Lekha Patel

Scientific Machine Learning

Author profile picture

Scientific Machine Learning

lpatel@sandia.gov

Google Scholar

Personal Website

(505) 313-3215

Biography

I am a mathematician and computational statistician whose research interests broadly lie in the fields of statistical computing, statistical learning of partially-observed stochastic processes, stochastic PDEs for uncertainty quantification and Bayesian nonparametrics. Other areas of interest include spatial-temporal statistical modeling, extreme value analysis and Bayesian variable selection. Recently, I have developed an interest in physics-informed statistical learning for bridging spatial-temporal scales of physical phenomena. Applications of my work include in bioinformatics, cyber-security, climatology (especially within the atmospheric sciences) and the social sciences.

Education

Ph.D. in Mathematics, Imperial College London, 2019

B.S. in Mathematics, Imperial College London, 2015

Publications

  • 2023
  • Pattyn, C.A., Wright, J.B., Bachman, W.B., Redman, B.J., Vanderlaan, J.D., Glen, A., Sanchez, A.L., Westlake, K., Patel, L., Bentz, B.Z., & Bentz, B.Z. (2023). Influence of NaCl concentration on the optical scattering properties of water-based aerosols. Applied Optics, 62(20), pp. 5571-5579. https://doi.org/10.1364/ao.492544 Publication ID: 107000
  • Patel, L., Bosler, P.A., McMichael, L., Blossey, P., Wood, R., & Wood, R. (2023). A Novel Stochastic Parameterization for Lagrangian Modeling of Atmospheric Aerosol Transport [Conference Poster]. https://doi.org/10.2172/2431145 Publication ID: 127968
  • Patel, L., Bosler, P.A., mc Michael, L., Blossey, P., Wood, R., Schmidt, M.J., & Schmidt, M.J. (2023). A Lagrangian model with stochastic wind for atmospheric aerosol transport [Conference Presenation]. https://doi.org/10.2172/2431827 Publication ID: 130308
  • Patel, L., McGeehan, D., Schwertner-Watson, E.K., Shakamuri, M., Huerta, J.G., Christensen, F., & Christensen, F. (2023). Toward real-time intrusion detection in cyber networks [Conference Presenation]. https://doi.org/10.2172/2431615 Publication ID: 129544
  • Patel, L. (2023). Spatial-Temporal Modeling for Nanoscale Resolvement of Photo-Switching Fluorophores [Conference Presenation]. https://doi.org/10.2172/2431611 Publication ID: 129528
  • 2022
  • Patel, L., Shand, L., & Shand, L. (2022). Toward data assimilation of ship-induced aerosol-cloud interactions. Environmental Data Science, 1. https://doi.org/10.1017/eds.2022.21 Publication ID: 123900
  • Patel, L., Jacobs, P., & Jacobs, P. (2022). Towards dynamic quantile function models for anomaly detection [Conference Presenation]. https://doi.org/10.2172/2005615 Publication ID: 119600
  • Pattyn, C.A., Bachman, W.B., Torchinsky, J., Warburton, P., Schmidt, M.J., Bosler, P.A., Glen, A., Sanchez, A.L., Westlake, K., Bentz, B.Z., Bachman, W.B., Shand, L., Patel, L., Wright, J.B., & Wright, J.B. (2022). Optical Characterization of Atmospheric Aerosols in a Tabletop Chamber [Conference Presenation]. https://doi.org/10.2172/2005340 Publication ID: 118808
  • Bachman, W.B., Pattyn, C.A., Patel, L., Torchinsky, J., Schmidt, M.J., Sanchez, A.L., Bentz, B.Z., Wright, J.B., & Wright, J.B. (2022). Developing and Characterizing an Inexpensive Tabletop Cloud Chamber [Conference Presenation]. https://doi.org/10.2172/2005331 Publication ID: 118772
  • Hopwood, M.W., Patel, L., Gunda, T., & Gunda, T. (2022). Classification of Photovoltaic Failures with Hidden Markov Modeling, an Unsupervised Statistical Approach. Energies, 15(14). https://doi.org/10.3390/en15145104 Publication ID: 80937
  • Patel, L., McGeehan, D., Huerta, G., Shakamuri, M., Palaviccini, M., Christensen, F., & Christensen, F. (2022). SEQUANA: SEQUential ANomaly Analysis [Presentation]. https://www.osti.gov/biblio/2003655 Publication ID: 113924
  • Patel, L., Shand, L., & Shand, L. (2022). Towards data assimilation of ship induced aerosol-cloud interactions [Conference Presenation]. https://doi.org/10.2172/2003178 Publication ID: 112116
  • Pattyn, C.A., Bachman, W.B., Deneke, E., Patel, L., Redman, B.J., Bachman, W.B., Hastings, R.L., Alexander, D.W., Webb, K.J., Glen, A., Sanchez, A.L., Westlake, K., Bentz, B.Z., Wright, J.B., & Wright, J.B. (2022). Development and Characterization of a Tabletop Fog Chamber at Sandia National Laboratories [Conference Presenation]. https://doi.org/10.2172/2002214 Publication ID: 109820
  • Pattyn, C.A., Bachman, W.B., Deneke, E., Patel, L., Redman, B.J., Bachman, W.B., Hastings, R.L., Alexander, D.W., Webb, K.J., Glen, A., Sanchez, A.L., Westlake, K., Bentz, B.Z., Wright, J.B., & Wright, J.B. (2022). Development and Characterization of a Tabletop Fog Chamber at Sandia National Laboratories [Conference Paper]. https://doi.org/10.1117/12.2618838 Publication ID: 109604
  • 2021
  • Shand, L., Bachman, W.B., Staid, A., Roesler, E.L., Lyons, D., Simonson, K.M., Patel, L., Hickey, J., Gray, S., & Gray, S. (2021). Local limits of detection for anthropogenic aerosol-cloud interactions. https://doi.org/10.2172/1855009 Publication ID: 75923
  • Hopwood, M.W., Patel, L., Gunda, T., & Gunda, T. (2021). Probabilistic detection of high-dimension failures in complex systems: A case study of photovoltaics [Conference Presenation]. https://doi.org/10.2172/1886187 Publication ID: 75469
  • Patel, L. (2021). A hidden Markov model approach to understanding molecular characteristics in fluorescence microscopy [Presentation]. https://www.osti.gov/biblio/1855711 Publication ID: 77605
  • 2020
  • Patel, L. (2020). Cloud-aerosol track modeling and analysis [Conference Presenation]. https://doi.org/10.2172/1834678 Publication ID: 72049
  • Patel, L., Shand, L., & Shand, L. (2020). Simulating cloud-aerosol interactions made by ship emissions [Conference Proceeding]. https://www.osti.gov/biblio/1824931 Publication ID: 71141
  • Patel, L., Shand, L., Tucker, J.D., Huerta, J.G., & Huerta, J.G. (2020). Assessing Extreme Value Analysis to predict rare events from the Global Terrorism Database [Conference Proceeding]. https://www.osti.gov/biblio/1825584 Publication ID: 71177
  • Patel, L., Shand, L., & Shand, L. (2020). Stochastic simulation of cloud-aerosol tracks [Conference Poster]. https://www.osti.gov/biblio/2002910 Publication ID: 111132
  • Patel, L., Huerta, J.G., Shand, L., Miller, W.K., Tucker, J.D., & Tucker, J.D. (2020). Assessing Extreme Value Analysis to predict rare events from the Global Terrorism Database [Conference Poster]. https://www.osti.gov/biblio/1811818 Publication ID: 74294
  • Shand, L., Patel, L., & Patel, L. (2020). Simulating cloud-aerosol interactions made by ship emissions [Conference Poster]. https://www.osti.gov/biblio/1811613 Publication ID: 74253
  • Patel, L., Huerta, J.G., Shand, L., Miller, W.K., Tucker, J.D., & Tucker, J.D. (2020). Assessing Extreme Value Analysis to predict rare events from the Global Terrorism Database [Conference Poster]. https://www.osti.gov/biblio/1783652 Publication ID: 73529
Showing 10 of 24 publications.