Publications

Refereed Journal Publications

  • I. Bilionis and N. Zabaras. Solution of inverse problems with limited forward solver evaluations: A fully Bayesian perspective, Inverse Problems, 2013 (under review).
  • J. T. Kristensen*, I. Bilionis, and N. Zabaras. Relative Entropy as model selection tool in cluster expansions. Physical Review B., 87, 174112, 2013. A copy can be found here.
  • I. Bilionis and N. Zabaras, A stochastic optimization approach to coarse-graining using a relative-entropy framework. Journal of Chemical Physics, 138, 044313, 2013. A copy can be found here.
  • I. Bilionis, N. Zabaras, B. A. Konomi, and G. Lin. Multi-output separable Gaussian process: Towards an efficient, fully Bayesian paradigm for uncertainty quantification. Journal of Computational Physics, 241:212-239, 2013. A copy can be found here.
  • I. Bilionis and N. Zabaras. Multidimensional adaptive relevance vector machines for uncertainty quantification. SIAM Journal for Scientific Computing, Vol. 34, No. 6, pp. B881–B908 2012. A copy can be found here.
  • I. Bilionis and N. Zabaras. Multi-output local Gaussian process regression: Applications to uncertainty quantification. Journal of Computational Physics, 231:5718–5746, 2012. A copy can be found here.
  • I. Bilionis and P. S. Koutsourelakis. Free energy computations by minimization of Kullback-Leibler divergence: An efficient adaptive biasing potential method for sparse representations. Journal of Computational Physics, 231:3849–3870, 2012. A copy can be found here.
  • P. S. Koutsourelakis and I. Bilionis. Scalable Bayesian reduced-order models for simulating highdimensional multiscale dynamical systems. Multiscale Modeling and Simulation, 9(1):449–485, 2011. A copy can be found here.

The ‘*’ stands for PhD students I have mentored.

Look also at my Google Scholar profile.

Conferences

  • SIAM Conference on Uncertainty Quantification, Raleigh, NC, April 2-5, 2012. Hierarchical multi-output Gaussian process regression for uncertainty quantification with arbitrary input probability distributions. The presentation can be found here.
  • SIAM Conference on Uncertainty Quantification, Raleigh, NC, April 2-5, 2012. Uncertainty Quantification with High Dimensional, Experimentally Measured Inputs. The presentation can be found here.
  • Cornell University, SCAN, Ithaca, NY, March 5, 2012. Bayesian techniques for uncertainty quantification of computer codes.
  • USA/Brazil Symposium on Stochastic Modeling and Uncertainty Quantification, Rio de Janeiro, Brazil, August 1-5, 2011. Multi-output Local Gaussian Process Regression: Applications to Uncertainty Quantification.
  • 11th U.S. National Congress on Computational Mechanics, Minneapolis, MN, July 25-29, 2011. Sparse Bayesian Kernel Techniques for the Solution of SPDEs.
  • SIAM Computational Science and Engineering Meeting, Reno, NV, February 28-March 2, 2011. Kernel PCA for Stochastic Input Generation of Multiscale Systems. The presentation can be found here.
  • Cornell University, LASSP, Ithaca, NY, June 17, 2010. Learning free energy surfaces by minimizing a Kullback-Leibler divergence.
  • SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, PA, May 23-26 2010. Adaptive free energy calculations for crystalline materials.
  • IV European Conference on Computational Mechanics, Paris, France, May 16-21 2010. Coarse-graining in crystalline materials through adaptive free-energy calculations.

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