization and Control · Mathematics 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

Sequential multi-class diagnosis, also known as multi-hypothesis testing, is a classical sequential decision problem with broad applications. However, the optimal solution remains, in general, unknown as the dynamic program suffers from the…

Information Theory · Computer Science 2020-12-07 Jue Wang

A digital twin contains up-to-date data-driven models of the physical world being studied and can use simulation to optimise the physical world. However, the analysis made by the digital twin is valid and reliable only when the model is…

Artificial Intelligence · Computer Science 2024-11-01 Nan Zhang , Rami Bahsoon , Nikos Tziritas , Georgios Theodoropoulos

Clinical decision support must adapt online under safety constraints. We present an online adaptive tool where reinforcement learning provides the policy, a patient digital twin provides the environment, and treatment effect defines the…

Artificial Intelligence · Computer Science 2025-08-26 Xinyu Qin , Ruiheng Yu , Lu Wang