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Publications

  • Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems
  • Numerical Methods
  • Optimal Mean Reversion Trading cover
  • Chemical Biophysics: Quantitative Analysis of Cellular Systems
  • Elements of Mathematical Ecology
  • Finite Volume Methods for Hyperbolic Problems
Author/Title Research Type Related Fields
Yang, Y.-J & Qian, H. (2020) Unified formalism for entropy production and fluctuation relations. Phys. Rev. E 101 , 022129. Publications, Articles Biophysics, Dynamical Systems, Mathematical Biology, Mathematical Physics, Probability, Stochastic Modeling
Liu, Y.H., Grigorovsky, V., and Bardakjian, B., “Excitation and Inhibition Balance Underlying Epileptiform Activity,” IEEE Transaction on Biomedical Engineering, 2020.  Publications, Articles Dynamical Systems, Mathematical Neuroscience
Jacobs, D., Liu, Y.H., Hilton, T., del Campo, M., Carlen, P.L., and Bardakjian, B.L., “Classification of Scalp EEG States Prior to Clinical Seizure Onset,” IEEE Journal of Translational Engineering in Health and Medicine, 2019.  Publications, Articles Data Science, Engineering, Machine Learning
 Maass, K., Kim, M., & Aravkin, A. (2019) A nonconvex optimization approach to IMRT planning with dose-volume constraints. arXiv preprint arXiv:1907.10712.  Publications, Articles Applied Mathematics, Cancer Modeling, Inverse Problems, Optimization and Variational Analysis
Maass, K., & Kim, M. (2019). A Markov decision process approach to optimizing cancer therapy using multiple modalities. Mathematical Medicine and Biology: A Journal of the IMA. doi:10.1093/imammb/dqz004. Publications, Articles Applied Mathematics, Cancer Modeling, Optimization and Variational Analysis
Chen, X. and K. K. Tung: "Global surface warming enhanced by weak Atlantic overturning circulation", Nature, 559, 387-391, July 2018. Publications, Articles Atmospheric Sciences, Climate Modeling, Geophysics
Liu, Hexuan, Jimin Kim, and Eli Shlizerman. "Functional connectomics from neural dynamics: probabilistic graphical models for neuronal network of Caenorhabditis elegans." Philosophical Transactions of the Royal Society B: Biological Sciences 373.1758 (2018): 20170377. Publications, Articles Mathematical Neuroscience
D. Rim, S. Moe, and R. J. LeVeque, Transport Reversal for Model Reduction of Hyperbolic Partial Differential Equations, SIAM/ASA Journal on Uncertainty Quantification 6(2018), pp. 118-150. doi:10.1137/17M1113679 Publications, Articles Applied Mathematics, Computational Methods, Numerical Analysis, Reduced-Order Models, Scientific Computing
Liu, Y., Khisti, A., and Mahajan, A., “On privacy in smart metering systems with periodically time-varying input distribution,” Proceedings of IEEE Global Conference on Signal and Information Processing, Nov. 14-16, 2017.  Publications, Articles Engineering, Statistics, Stochastic Modeling
Liu, Y.H., Lee, S-H., and Khisti, A., “Information-theoretic privacy in smart metering systems using cascaded rechargeable batteries,” IEEE Signal Processing Letters, 2017.  Publications, Articles Engineering, Statistics, Stochastic Modeling
Hong Qian. (2017) Mathematical Kinetic Models: Applications in Biophysics and Biochemistry. Peking University Press.  Publications, Books Biochemistry, Biophysics
Barker, Blake, Rose Nguyen, Bjorn Sandstede, Nathaniel Ventura, and Colin Wahl. "Computing Evans functions numerically via boundary-value problems." Physica D: Nonlinear Phenomena. Accepted Dec 2017. Publications, Articles Computational Methods, Dynamical Systems, Mathematical Methods, Nonlinear Waves and Coherent Structures, Partial Differential Equations
J. Nathan Kutz, Steven L. Brunton, Bingni W. Brunton, and Joshua Proctor (2016). Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems. SIAM. Publications, Books Dynamical Systems
Tim Leung and Marco Santoli (2016). Leveraged Exchange-Traded Funds: Price Dynamics and Options Valuation, Springer Briefs in Quantitative Finance, Springer, New York. Publications, Books Data Science, Financial Mathematics, Optimization and Variational Analysis, Probability, Statistics, Stochastic Modeling
Tim Leung and Xin Li.  (2016). Optimal Mean Reversion Trading: Mathematical Analysis and Practical Applications. (1st ed.) Singapore, World Scientific Publishing Company. Publications, Books Financial Mathematics, Optimization and Variational Analysis, Probability, Risk Management, Stochastic Modeling
Tim Leung and Xin Li (2015). Optimal mean reversion trading with transaction costs and stop-loss exit, International Journal of Theoretical and Applied Finance 18 (03), 1550020 Publications, Articles Financial Mathematics, Probability, Risk Management, Stochastic Modeling
Liu, Benjamin R., and Elizabeth M. Cherry. "Image-based structural modeling of the cardiac Purkinje network." BioMed research international 2015 (2015). Publications, Articles, Graduate, Graduate Publications Mathematical Biology, Mathematical Methods
Phillips, Austin and Kot, Mark. (2015). Persistence in a two-dimensional moving-habitat model. Bulletin of Mathematical Biology, 77, 2125-2159. Publications, Articles Climate Modeling, Mathematical Biology
Chen, X. and K. K. Tung: "Varying planetary heat sink led to global-warming slowdown and acceleration", Science, 345, 897 (2014) Publications, Articles Atmospheric Sciences, Climate Modeling, Geophysics
Mark Kot. (2014) A First Course in the Calculus of Variations. American Mathematical Society.  Publications, Books Applied Mathematics
Tung, K. K. and J. Zhou:"Using data to attribute episodes of warming and cooling in instrumental records", Proceedings of National Academy of Sciences, 110, 2058-2063, (2013). Publications, Articles Atmospheric Sciences, Climate Modeling, Geophysics
J. Nathan Kutz. (2013) Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data. Oxford University Press.  Publications, Books Data Science
Anne Greenbaum and Timothy P. Chartier. (2012) Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms. Princeton University Press. Publications, Books Computational Methods, Numerical Analysis
Hong Qian and Daniel Beard. (2008) Chemical Biophysics: Quantitative Analysis of Cellular Systems. Cambridge University Press.  Publications, Books Biophysics
Ka-Kit Tung. (2007) Topics in Mathematical Modeling. Princeton University Press Publications, Books Applied Mathematics

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