Papers, ranked by score

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

Reinforcement Learning for Speculative Trading under Exploratory Framework

We study a speculative trading problem within the exploratory reinforcement learning (RL) framework of Wang et al. [2020]. The problem is formulated as a sequential optimal stopping problem over entry and exit times under general utility function and price process. We first consider a relaxed versio

Holy Grail Math 8.5 Rigor 5.5 ·  April 2, 2026

Neural Network Convergence for Variational Inequalities

We propose an approach to applying neural networks on linear parabolic variational inequalities. We use loss functions that directly incorporate the variational inequality on the whole domain to bypass the need to determine the stopping region in advance and prove the existence of neural networks wh

Lab Rats Math 9.5 Rigor 4.5 ·  September 30, 2025

S-shaped Utility Maximization with VaR Constraint and Partial Information

We study S-shaped utility maximisation with VaR constraint and unobservable drift coefficient. Using the Bayesian filter, the concavification principle, and the change of measure, we give a semi-closed integral representation for the dual value function and find a critical wealth level that determin

Lab Rats Math 8.5 Rigor 3 ·  June 11, 2025

Extended HJB Equation for Mean-Variance Stopping Problem: Vanishing Regularization Method

This paper studies the time-inconsistent MV optimal stopping problem via a game-theoretic approach to find equilibrium strategies. To overcome the mathematical intractability of direct equilibrium analysis, we propose a vanishing regularization method: first, we introduce an entropy-based regulariza

Lab Rats Math 8.5 Rigor 1.5 ·  October 28, 2025

Consumption-investment optimization with Epstein-Zin utility in unbounded non-Markovian markets

The paper investigates the consumption-investment problem for an investor with Epstein-Zin utility in an incomplete market. A non-Markovian environment with unbounded parameters is considered, which is more realistic in practical financial scenarios compared to the Markovian setting. The optimal con

Lab Rats Math 8.5 Rigor 1.5 ·  July 29, 2024

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