publications & patents

refereed journal & conference publications

• Chufan Gao, Sanjit Singh Batra, Alexander Russell Pelletier, Gregory D. Lyng, Eran Halperin, Robert E. Tillman, BioSynNER: Synthetic Data Generation for Biomedical Named Entity Recognition, AAAI Workshop on Large Language Models and Generative AI for Health, Philadelphia, PA: March 2025.

• Elena Engel, Andrew Hill, Ann Granchelli, Gabriel Lockhart, Gregory Lyng, Leanne Kaye, Helena Lyson, Russell P. Bowler, Wearable Sensors for Early Detection of COPD Exacerbations, CHEST 2023: Annual Meeting of the American College of Chest Physicians, Honolulu, HI: October 2023.

• Kailas Vodrahalli, Gregory D. Lyng, Brian Hill, Kimmo Karkkainnen, Jeffrey Hertzberg, James Zou, & Eran Halperin, Understanding and predicting the effect of environmental factors on people with Type 2 Diabetes, In: Proceedings of the Conference on Health, Inference, & Learning, PMLR 209 (2023): 545–555.

• Kimmo Karkkainnen, Gregory D. Lyng, Brian Hill, Kailas Vodrahalli, Jeffrey Hertzberg, & Eran Halperin, Sleep and activity prediction from continuous glucose monitoring data, NeurIPS 2022 Workshop on Learning from Time Series for Health. 2022.

• Elena Engel, Andrew Hill, Gabriel Lockhart, Ayal Levi, Gregory Lyng, Leanne Kaye, Russell P. Bowler, Wearable Sensors for Early Detection of COPD Exacerbations, American Thoracic Society International Conference, San Francisco, CA: May 2022.

• Gregory D. Lyng, Natalie E. Sheils, Caleb J. Kennedy, Daniel O. Griffin, Ethan M. Berke, Identifying optimal COVID-19 testing strategies for schools and businesses: Balancing testing frequency, individual test technology, and cost, PLoS One, 16 (2021): e0248783, 13pp.

• Mathew A. Johnson, Gregory D. Lyng, & Connor Smith, On the dynamics of traveling fronts arising in nanoscale pattern formation, Physica D, 401 (2020): 132184, 16 pp.

• Blake Barker, Jeffrey Humpherys, Gregory Lyng, & Kevin Zumbrun, Euler vs Lagrange: The role of coordinates in practical Evans-function computation, SIAM Journal on Applied Dynamical Systems, 17 (2018): 1766–1785.

• Blake Barker, Jeffrey Humpherys, Gregory Lyng, & Joshua Lytle, Computational Evans function techniques for the stability of travelling waves, Philosophical Transactions of the Royal Society A, 376 (2018): 20170184, 25 pp.

• Blake Barker, Jeffrey Humpherys, Gregory Lyng, & Kevin Zumbrun, Balanced flux formulations for multidimensional Evans-function computations for viscous shocks, Quarterly of Applied Mathematics, 76 (2018): 531–545.

• Jeffrey Humpherys, Gregory Lyng, & Kevin Zumbrun, Multidimensional stability of large-amplitude Navier–Stokes shocks, Archive for Rational Mechanics and Analysis, 226 (2017): 923–973.

• Gregory Lyng, Spectral and nonlinear stability of viscous strong and weak detonation waves in Majda’s qualitative model. Proceedings of the 25th International Colloquium on the Dynamics of Explosions and Reactive Systems, 6 pages, 2015.

• Jeffrey Hendricks, Jeffrey Humpherys, Gregory Lyng, & Kevin Zumbrun. Stability of viscous weak detonation waves for Majda’s model, Journal of Dynamics and Differential Equations, 27 (2015): 237–260.

• Blake Barker, Jeffrey Humpherys, Gregory Lyng, & Kevin Zumbrun, Viscous hyperstabilization of detonation waves in one space dimension, SIAM Journal on Applied Mathematics, 75 (2015): 885–906.

• Gregory Lyng, Semiclassical soliton ensembles for the focusing nonlinear Schroedinger equation: Recent developments. in ``Nonlinear Wave Equations: Analytic and Computational Techniques,’’ 91–108, Contemporary Mathematics, 635, American Mathematical Society, Providence, RI, 2015.

• Nicholas Anderson, Allison Lindgren, & Gregory Lyng, Computing the refined stability condition. Quarterly of Applied Mathematics, 73 (2015): 1–21.

• Yeongjoh Kim, Long Lee, & Gregory Lyng, The Wentzel–Kramers–Brillouin approximation of semiclassical eigenvalues of the Zakharov–Shabat problem. Journal of Mathematical Physics, 55 (2014): 083516, 18 pp.

• Jeffrey Humpherys, Gregory Lyng, & Kevin Zumbrun, Stability of viscous detonation waves for Majda’s model. Physica D, 259 (2013): 63–80.

• Long Lee & Gregory Lyng, A second look at the Gaussian semiclassical soliton ensemble for the focusing nonlinear Schroedinger equation. Physics Letters A, 377 (2013): 1179–1188.

• Long Lee, Gregory Lyng, & Irena Vankova, The Gaussian semiclassical soliton ensemble and numerical methods for the focusing nonlinear Schroedinger equation. Physica D, 241 (2012): 1767–1781.

• Jeffrey Humpherys, Gregory Lyng, & Kevin Zumbrun, Spectral stability of ideal-gas shock layers. Archive for Rational Mechanics and Analysis, 194 (2009): 1029–1079.

• Gregory Lyng, Mohammadreza Raoofi, Benjamin Texier, & Kevin Zumbrun, Pointwise Green function bounds and the stability of combustion waves. Journal of Differential Equations, 233 (2007): 654–698.

• Nicola Costanzino, H. Kristian Jenssen, Gregory Lyng, & Mark Williams, Existence and stability of curved multidimensional detonation fronts. Indiana University Mathematics Journal, 56 (2007): 1405–1462.

• Gregory Lyng & Peter D. Miller, The N-soliton of the focusing nonlinear Schroedinger equation for N large. Communications on Pure and Applied Mathematics, 60 (2007): 951–1026.

• Gregory Lyng, Kevin Zumbrun, & H. Kristian Jenssen, Stability of detonation waves, EQUADIFF 2003, 517–519 World Sci. Publ., Hackensack, New Jersey, 2005.

• H. Kristian Jenssen, Gregory Lyng, & Mark Williams, Equivalence of low-frequency stability conditions for multidimensional detonations in three models of combustion. Indiana University Mathematics Journal, 54 (2005): 1–64.

• H. Kristian Jenssen, Gregory Lyng, & Mark Williams, Low frequency stability of planar multi-D detonations, Oberwolfach Reports, Volume 1, Issue 2, 2004, report No. 18/2004, 927–928.

• H. Kristian Jenssen & Gregory Lyng, Evaluation of the Lopatinski condition for gas dynamics, appendix to K. Zumbrun, Stability of large-amplitude shock waves of compressible Navier–Stokes equations, Handbook of Mathematical Fluid Dynamics III, S. Friedlander & D. Serre eds., North-Holland, Amsterdam, 2004.

• Gregory Lyng & Kevin Zumbrun, One-dimensional stability of viscous strong detonation waves. Archive for Rational Mechanics and Analysis, 173 (2004): 213–277.

• Gregory Lyng & Kevin Zumbrun, A stability index for detonation waves in Majda’s model for reacting flow. Physica D, 194 (2004): 1–29.

patents

Issued

• Dynamically parameterized machine learning frameworks, I Bulu, GD Lyng. US Patent 12,456,059 (Oct. 28, 2025)

published

• Systems and methods for intelligent model training using relevant data objects, G Austin, J Venkataraman, F Mohaghegh, HR Hassanzadeh, JD Stremmel, A Saeedi, GD Lyng, E Halperin, ZM Poornaki, US Patent App. 18/428,206 (2025)

• Optimizing embedding using dimension attention for contrastive learning, BL Hill, E Halperin, GD Lyng, KM Karkkainen. US Patent App. 18/541,777 (2025)

• Application of personalized sensor-based risk profiles for impacts of external events, GD Lyng, BL Hill, J Zou, KM Karkkainen, K Vodrahalli, E Halperin. US Patent App. 18/211,988 (2024)

• Machine learning techniques for generating cross-temporal search result prediction, C Unsal, GD Lyng, I Bulu. US Patent App. 17/938,575 (2024)

• Processing different timescale data utilizing a model, GD Lyng, E Halperin, BL Hill, KM Karkkainen, K Vodrahalli. US Patent App. 18/325,598 (2024)

• Individualized classification thresholds for machine learning models, DRC Dahlem, GD Lyng, CA Hane, E Halperin. US Patent App. 18/172,519 (2024)

• Individualized classification thresholds for machine learning models, DRC Dahlem, GD Lyng, CA Hane, E Halperin. US Patent App. 18/172,521 (2024)

working papers, reports, preprints

• Natalie E. Sheils, Gregory D. Lyng, & Ethan M. Berke, Updating herd immunity models for the U.S. in 2020: Implications for the COVID-19 response, preprint, 20 pages, 2020.
  • Preprint: medRxiv 2020.10.05.20207100
  • Press: Georgiou, A. (October 9, 2020). Newsweek
• UnitedHealth Group Research & Development, Focus Area Report (Confidential), 75 pages, 2019.
  • Lead author: Focus Area Reports were used internally by UHG and UHG R&D to stand up research initiatives and to shape and inform investment decision-making. These reports present a panoramic view of a critical healthcare domain from a scientific point of view that incorporates clinical and business perspectives.
• Yi-Hung Kuo, Long Lee, & Gregory Lyng, Analysis and development of compact finite difference schemes with optimized numerical dispersion relations, preprint, 43 pages, 2014.
  • Preprint: arXiv:1409.3535

course notes and other materials

• Coming soon(-ish).