Search Results - "Pham, Huyên"
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1
Robust Markowitz mean‐variance portfolio selection under ambiguous covariance matrix
Published in Mathematical finance (01-01-2019)“…This paper studies a robust continuous‐time Markowitz portfolio selection problem where the model uncertainty affects the covariance matrix of multiple risky…”
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2
Randomized dynamic programming principle and Feynman-Kac representation for optimal control of McKean-Vlasov dynamics
Published in Transactions of the American Mathematical Society (01-03-2018)“…We analyze a stochastic optimal control problem, where the state process follows a McKean-Vlasov dynamics and the diffusion coefficient can be degenerate. We…”
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3
Linear-quadratic control for a class of stochastic Volterra equations: Solvability and approximation
Published in The Annals of applied probability (01-10-2021)“…We provide an exhaustive treatment of linear-quadratic control problems for a class of stochastic Volterra equations of convolution type, whose kernels are…”
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4
Deep Neural Networks Algorithms for Stochastic Control Problems on Finite Horizon: Numerical Applications
Published in Methodology and computing in applied probability (01-03-2022)“…This paper presents several numerical applications of deep learning-based algorithms for discrete-time stochastic control problems in finite time horizon that…”
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5
Mean-field Markov decision processes with common noise and open-loop controls
Published in The Annals of applied probability (01-04-2022)“…We develop an exhaustive study of Markov decision process (MDP) under mean field interaction both on states and actions in the presence of common noise, and…”
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6
Optimal consumption with reference to past spending maximum
Published in Finance and stochastics (01-04-2022)“…This paper studies the infinite-horizon optimal consumption problem with a path-dependent reference under exponential utility. The performance is measured by…”
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7
BACKWARD SDES FOR OPTIMAL CONTROL OF PARTIALLY OBSERVED PATH-DEPENDENT STOCHASTIC SYSTEMS: A CONTROL RANDOMIZATION APPROACH
Published in The Annals of applied probability (01-06-2018)“…We introduce a suitable backward stochastic differential equation (BSDE) to represent the value of an optimal control problem with partial observation for a…”
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8
A McKean–Vlasov approach to distributed electricity generation development
Published in Mathematical methods of operations research (Heidelberg, Germany) (01-04-2020)“…This paper analyses the interaction between centralised carbon emissive technologies and distributed intermittent non-emissive technologies. In our model,…”
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9
Regime-switching stochastic volatility model: estimation and calibration to VIX options
Published in Applied mathematical finance. (02-01-2017)“…We develop and implement a method for maximum likelihood estimation of a regime-switching stochastic volatility model. Our model uses a continuous time…”
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10
Long time asymptotics for fully nonlinear Bellman equations: A backward SDE approach
Published in Stochastic processes and their applications (01-07-2016)“…We study the large time behavior of solutions to fully nonlinear parabolic equations of Hamilton–Jacobi–Bellman type arising typically in stochastic control…”
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11
DISCRETE TIME APPROXIMATION OF FULLY NONLINEAR HJB EQUATIONS VIA BSDES WITH NONPOSITIVE JUMPS
Published in The Annals of applied probability (01-08-2015)“…We propose a new probabilistic numerical scheme for fully nonlinear equation of Hamilton–Jacobi–Bellman (HJB) type associated to stochastic control problem,…”
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12
Mean-Variance Portfolio Selection with Tracking Error Penalization
Published in Mathematics (Basel) (01-11-2020)“…This paper studies a variation of the continuous-time mean-variance portfolio selection where a tracking-error penalization is added to the mean-variance…”
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13
RANDOMIZED AND BACKWARD SDE REPRESENTATION FOR OPTIMAL CONTROL OF NON-MARKOVIAN SDES
Published in The Annals of applied probability (01-08-2015)“…We study optimal stochastic control problems for non-Markovian stochastic differential equations (SDEs) where the drift, diffusion coefficients and gain…”
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14
OPTIMAL INVESTMENT UNDER MULTIPLE DEFAULTS RISK: A BSDE-DECOMPOSITION APPROACH
Published in The Annals of applied probability (01-04-2013)“…We study an optimal investment problem under contagion risk in a financial model subject to multiple jumps and defaults. The global market information is…”
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15
Dealing with drift uncertainty: A Bayesian learning approach
Published in Risks (Basel) (01-01-2019)“…One of the main challenges investors have to face is model uncertainty. Typically, the dynamic of the assets is modeled using two parameters: the drift vector…”
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16
Reflected BSDEs with nonpositive jumps, and controller-and-stopper games
Published in Stochastic processes and their applications (01-02-2015)“…We study a class of reflected backward stochastic differential equations with nonpositive jumps and upper barrier. Existence and uniqueness of a minimal…”
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17
Representation of non-Markovian optimal stopping problems by constrained BSDEs with a single jump
Published in Electronic communications in probability (01-01-2016)Get full text
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18
A model of optimal portfolio selection under liquidity risk and price impact
Published in Finance and stochastics (01-01-2007)“…We study a financial model with one risk-free and one risky asset subject to liquidity risk and price impact. In this market, an investor may transfer funds…”
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19
Linear quadratic optimal control of conditional McKean-Vlasov equation with random coefficients and applications
Published in Probability, uncertainty and quantitative risk (01-12-2016)“…We consider the optimal control problem for a linear conditional McKean-Vlasov equation with quadratic cost functional. The coefficients of the system and the…”
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20
Mean-field neural networks: Learning mappings on Wasserstein space
Published in Neural networks (01-11-2023)“…We study the machine learning task for models with operators mapping between the Wasserstein space of probability measures and a space of functions, like e.g…”
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