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Review  |  Open Access

                          Journal of Materials Informatics


                                         Wang et al. J. Mater. Inf. 2026, 6, 16      DOI:10.20517/jmi.2025.85



               Multi-fidelity learning in materials informatics:
               methodologies, applications, and outlook




               Bo Wang , Yangyang Xu , Yumei Zhou , Dezhen Xue 1
                      1
                                   2
                                               1
               Keywords:
               Multi-fidelity learning,
               materials informatics,
               surrogate modeling, active
               learning, data-driven
               materials design
               Citation: Wang, B.; Xu, Y.;
               Zhou, Y.; Xue, D.
               Multi-fidelity learning in
               materials informatics:
               methodologies, applications,
               and outlook. J. Mater. Inf.
               2026, 6, 16.
               https://dx.doi.org/10.20517
               /jmi.2025.85
               Received: 8 Oct 2025
               First Decision: 10 Nov  Abstract
               2025
               Revised: 24 Dec 2025  Data-driven methods are transforming materials design by accelerating the discovery of
               Accepted: 14 Jan 2026  new compounds and the optimization of existing systems. However, the progress of such
               Published: 30 Mar 2026  approaches is often constrained by the scarcity of high-fidelity data from experiments and
                                   advanced simulations. Multi-fidelity (MF) learning has emerged as a powerful strategy to
               Academic Editor:
               Zhimei Sun          address this challenge by integrating information from diverse data sources that vary in
               Copy Editor:        accuracy   and   cost.   In   this   review,   we   provide   a   systematic   overview   of   the   major
               Ting-Ting Hu        methodologies   for   MF   learning,   including   statistical   and   parametric   models,   machine
               Production Editor:
               Ting-Ting Hu        learning models with fidelity features, correction-based models such as co-kriging, deep
                                   learning   frameworks,   and   active   learning   frameworks.   We   discuss   the   strengths,
                                   limitations, and typical applications of each method in materials science, with illustrative
                                   examples spanning electronic structure modeling, alloy design, and interatomic potential
                                   development. Cross-cutting issues are also examined, including the bias-variance trade-off,
                                   data requirements for nested vs. non-nested designs, and computational scalability. Finally,
                                   we   highlight   outstanding   challenges   and   outline   emerging   opportunities,   such   as
                                   physics-informed and generative MF models, standardized datasets, and integration with
                                   autonomous laboratories. Together, these perspectives define a roadmap for advancing MF
                                   learning as a core enabler of next-generation materials discovery.

               1 State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China.
               2 MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Physics, Xi’an Jiaotong University,
               Xi’an 710049, Shaanxi, China.
               Correspondence to: Dr. Yangyang Xu, MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of
               Physics, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China. E-mail: xuyangyang@xjtu.edu.cn; Prof. Yumei Zhou, Prof. Dezhen Xue,
               State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China. E-mail:
               zhouyumei@xjtu.edu.cn; xuedezhen@xjtu.edu.cn




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