Article Contents
REVIEW   Open Access     Cite

Accelerating materials discovery through active learning: Methods, challenges and opportunities

    Show all affliationsShow less
More Information
  • Corresponding authors: wangb@nanoctr.cn (B.W.);  duyi@cnic.cn (Y.D.)
  • DownLoad: Full size image
    1. Active Learning (AL) selects the most informative experiments to improve models efficiently, saving cost and time.

      Under constraints, AL prioritizes knowledge gaps and reduces redundant tests, boosting exploration efficiency.

      This review offers an AL framework for interaction, integrating domain know-how and a practical roadmap.

  • The convergence of large-scale experimentation and computation has transformed materials science into a discipline where data plays a central role. However, the vast design space and high costs of experiments and simulations still slow progress. In contrast to traditional approaches, active learning (AL) identifies which experiments or simulations will provide the most valuable information. This minimizes unnecessary work and cost. By prioritizing the most informative data points, AL enables more efficient and targeted exploration, particularly when resources are limited. This approach accelerates breakthroughs in complex systems, such as superconductors, catalysts, and batteries. This review introduces a framework that categorizes AL in both experimental and computational settings. It highlights the importance of integrating domain knowledge and addresses interpretability challenges. By providing a pragmatic roadmap, it makes a strong case for adopting AL, especially to maximize impact in resource-constrained materials research.To facilitate provide additional details, we have made the supplementary materials available in the repository at https://github.com/kg4sci/awsome-AL.
  • 加载中
  • [1] Batra R., Song L. and Ramprasad R. (2021). Emerging materials intelligence ecosystems propelled by machine learning. Nat. Rev. Mater. 6:655−678. DOI:10.1038/s41578-020-00255-y

    View in Article CrossRef Google Scholar

    [2] Gubernatis J. and Lookman T. (2018). Machine learning in materials design and discovery: Examples from the present and suggestions for the future. Phys. Rev. Mater. 2:120301. DOI:10.1103/PhysRevMaterials.2.120301

    View in Article CrossRef Google Scholar

    [3] Liu Y., Zhao T., Ju W., et al. (2017). Materials discovery and design using machine learning. J. Materiomics 3:159−177. DOI:10.1016/j.jmat.2017.08.002

    View in Article CrossRef Google Scholar

    [4] Zheng Y., Xu H., Li Z., et al. (2025). Artificial intelligence-driven approaches in semiconductor research. Adv. Mater. 37:2504378. DOI:10.1002/adma.202504378

    View in Article Google Scholar

    [5] Slattery A., Wen Z., Tenblad P., et al. (2024). Automated self-optimization, intensification, and scale-up of photocatalysis in flow. Science 383:eadj1817. DOI:10.1126/science.adj1817

    View in Article CrossRef Google Scholar

    [6] Lookman T., Balachandran P.V., Xue D., et al. (2019). Active learning in materials science with emphasis on adaptive sampling using uncertainties for targeted design. npj Comput. Mater. 5:21. DOI:10.1038/s41524-019-0153-8

    View in Article CrossRef Google Scholar

    [7] Bai X. and Zhang X. (2025). Artificial intelligence-powered materials science. Nano-Micro Lett. 17:135. DOI:10.1007/s40820-024-01634-8

    View in Article CrossRef Google Scholar

    [8] Shahriari B., Swersky K., Wang Z., et al. (2015). Taking the human out of the loop: A review of bayesian optimization. Proc.IEEE 104:148−175. DOI:10.1109/jproc.2015.2494218

    View in Article CrossRef Google Scholar

    [9] Szymanski N.J., Rendy B., Fei Y., et al. (2023). An autonomous laboratory for the accelerated synthesis of novel materials. Nature 624:86−91. DOI:10.1038/s41586-023-06734-w

    View in Article CrossRef Google Scholar

    [10] MacLeod B.P., Parlane F.G., Morrissey T.D., et al. (2020). Self-driving laboratory for accelerated discovery of thin-film materials. Sci. Adv. 6:eaaz8867. DOI:10.1126/sciadv.aaz8867

    View in Article CrossRef Google Scholar

    [11] Settles B. (1995). Active learning literature survey. Computer Sci. Tech. Rep.TR1648. http://digital.library.wisc.edu/1793/60660

    View in Article Google Scholar

    [12] Schmidt J., Marques M.R., Botti S., et al. (2019). Recent advances and applications of machine learning in solid-state materials science. npj Comput. Mater. 5:83. DOI:10.1038/s41524-019-0221-0

    View in Article CrossRef Google Scholar

    [13] Kumar P. and Gupta A. (2020). Active learning query strategies for classification, regression, and clustering: A survey. J. Comput. Sci. Technol. 35:913−945. DOI:10.1007/s11390-020-9487-4

    View in Article CrossRef Google Scholar

    [14] Saal J.E., Oliynyk A.O. and Meredig B. (2020). Machine learning in materials discovery: confirmed predictions and their underlying approaches. Annu. Rev. Mater. Res. 50:49−69. DOI:10.1146/annurev-matsci-090319-010954

    View in Article CrossRef Google Scholar

    [15] Yunfan W., Yuan T., Yumei Z., et al. (2023). Progress on active learning assisted materials discovery. J. Chin. Ceram. Soc. 51:544−551. DOI:10.14062/j.issn.0454-5648.20220924

    View in Article CrossRef Google Scholar

    [16] Lewis D.D. (1995). A sequential algorithm for training text classifiers: Corrigendum and additional data. ACM SIGIR Forum 29:13−19. DOI:10.1145/219587.219592

    View in Article CrossRef Google Scholar

    [17] Beluch W.H., Genewein T., Nürnberger A., et al. (2018). The power of ensembles for active learning in image classification. CVPR 2018:9368–9377. DOI:10.1109/CVPR.2018.00976

    View in Article Google Scholar

    [18] Zhu M., Fan C., Chen H., et al. (2024). Generative active learning for long-tailed instance segmentation. ICML. 2024:62349–62368. DOI:10.48550/arXiv.2406.02435

    View in Article Google Scholar

    [19] Zhu J.J. and Bento J. (2017). Generative adversarial active learning.arXiv preprint. DOI:10.48550/arXiv.1702.07956

    View in Article Google Scholar

    [20] Liu Y., Li Z., Zhou C., et al. (2019). Generative adversarial active learning for unsupervised outlier detection. IEEE Trans. Knowl. Data Eng. 32:1517−1528. DOI:10.1109/TKDE.2019.2905606

    View in Article CrossRef Google Scholar

    [21] Gui J., Sun Z., Wen Y., et al. (2021). A review on generative adversarial networks: Algorithms, theory, and applications. IEEE Trans. Knowl. Data Eng. 35:3313−3332. DOI:10.1109/TKDE.2021.3130191

    View in Article CrossRef Google Scholar

    [22] Rao Z., Tung P.Y., Xie R., et al. (2022). Machine learning–enabled high-entropy alloy discovery. Science 378:78−85. DOI:10.1126/science.abo4940

    View in Article CrossRef Google Scholar

    [23] Sohail Y., Zhang C., Xue D., et al. (2025). Machine-learning design of ductile FeNiCoAlTa alloys with high strength. Nature 643:119−124. DOI:10.1038/s41586-025-09160-2

    View in Article CrossRef Google Scholar

    [24] Moon J., Beker W., Siek M., et al. (2024). Active learning guides discovery of a champion four-metal perovskite oxide for oxygen evolution electrocatalysis. Nat. Mater. 23:108−115. DOI:10.1038/s41563-023-01707-w

    View in Article CrossRef Google Scholar

    [25] Suvarna M., Zou T., Chong S.H., et al. (2024). Active learning streamlines development of high performance catalysts for higher alcohol synthesis. Nat. Commun. 15:5844. DOI:10.1038/s41467-024-50215-1

    View in Article CrossRef Google Scholar

    [26] Merchant A., Batzner S., Schoenholz S.S., et al. (2023). Scaling deep learning for materials discovery. Nature 624:80−85. DOI:10.1038/s41586-023-06735-9

    View in Article CrossRef Google Scholar

    [27] Lee J.A., Park J., Sagong M.J., et al. (2025). Active learning framework to optimize process parameters of additive-manufactured ti-6al-4v with high strength and ductility. Nat. Commun. 16:931. DOI:10.1038/s41467-025-56267-1

    View in Article Google Scholar

    [28] Zhang R., Xu J., Zhang H., et al. (2025). Active learning-guided exploration of thermally conductive polymers under strain. Digit. Discov. 4:812−823. DOI:10.1039/D4DD00267A

    View in Article CrossRef Google Scholar

    [29] Johnson N.S., Mishra A.A., Kirsch D.J., et al. (2024). Active learning for rapid targeted synthesis of compositionally complex alloys. Materials 17:4038. DOI:10.3390/ma17164038

    View in Article CrossRef Google Scholar

    [30] Verduzco J.C., Marinero E.E. and Strachan A. (2021). An active learning approach for the design of doped llzo ceramic garnets for battery applications. Integr. Mater. Manuf. Innov. 10:299−310. DOI:10.1007/s40192-021-00214-7

    View in Article CrossRef Google Scholar

    [31] Pedersen J.K., Clausen C.M., Krysiak O.A., et al. (2021). Bayesian optimization of high-entropy alloy compositions for electrocatalytic oxygen reduction. Angew. Chem. 133:24346−24354. DOI:10.1002/ange.202108116

    View in Article CrossRef Google Scholar

    [32] Terayama K., Tamura R., Nose Y., et al. (2019). Efficient construction method for phase diagrams using uncertainty sampling. Phys. Rev. Mater. 3:033802. DOI:10.1103/PhysRevMaterials.3.033802

    View in Article CrossRef Google Scholar

    [33] Talapatra A., Boluki S., Duong T., et al. (2018). Autonomous efficient experiment design for materials discovery with bayesian model averaging. Phys. Rev. Mater. 2:113803. DOI:10.1103/PhysRevMaterials.2.113803

    View in Article CrossRef Google Scholar

    [34] Niu X., Chen Y., Sun M., et al. (2025). Bayesian learning-assisted catalyst discovery for efficient iridium utilization in electrochemical water splitting. Sci. Adv. 11:eadw0894. DOI:10.1126/sciadv.eadw0894

    View in Article CrossRef Google Scholar

    [35] Wang G., Mine S., Chen D., et al. (2023). Accelerated discovery of multi-elemental reverse water-gas shift catalysts using extrapolative machine learning approach. Nat. Commun. 14:5861. DOI:10.1038/s41467-023-41341-3

    View in Article CrossRef Google Scholar

    [36] Farache D.E., Verduzco J.C., McClure Z.D., et al. (2022). Active learning and molecular dynamics simulations to find high melting temperature alloys. Comput. Mater. Sci. 209:111386. DOI:10.1016/j.commatsci.2022.111386

    View in Article CrossRef Google Scholar

    [37] Harwani M., Verduzco J.C., Lee B.H., et al. (2025). Accelerating active learning materials discovery with fair data and workflows: A case study for alloy melting temperatures. Comput. Mater. Sci. 249:113640. DOI:10.1016/j.commatsci.2024.113640

    View in Article CrossRef Google Scholar

    [38] Nie S., Xiang Y., Wu L., et al. (2024). Active learning guided discovery of high entropy oxides featuring high h2-production. J. Am. Chem. Soc. 146:29325−29334. DOI:10.1021/jacs.4c06272

    View in Article CrossRef Google Scholar

    [39] Cao B., Su T., Yu S., et al. (2024). Active learning accelerates the discovery of high strength and high ductility lead-free solder alloys. Mater. Des. 241:112921. DOI:10.1016/j.matdes.2024.112921

    View in Article CrossRef Google Scholar

    [40] Jablonka K.M., Jothiappan G.M., Wang S., et al. (2021). Bias free multiobjective active learning for materials design and discovery. Nat. Commun. 12:2312. DOI:10.1038/s41467-021-22437-0

    View in Article CrossRef Google Scholar

    [41] Xu S., Chen Z., Qin M., et al. (2024). Developing new electrocatalysts for oxygen evolution reaction via high throughput experiments and artificial intelligence. npj Comput. Mater. 10:194. DOI:10.1038/s41524-024-01386-4

    View in Article CrossRef Google Scholar

    [42] Behler J. and Parrinello M. (2007). Generalized neural-network representation of high-dimensional potential-energy surfaces. Phys. Rev. Lett. 98:146401. DOI:10.1103/PhysRevLett.98.146401

    View in Article CrossRef Google Scholar

    [43] Smith J.S., Isayev O. and Roitberg A.E. (2017). Ani-1: An extensible neural network potential with dft accuracy at force field computational cost. Chem. Sci. 8:3192−3203. DOI:10.1039/C6SC05720A

    View in Article CrossRef Google Scholar

    [44] Liu Y., Kelley K.P., Vasudevan R.K., et al. (2022). Experimental discovery of structure–property relationships in ferroelectric materials via active learning. Nat. Mach. Intell. 4:341−350. DOI:10.1038/s42256-022-00460-0

    View in Article CrossRef Google Scholar

    [45] Bulanadi R., Chowdhury J., Hiroshi F., et al. (2025). Beyond optimization: Exploring novelty discovery in autonomous experiments. arXiv preprint. DOI:10.48550/arXiv.2508.20254

    View in Article Google Scholar

    [46] Reiser P., Neubert M., Eberhard A., et al. (2022). Graph neural networks for materials science and chemistry. Commun. Mater. 3:93. DOI:10.1038/s43246-022-00315-6

    View in Article CrossRef Google Scholar

    [47] Chen C., Ye W., Zuo Y., et al. (2019). Graph networks as a universal machine learning framework for molecules and crystals. Chem. Mater. 31:3564−3572. DOI:10.1021/acs.chemmater.9b01294

    View in Article CrossRef Google Scholar

    [48] Gal Y. and Ghahramani Z. (2016). Dropout as a bayesian approximation: Representing model uncertainty in deep learning. PMLR 2016:1050–1059. DOI:10.5555/3045390.3045502

    View in Article Google Scholar

    [49] Lakshminarayanan B., Pritzel A. and Blundell C. (2017). Simple and scalable predictive uncertainty estimation using deep ensembles. Adv. Neural Inf. Process. Syst. 30:6405–6416. DOI:10.5555/3295222.3295387

    View in Article Google Scholar

    [50] Xie T. and Grossman J.C. (2018). Crystal graph convolutional neural networks for an accurate and interpretable prediction of material properties. Phys. Rev. Lett. 120:145301. DOI:10.1103/PhysRevLett.120.145301

    View in Article CrossRef Google Scholar

    [51] Ge X., Yin J., Ren Z., et al. (2024). Atomic design of alkyne semihydrogenation catalysts via active learning. J. Am. Chem. Soc. 146:4993−5004. DOI:10.1021/jacs.3c14495

    View in Article CrossRef Google Scholar

    [52] Chun H., Lunger J.R., Kang J.K., et al. (2024). Active learning accelerated exploration of single-atom local environments in multimetallic systems for oxygen electrocatalysis. npj Comput. Mater. 10:246. DOI:10.1038/s41524-024-01432-1

    View in Article CrossRef Google Scholar

    [53] Xu W., Diesen E., He T., et al. (2024). Discovering high entropy alloy electrocatalysts in vast composition spaces with multiobjective optimization. J. Am. Chem. Soc. 146:7698−7707. DOI:10.1021/jacs.3c14486

    View in Article CrossRef Google Scholar

    [54] Vasudevan R.K., Kelley K.P., Hinkle J., et al. (2021). Autonomous experiments in scanning probe microscopy and spectroscopy: choosing where to explore polarization dynamics in ferroelectrics. ACS Nano 15:11253−11262. DOI:10.1021/acsnano.0c10239

    View in Article CrossRef Google Scholar

    [55] Ziatdinov M., Liu Y., Kelley K., et al. (2022). Bayesian active learning for scanning probe microscopy: From gaussian processes to hypothesis learning. ACS Nano 16:13492−13512. DOI:10.1021/acsnano.2c05303

    View in Article CrossRef Google Scholar

    [56] Lubbers N., Lookman T. and Barros K. (2017). Inferring low-dimensional microstructure representations using convolutional neural networks. Phys. Rev. E 96:052111. DOI:10.1103/PhysRevE.96.052111

    View in Article CrossRef Google Scholar

    [57] DeCost B.L., Lei B., Francis T., et al. (2019). High throughput quantitative metallography for complex microstructures using deep learning: A case study in ultrahigh carbon steel. Microsc. Microanal. 25:21−29. DOI:10.1017/S1431927618015635

    View in Article CrossRef Google Scholar

    [58] Mozaffari M.H. and Tay L.L. (2021). Raman spectral analysis of mixtures with one-dimensional convolutional neural network. arXiv preprint. DOI:10.48550/arXiv.2106.05316

    View in Article Google Scholar

    [59] Szymanski N.J., Bartel C.J., Zeng Y., et al. (2023). Adaptively driven x-ray diffraction guided by machine learning for autonomous phase identification. npj Comput. Mater. 9:31. DOI:10.1038/s41524-023-00984-y

    View in Article CrossRef Google Scholar

    [60] Tang W.T., Chakrabarty A. and Paulson J.A. (2024). Beacon: A bayesian optimization strategy for novelty search in expensive black-box systems. arXiv preprint. DOI:10.48550/arXiv.2406.03616

    View in Article Google Scholar

    [61] Kingma D.P. and Welling M. (2014). Auto-encoding variational bayes. stat 1050:1. DOI:10.48550/arXiv.1312.6114

    View in Article CrossRef Google Scholar

    [62] Goodfellow I.J., Pouget-Abadie J., Mirza M., et al. (2014). Generative adversarial nets. Adv. Neural Inf. Process. Syst. 27:2672−2680. DOI:10.5555/2969033.2969125

    View in Article Google Scholar

    [63] Deb K., Pratap A., Agarwal S., et al. (2002). A fast and elitist multiobjective genetic algorithm: Nsga-ii. IEEE transactions on evolutionary computation 6:182−197. DOI:10.1109/4235.996017

    View in Article CrossRef Google Scholar

    [64] Raju R.K., Sivakumar S., Wang X., et al. (2023). Cluster-mlp: An active learning genetic algorithm framework for accelerated discovery of global minimum configurations of pure and alloy nanoclusters. Chem. Inf. Model 63:6192−6197. DOI:10.1021/acs.jcim.3c01431

    View in Article CrossRef Google Scholar

    [65] Wu S., Hamel C.M., Ze Q., et al. (2020). Evolutionary algorithm-guided voxel-encoding printing of functional hard-magnetic soft active materials. Adv. Intell. Syst. 2:2000060. DOI:10.1002/aisy.202000060

    View in Article CrossRef Google Scholar

    [66] Wolters M.A. (2015). A genetic algorithm for selection of fixed-size subsets with application to design problems. J. Stat. Softw. 68:1−18. DOI:10.18637/jss.v068.c01

    View in Article CrossRef Google Scholar

    [67] Xie T., Fu X., Ganea O., et al. (2022). Crystal diffusion variational autoencoder for periodic material generation. Bull. Am. Phys. Soc. 67. DOI:10.48550/arXiv.2110.06197

    View in Article Google Scholar

    [68] Lim J., Ryu S., Kim J.W., et al. (2018). Molecular generative model based on conditional variational autoencoder for de novo molecular design. J. Cheminform. 10:31. DOI:10.1186/s13321-018-0288-5

    View in Article CrossRef Google Scholar

    [69] Xin R., Siriwardane E.M., Song Y., et al. (2021). Active-learning-based generative design for the discovery of wide-band-gap materials. J. Phys. Chem. C 125:16118−16128. DOI:10.1021/acs.jpcc.1c06460

    View in Article CrossRef Google Scholar

    [70] Guo W., Li F., Wang L., et al. (2025). Accelerated discovery of near-zero ablation ultra-high temperature ceramics via gan-enhanced directionally constrained active learning. APM 4:100287. DOI:10.1016/j.apmate.2025.100287

    View in Article CrossRef Google Scholar

    [71] Kim M., Ha M.Y., Jung W.B., et al. (2022). Searching for an optimal multi-metallic alloy catalyst by active learning combined with experiments. Adv. Mater. 34:2108900. DOI:10.1002/adma.202108900

    View in Article CrossRef Google Scholar

    [72] Mok D.H., Li H., Zhang G., et al. (2023). Data-driven discovery of electrocatalysts for co2 reduction using active motifs-based machine learning. Nat. Commun. 14:7303. DOI:10.1038/s41467-023-43118-0

    View in Article CrossRef Google Scholar

    [73] Gómez-Bombarelli R., Aguilera-Iparraguirre J., Hirzel T.D., et al. (2016). Design of efficient molecular organic light-emitting diodes by a high-throughput virtual screening and experimental approach. Nat. Mater. 15:1120−1127. DOI:10.1038/nmat4717

    View in Article CrossRef Google Scholar

    [74] Zhu J.Y., Park T., Isola P., et al. (2017). Unpaired image-to-image translation using cycle-consistent adversarial networks. Proc. IEEE Int. Conf. Comput. Vis. 2017:2223–2232. DOI:10.1109/ICCV.2017.244

    View in Article Google Scholar

    [75] Panisilvam J., Hajizadeh E., Weeratunge H., et al. (2023). Asymmetric cyclegans for inverse design of photonic metastructures. APL mach. learn. 1:4. DOI:10.1063/5.0159264

    View in Article CrossRef Google Scholar

    [76] M. Bran A., Cox S., Schilter O., et al. (2024). Augmenting large language models with chemistry tools. Nat. Mach. Intell. 6:525−535. DOI:10.1038/s42256-024-00832-8

    View in Article CrossRef Google Scholar

    [77] Xie T., Wan Y., Liu Y., et al. (2025). Large language models as materials science adapted learners.Res. Square. Preprint. DOI:10.21203/rs.3.rs-6752901/v1

    View in Article Google Scholar

    [78] Boiko D.A., MacKnight R., Kline B., et al. (2023). Autonomous chemical research with large language models. Nature 624:570−578. DOI:10.1038/s41586-023-06695-5

    View in Article CrossRef Google Scholar

    [79] Buehler M.J. (2025). Preflexor: Preference-based recursive language modeling for exploratory optimization of reasoning and agentic thinking. npj Artif. Intell. 1:4. DOI:10.1038/s44387-025-00003-z

    View in Article CrossRef Google Scholar

    [80] Buehler M.J. (2024). Cephalo: Multi-modal vision-language models for bio-inspired materials analysis and design. Adv. Funct. Mater. 34:2409531. DOI:10.1002/adfm.202409531

    View in Article CrossRef Google Scholar

    [81] Buehler M.J. (2025). In situ graph reasoning and knowledge expansion using graph-preflexor. Adv. intell. discov. 2025:202500006. DOI:10.1002/aidi.202500006

    View in Article Google Scholar

    [82] Zhang Y., Han Y., Chen S., et al. (2025). Large language models to accelerate organic chemistry synthesis. Nat. Mach. Intell. 2015:1–13. DOI:10.1038/s42256-025-01066-y

    View in Article Google Scholar

    [83] Ghafarollahi A. and Buehler M.J. (2024). Protagents: Protein discovery via large language model multi-agent collaborations combining physics and machine learning. Digit. Discov. 3:1389−1409. DOI:10.1039/d4dd00013g

    View in Article CrossRef Google Scholar

    [84] Ghafarollahi A. and Buehler M.J. (2025). Sparks: Multi-agent artificial intelligence model discovers protein design principles. arXiv preprint. DOI:10.48550/arXiv.2504.19017

    View in Article Google Scholar

    [85] Snoek J., Larochelle H. and Adams R.P. (2012). Practical bayesian optimization of machine learning algorithms. Adv. Neural Inf. Process. Syst. 25:2951–2959. DOI:10.48550/arXiv.1206.2944

    View in Article Google Scholar

    [86] Asprion N., Böttcher R., Pack R., et al. (2019). Gray-box modeling for the optimization of chemical processes. Chem. Ing. Tech. 91:305−313. DOI:10.1002/cite.201800086

    View in Article CrossRef Google Scholar

    [87] Psichogios D.C. and Ungar L.H. (1992). A hybrid neural network-first principles approach to process modeling. AIChE J. 38:1499−1511. DOI:10.1002/aic.690381003

    View in Article CrossRef Google Scholar

    [88] Molga E. (2003). Neural network approach to support modelling of chemical reactors: problems, resolutions, criteria of application. Chem. Eng. Process. 42:675−695. DOI:10.1016/S0255-2701(02)00205-2

    View in Article CrossRef Google Scholar

    [89] Ziatdinov M.A., Ghosh A. and Kalinin S.V. (2022). Physics makes the difference: Bayesian optimization and active learning via augmented gaussian process. Mach. Learn.: Sci. Technol. 3:015003. DOI:10.1088/2632-2153/ac5a6b

    View in Article CrossRef Google Scholar

    [90] Ladygin V., Beniya I., Makarov E., et al. (2021). Bayesian learning of thermodynamic integration and numerical convergence for accurate phase diagrams. Phys. Rev. B 104:104102. DOI:10.1103/PhysRevB.104.104102

    View in Article CrossRef Google Scholar

    [91] Vela B., Khatamsaz D., Acemi C., et al. (2023). Data-augmented modeling for yield strength of refractory high entropy alloys: A bayesian approach. Acta Mater. 261:119351. DOI:10.1016/j.actamat.2023.119351

    View in Article CrossRef Google Scholar

    [92] Khatamsaz D., Neuberger R., Roy A.M., et al. (2023). A physics informed bayesian optimization approach for material design: Application to niti shape memory alloys. npj Comput. Mater. 9:221. DOI:10.1038/s41524-023-01270-6

    View in Article CrossRef Google Scholar

    [93] Zhao C., Zhang F., Lou W., et al. (2024). A comprehensive review of advances in physics-informed neural networks and their applications in complex fluid dynamics. Phys. Fluids 36:101301. DOI:10.1063/5.0226562

    View in Article Google Scholar

    [94] Anagnostopoulos S.J., Toscano J.D., Stergiopulos N., et al. (2025). Learning in pinns: Phase transition, diffusion equilibrium, and generalization. Neural Netw.181:107983. DOI:10.1016/j.neunet.2025.107983

    View in Article Google Scholar

    [95] Gebauer N., Gastegger M. and Schütt K. (2019). Symmetry-adapted generation of 3d point sets for the targeted discovery of molecules. Adv. Neural Inf. Process. Syst. 32:7566–7578. DOI:10.48550/arXiv.1906.00957

    View in Article Google Scholar

    [96] Xie T., Fu X., Ganea O., et al. (2022). Crystal diffusion variational autoencoder for periodic material generation. Bull. Am. Phys. Soc. 67:S48.003. DOI:10.48550/arXiv.2110.06197

    View in Article Google Scholar

    [97] Buehler M.J. (2022). Modeling atomistic dynamic fracture mechanisms using a progressive transformer diffusion model. J. Appl. Mech. 89:121009. DOI:10.1115/1.4055730

    View in Article CrossRef Google Scholar

    [98] Gelbart M.A., Snoek J. and Adams R.P. (2014). Bayesian optimization with unknown constraints. UAI 2014: 250–259. DOI:10.5555/3020751.3020778

    View in Article Google Scholar

    [99] Harris S.B., Vasudevan R. and Liu Y. (2025). Active oversight and quality control in standard bayesian optimization for autonomous experiments. npj Comput. Mater. 11:23. DOI:10.1038/s41524-024-01485-2

    View in Article CrossRef Google Scholar

    [100] Sun S., Tiihonen A., Oviedo F., et al. (2021). A data fusion approach to optimize compositional stability of halide perovskites. Matter 4:1305−1322. DOI:10.1016/j.matt.2021.02.004

    View in Article CrossRef Google Scholar

    [101] Liu Z., Rolston N., Flick A.C., et al. (2022). Machine learning with knowledge constraints for process optimization of open-air perovskite solar cell manufacturing. Joule 6:834−849. DOI:10.1016/j.joule.2022.02.011

    View in Article CrossRef Google Scholar

    [102] Kusne A.G., Yu H., Wu C., et al. (2020). On-the-fly closed-loop materials discovery via bayesian active learning. Nat. Commun. 11:5966. DOI:10.1038/s41467-020-19597-w

    View in Article CrossRef Google Scholar

    [103] Tian Y., Li T., Pang J., et al. (2025). Materials design with target-oriented bayesian optimization. npj Comput. Mater. 11:209. DOI:10.1038/s41524-025-01704-4

    View in Article CrossRef Google Scholar

    [104] Vlachos A. (2008). A stopping criterion for active learning. Comput. Speech Lang. 22:295−312. DOI:10.1016/j.csl.2007.12.001

    View in Article CrossRef Google Scholar

    [105] Bloodgood M. and Vijay-Shanker K. (2009). A method for stopping active learning based on stabilizing predictions and the need for user-adjustable stopping. CoNLL 39:39–47. DOI:10.48550/arXiv.1409.5165

    View in Article Google Scholar

    [106] Ishibashi H. and Hino H. (2020). Stopping criterion for active learning based on deterministic generalization bounds. AISTATS 108:386–397. DOI:10.48550/arXiv.2005.07402

    View in Article Google Scholar

    [107] Pullar-Strecker Z., Dost K., Frank E., et al. (2024). Hitting the target: Stopping active learning at the cost-based optimum. Mach. Learn. 113:1529−1547. DOI:10.1007/s10994-022-06253-1

    View in Article CrossRef Google Scholar

    [108] Callaghan M.W. and Müller-Hansen F. (2020). Statistical stopping criteria for automated screening in systematic reviews. Syst. Rev. 9:273. DOI:10.1186/s13643-020-01521-4

    View in Article CrossRef Google Scholar

    [109] Boetje J. and van de Schoot R. (2024). The safe procedure: A practical stopping heuristic for active learning-based screening in systematic reviews and meta-analyses. Syst. Rev. 13:81. DOI:10.1186/s13643-024-02502-7

    View in Article CrossRef Google Scholar

    [110] Sholokhov A., Liu Y., Mansour H., et al. (2023). Physics-informed neural ode (pinode): Embedding physics into models using collocation points. Sci. Rep. 13:10166. DOI:10.1038/s41598-023-36799-6

    View in Article CrossRef Google Scholar

    [111] Qin X., Zhong B., Lv S., et al. (2024). A zero-voltage-writing artificial nervous system based on biosensor integrated on ferroelectric tunnel junction. Adv. Mater. 36:2404026. DOI:10.1002/adma.202404026

    View in Article CrossRef Google Scholar

    [112] Li Z., Xu H., Zheng Y., et al. (2025). A reconfigurable heterostructure transistor array for monocular 3d parallax reconstruction. Nat. Electron. 8:46−55. DOI:10.1038/s41928-024-01261-6

    View in Article CrossRef Google Scholar

    [113] Batzner S., Musaelian A., Sun L., et al. (2022). E (3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials. Nat. Commun. 13:2453. DOI:10.1038/s41467-022-29939-5

    View in Article CrossRef Google Scholar

    [114] Buehler M.J. (2022). Prediction of atomic stress fields using cycle-consistent adversarial neural networks based on unpaired and unmatched sparse datasets. Mater. Adv. 3:6280−6290. DOI:10.1039/D2MA00223J

    View in Article CrossRef Google Scholar

    [115] Kandasamy K., Dasarathy G., Oliva J.B., et al. (2016). Gaussian process bandit optimisation with multi-fidelity evaluations. Adv. Neural Inf. Process. Syst. 29:992–1000. DOI:10.5555/3157096.3157208

    View in Article Google Scholar

    [116] Leonov A.I., Hammer A.J., Lach S., et al. (2024). An integrated self-optimizing programmable chemical synthesis and reaction engine. Nat. Commun. 15:1240. DOI:10.1038/s41467-024-45444-3

    View in Article CrossRef Google Scholar

    [117] Rauschen R., Ayme J.F., Matysiak B.M., et al. (2025). A programmable modular robot for the synthesis of molecular machines. Chem. 11:102504. DOI:10.1016/j.chempr.2025.102504

    View in Article Google Scholar

    [118] Gao F., Li H., Chen Z., et al. (2025). A chemical autonomous robotic platform for end-to-end synthesis of nanoparticles. Nat. Commun. 16:7558. DOI:10.1038/s41467-025-62994-2

    View in Article CrossRef Google Scholar

  • Cite this article:

    Ma Y., Gao Y., Wang L., et al. (2025). Accelerating materials discovery through active learning: Methods, challenges and opportunities. The Innovation Informatics 1:100013. https://doi.org/10.59717/j.xinn-inform.2025.100013
    Ma Y., Gao Y., Wang L., et al. (2025). Accelerating materials discovery through active learning: Methods, challenges and opportunities. The Innovation Informatics 1:100013. https://doi.org/10.59717/j.xinn-inform.2025.100013

Welcome!

To request copyright permission to republish or share portions of our works, please visit Copyright Clearance Center's (CCC) Marketplace website at marketplace.copyright.com.

Figures(3)     Tables(2)

Share

  • Share the QR code with wechat scanning code to friends and circle of friends.

Article Metrics

Article views(21499) PDF downloads(1904)

Relative Articles

Cited by

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint