activity
20052021
most citedChoquet expectation and Peng's g-expectation

67 citations · 68 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.OC2021

Risk-sensitive Markov decision problems under model uncertainty: finite time horizon case

Tomasz R. Bielecki, Tao Chen, Igor Cialenco

In this paper we study a class of risk-sensitive Markovian control problems in discrete time subject to model uncertainty. We consider a risk-sensitive discounted cost criterion wi…

math.OC2020

Nonparametric Adaptive Bayesian Stochastic Control Under Model Uncertainty

Tao Chen, Jiyoun Myung

In this paper we propose a new methodology for solving a discrete time stochastic Markovian control problem under model uncertainty. By utilizing the Dirichlet process, we model th…

math.OC2020

Time-inconsistent Markovian control problems under model uncertainty with application to the mean-variance portfolio selection

Tomasz R. Bielecki, Tao Chen, Igor Cialenco

In this paper we study a class of time-inconsistent terminal Markovian control problems in discrete time subject to model uncertainty. We combine the concept of the sub-game perfec…

math.OC2019★ 1 cited

A Machine Learning Approach to Adaptive Robust Utility Maximization and Hedging

Tao Chen, Michael Ludkovski

We investigate the adaptive robust control framework for portfolio optimization and loss-based hedging under drift and volatility uncertainty. Adaptive robust problems offer many a…

math.OC2017

Adaptive Robust Control Under Model Uncertainty

Tomasz R. Bielecki, Tao Chen, Igor Cialenco +2

In this paper we propose a new methodology for solving an uncertain stochastic Markovian control problem in discrete time. We call the proposed methodology the adaptive robust cont…