| Liu, Y.H., Smith, S., Mihalas S., Shea-Brown E., Sumbul U., “Biologically-plausible backpropagation through arbitrary timespans via local neuromodulators”, Advances in Neural Information Processing Systems, 2022. |
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Applied Mathematics, Computer Science, Machine Learning, Mathematical Neuroscience |
| 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. |
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Applied Mathematics, Cancer Modeling, Optimization and Variational Analysis |
| Maass, K., Aravkin, A., & Kim, M. (2021). A feasibility study of a hyperparameter tuning approach to automated inverse planning in radiotherapy. arXiv preprint arXiv: arXiv:2105.07024. |
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Applied Mathematics, Cancer Modeling, Machine Learning, Optimization and Variational Analysis |
| Mark Kot. (2001) Elements of Mathematical Ecology. Cambridge University Press. |
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Applied Mathematics, Mathematical Ecology |
| Mark Kot. (2014) A First Course in the Calculus of Variations. American Mathematical Society. |
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Applied Mathematics |
| Randall LeVeque, D. Mihalas, E. Dorfi, E. Mueller. (1998) Computational Methods for Astrophysical Fluid Flow. Springer-Verlag. |
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Applied Mathematics, Computational Methods |
| Randall LeVeque. (1990) Numerical Methods for Conservation Laws. Birkhauser-Verlag Basel. |
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Applied Mathematics |
| Randall LeVeque. (2002) Finite Volume Methods for Hyperbolic Problems. Cambridge University Press. |
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Applied Mathematics, Mathematical Methods |
| Randall LeVeque. (2007) Finite Difference Methods for Ordinary and Partial Differential Equations. SIAM. |
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Applied Mathematics, Mathematical Methods, Partial Differential Equations |
| Tim Leung and Marco Santoli (2016). Leveraged Exchange-Traded Funds: Price Dynamics and Options Valuation, Springer Briefs in Quantitative Finance, Springer, New York. |
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Data Science, Financial Mathematics, Optimization and Variational Analysis, Probability, Statistics, 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 |
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Financial Mathematics, Probability, Risk Management, 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. (2021) Employee Stock Options, Exercise Timing, Hedging, and Valuation. World Scientific |
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Financial Mathematics, Risk Management, Stochastic Modeling |
| 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). |
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Atmospheric Sciences, Climate Modeling, Geophysics |
| Yang, Y.-J. & Qian, H. Unified formalism for entropy production and fluctuation relations. Phys. Rev. E 101 , 022129 (2020) |
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Biophysics, Dynamical Systems, Mathematical Biology, Mathematical Physics, Probability, Stochastic Modeling |
| Yang, Y.-J. and Cheng, Y.-C., "Potentials of continuous Markov processes and random perturbations" J. Phys. A: Math. Theor. 54 195001 (2021) |
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Dynamical Systems, Mathematical Physics, Probability, Stochastic Modeling |
