Ilias Bilionis

Ilias Bilionis

Associate Professor of Mechanical Engineering

School of Mechanical Engineering
Purdue University
585 Purdue Mall
West Lafayette, IN 47907-2088

Office: FLEX 3081C

Phone: +1 765 49-60217

Research Interests

  • Uncertainty propagation
  • Inverse problems
  • Propagation of information across scales
  • Optimal learning
  • Materials by design

Awards and Recognitions

  • 2008-2009 Olin Fellowship, Cornell University
  • 2003-2005 Award for best student performance in mathematics, National Technical University of Athens
  • 2004-2005 Award for best student performance, State Scholarship Foundation (IKY)
  • 2003-2005 Award for best student performance, State Scholarship Foundation (IKY)
  • 2003 National Bank of Greece award for high-school students.

Selected Publications

Chen, P., Zabaras, N., & Bilionis, I. (2014). Uncertainty propagation using infinite mixture of Gaussian processes and variational Bayesian inference, in press. Journal of Computational Physics.

Bilionis, I., & Zabaras, N. (2014). Solution of inverse problems with limited forward solver evaluations: a Bayesian perspective. Inverse Problems, 30(1). doi: Artn 015004
Doi 10.1088/0266-5611/30/1/015004

Bilionis, I., Drewniak, B. A., & Constantinescu, E. M. (2014). Crop physiology calibration in CLM. Geoscientific Model Development Discussions. doi: doi:10.5194/gmdd-7-6733-2014

Bilionis, I., Constantinescu, E. M., & Anitescu, M. (2014). Data-driven model for solar irradiation based on satellite observations. Solar Energy, 110, 22-38. doi: 10.1016/j.solener.2014.09.009

Kristensen, J., Bilionis, I., & Zabaras, N. (2013). Relative entropy as model selection tool in cluster expansions. Physical Review B, 87(17). doi: Artn 174112
Doi 10.1103/Physrevb.87.174112

Bilionis, I., Zabaras, N., Konomi, B. A., & Lin, G. (2013). Multi-output separable Gaussian process: Towards an efficient, fully Bayesian paradigm for uncertainty quantification. Journal of Computational Physics, 241, 212-239. doi: Doi 10.1016/J.Jcp.2013.01.011

Bilionis, I., & Zabaras, N. (2013). A stochastic optimization approach to coarse-graining using a relative-entropy framework. Journal of Chemical Physics, 138(4). doi: Artn 044313
Doi 10.1063/1.4789308

Bilionis, I., & Zabaras, N. (2012). Multidimensional adaptive relevance vector machines for uncertainty quantification. Siam Journal on Scientific Computing, 34(6), B881-B908. doi: Doi 10.1137/120861345

Bilionis, I., & Zabaras, N. (2012). Multi-output local Gaussian process regression: Applications to uncertainty quantification. Journal of Computational Physics, 231(17), 5718-5746. doi: Doi 10.1016/J.Jcp.2012.04.047

Bilionis, I., & Koutsourelakis, P. S. (2012). Free energy computations by minimization of Kullback-Leibler divergence: An efficient adaptive biasing potential method for sparse representations. Journal of Computational Physics, 231(9), 3849-3870. doi: Doi 10.1016/J.Jcp.2012.01.033