mlsanityData to 14 Oct 2026

A Comprehensive Review of Digital Twin -- Part 2: Roles of Uncertainty Quantification and Optimization, a Battery Digital Twin, and Perspectives

arXiv 2208.12904 ↗First posted 27 Aug 2022cs.LG math.OCcited by 18

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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

  1. 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,448
  2. 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,926
  3. 2017What Uncertainties Do We Need in Bayesian Deep Learning for Computer Vision?cited by 2,352
  4. 2020A Review of Uncertainty Quantification in Deep Learning: Techniques, Applications and Challengescited by 819
  5. 2021A Survey of Uncertainty in Deep Neural Networkscited by 680
  6. 2018Accurate Uncertainties for Deep Learning Using Calibrated Regressioncited by 422
  7. 2020Simple and Principled Uncertainty Estimation with Deterministic Deep Learning via Distance Awarenesscited by 389
  8. 2015A Theoretically Grounded Application of Dropout in Recurrent Neural Networkscited by 161
  9. 2015Bayesian Convolutional Neural Networks with Bernoulli Approximate Variational Inferencecited by 159
  10. 2021Uncertainty Baselines: Benchmarks for Uncertainty & Robustness in Deep Learningcited by 82
  11. 2020A Probabilistic Graphical Model Foundation for Enabling Predictive Digital Twins at Scalecited by 58
  12. 2014Informed RRT*: Optimal Sampling-based Path Planning Focused via Direct Sampling of an Admissible Ellipsoidal Heuristiccited by 50
8 more
  1. 2019Challenges in Markov chain Monte Carlo for Bayesian neural networkscited by 44
  2. 2017Distance-based Confidence Score for Neural Network Classifierscited by 30
  3. 2022A Comprehensive Review of Digital Twin -- Part 1: Modeling and Twinning Enabling Technologiescited by 28
  4. 2021Bayesian Sequential Optimal Experimental Design for Nonlinear Models Using Policy Gradient Reinforcement Learningcited by 24
  5. 2015Markov Decision Processes with Applications in Wireless Sensor Networks: A Surveycited by 5
  6. 2020Continuous calibration of a digital twin: comparison of particle filter and Bayesian calibration approachescited by 2
  7. 2021Framework to model virtual factories: a digital twin viewcited by 2
  8. 2014Multiattribute Auctions Based on Generalized Additive Independencecited by 1

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2022: 2; 2023: 4; 2024: 3; 2025: 2; 2026: 7.

18 papers.

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  1. 2023Uncertainty Quantification in Machine Learning for Engineering Design and Health Prognostics: A Tutorialcited by 27
  2. 2022A Bayesian Framework for Digital Twin-Based Control, Monitoring, and Data Collection in Wireless Systemscited by 18
  3. 2022Few-Shot Calibration of Set Predictors via Meta-Learned Cross-Validation-Based Conformal Predictioncited by 17
  4. 2024Towards a Digital Twin Framework in Additive Manufacturing: Machine Learning and Bayesian Optimization for Time Series Process Optimizationcited by 9
  5. 2024Nonlinear Assimilation via Score-based Sequential Langevin Samplingcited by 8
  6. 2025LLM-Based Agentic Negotiation for 6G: Addressing Uncertainty Neglect and Tail-Event Riskcited by 2
  7. 2026A framework for assuring the accuracy and fidelity of an AI-enabled Digital Twin of en route UK airspacecited by 2
  8. 2026Surrogates for Physics-based and Data-driven Modelling of Parametric Systems: Review and New Perspectivescited by 2
  9. 2023Uncertainty-aware deep learning for digital twin-driven monitoring: Application to fault detection in power linescited by 1
  10. 2023Surrogate modeling for stochastic crack growth processes in structural health monitoring applicationscited by 0
  11. 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
  12. 2024A new perspective on Bayesian Operational Modal Analysiscited by 0
6 more
  1. 2025Digital Twin-based Control Co-Design of Full Vehicle Active Suspensions via Deep Reinforcement Learningcited by 0
  2. 2026Quantifying and Attributing Submodel Uncertainty in Stochastic Simulation Models and Digital Twinscited by 0
  3. 2026Generative Flow Networks for Model Adaptation in Digital Twins of Natural Systemscited by 0
  4. 2026Spec2Twin-Chain: Orchestrating Bi-Level Optimization with LLMs for Blockchain Digital Twin Constructioncited by 0
  5. 2026Grounding Time-Series Foundation Models in Digital Twin Topology for Predictive Maintenancecited by 0
  6. 2026Towards Enriching Design-Time Models with Evidence from Simulation and Operational Activitiescited by 0