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Articles

Sequential Designs for Filling Output Spaces

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Pages 65-76 | Received 05 Dec 2022, Accepted 12 Jun 2023, Published online: 24 Jul 2023

References

  • An, J., and Owen, A. (2001), “Quasi-Regression,” Journal of Complexity, 17, 588–607. DOI: 10.1006/jcom.2001.0588.
  • Batra, R., Tran, H. D., Kim, C., Chapman, J., Chen, L., Chandrasekaran, A., and Ramprasad, R. (2019), “General Atomic Nighborhood Fingerprint for Machine Learning-based Methods,” Journal of Physical Chemistry C, 123, 15859–15866. DOI: 10.1021/acs.jpcc.9b03925.
  • Fasshauer, G. E. (2007), Meshfree Approximation Methods with MATLAB (Vol. 6), Singapore: World Scientific.
  • Garnett, R. (2023), Bayesian Optimization, Cambridge, UK: Cambridge University Press.
  • Geisser, S., and Eddy, W. F. (1979), “A Predictive Approach to Model Selection,” Journal of the American Statistical Association, 74, 153–160. DOI: 10.1080/01621459.1979.10481632.
  • Generale, A. P., and Kalidindi, S. R. (2021), “Reduced-Order Models for Microstructure-Sensitive Effective Thermal Conductivity of Woven Ceramic Matrix Composites with Residual Porosity,” Composite Structures, 274, 114399. DOI: 10.1016/j.compstruct.2021.114399.
  • Gramacy, R. B. (2020), Surrogates: Gaussian Process Modeling, Design, and Optimization for the Applied Sciences, Boca Raton, FL: Chapman and Hall/CRC.
  • Gramacy, R. B., and Apley, D. W. (2015), “Local Gaussian Process Approximation for Large Computer Experiments,” Journal of Computational and Graphical Statistics, 24, 561–578. DOI: 10.1080/10618600.2014.914442.
  • Iyer, A., Yerramilli, S., Rondinelli, J. M., Apley, D. W., and Chen, W. (2022), “Descriptor Aided Bayesian Optimization for Many-Level Qualitative Variables With Materials Design Applications,” Journal of Mechanical Design, 145, 031701. DOI: 10.1115/1.4055848.
  • Johnson, M. E., Moore, L. M., and Ylvisaker, D. (1990), “Minimax and Maximin Distance Designs,” Journal of Statistical Planning and Inference, 26, 131–148. DOI: 10.1016/0378-3758(90)90122-B.
  • Jones, D. R., Schonlau, M., and Welch, W. J. (1998), “Efficient Global Optimization of Expensive Black-Box Functions,” Journal of Global Optimization, 13, 455–492. DOI: 10.1023/A:1008306431147.
  • Joseph, V. R. (2006), “Limit Kriging,” Technometrics, 48, 458–466. DOI: 10.1198/004017006000000011.
  • Joseph, V. R. (2016), “Space-Filling Designs for Computer Experiments: A Review,” Quality Engineering, 28, 28–35.
  • Kalidindi, S. R. (2015), Hierarchical Materials Informatics: Novel Analytics for Materials Data, Amsterdam, Netherlands: Elsevier.
  • Krishna, A., Craig, S. R., Shi, C., and Joseph, V. R. (2022), “Inverse Design of Acoustic Metasurfaces Using Space-Filling Points,” Applied Physics Letters, 121, 071701. DOI: 10.1063/5.0096869.
  • Krishna, A., Tran, H., Ramprasad, R., Huang, C., and Joseph, V. R. (2023), “Adaptive Exploration and Optimization of Materials Crystal Structures,” INFORMS Journal on Data Science. DOI: 10.1287/ijds.2023.0028.
  • Lin, H., Brown, L. P., and Long, A. C. (2011), “Modelling and Simulating Textile Structures Using TexGen,” Advanced Materials Research, 331, 44–47. DOI: 10.4028/www.scientific.net/AMR.331.44.
  • Lu, L., and Anderson-Cook, C. M. (2021), “Input-Response Space-Filling Designs,” Quality and Reliability Engineering International, 37, 3529–3551. DOI: 10.1002/qre.2931.
  • Mak, S. (2016), minimaxdesign: Minimax and Minimax Projection Designs, R package version 0.1.5.
  • Mak, S., and Joseph, V. R. (2018), “Minimax and Minimax Projection Designs Using Clustering,” Journal of Computational and Graphical Statistics, 27, 166–178. DOI: 10.1080/10618600.2017.1302881.
  • Mak, S., Sung, C.-L., Wang, X., Yeh, S.-T., Chang, Y.-H., Joseph, V. R., Yang, V., and Wu, C. J. (2018), “An Efficient Surrogate Model for Emulation and Physics Extraction of Large Eddy Simulations,” Journal of the American Statistical Association, 113, 1443–1456. DOI: 10.1080/01621459.2017.1409123.
  • Molesky, S., Lin, Z., Piggott, A. Y., Jin, W., Vucković, J., and Rodriguez, A. W. (2018), “Inverse Design in Nanophotonics,” Nature Photonics, 12, 659–670. DOI: 10.1038/s41566-018-0246-9.
  • Morris, M. D., and Mitchell, T. J. (1995), “Exploratory designs for computational experiments,” Journal of Statistical Planning and Inference, 43, 381–402. DOI: 10.1016/0378-3758(94)00035-T.
  • Naik, R. (1996), “Analysis of Woven and Braided Fabric-Reinforced Composites,” in Composite Materials: Testing and Design: Twelfth Volume, eds. R. Deo and C. Saff, pp. 239–263, West Conshohocken, PA: ASTM International.
  • Ren, Z., Tian, S. I. P., Noh, J., Oviedo, F., Xing, G., Li, J., Liang, Q., Zhu, R., Aberle, A. G., Sun, S., et al. (2022), “An Invertible Crystallographic Representation for General Inverse Design of Inorganic Crystals with Targeted Properties,” Matter, 5, 314–335. DOI: 10.1016/j.matt.2021.11.032.
  • Rhee, C.-H., Zhou, E., and Qiu, P. (2017), “Space-Filling Design for Nonlinear Models,” arXiv preprint arXiv:1710.11616.
  • Roustant, O., Ginsbourger, D., and Deville, Y. (2012), “DiceKriging, DiceOptim: Two R Packages for the Analysis of Computer Experiments by Kriging-based Metamodeling and Optimization,” Journal of Statistical Software, 51, 1–55. DOI: 10.18637/jss.v051.i01.
  • Santner, T. J., Williams, B. J., and Notz, W. I. (2019), The Design and Analysis of Computer Experiments, New York, NY: Springer.
  • Solteiro Pires, E., Tenreiro Machado, J., de Moura Oliveira, P., Boaventura Cunha, J., and Mendes, L. (2010), “Particle Swarm Optimization with Fractional-Order Velocity,” Nonlinear Dynamics, 61, 295–301. DOI: 10.1007/s11071-009-9649-y.
  • Striegel, C., Biehler, J., Wall, W. A., and Kauermann, G. (2022), “A Multifidelity Function-on-Function Model Applied to an Abdominal Aortic Aneurysm,” Technometrics, 64, 279–290. DOI: 10.1080/00401706.2021.2024453.
  • Sun, F., and Gramacy, R. B. (2021), maximin: Space-Filling Design under Maximin Distance, R package version 1.0-4.
  • Torquato, S. (2002), Random Heterogeneous Materials: Microstructure and Macroscopic Properties, New York, NY: Springer.
  • Vakayil, A., and Joseph, V. R. (2023), “A Global-Local Approximation Framework for Large-Scale Gaussian Process Modeling,” arXiv preprint arXiv:2305.10158.
  • Wang, S., and Joseph, V. R. (2023), OSFD: Output Space-Filling Design, R package version 0.1.0. DOI: 10.1080/00401706.2023.2231042.
  • Zhang, N., and Apley, D. W. (2014), “Fractional Brownian Fields for Response Surface Metamodeling,” Journal of Quality Technology, 46, 285–301. DOI: 10.1080/00224065.2014.11917972.

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