Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Variable Clustering via Distributionally Robust Nodewise Regression

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. To solve the latter problem, we derive a convex relaxation, provide guidance on selecting the size of the rob

Holy Grail Math 8 Rigor 7.5 ·  December 15, 2022

Learning to Optimally Stop Diffusion Processes, with Financial Applications

We study optimal stopping for diffusion processes with unknown model primitives within the continuous-time reinforcement learning (RL) framework developed by Wang et al. (2020), and present applications to option pricing and portfolio choice. By penalizing the corresponding variational inequality fo

Holy Grail Math 8.5 Rigor 6.5 ·  August 17, 2024

Reinforcement Learning for Jump-Diffusions, with Financial Applications

We study continuous-time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump-diffusion processes. We formulate an entropy-regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL. U

Lab Rats Math 8.5 Rigor 4 ·  May 26, 2024

Naive Markowitz Policies

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. We define the resulting naive policies through the limit of discretely naive policies that are committed only in very

Lab Rats Math 8 Rigor 2.5 ·  December 14, 2022

Merton's Problem with Recursive Perturbed Utility

The classical Merton investment problem predicts deterministic, state-dependent portfolio rules; however, laboratory and field evidence suggests that individuals often prefer randomized decisions leading to stochastic and noisy choices. Fudenberg et al. (2015) develop the additive perturbed utility

Lab Rats Math 8.5 Rigor 1.5 ·  February 14, 2026

Robust utility maximization with intractable claims

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. The investor knows nothing about the claim other than its probability distribution, hence an ``i

Lab Rats Math 8.5 Rigor 1.5 ·  April 14, 2023

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