DACE Research Group: Publications

For an up to date listing, please see Google Scholar profile.

Book

  1. A. J. Keane and P. B. Nair, ``Computational Approaches for Aerospace Design,'' John-Wiley and Sons, 602 pages, June 2005.

Book chapters

  1. P. B. Nair, ``Stochastic subspace projection schemes for dynamic analysis of uncertain systems," Vibration Analysis of Structures with Uncertainties, editors: A. Belyaev and R.S. Langley, Springer, 2011, pp. 347-360,

  2. P. B. Nair, ``Projection schemes in stochastic finite element analysis,'' Chapter 21 in CRC Engineering Design Reliability Handbook, editors: E. Nikolaidis, D.M. Ghiocel and S. Singhal, CRC Press, Boca Raton, FL, 2004.

  3. Y. S. Ong, P. B. Nair, A. J. Keane and Z. Z. Zhou, ``Surrogate-assisted evolutionary optimization frameworks for high-fidelity engineering design problems,'' Knowledge Incorporation in Evolutionary Computation, editor: Y. Jin, Studies in Fuzziness and Soft Computing Series, Springer Verlag, 2004, pp. 307 -331.

Journal papers

  1. K. Course and P. B. Nair, ``State estimation of a physical system with unknown governing equations,'' Nature 622, 2203,pp. 261–267. https://doi.org/10.1038/s41586-023-06574-8

  2. C Audouze, A Klein, A Butscher, N Morris, PB Nair, and M Yano, ``Robust level-set-based topology optimization under uncertainties using anchored ANOVA Petrov-Galerkin method,'' SIAM/ASA Journal on Uncertainty Quantification, 11(3): 877-905, 2023. DOI:10.1137/22M1524722

  3. G. Dhaliwal, P. B. Nair, and C. V. Singh, “Machine Learned Interatomic Potentials using Random Features,” Nature Computational Materials, 7, 2022. https://doi.org/10.1038/s41524-021-00685-4

  4. A. Klein, P. B. Nair, and M. Yano, ``A priori error analysis of shape derivatives of linear functionals in structural topology optimization," Computer Methods in Applied Mechanics and Engineering, 395, 2022, 114991. https://doi.org/10.1016/j.cma.2022.114991

  5. C. Audouze and P. B. Nair, ``Sparse approximate solutions of stochastic Galerkin equations,'' Comptes Rendus Mathematique, Vol. 357, No. 6, 2019, pp. 561-570. https://doi.org/10.1016/j.crma.2019.05.009

  6. G. Dhaliwal, P. B. Nair and C. V. Singh, ``Uncertainty and sensitivity analysis of mechanical and thermal properties computed through Embedded Atom Method potential," Computational Materials Science, Vol. 166, 2019, pp. 30–41. https://doi.org/10.1016/j.commatsci.2019.03.060

  7. R. Baptista, V. Stolbunov and P. B. Nair, ``Some greedy algorithms for sparse polynomial chaos expansions,” Journal of Computational Physics, Vol. 387, 2019, pp. 303–325. https://doi.org/10.1016/j.jcp.2019.01.035

  8. C. Audouze and P. B. Nair, ``Sparse low-rank separated representation models for learning from data,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475 (2221), 2019. https://doi.org/10.1098/rspa.2018.0490

  9. G. Dhaliwal, P. B. Nair and C. V. Singh, ``Uncertainty analysis and estimation of robust AIREBO parameters for graphene,” Carbon, Vol. 142, 2019, pp. 300–310. https://doi.org/10.1016/j.carbon.2018.10.020

  10. V. Stolbunov and P. B. Nair, ``Sparse radial basis function approximation with spatially variable shape parameters,” Applied Mathematics and Computation, 330, 2018, pp. 170–184. https://doi.org/10.1016/j.amc.2018.02.001

  11. C. Audouze and P. B. Nair, ``A priori error analysis of stochastic Galerkin projection schemes for randomly parametrized ordinary differential equations," International Journal for Uncertainty Quantification, Vol. 6, No. 4, 2016, pp. 287--312.
    DOI: 10.1615/Int.J.Uncertai ntyQuantification.2016015843

  12. W. Xing, V. Triantafyllidis, A. A. Shah, P. B. Nair and N. Zabaras, ``Manifold learning for the emulation of spatial fields from computational models, Journal of Computational Physics, Vol. 326, No. 1, 2016, pp. 666--690. DOI:10.1016/j.jcp.2016.07.040

  13. C. Audouze, P. Hakansson and P. B. Nair, ``A stopping criterion for iterative solution of stochastic Galerkin matrix equations," International Journal for Uncertainty Quantification, Vol. 6, No. 3, 2016, pp. 245--269. DOI: 10.1615/Int.J.Uncertai ntyQuantification.2016016463

  14. W. Xing, A. Shah and P.B. Nair, ``Reduced dimensional Gaussian process emulators of parametrized partial differential equations based on Isomaps," Proceedings of the Royal Society A, 471 (2174), 2015. DOI: 10.1098/rspa.2014.0697.

  15. M. Luersen, C. A. Steeves and P. B. Nair, `` Curved fiber paths optimisation of a composite cylindrical shell via Kriging-based approach, Journal of Composite Materials, In Press. DOI: 10.1177/0021998314568168.

  16. L. Gao, C. Audouze and P. B. Nair, ``Anchored ANOVA Petrov-Galerkin projection schemes for linear stoc hastic structural dynamics," Proceedings of the Royal Society A., 471(20150023) In Press. DOI: 10.1098/rspa.2015.0023.

  17. C. Audouze and P. B. Nair, ``A priori error estimates for finite element approximations of parabolic stochastic partial differential equations with generalized random variables,'' Stochastics, Vol. 87, No. 4, 2015, pp. 537--561. DOI: 10.1080/17442508.2014.989526.

  18. C. Audouze and P. B. Nair, ``Anchored ANOVA Petrov-Galerkin projection schemes for parabolic stochastic partial differential equations,'' Computer Methods in Applied Mechanics and Engineering, Vol. 276, 2014, pp. 362-395. DOI: 10.1016/j.cma.2014.02.023 .

  19. X. Li, P. B. Nair, Z. Zhang and L. Gao, ``Aircraft robust trajectory optimization using nonintrusive polynomial chaos,'' AIAA Journal of Aircraft, Vo. 51, No. 5, 2014, pp. 1592-1603. DOI: 10.2514/1.C032474.

  20. C. Audouze and P. B. Nair, ``Some a priori error estimates for finite element approximations of elliptic and parabolic linear stochastic partial differential equations,'' International Journal for Uncertainty Quantification, Vol. 4, No. 5, 2014, pp. 423-454. DOI: 10.1615/Int.J.UncertaintyQuantification.2014007972

  21. F. Galloway, M. Kahnt, H. Ramm, P. Worsley, S. Zachow, P. B. Nair and M. Taylor, ``A large scale finite element study of a cementless osseointegrated tibial tray,'' Journal of Biomechanics, Vol. 26, No. 11, 2013, pp. 1900-1906. DOI: 10.1016/j.jbiomech.2013.04.021.

  22. P. Hakansson, T.-N. Nguyen, P. B. Nair, R. Edge and E. Stulz, “Cu(II)-porphyrin molecular dy- namics as se en in a novel EPR/Stochastic Liouville equation study,” Physical Chemistry Chemical Physics, Vol. 15, No. 26, 2013, pp. 10930–10941. DOI: 10.1039/C3CP50788B

  23. C. Audouze, F. De Vuyst and P. B. Nair, ``Nonintrusive reduced-order modeling of parametrized time-dependent partial differential equations,'' Numerical Methods for Partial Differential Equations, Vol. 29, No. 5, 2013, pp. 1587–1628. DOI: 10.1002/num.21768.

  24. C. Audouze and P. B. Nair, ``Galerkin reduced-order modeling scheme for time-dependent randomly parametrized linear partial differential equations,'' International Journal for Numerical Methods in Engineering, Vol. 91, No. 4, 2012, pp. 370-398 DOI:10.1002/nme.4341.

  25. R. Bryan, P. B. Nair and M. Taylor, ``Influence of femur size and morphology on load transfer in the resurfaced femoral head: A large scale, mult-subject finite element study,'' Journal of Biomechanics, Vol. 45, No. 11, 2012, pp. 1952-1958 DOI:10.1016/j.jbiomech.2012.05.015.

  26. F. Galloway, P. Worsley, M. Stokes, P. B. Nair and M. Taylor, ''Development of a statistical model of knee kinetics for applications in pre-clinical testing,'' Journal of Biomechanics, Vol. 45, No. 1, 2012, pp. 191-195. DOI:10.1016/j.jbiomech.2011.09.009.

  27. P. Hakansson and P. B. Nair, ''Implicit numerical schemes for the stochastic Liouville equation in Langevin form,'' Physical Chemistry Chemical Physics, Vol. 13, 2011, pp. 9578--9589 DOI:10.1039/c1cp20400a.

  28. P. S. Mohan, P. B. Nair and A. J. Keane, ''Stochastic projection schemes for deterministic linear elli ptic stochastic partial differential equations on random domains,'' International Journal for Numerical Methods in Engineering, Vol. 85, No. 7, 2011, pp. 874-895. DOI:10.1002/nme.3004

  29. N. Thakur, A. J. Keane, P. B. Nair, ''Robust design of turbine blades against manufacturing variablity,'' International Journal of Reliability and Safety, Vol. 5, 2011, pp. 420--436. DOI: 10.1504/IJRS.2011.04118

  30. M. T. Bah, P. B. Nair, M. Taylor and M. Browne, ''Efficient computational methods for assessing the effects of implant positioning in cementless total hip replacements,'' Journal of Biomechanics, Vol. 44, No. 7, 2011, pp. 1417-1422. DOI:10.1016/j.jbiomech.2010.12.027

  31. H. Ozturk, P. B. Nair and M. Browne, ``Computational assessment of the coefficient of friction on cementless hip replacement stability," Computer Methods in Biomechanics and Biomedical Engineering, Vol 14, 2011, pp. 209--210.

  32. N. Thakur, A. J. Keane, P. B. Nair and A. R. Rao, ''Probabilistic life assessment of gas turbine blades,'' ASME Journal of Mechanical Design, Vol. 132, No. 12, 2010, pp. 121005-1 - 121005-9. DOI: 10.1115/1.4002806

  33. R. Bryan, P. S. Mohan, A. Hopkins, F. Galloway, M. Taylor, P. B. Nair, ''Statistical modelling of the whole human femur incorporating geometric and material properties, Medical Engineering and Physics, Vol. 32, No. 1, 2010, pp. 57-65. DOI:10.1016/j.medengphy.2009.10.008

  34. M. T. Bah, P. B. Nair and M. Browne, ''Mesh morphing for finite element analysis of implant positioning in cementless total hip replacements,'' Medical Engineering and Physics, 2009, Vol. 31, No. 10, 2009, pp. 1235-1243. DOI:10.1016/j.medengphy.2009.08.001

  35. C. Audouze, F. De Vuyst and P. B. Nair, ''Reduced-order modeling of parameterized PDEs using time-space-pa rameter principal component analysis,'' International Journal for Numerical Methods in Engineering, Vol. 80, No. 8, 2009, pp. 1025-1057. DOI:10.1002/nme.2540.

  36. P. P. Chinchapatnam, K. Djidjeli, P. B. Nair and M. Tan, ''A compact RBF-FD based meshless method for the incompressible Navier-Stokes equations,'' Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, Fluid-Structure Interactions: A Special Issue in Honour of Professor W. Geraint Price, Vol. 223, No. 3, 2009, pp. 275--290. DOI:10.1243/14750902JEME151

  37. R. Bryan, P. B. Nair and M. Taylor, ''Use of a statistical model of the whole femur in a large scale, multi-model study of femoral neck fracture risk,'' Journal of Biomechanics, Vol. 42, No. 13, 2009, pp. 2171--2176. DOI:10.1016/j.jbiomech.2009.05.038

  38. P. S. Mohan, P. B. Nair and A. J. Keane, ''Inexact Picard iterative scheme for steady-state nonlinear diffusion in random heterogeneous media,'' Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 79, 046706, 2009. DOI:10.1103/PhysRevE.79.046706

  39. A. Sobester, P. B. Nair and A. J. Keane, ``Genetic programming algorithms for solving elliptic partial differential equations,'' IEEE Transactions on Evolutionary Computation, Vol. 12, No. 4, 2008, pp. 469-478. DOI:10.1109/TEVC.2007.908467

  40. P. S. Mohan, P. B. Nair and A. J. Keane, ``Multi-element stochastic reduced basis methods,'' Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 17-18 , 2008, pp. 1495-1506. DOI:doi:10.1016/j.cma.2007.11.021

  41. A. Kumar, P. B. Nair, A. J. Keane and S. Shahpar, ``Robust design using Bayesian Monte Carlo,'' I nternational Journal for Numerical Methods in Engineering, Vol. 73, No. 11, 2008, pp. 1497-1517. DOI:10.1002/nme.2126

  42. V. B. Kolachalama, N. W. Bressloff, P. B. Nair, and C. P. Shearman, ``Predictive haemodynamics in a one dimensional human carotid artery bifurcation. Part II: Application to graft design,'' IEEE Transactions on Biomedical Engineering, Vol. 55, No. 3, 2008, pp. 1176-1184. DOI:10.1109/TBME.2007.912398

  43. Y. S. Ong, K. Y. Lum and P. B. Nair, ``Hybrid evolutionary algorithm with Hermite radial basis function interpolants for computationally expensive adjoint solvers,'' Computational Optimization and Applications, Vol. 39, 2008, pp. 97-119. DOI: 10.1007/s10589-007-9065-5

  44. K. V. Bhaskar, N. W. Bressloff and P. B. Nair, ``Mining data from haemodynamic simulations via Bayesian emulation,'' Biomedical Engineering Online, Vol. 6, Article No. 47, 2007. DOI:10.1186/1475-925X-6-47

  45. P. P. Chinchapatnam, K. Djidjeli, and P. B. Nair, ``Radial basis function meshless method for the stea dy incompressible Navier-Stokes equations,'' International Journal of Computer Mathematics, Vol. 84, 2007, pp. 1509-1526. DOI:10.1080/00207160701308309

  46. V. B. Kolachalama, N. W. Bressloff, P. B. Nair, and C. P. Shearman, ``Predictive haemodynamics in a one dimensional human carotid artery bifurcation. Part I: Application to stent design,'' IEEE Transactions on Biomedical Engineering, Vol. 54, No. 5, 2007, pp. 802-812. DOI:10.1109/TBME.2006.889188

  47. S. K. Sachdeva, P. B. Nair and A. J. Keane, "On using deterministic FEA software to solve problems in stochastic mechanics," Computers and Structures, Vo. 85, 2007, pp. 27 7-290. doi:10.1016/j.compstruc.2006.10.008

  48. P. P. Chinchapatnam, K. Djidjeli, and P. B. Nair, "Domain decomposition for time-dependent problems using radial based meshless methods," Numerical Methods for Partial Differential Equations, 23(1), 2007, pp. 38-59. DOI:10.1002/num.20171

  49. A. Kumar, A. J. Keane, P. B. Nair and S. Shahpar, ``Robust design of compressor fan blades against erosion,'' ASME Journal of Mechanical Design, Vol. 128, No. 4, 2006, pp. 864-873. doi:10.1115/1.2202886

  50. S. K. Sachdeva, P. B. Nair and A. J. Keane, ``Hybridization of stochastic reduced basis methods with polynomial chaos expansions,'' Probabilistic Engineering Mechanics, Vol. 21, No. 2, 2006, pp. 182-192. doi:10.1016/j.probengmech.2005.09.003

  51. Y. S. Ong, P. B. Nair and K. Y. Lum, ``Max-Min surrogate-assisted evolutionary algorithm for robust aerodynamic design,'' IEEE Transactions on Evolutionary Computation, Vol. 10, No. 4, 2006, pp. 392-404. doi:10.1109/TEVC.2005.859464

  52. P. P. Chinchapatnam, K. Djidjeli, and P. B. Nair, ``Unsymmetric and symmetric meshless schemes for the unsteady convection-diffusion equation,'' Computer Methods in Applied Mechanics and Engineering, Vol. 195, No. 19-22, 2006, pp. 2432-2453. doi:10.1016/j.cma.2005.05.015

  53. Z. Zhou, Y. S. Ong, P. B. Nair, A. J. Keane and K. Y. Lum, ``Combining global and local surrogate models to accelerate evolutionary optimization,'' IEEE Transactions on Systems Man and Cybernetics, Part C, Vol. 36, No. 6, 2006, pp. 814-823. 10.1109/TSMCC.2005.855506

  54. S. K. Sachdeva, P. B. Nair, and A. J. Keane, ``Comparative study of projection schemes for stochastic finite element analysis,'' Computer Methods in Applied Mechanics and Engineering, Vol. 195, No. 19-22, 2006, pp. 2371-2392. doi:10.1016/j.cma.2005.05.010

  55. A. Choudhury, P. B. Nair and A. J. Keane, ``Constructing a speculative kernel machine for pattern classification,'' Neural Networks, Vo. 19, No. 1, 2006, pp. 84-89. doi:10.1016/j.neunet.2005.06.051

  56. Y. S. Ong, P. B. Nair, and A. J. Keane, ``Evolutionary optimization of computationally expensive problems via surrogate modeling,'' AIAA Journal, Vol. 40, No. 4, 2003, pp. 687-696.

  57. M. T. Bah, P. B. Nair, A. Bhaskar, and A. J. Keane, ``Forced response analysis of mistuned bladed disks: a stochastic reduced basis approach,'' Journal of Sound and Vibration, Vol. 263, No. 2, 2003, pp. 377-397.

  58. P. B. Nair and A. J. Keane, ``An approximate solution scheme for the algebraic random eigenvalue problem,'' Journal of Sound and Vibration, Vol. 260, No. 1, 2003, pp. 45-65.

  59. P. B. Nair, A. Choudhury and A. J. Keane, ``Some greedy learning algorithms for sparse regression and classification with Mercer kernels,'' Journal of Machine Learning Research, Vol. 3, 2002, pp. 781-801. [Download Paper]

  60. P. B. Nair and A. J. Keane, ``Stochastic reduced basis methods,'' AIAA Journal, Vol. 40, No. 8, 2002, pp. 1653 - 1664.

  61. P. B. Nair and A. J. Keane, ``Coevolutionary architecture for distributed optimization of complex coupled systems,'' AIAA Journal, Vol. 40, No. 7, 2002, pp. 1434-1443.

  62. P. B. Nair, ``Equivalence between the combined approximations technique and Krylov subspace methods,'' AIAA Journal, Vol. 40, No. 5, 2002, pp. 1021-1023.

  63. A. J. Keane and P. B. Nair, ``The design of large flexible space structures with intrinsic vibration filtering capability - status and directions,'' Advances in Vibration Engineering, Vol. 1, No. 2, 2002.

  64. A. J. Keane and P. B. Nair, ``Problem solving environments for aerospace design,'' Advances in Engineering Software, Vol. 32, 2001, pp. 477-487.

  65. P. B. Nair and A. J. Keane, ``Passive vibration suppression of flexible space structures via optimal geometric redesign,'' AIAA Journal, Vol. 39, No. 7, 2001, pp. 1338-1346.

  66. P. B. Nair, A. J. Keane and R. S. Langley, "Improved first-order approximation of eigenvalues and eigenvectors," AIAA Journal, Vol. 36, No. 9, 1998, pp. 1721-1727.

Conference papers

  1. K. Course and P. B. Nair, “Amortized reparametrization: efficient and scalable variational inference for latent SDEs,” Neural Information Processing Systems, NeurIPS 2023.

  2. K. Course, T. W. Evans and P. B. Nair, "Weak form generalized Hamiltonian learning,” Neural Information Processing Systems, NeurIPS 2020.

  3. C. Audouze and P. B. Nair, “Sparse low-rank separated represention models for regress ion”, SIAM Conference on Computational Science and Engineering, Spokane, WA, February 25 – March 1, 2019.

  4. T. W. Evans and P. B. Nair, “Discretely relaxing continuous variables for tractable variational in ference,” Neural Information Processing Systems (NIPS 2018), Spotlight paper.

  5. T. W. Evans and P. B. Nair, “Scalable Gaussian processes with grid-structured eigenfunctions (GP- GRIE F),” Proceedings of the International Conference on Machine Learning (ICML2018), 2018.

  6. T. W. Evans and P. B. Nair, “Exploiting structure for fast kernel learning,” Proceedings of the SIAM I nternational Conference on Data Mining (SDM2018), San Diego, CA, 2018.

  7. T. W. Evans and P. B. Nair, “Scalable Gaussian processes with grid-structured eigenfunctions (GP- GRI EF),” 31st Conference on Neural Information Processing Systems (NIPS 2017), Workshop on Approximate Bayesi an Inference, Long Beach, CA.

  8. J. Beland and P. B. Nair, “Bayesian optimization under uncertainty,” 31st Conference on Neural Inform ation Processing Systems (NIPS 2017), Workshop on Bayesian Optimization, Long Beach, CA.

  9. L. Gao, *C. Audouze and P. B. Nair, “Anchored ANOVA Petrov-Galerkin projection schemes for solving li near stochastic structural dynamics problems, Proceedings of the First International Conference on Uncerta inty Quantification in Computational Science and Engineering, Crete, Greece, May 25-27, 2015.

  10. P. B. Nair, *C. Audouze and *M. Li, “Greedy anchored decomposition strategies for a class of high- di mensional problems in uncertainty quantification,” Proceedings of the First International Confer- ence on Uncertainty Quantification in Computational Science and Engineering, Crete, Greece, May 25-27, 2015.

  11. C. Audouze and P. B. Nair, “Anchored ANOVA Petrov-Galerkin (AAPG) projection schemes for parabolic st ochastic partial di↵erential equations,” SIAM Conference on Computational Science and Engineering, 2015.

  12. M. Li, C. Audouze and P. B. Nair, “An anchored separation of variables Petrov-Galerkin projection sch eme for a class of high-dimensional elliptic partial di↵erential equations,” SIAM Conference on Computatio nal Science and Engineering, 2015.

  13. P. B. Nair and *C. Audouze, “Decomposition strategies for scaling up stochastic Galerkin projection s chemes,” Proceedings of the IUTAM Symposium on Multiscale Problems in Stochastic Mechanics, Karlsruhe, Ger many, 25-29 June, 2012.

  14. P. Hakansson, T. N. Nguyen, E. Stulz, M. H. Levitt and P. B. Nair, "Robust new solver for Stochastic Liouville equation in Langevin form: EPR line shapes,'' Proceedings of the 17th ISMAR Conference, J uly 4-9, 2010.

  15. M. T. Bah, P. B. Nair and M. Browne, "Rapid analysis of implant positioning effects in cementless total hip replacements,'' Proceedings of the 18th European Conference on Orthopaedics, Davos, June 30 – J uly 2, 2010.

  16. R. Bryan, P. B. Nair and M. Taylor, "An automated, large scale finite element study into the influence of under and over sizing femoral resurfacing on load transfer through the proximal femur,'' Proceedings of the 18th European Conference on Orthopaedics, Davos, June 30–July 2, 2010.

  17. P. B. Nair, P. Hakansson and C. A. Audouze, “Prospects for overcoming the curse of dimensionality in poly nomial chaos based stochastic projection schemes,'' Proceedings of the 4th European Conference on Compu tational Mechanics (ECCSM IV), Paris, May 16-21, 2010.

  18. C. Audouze, P. Hakansson and P. B. Nair, ``Reduced-order modeling of randomly parametrized PDEs,'' Proceedings of the 4th European Conference on Computational Mechanics (ECCSM IV), Paris, May 16-21, 2010.

  19. N. Thakur, A. J. Keane and P. B. Nair, "Estimating the effect of manufacturing variability on turbine bla de life,'' Proceedings of the 4th Workshop on Reliable Engineering Computing, Singapore, March 3-5, 2010.

  20. R. Bryan, P. B. Nair and M. Taylor, "Influence of femoral head resurfacing on load transfer in proximal femur - an automated FE study of 260 femurs,'' Proceedings of the 56th Meeting of the Orthopaedic Research Society, New Orleans, March 6-9, 2010.

  21. R. Bryan, P. B. Nair and M. Taylor, "Influence of head diameter on load transfer in the resurfaced proximal femur - a finite element study,'' Proceedings of the 56th Meeting of the Orthopaedic Research Society, New Orleans, March 6-9, 2010.

  22. H. Ozturk, P. B. Nair and M. Browne, "Computational and experimental assessment of primary stability of a cementless total hip replacement: The effect of the stem positioning," Proceedings of the 9th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, Valencia, Spain, February 2010.

  23. F. Galloway, R. Bryan, M. Taylor and P. B. Nair, "An improved registration scheme with application to statistical shape modelling of the human femur,” Proceedings of the 9th International Symposium on C omputer Methods in Biomechanics and Biomedical Engineering, Valencia, Spain, February 2010.

  24. H. Ozturk, A. M. H. Jones, S. L. Evans, P. B. Nair and M. Browne, "Experimental and finite element corroboration of the mechanical behavior of a cementless hip replacement,'' Proceedings of the 22nd Annual Congress of the International Society for Technology in Arthoplasty, Hawaii, October, 2009 .

  25. M. T. Bah, P. B. Nair and M. Browne, "A novel computational tool for the analysis of implant p ositioning effects in cementless total hip replacements,'' Proceedings of the 22nd Annual Congress of the International Society for Techno logy in Arthoplasty, Hawaii, October, 2009.

  26. N. Thakur, A. J. Keane and P. B. Nair, "Probabilistic analysis of manufacturing uncertainty in turbine blades,'' Proceedings of the ASME Design Engineering Technical Conference (DETC2009), ASME,San Diego, September, 2009.

  27. P. B. Nair, ''Stochastic subspace projection schemes for dynamic analysis of uncertain systems,'' Proceedings of the IUTAM Symposium on Vibration Analysis of Strucures with Uncertanties, 5-9 July 2009, St. Petersburg.

  28. P. Chinchapatnam, K. S. Rhode, M. Ginks, P. B. Nair, R. Razavi, S. R. Arridge, M. Sermesant, ''Voxel based adaptive meshless method for cardiac electrophysiology simulation,'' Proceedings of the 5th International Conference on Functional Imaging and Modeling of the Heart (FIHM), 3-5 June, Nice, France, 2009, pp. 182-190. DOI:10.1007/978-3-642-01932-6_20.

  29. P. Surya Mohan, P. B. Nair and A. J. Keane, ''Uncertainty in thermal analysis of gas turbine blades'' , Proceedings of the 11th AIAA Non-deterministic Approaches Conference, AIAA Paper No. 2009-2262, Palm Springs, California, 2009.

  30. R. Bryan, P. B. Nair and M. Taylor, ''Use of a statistical model of geometry and material properties in a 1000 femur study of femoral neck fracture,'' and material property distribution,'' Proceedings of the 55th Annual Meeting of the Orthopaedic Research Society, 22-25 February 2009, Las Vegas, Nevada.

  31. N. Thakur, A. J. Keane, and P. B. Nair, "Capture of Manufacturing Uncertainty in Turbine Blades throug h Probabilistic Techniques", pp. 387-396 in Proc. 7th ASMO UK Conf. Eng. Design Optimization, ed. Vassili V. Toropov, Osvaldo M. Querin, H. Alicia Kim, Richard Butler and Johann Sienz, ISBN: 978-0-85316-272-8, Ba th, 2008.

  32. P. B. Nair, ''Tackling geometric uncertainty with stochastic projection schemes,'' 8th World Congress on Computational Mechanics (WCCM8), June 30 - July 5, 2008, Venice, Italy.

  33. R. Bryan, P. S. Mohan, A. Hopkins, P. B. Nair and M. Taylor, ''Generation of a statistical model of the whole femur incorporating shape and material property distribution,'' Proceedings of the 54th Annual Meeting of the Orthopaedic Research Society, March 2-5 2008, San Francisco, CA.

  34. A. Kumar, A. J. Keane, P. B. Nair and S. Shahpar, ``Robust Design of Compressor Fan Blades against Manufacturing Variations,'' Proceedings of ASME International Engineering Techology Conference and Computers and Information in Engineering Conference (IDETC/CIE), Pennsylvania, Sept 2006, DETC2006-99304.

  35. A. Kumar, A. J. Keane, P. B. Nair and S. Shahpar, ``Efficient Robust Design for Manufacturing Process Capability,'' Proceedings of the 6th ASMO-UK/ISSMO International Conference on Engineering Design Optimization, editors: J. Sienz, O.M. Querin, V.V. Toropov and P Gosling, Oxford, July 2006, pp. 242-250.

  36. P. P. Chinchapatnam, K. Djidjeli and P. B. Nair, ``Meshless Collocation with Radial Basis Functions for Steady Incompressible Viscous Flow,'' Proceedings of the 36th AIAA Fluid Dynamics Conference, AIAA Paper 2006-3525, San Francisco, CA, June 2006.

  37. V. B. Kolachalama, N. W. Bressloff, P. B. Nair and C. P. Sherman, ``Parametric Study of the Haemodynamic Behavior in a One Dimensional Systemic Elastic Artery: Application to Stent Design,'' 12th International Conference on Biomedical Engineering, Singapore, 7-10 December 2005.

  38. P. B. Nair, "Greedy Unsymmetric Collocation,'' ECCOMAS Thematic Conference on Meshless Methods, Lisbon, July 11-14, 2005.

  39. P. P. Chinchapatnam, K. Djidjeli and P. B. Nair, "Meshfree Solution of the Burgess Equation,'' ECCOMAS Thematic Conference on Meshless Methods, Lisbon, July 11-14, 2005.

  40. A. Kumar, A. J. Keane, P. B. Nair and S. Shahpar, "Efficient Genetic Algorithm Based Robust Design Method for Compressor Fan Blades,'' Proceedings of the ASME International Design Engineering Technical Conference, September 2005.

  41. A. Kumar, P. B. Nair, A. J. Keane and S. Shahpar, "Probabilistic Performance Analysis of Eroded Compressor Blades,'' Proceedings of the 2005 ASME Power Conference, PWR2005-50070, April 5-7, 2005.

  42. S. K. Sachdeva, P. B. Nair and A. J. Keane, "Recent Advances in Stochastic Reduced Basis Projection Schemes,'' Proceedings of the 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Austin, TX, April 18-21, 2005.

  43. S. K. Sachdeva, P. B. Nair and A. J. Keane, "A New Projection Scheme for Linear Stochastic Systems,'' Proceedings of the Third M.I.T. Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005.

  44. K. V. Bhaskar, N. W. Bressloff and P. B. Nair, "Multiobjective Shape Optimization of the Human Carotid Artery,'' Proceedings of the Third M.I.T. Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005.

  45. P. P. Chinchapatnam, K. Djidjeli and P. B. Nair, "Meshless Domain Decomposition Scheme for Nonlinear Elliptic PDEs,'' Proceedings of the Third M.I.T. Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005.

  46. K. Djidjeli, P. P. Chinchapatnam, P. B. Nair and W. G. Price, "Global and compact meshless schemes for the unsteady convection-diffusion equation,'' Proceedings of the International Symposium on Health Care and Biomedical Research Interaction, Oujda, Morocco, October, 2004.

  47. P. B. Nair, ''Stochastic Meshfree Projection Scheme for Flow in Random Porous Media,'' Proceedings of the ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford, 2004.

  48. Z. Z. Zhou, Y. S. Ong and P. B. Nair, ``Hierarchical Surrogate-Assisted Evolutionary Optimization Framework,'' IEEE Congress on Evolutionary Computation, Special Session on Learning and Approximation in Design Optimization, Portland, USA, June 20-23, 2004.

  49. A. Sobester, P. B. Nair, and A. J. Keane, ``Evolving Intervening Variables for Response Surface Approximations,'' Proceedings of the 10th AIAA/ISSMO Multi-disciplinary Analysis and Optimization, August 30 - September 1, 2004, AIAA Paper 2004-4379.

  50. Y. S. Ong, K.Y. Lum, P. B. Nair, D.M. Shi and Z.K. Zhang, "Surrogate-Assisted Hybrid Evolutionary Algorithm for Aerodynamic Shape Design Using Adjoint Solvers", Congress on Evolutionary Computation, Special Session on Design Optimisation with Evolutionary Computation, December 8-12, 2003, Canberra, Australia.

  51. M. T. Bah, P. B. Nair, A. Bhaskar and A. J. Keane, ''Stochastic Component Mode Synthesis,'' Proceedings of the 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Norfolk, VA, April 7-10, 2003.

  52. M. T. Bah, P. B. Nair, A. Bhaskar and A. J. Keane, ``Efficient Prediction of the Forced Response Statistics of Mistuned Bladed Disks,'' to appear in Proceedings of the Eighth International Conference on Recent Advances in Structural Dynamics, Southampton, July 14-16, 2003.

  53. Y. S. Ong, A. J. Keane, and P. B. Nair, ``Surrogate-Assisted Coevolutionary Search,'' 2002, Invited Paper, Proceedings of the 4th Asia-Pacific Conference on Simulated Evolution and Learning, Singapore, November 2002.

  54. P. B. Nair, ``Physics-Based Surrogate Modeling of Parameterized PDEs for Optimization and Uncertainty Analysis,'' Proceedings of the 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Denver, CO, 2002, AIAA Paper 2002-1586. paper

  55. M. T. Bah, P. B. Nair, A. Bhaskar, and A. J. Keane, ``Statistical Analysis of Mistuned Bladed Disks using Stochastic Reduced Basis Methods,'' Proceedings of the 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Denver, CO, 2002, AIAA Paper 2002-1534.

  56. A. Choudhury, P. B. Nair, and A. J. Keane, ``A Data Parallel Approach for Large-Scale Gaussian Process Modeling,'' Proceedings of the Second SIAM International Conference on Data Mining, April 11-13, Arlington, VA, 2002.

  57. A. B. Ravi, P. B. Nair, M. Tan, and W. G. Price, ``Optimal Feedforward and Feedback Control of Vortex Shedding Using Trust-Region Algorithms,'' Proceedings of the First AIAA Flow Control Conference, St. Louis, June 24 - 27, 2002, AIAA Paper 2002-3076.

  58. P. B. Nair, A. Choudhury and A. J. Keane, ``Some Greedy Algorithms for Sparse Nonlinear Regression,'' Proceedings of the Eighteenth International Conference on Machine Learning, MA, June 28-July 1, 2001.

  59. P. B. Nair, ``On the Theoretical Foundations of Stochastic Reduced Basis Methods,'' Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Seattle, WA, 2001. AIAA Paper No. 2001-1677.

  60. P. B. Nair, A. Choudhury and A. J. Keane, ``A Bayesian Framework for Uncertainty Analysis Using Deterministic Black-Box Simulation Codes,'' Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Seattle, WA, 2001. AIAA Paper No. 2001-1676.

  61. A. J. Keane and P. B. Nair, “Design of Large Flexible Space Structures with Intrinsic Vibration Filtering Capability - Status and Directions,” Proceedings of the First International Conference on Vibration Engineering and Technology of Machinery, Invited Paper, Bangalore, October 25-27, 2000.

  62. P. B. Nair and A. J. Keane, ``Reduced Basis Representation of Large-Scale Random Eigenvalue Problems,'' Proceedings of the 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Atlanta, GA, 2000. AIAA Paper No. 2000-1828.

  63. P. B. Nair and A. J. Keane, ``New Developments in Computational Stochastic Mechanics, Part I: Theory,'' Proceedings of the 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Atlanta, GA, 2000, AIAA Paper No. 2000-1827.

  64. P. B. Nair and A. J. Keane, ``New Developments in Computational Stochastic Mechanics, Part II: Applications,'' Proceedings of the 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Atlanta, GA, 2000. AIAA Paper No. 2000-1441.

  65. M. A. El-Beltagy, P. B. Nair, and A. J. Keane, ``Metamodeling Techniques for Evolutionary Optimization of Computationally Expensive Problems: Promises and Limitations,'' GECCO-99 : Proceedings of the Genetic and Evolutionary Computation Conference, July 13-17, 1999, Orlando, FL, Morgan Kaufmann Publishers.

  66. P. B. Nair and A. J. Keane, "Design Optimization of Space Structures With Nonperiodic Geometries for Vibration Suppression," Proceedings of the 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, St. Louis, MO, AIAA Paper No. 99-1260, 1999.

  67. P. B. Nair and A. J. Keane, "Coevolutionary Genetic Adaptation: A New Paradigm for Distributed Multidisciplinary Design Optimization," Proceedings of the 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, St. Louis, MO, AIAA Paper No. 99-1428, 1999.

  68. P. B. Nair, R. S. Langley and A. J. Keane, "On the Approximation of Frequency Constraints in Structural Optimization," Proceedings of the First ISSMO/NASA/AIAA Internet Conference on Approximations and Fast Reanalysis in Engineering Optimization, June 14-27, 1998.

  69. P. B. Nair, "Exploring Future Directions in Multidisciplinary Design Optimization of Controlled Space Structures," presented at the 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Long Beach, CA, 1998.

  70. P. B. Nair, A. J. Keane, and R. P. Shimpi, "Combining Approximation Concepts With Genetic Algorithm-Based Structural Optimization Procedures," Proceedings of the 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Long Beach, CA, AIAA Paper No. 98-1912, 1998.

  71. P. B. Nair, "Approximate Static and Dynamic Reanalysis Techniques for Structural Optimization," Modern Practice in Stress and Vibration Analysis, editor: M.D.Gilchrist, Balkema Publishers, Rotterdam, 1997, pp. 295-302.

  72. P. B. Nair and R. P. Shimpi, "Integration of Approximate Reanalysis Techniques in Genetic Algorithm-Based Structural Optimization," in abstracts of papers presented at the Second World Congress on Structural and Multidisciplinary Optimization, Zakopane, Poland, 1997.

  73. P. B. Nair and P. M. Mujumdar, "Structural System Identification Using Genetic Algorithms," Proceedings of the International Conference on Identification in Engineering Systems, editors: M.I.Friswell and J.E.Mottershead, Swansea, U.K, 1996, pp. 520-529.