Papers, ranked by score

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

MarketGANs: Multivariate financial time-series data augmentation using generative adversarial networks

This paper introduces MarketGAN, a factor-based generative framework for high-dimensional asset return generation under severe data scarcity. We embed an explicit asset-pricing factor structure as an economic inductive bias and generate returns as a single joint vector, thereby preserving cross-sect

Holy Grail Math 6.5 Rigor 8 ·  January 25, 2026

Pontryagin-Guided Policy Optimization for Merton's Portfolio Problem

We present a Pontryagin-Guided Direct Policy Optimization (PG-DPO) framework for Merton’s portfolio problem, unifying modern neural-network-based policy parameterization with the adjoint viewpoint from Pontryagin’s maximum principle (PMP). Instead of approximating the value function (as done in deep

Holy Grail Math 8 Rigor 5 ·  December 17, 2024

Breaking the Dimensional Barrier: Dynamic Portfolio Choice with Parameter Uncertainty via Pontryagin Projection

We study continuous-time portfolio choice in diffusion markets with parameter $θ\in Θ$ and uncertainty law $q(dθ)$. Nature draws latent $θ\sim q$ at time 0; the investor cannot observe it and must deploy a single $θ$-blind feedback policy maximizing an ex-ante CRRA objective averaged over diffusion

Lab Rats Math 9 Rigor 4 ·  January 6, 2026

Tighter 'uniform bounds for Black-Scholes implied volatility' and the applications to root-finding

Using the option delta systematically, we derive tighter lower and upper bounds of the Black-Scholes implied volatility than those in Tehranchi [SIAM J. Financ. Math. 7 (2016), 893-916]. As an application, we propose a Newton-Raphson algorithm on the log price that converges rapidly for all price ra

Lab Rats Math 6.5 Rigor 3 ·  February 17, 2023

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