Mean Field Control with Partial Information
Project: Research
Research Output
- 2022
- Published
Inter-temporal mutual-fund management
Bensoussan, A., Cheung, K. C., Li, Y. & Yam, S. C. P., Jul 2022, In: Mathematical Finance. 32, 3, p. 825-877Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 1 - Published
Dynamic mean-variance problem with frictions
Bensoussan, A., Ma, G., Siu, C. C. & Yam, S. C. P., Apr 2022, In: Finance and Stochastics. 26, 2, p. 267–300Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 9 - Published
A Risk Extended Version of Merton's Optimal Consumption and Portfolio Selection
Bensoussan, A., Hoe, S., Kim, J. & Yan, Z., Mar 2022, In: Operations Research. 70, 2, p. 815-829Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 3 - Published
Machine learning and control theory
Bensoussan, A., Li, Y., Nguyen, D. P. C., Tran, M.-B., Yam, S. C. P. & Zhou, X., 2022, Handbook of Numerical Analysis. Trélat, E. & Zuazua, E. (eds.). Elsevier B.V., Vol. 23. p. 531-558Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author) › peer-review
Scopus citations: 9 - 2021
- Published
Mathematical formulation of a dynamical system with dry friction subjected to external forces
Bensoussan, A., Brouste, A., Cartiaux, F. B., Mathey, C. & Mertz, L., Jul 2021, In: Physica D: Nonlinear Phenomena. 421, 132859.Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 3 - Published
Identification of Linear Dynamical Systems and Machine Learning
Bensoussan, A., Gelir, F., Ramakrishna, V. & Tran, M.-B., May 2021, In: Journal of Convex Analysis. 28, 2, p. 311-328 08886.Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 1 - Published
Systems of quasilinear parabolic equations in ℝn and systems of quadratic backward stochastic differential equations
Bensoussan, A., Frehse, J. & Yam, S. C. P., May 2021, In: Journal des Mathematiques Pures et Appliquees. 149, p. 135-185Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
- Published
Linear-quadratic-gaussian mean-field-game with partial observation and common noise
Bensoussan, A., Feng, X. & Huang, J., Mar 2021, In: Mathematical Control and Related Fields. 11, 1, p. 23-46Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 16 - 2020
- Published
Capital Accumulation with Constraint: A Mean Field Type Control Framework
Bensoussan, A., (Celine) Hoe, S. & Yan, Z., 2020, In: Markov Processes and Related Fields. 26, 4, p. 553-566Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
- 2019
- Published
Control problem on space of random variables and master equation
BENSOUSSAN, A. & YAM, S. C. P., 2019, In: ESAIM - Control, Optimisation and Calculus of Variations. 25, 10.Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 20 FEEDBACK STACKELBERG–NASH EQUILIBRIA IN MIXED LEADERSHIP GAMES WITH AN APPLICATION TO COOPERATIVE ADVERTISING
BENSOUSSAN, A., CHEN, S., CHUTANI, A., SETHI, S. P., SIU, C. C. & YAM, S. C. P., 2019, In: SIAM Journal on Control and Optimization. 57, 5, p. 3413-3444Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 24- 2018
- Published
Bellman Systems with Mean Field Dependent Dynamics
BENSOUSSAN, A., BULÍČEK, M. & FREHSE, J., May 2018, In: Chinese Annals of Mathematics. Series B. 39, 3, p. 461-486Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
- Published
Backward stochastic dynamics with a subdifferential operator and non-local parabolic variational inequalities
Bensoussan, A., Li, Y. & Yam, S. C. P., Feb 2018, In: Stochastic Processes and their Applications. 128, 2, p. 644-688Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 5 - Published
Parabolic bellman equations with risk control
BENSOUSSAN, A., BREIT, D. & FREHSE, J., 2018, In: SIAM Journal on Control and Optimization. 56, 2, p. 1535-1549Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
- 2017
- Published
On the interpretation of the Master Equation
Bensoussan, A., Frehse, J. & Yam, S. C. P., Jul 2017, In: Stochastic Processes and their Applications. 127, 7, p. 2093-2137Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 56 - Published
Linear-Quadratic Mean Field Stackelberg Games WIth State and Control Delays
BENSOUSSAN, A., CHAU, M. H. M., LAI, Y. & YAM, S. C. P., 2017, In: SIAM Journal on Control and Optimization. 55, 4, p. 2748-2781Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 32 - 2016
Mean-Field-Game Model for Botnet Defense in Cyber-Security
Kolokoltsov, V. N. & Bensoussan, A., Dec 2016, In: Applied Mathematics and Optimization. 74, 3, p. 669-692Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Scopus citations: 42