Search Results for author: Xun Yu Zhou

Found 17 papers, 0 papers with code

Learning Merton's Strategies in an Incomplete Market: Recursive Entropy Regularization and Biased Gaussian Exploration

no code implementations19 Dec 2023 Min Dai, Yuchao Dong, Yanwei Jia, Xun Yu Zhou

We study Merton's expected utility maximization problem in an incomplete market, characterized by a factor process in addition to the stock price process, where all the model primitives are unknown.

Reinforcement Learning (RL)

Robust utility maximization with intractable claims

no code implementations14 Apr 2023 Yunhong Li, Zuo Quan Xu, Xun Yu Zhou

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market.

Variable Clustering via Distributionally Robust Nodewise Regression

no code implementations15 Dec 2022 Kaizheng Wang, Xiao Xu, Xun Yu Zhou

We study a multi-factor block model for variable clustering and connect it to the regularized subspace clustering by formulating a distributionally robust version of the nodewise regression.

Clustering regression

Naive Markowitz Policies

no code implementations14 Dec 2022 Lin Chen, Xun Yu Zhou

We study a continuous-time Markowitz mean-variance portfolio selection model in which a naive agent, unaware of the underlying time-inconsistency, continuously reoptimizes over time.

Square-root regret bounds for continuous-time episodic Markov decision processes

no code implementations3 Oct 2022 Xuefeng Gao, Xun Yu Zhou

We study reinforcement learning for continuous-time Markov decision processes (MDPs) in the finite-horizon episodic setting.

reinforcement-learning Reinforcement Learning (RL)

Choquet regularization for reinforcement learning

no code implementations17 Aug 2022 Xia Han, Ruodu Wang, Xun Yu Zhou

We propose \emph{Choquet regularizers} to measure and manage the level of exploration for reinforcement learning (RL), and reformulate the continuous-time entropy-regularized RL problem of Wang et al. (2020, JMLR, 21(198)) in which we replace the differential entropy used for regularization with a Choquet regularizer.

reinforcement-learning Reinforcement Learning (RL)

q-Learning in Continuous Time

no code implementations2 Jul 2022 Yanwei Jia, Xun Yu Zhou

We study the continuous-time counterpart of Q-learning for reinforcement learning (RL) under the entropy-regularized, exploratory diffusion process formulation introduced by Wang et al. (2020).

Learning Theory Q-Learning +1

Logarithmic regret bounds for continuous-time average-reward Markov decision processes

no code implementations23 May 2022 Xuefeng Gao, Xun Yu Zhou

We consider reinforcement learning for continuous-time Markov decision processes (MDPs) in the infinite-horizon, average-reward setting.

Point Processes reinforcement-learning +1

Policy Gradient and Actor-Critic Learning in Continuous Time and Space: Theory and Algorithms

no code implementations22 Nov 2021 Yanwei Jia, Xun Yu Zhou

This effectively turns PG into a policy evaluation (PE) problem, enabling us to apply the martingale approach recently developed by Jia and Zhou (2021) for PE to solve our PG problem.

Policy Evaluation and Temporal-Difference Learning in Continuous Time and Space: A Martingale Approach

no code implementations15 Aug 2021 Yanwei Jia, Xun Yu Zhou

From this perspective, we find that the mean--square TD error approximates the quadratic variation of the martingale and thus is not a suitable objective for PE.

Asset Selection via Correlation Blockmodel Clustering

no code implementations26 Mar 2021 Wenpin Tang, Xiao Xu, Xun Yu Zhou

Finally, we conduct an empirical analysis to verify the performance of the algorithm.

Clustering

When to Quit Gambling, if You Must!

no code implementations5 Feb 2021 Sang Hu, Jan Obloj, Xun Yu Zhou

We develop an approach to solve Barberis (2012)'s casino gambling model in which a gambler whose preferences are specified by the cumulative prospect theory (CPT) must decide when to stop gambling by a prescribed deadline.

Simulated annealing from continuum to discretization: a convergence analysis via the Eyring--Kramers law

no code implementations3 Feb 2021 Wenpin Tang, Xun Yu Zhou

in cumulative step size), and provide an explicit rate as a function of the model parameters.

State-Dependent Temperature Control for Langevin Diffusions

no code implementations15 Nov 2020 Xuefeng Gao, Zuo Quan Xu, Xun Yu Zhou

We study the temperature control problem for Langevin diffusions in the context of non-convex optimization.

Variance Contracts

no code implementations17 Aug 2020 Yichun Chi, Xun Yu Zhou, Sheng Chao Zhuang

We study the design of an optimal insurance contract in which the insured maximizes her expected utility and the insurer limits the variance of his risk exposure while maintaining the principle of indemnity and charging the premium according to the expected value principle.

Consistent Investment of Sophisticated Rank-Dependent Utility Agents in Continuous Time

no code implementations2 Jun 2020 Ying Hu, Hanqing Jin, Xun Yu Zhou

We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility.

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