1.Springer Handbook of Uncertainty Quantification, R. Ghanem, D. Higdon and H. Owhadi (Eds.), 2016 [ link ]2.Operator adapted wavelets, fast solvers, and numerical homogenization from a game theoretic approach to numerical approximation and algorithm design. H. Owhadi and C. Scovel. Cambridge University Press, Cambridge Monographs on Applied and Computational Mathematics, 2019 [link]3.Kernel Mode Decomposition. H. Owhadi, C. Scovel and G. R. Yoo.Springer 2020[arXiv:1907.08592] [Python source codes]
1.Do ideas have shape? Plato's theory of forms as the continuous limit of artificial neural networks. 2020H. Owhadi[arXiv:2008.03920] [Fields Institute talk] [ slides ]2.Competitive Mirror Descent, 2020F. Schäfer, A. Anandkumar, H. Owhadi[arXiv:2006.10179] [GitHub] [ICMLspotlighttalk]3.Consistency of Empirical Bayes And Kernel Flow For Hierarchical Parameter Estimation. 2020.Y. Chen, H. Owhadi, A. M. Stuart[arXiv:2005.11375] 4.Deep regularization and direct training of the inner layers of Neural Networks with Kernel Flows. 2020.G. R. Yoo and H. Owhadi[arXiv:2002.08335]
Refereed Journal Publications
1.Sparse Cholesky factorization by Kullback-Leibler minimization. 2020.F. Schäfer, M. Katzfuss and H. OwhadiSIAM SISC[arXiv:2004.14455] [Julia source codes] [Talk]2.Learning dynamical systems from data: a simple cross-validation perspective. 2020B. Hamzi and H. OwhadiPhysica D: Nonlinear Phenomena[arXiv:2007.05074]3.Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. 2017.F. Schäfer, T. J. Sullivan and H. Owhadi. SIAM MMS[ arXiv:1706.02205] [Julia souce codes] [Blog] [Talk]4.Statistical Numerical Approximation.H. Owhadi, C. Scovel and F. Schäfer.Notices of the American Mathematical Society, volume 66, number 10, featured article, pages 1608-1617. 2019.[pdf]5. Material-adapted Refinable Basis Functions for Elasticity SimulationJiong Chen, Max Budninskiy, Houman Owhadi, Hujun Bao, Jin Huang, and Mathieu Desbrun.ACM Trans. Graph. (SIGGRAPH Asia), 38(6), Art. 161, 2019.[pdf]6.Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction.H. Xie, L. Zhang and H. Owhadi, SIAM Journal on Numerical Analysis, 2019.[arXiv:1806.00565]7.Kernel Flows: from learning kernels from data into the abyss.H. Owhadi, G. R. Yoo, Journal of Computational Physics, volume 389, Pages 22-47, 2019.[ pdf] [arXiv:1808.04475]Youtube Playlist8.Operator-adapted wavelets for finite-element differential forms. M. Budninskiy, H. Owhadi, M. Desbrun, Journal of Computational Physics, Volume 388, 1 July 2019, Pages 144-177, 2019.9.De-noising by thresholding operator adapted wavelets.G. R. Yoo and H. Owhadi, Statistics and Computing, volume 29, number 6, 1185--1201, 2019.[arXiv:1805.10736]10.Conditioning Gaussian measure on Hilbert space. H. Owhadi and C. Scovel. Journal of Mathematical and Statistical Analysis, 2018. [ arXiv:1506.04208]11.Qualitative Robustness in Bayesian Inference.H. Owhadi and C. Scovel. ESAIM: Probability and Statistics, 2017.[ arXiv:1411.3984]12.Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients. H. Owhadi and Lei Zhang. Journal of Computational Physics, Volume 347, pages 99-128, 2017. [pdf | arXiv:1606.07686]13.On testing the simulation theory.T. Campbell, H. Owhadi, J. Sauvageau and D. Watkinson. International Journal of Quantum Foundations. Volume 3, Issue 3, pages 78-99, 2017. [ pdf | arXiv:1703.00058 ]14.Separability of reproducing kernel spaces. H. Owhadi and C. Scovel. Proceedings of the AMS. Volume 145, Number 5, Pages 2131–2138, 2017. [ pdf | arXiv:1506.04288 ]15.Extreme points of a ball about a measure with finite support. H. Owhadi and C. Scovel. Communications in Mathematical Sciences. Vol. 15, No. 1, pp. 77-96, 2017. [ pdf | arXiv:1504.06745 ]16.Multigrid with rough coefficients and Multiresolution operator decomposition from Hierarchical Information Games. SIAM Review (Research spotlights), 59(1), 99–149, 2017. [ pdf | arXiv:1503.03467 ] Presentation: [ video| slides]17.Energy harvest via parametric super-resonance and temporal homogenization of linear ODEs. M. Tao and H. Owhadi. Archives for Rational Mechanics and Analysis, Volume 220, Issue 1, pp 261-296, 2016. [ pdf | arXiv:1310.6460 ]18.Brittleness of Bayesian inference and new Selberg formulas. H. Owhadi and C. Scovel. Communications in Mathematical Sciences, vol. 14, n. 1, pp. 83-145, 2016.[ pdf | arXiv:1304.7046 ]Presentation: [ slides| slides ]19.Variational and linearly-implicit integrators, with applications. M. Tao and H. Owhadi. IMA J. Numer. Anal, 36 , no. 1, pp. 80–107, 2016. [ pdf | arXiv:1103.4645 ]20.Bayesian Numerical Homogenization. H. Owhadi. SIAM Multiscale Modeling & Simulation, 13, no. 3, pp. 812–828, 2015.[ pdf | arXiv:1406.6668 ]Presentation: [ slides] 21.On the Brittleness of Bayesian Inference. H. Owhadi, C. Scovel and T. Sullivan. SIAM Review (Research spotlights), 57(4), 566-582, 2015. [ pdf | arXiv:1308.6306 | blog 1| blog 2 ]Presentation: [ slides] 22.Convex Optimal Uncertainty Quantification. S. Han, M. Tao, U. Topcu, H. Owhadi and Richard M. Murray. SIAM Journal on Optimization, vol. 25, issue 23, pp. 1368-1387, 2015. [ pdf | arXiv:1311.7130 ]23.Brittleness of Bayesian Inference under Finite Information in a Continuous World. H. Owhadi, C. Scovel and T. Sullivan. Electronic Journal of Statistics, vol 9, pp 1-79, 2015. [ pdf | arXiv:1304.6772 | blog ]Presentation: [ slides] 24.Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. H. Owhadi, L. Zhang and L. Berlyand. ESAIM: Mathematical Modeling and Numerical Analysis. 48, PP. 517–552, 2014.[ pdf | arXiv:1212.0812 ]25.On the Equilibrium of Simplicial Masonry Structures. F. de Goes, P. Alliez, H. Owhadi and M. Desbrun. ACM Transactions on Graphics (SIGGRAPH) 32(4), 2013. [ pdf ]26.Optimal uncertainty quantification for legacy data observations of Lipschitz functions. T. J. Sullivan, M. McKerns, D. Meyer, F. Theil, H. Owhadi and M. OrtizESAIM: Mathematical Modelling and Numerical Analysis (M2AN). Volume 47, Issue 6, pp 1657-1689, 2013. [ pdf | arxiv:1202.1928]27.Variational integrators for electric circuits. S. Ober-Blobaum, M. Tao, M. Cheng, H. Owhadi and J. E. Marsden. Journal of Computational Physics, vol. 242, issue 1, pp. 498–530, 2013. [ pdf | arXiv:1103.1859 ]28.Control of a Model of DNA Division via Parametric Resonance. W. S. Koon, H. Owhadi, M. Tao and T. Yanao. Chaos, 23, 013117, 2013. [ pdf | arXiv:1211.4064 ]29.Optimal Uncertainty Quantification. H. Owhadi, C. Scovel, T. Sullivan, M. McKerns and M. Ortiz. SIAM Review (Expository Research Papers), vol. 55, no. 2 : pp. 271-345, 2013. [ pdf | arXiv:1009.0679 ]Minitutorial: [ slides] 30.Distances and diameters in concentration inequalities: From geometry to optimal assignmentof sampling resource function. T. Sullivan and H. Owhadi. International Journal for Uncertainty Quantification, 2 (1), 2012. [ pdf ]31.Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter. A.A Kidane, A. Lashgari, B. Li, M. McKerns, M. Ortiz, H. Owhadi, G. Ravichandran, M. Stalzer, and T. J. Sullivan. Journal of the Mechanics and Physics of Solids. 60 (5) 983–1001, 2012.[ pdf ]32.Rigorous model-based uncertainty quantification with application to terminal ballistics, part II: Systems with uncontrollable inputs and large scatter. M. Adams, A. Lashgari, B. Li, M. McKerns, J. Mihaly, M. Ortiz, H. Owhadi, A. J. Rosakis, M. Stalzer, and T. J. Sullivan. Journal of the Mechanics and Physics of Solids. 60 (5) 1002–1019, 2012.[ pdf ]33.Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast. H. Owhadi and L. Zhang. SIAM Multiscale Modeling & Simulation, 9, pp. 1373-1398, 2011. [ pdf | arXiv:1011.0986]34.From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials. M. Tao, H. Owhadi and J. Marsden. Applied Mathematics Research Express, vol. 2, pp. 242-280, 2011. [ pdf | arXiv:1006.4659 ]35.Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs. M. Tao, H. Owhadi and J. Marsden. Dynamics of Partial Differential Equations. vol. 8, no. 1, pp. 21-45, 2011. [ pdf | arXiv:1104.0272 ]36.A non-adapted sparse approximation of PDEs with stochastic inputs.A. Doostan and H. Owhadi. Journal of Computational Physics. vol. 230, no. 8, pp. 3015-3034, 2011. [ pdf ]37.A Cutoff Phenomenon in Accelerated Stochastic Simulations of Chemical Kinetics via Flow Averaging (FLAVOR-SSA). B. Bayati, H. Owhadi and P. Koumoutsakos. Journal of Chemical Physics. vol. 133, no. 24, 2010. [ pdf ]38.Rigorous Uncertainty Quantification without Integral Testing.U. Topcu, L. J. Lucas, H. Owhadi and M. Ortiz. Reliability Engineering and System Safety. 96: 1085-1091, 2011. [ pdf ]39.Stochastic simulation of extracting energy with an optically controlled nano-electromechanical engine. F. Khoshnoud, H. Owhadi and C. de Silva. International Journal of Modelling and Simulation, vol. 3, no. 2, 2011.40.Uncertainty Quantification via co-dimension one partitioning.T. Sullivan, U. Topcu, M. McKerns and H. Owhadi. Journal for Numerical Methods in Engineering. vol. 85, issue 12, pp.1499–1521, 2011. [ pdf ]41.Global Energy Matching Method for Atomistic to Continuum Modeling of Self-Assembling Biopolymer Aggregates. L. Zhang, L. Berlyand, M. Fedorov and H. Owhadi. SIAM Multiscale Modeling & Simulation, Volume 8, Issue 5, pp. 1958-1980, 2010. [ pdf ]42.Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systemswith hidden slow dynamics via flow averaging. M. Tao, H. Owhadi and J. E. Marsden. SIAM Multiscale Modeling & Simulation, vol.8, no. 4, pp. 269-1324, 2010. [ pdf | arXiv: 0908.1241 ]Presentation: [ slides] 43.Flux norm approach to finite dimensional homogenization approximations with non-separated scales and high contrast. L. Berlyand and H. Owhadi. Archives for Rational Mechanics and Analysis, vol. 198, no. 2, pp. 677-721, 2010. [ pdf | arXiv: 0901.1463 ]44.Numerical Coarsening of Inhomogeneous Linear Elastic Materials.L. Kharevych, P. Mullen, H. Owhadi and M. Desbrun. ACM Transactions on Graphics (SIGGRAPH), 28(3), 2009.[ pdf ]45.Long-Run Behavior of Variational Integrators in the Stochastic Context. N. Bou-Rabee and H. Owhadi. SIAM Journal of Numerical Analysis, 48, 278-297, 2010. [ pdf ]46.Optimal Control Strategies for Robust Certification.S. Leyendecker, L. J. Lucas, H. Owhadi and M. Ortiz. ASME J. Comput. Nonlinear Dynam, vol. 5, issue 3, 2010.47.Stochastic Variational Integrators. N. Bou-Rabee and H. Owhadi. IMA Journal of Numerical Analysis, vol. 29, pp. 421-443, 2009. Editor's Choice Article, top 5 most downloaded articles in IMA Journal of Numerical Analysis. [ pdf | arXiv: 0708.2187]48.Rigorous Verification, Validation, Uncertainty Quantification and Certification through Concentration-of-Measure Inequalities. L. J. Lucas, H. Owhadi and M. Ortiz. Computer Methods in Applied Mechanics and Engineering, vol. 197, pp. 4591--4609, 2008. [ pdf ]49.Ergodicity for Langevin Processes with Degenerate Diffusion in Momentums. N. Bou-Rabee and H. Owhadi. International Journal of Pure and Applied Mathematics, vol. 45, no. 3, pp. 475-490, 2008. [ pdf | arXiv: 0710.4259]50.Bistable equilibrium points of mercury body burden.H. Owhadi and A. Boulos. Journal of Biological Systems, vol. 16, no. 1, 2008. [ arXiv:q-bio/0606024 ]51.Homogenization of the acoustic wave equation with a continuum of scales.H. Owhadi and L. Zhang. Computer Methods in Applied Mechanics and Engineering, vol. 198, no. 3-4, pp. 397-406, 2008. [ pdf | arXiv: math/0604380 ]Presentation: [ slides| ppt(with embedded videos) ] 52.Homogenization of Parabolic equations with a continuum of space and time scales.H. Owhadi and L. Zhang. SIAM J. Numer. Anal. 46 (2007/08), no. 1, 1--36. [ pdf | arxiv: 0512504]Presentation: [ slides| ppt(with embedded videos) ] 53.Metric Based Up-scaling.H. Owhadi and L. Zhang. Communications on Pure and Applied Mathematics, vol. LX, pp. 0675–0723, 2007. [ pdf| arXiv: math/0505223 ]Presentation: [ slides| ppt(with embedded videos) ] 54.From a Market of Dreamers to Economical Shocks. H. Owhadi. Physica A, vol. 343, pp. 583-602, 2004.[ pdf ]55.Averaging versus Chaos in Turbulent Transport? H. Owhadi. Communications in Mathematical Physics, vol. 247, no. 3, pp. 553--599, 2004. [ pdf | arXiv:math-ph/0402028 ]Presentation: [ slides ]56.Approximation of the effective conductivity of ergodic media by periodization. H. Owhadi. Probability Theory and Related Fields. 125, 225-258, 2003. [ pdf | arXiv:math/0201062 ]57.Multi-scale homogenization with bounded ratios and Anomalous Slow Diffusion. G. Ben Arous and H. Owhadi. Communications on Pure and Applied Mathematics, vol. XVI, pp. 80-113, 2003. [ pdf | arXiv:math/0105258 ]58.Anomalous Slow Diffusion from Perpetual Homogenization on infinitely many scales. H. Owhadi. Annals of Probability, vol. 31, No. 4 - October 2003. [ pdf | arXiv:math/0105165 ]59.Super-diffusivity in a shear flow model from perpetual homogenization. G. Ben Arous and H. Owhadi. Communications in Mathematical Physics, vol. 22, no. 2, pp. 281--302, 2002. [ pdf | arXiv:math/0105199 ]60.Isolation of 10 differentially expressed cDNAsin p53-induced apoptosis: Activation of the vertebrate homologue of the Drosophila seven in absentia gene.R. B. Amson, M. Nemani, J.-P. Roperch, D. Israeli, L. Bougueleret, I. Legall, M. Medhioub, G. Linares-Cruz, F. Lethrosne, P. Pasturaud, L. Piouffre, S. Pieur, L. Susini, V. Alvaro, P. Millasseau, C. Guidicelli, H. Bui, C. Massart, L. Cazes, F. Dufour,H. Bruzzoni-Giovanelli, H. Owhadi, C . Hennion, G. Charpak, J. Dausset, F. Calvo, M. Oren, D. Cohen and A. Telerman.Proceedings of the National Academy of Sciences USA, vol. 93, issue 9, pp. 3953-3957, 1996. [ pdf ]
1.Toward Machine Wald. H. Owhadi and C. Scovel. Springer Handbook of Uncertainty Quantification, pp 1-35, 2016, [ pdf | arXiv:1508.02449 ]2.Modeling Across Scales: Discrete Geometric Structures in Homogenization and Inverse Homogenization. M. Desbrun, R. Donaldson and H. Owhadi, Reviews of Nonlinear Dynamics and Complexity (Wiley). Special issue on Multiscale Analysis and Nonlinear Dynamics. 2012. [ pdf ]Presentation: [ slides| ppt(with embedded videos) ]
1.The game theoretic approach to Uncertainty Quantification, reduced order modeling and numerical analysis.H. Owhadi. 19th AIAA Non-Deterministic Approaches Conference Grapevine, Texas, 2017. [ pdf ]2.Convex optimal uncertainty quantification: Algorithms and a case study in energy storage placement for power grids. S. Han, U. Topcu, M. Tao, H. Owhadi and R. M. Murray.American Control Conference (ACC), 2013.[ pdf ]3.Optimal Uncertainty Quantification.M. Ortiz, H. Owhadi, M. McKerns, T. J. Sullivan and C. Scovel. In Advanced Computational Engineering.12–18 February 2012, ed. O. Allix, C. Carstensen, J. Schröder & P. Wriggers. 4.Variational integrators for electric circuits.S. Ober-Blöbaum, M. Tao and H. Owhadi. Special Issue: Proceedings in Applied Mathematics and Mechanics. vol. 11, issue 1, pp. 783–784, 2011.[ pdf ]5.Uncertainty quantification via codimension-one domain partitioning and a new concentration inequality. T. J. Sullivan, U. Topcu, M. McKerns and H. Owhadi. Social and Behavioral Sciences, vol. 2, no. 6, pp. 7751–7752, 2010.6.Stochastic Simulation of a Casimir Oscillator. F. Khoshnoud, H. Owhadi and C. W. de Silva. IMECE 2010.7.Analysis and Design of a Nano-electromechanical Vibration Sensor. F. Khoshnoud, C. W. de Silva and H. Owhadi. IMECE 2010.8.Multiple target detection using bayesian learning. S. Nair, K. Reddy, H. Owhadi and J. E. Marsden. In Proc. IEEE Conf. Decision and Control, Shanghai, December 2009. 9.Super-diffusion and its collapse in a quenched multi-scale passive transport model. H. Owhadi. ICMP 2003 proceedings.
1.“What is UQ?” C. Scovel, H. Owhadi. T. J. Sullivan, M. McKerns & M. OrtizADTSC Science Highlights 2012, Los Alamos National Laboratory, LA-UR 12-20429:26–27, 2012. [ pdf ]2.The optimal uncertainty algorithm in the mystic framework.M. McKerns, H. Owhadi, C. Scovel, T. J. Sullivan and M. Ortiz. Caltech CACR Technical Report, no. 523, 2010. [ arxiv: 1202.1055 ]3.Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis. H. Owhadi and C. Scovel. 2017. [ arXiv:1703.10761] Minitutorial: [ Part I| Part II| Part III] Lead to this book
1.PhD Dissertation : Anomalous diffusion and homogenization on an infinite number of scales. EPFL (January 2001). Thesis number 2340. [ pdf ]
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