A Comprehensive Review of Digital Twin -- Part 2: Roles of Uncertainty Quantification and Optimization, a Battery Digital Twin, and Perspectives
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Abstract (arXiv)
As an emerging technology in the era of Industry 4.0, digital twin is gaining unprecedented attention because of its promise to further optimize process design, quality control, health monitoring, decision and policy making, and more, by comprehensively modeling the physical world as a group of interconnected digital models. In a two-part series of papers, we examine the fundamental role of different modeling techniques, twinning enabling technologies, and uncertainty quantification and optimization methods commonly used in digital twins. This second paper presents a literature review of key enabling technologies of digital twins, with an emphasis on uncertainty quantification, optimization methods, open source datasets and tools, major findings, challenges, and future directions. Discussions focus on current methods of uncertainty quantification and optimization and how they are applied in different dimensions of a digital twin. Additionally, this paper presents a case study where a battery digital twin is constructed and tested to illustrate some of the modeling and twinning methods reviewed in this two-part review. Code and preprocessed data for generating all the results and figures presented in the case study are available on GitHub.
Key facts. Cited by 18 papers in the map (data through 14 Oct 2026). Builds on 20 of its 266 references that are in the map. First posted on arXiv 27 Aug 2022.
Builds on
20 of 266 references.
References · 20
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- 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,926
- 2017What Uncertainties Do We Need in Bayesian Deep Learning for Computer Vision?cited by 2,352
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- 2021A Survey of Uncertainty in Deep Neural Networkscited by 680
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- 2021Uncertainty Baselines: Benchmarks for Uncertainty & Robustness in Deep Learningcited by 82
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- 2014Informed RRT*: Optimal Sampling-based Path Planning Focused via Direct Sampling of an Admissible Ellipsoidal Heuristiccited by 50
8 more
- 2019Challenges in Markov chain Monte Carlo for Bayesian neural networkscited by 44
- 2017Distance-based Confidence Score for Neural Network Classifierscited by 30
- 2022A Comprehensive Review of Digital Twin -- Part 1: Modeling and Twinning Enabling Technologiescited by 28
- 2021Bayesian Sequential Optimal Experimental Design for Nonlinear Models Using Policy Gradient Reinforcement Learningcited by 24
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Citing papers per year: 2022: 2; 2023: 4; 2024: 3; 2025: 2; 2026: 7.
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- 2023Uncertainty Quantification in Machine Learning for Engineering Design and Health Prognostics: A Tutorialcited by 27
- 2022A Bayesian Framework for Digital Twin-Based Control, Monitoring, and Data Collection in Wireless Systemscited by 18
- 2022Few-Shot Calibration of Set Predictors via Meta-Learned Cross-Validation-Based Conformal Predictioncited by 17
- 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimizationcited by 9
- 2024Nonlinear Assimilation via Score-based Sequential Langevin Samplingcited by 8
- 2025LLM-Based Agentic Negotiation for 6G: Addressing Uncertainty Neglect and Tail-Event Riskcited by 2
- 2026A framework for assuring the accuracy and fidelity of an AI-enabled Digital Twin of en route UK airspacecited by 2
- 2026Surrogates for Physics-based and Data-driven Modelling of Parametric Systems: Review and New Perspectivescited by 2
- 2023Uncertainty-aware deep learning for digital twin-driven monitoring: Application to fault detection in power linescited by 1
- 2023Surrogate modeling for stochastic crack growth processes in structural health monitoring applicationscited by 0
- 2023Digital Twin Framework for Optimal and Autonomous Decision-Making in Cyber-Physical Systems: Enhancing Reliability and Adaptability in the Oil and Gas Industrycited by 0
- 2024A new perspective on Bayesian Operational Modal Analysiscited by 0
6 more
- 2025Digital Twin-based Control Co-Design of Full Vehicle Active Suspensions via Deep Reinforcement Learningcited by 0
- 2026Quantifying and Attributing Submodel Uncertainty in Stochastic Simulation Models and Digital Twinscited by 0
- 2026Generative Flow Networks for Model Adaptation in Digital Twins of Natural Systemscited by 0
- 2026Spec2Twin-Chain: Orchestrating Bi-Level Optimization with LLMs for Blockchain Digital Twin Constructioncited by 0
- 2026Grounding Time-Series Foundation Models in Digital Twin Topology for Predictive Maintenancecited by 0
- 2026Towards Enriching Design-Time Models with Evidence from Simulation and Operational Activitiescited by 0
- 2026Towards Enriching Design-Time Models with Evidence from Simulation and Operational Activities9 Oct 2026
- 2026Grounding Time-Series Foundation Models in Digital Twin Topology for Predictive Maintenance30 Sep 2026
- 2026Spec2Twin-Chain: Orchestrating Bi-Level Optimization with LLMs for Blockchain Digital Twin Construction30 Aug 2026
- 2026Generative Flow Networks for Model Adaptation in Digital Twins of Natural Systems22 Apr 2026
- 2026Surrogates for Physics-based and Data-driven Modelling of Parametric Systems: Review and New Perspectives13 Mar 2026
- 2026Quantifying and Attributing Submodel Uncertainty in Stochastic Simulation Models and Digital Twins18 Feb 2026
- 2026A framework for assuring the accuracy and fidelity of an AI-enabled Digital Twin of en route UK airspace6 Jan 2026
- 2025Digital Twin-based Control Co-Design of Full Vehicle Active Suspensions via Deep Reinforcement Learning3 Dec 2025
- 2025LLM-Based Agentic Negotiation for 6G: Addressing Uncertainty Neglect and Tail-Event Risk24 Nov 2025
- 2024Nonlinear Assimilation via Score-based Sequential Langevin Sampling20 Nov 2024
- 2024A new perspective on Bayesian Operational Modal Analysis16 Aug 2024
- 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimization27 Feb 2024
6 more
- 2023Digital Twin Framework for Optimal and Autonomous Decision-Making in Cyber-Physical Systems: Enhancing Reliability and Adaptability in the Oil and Gas Industry21 Nov 2023
- 2023Surrogate modeling for stochastic crack growth processes in structural health monitoring applications11 Oct 2023
- 2023Uncertainty Quantification in Machine Learning for Engineering Design and Health Prognostics: A Tutorial7 May 2023
- 2023Uncertainty-aware deep learning for digital twin-driven monitoring: Application to fault detection in power lines20 Mar 2023
- 2022A Bayesian Framework for Digital Twin-Based Control, Monitoring, and Data Collection in Wireless Systems2 Dec 2022
- 2022Few-Shot Calibration of Set Predictors via Meta-Learned Cross-Validation-Based Conformal Prediction6 Oct 2022
- 2023Uncertainty Quantification in Machine Learning for Engineering Design and Health Prognostics: A Tutorialcited by 27
- 2022A Bayesian Framework for Digital Twin-Based Control, Monitoring, and Data Collection in Wireless Systemscited by 18
- 2022Few-Shot Calibration of Set Predictors via Meta-Learned Cross-Validation-Based Conformal Predictioncited by 17
- 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimizationcited by 9
- 2024Nonlinear Assimilation via Score-based Sequential Langevin Samplingcited by 8
- 2026A framework for assuring the accuracy and fidelity of an AI-enabled Digital Twin of en route UK airspacecited by 2
- 2026Surrogates for Physics-based and Data-driven Modelling of Parametric Systems: Review and New Perspectivescited by 2
- 2023Uncertainty-aware deep learning for digital twin-driven monitoring: Application to fault detection in power linescited by 1
- 2023Surrogate modeling for stochastic crack growth processes in structural health monitoring applicationscited by 0
- 2023Digital Twin Framework for Optimal and Autonomous Decision-Making in Cyber-Physical Systems: Enhancing Reliability and Adaptability in the Oil and Gas Industrycited by 0
- 2024A new perspective on Bayesian Operational Modal Analysiscited by 0
- 2026Quantifying and Attributing Submodel Uncertainty in Stochastic Simulation Models and Digital Twinscited by 0
12 most cited of 16 All 16 (JSON)
- 2026Towards Enriching Design-Time Models with Evidence from Simulation and Operational Activities9 Oct 2026
- 2026Grounding Time-Series Foundation Models in Digital Twin Topology for Predictive Maintenance30 Sep 2026
- 2026Spec2Twin-Chain: Orchestrating Bi-Level Optimization with LLMs for Blockchain Digital Twin Construction30 Aug 2026
- 2026Generative Flow Networks for Model Adaptation in Digital Twins of Natural Systems22 Apr 2026
- 2026Surrogates for Physics-based and Data-driven Modelling of Parametric Systems: Review and New Perspectives13 Mar 2026
- 2026Quantifying and Attributing Submodel Uncertainty in Stochastic Simulation Models and Digital Twins18 Feb 2026
- 2026A framework for assuring the accuracy and fidelity of an AI-enabled Digital Twin of en route UK airspace6 Jan 2026
- 2024Nonlinear Assimilation via Score-based Sequential Langevin Sampling20 Nov 2024
- 2024A new perspective on Bayesian Operational Modal Analysis16 Aug 2024
- 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimization27 Feb 2024
- 2023Digital Twin Framework for Optimal and Autonomous Decision-Making in Cyber-Physical Systems: Enhancing Reliability and Adaptability in the Oil and Gas Industry21 Nov 2023
- 2023Surrogate modeling for stochastic crack growth processes in structural health monitoring applications11 Oct 2023
12 newest of 16 All 16 (JSON)