Papers, ranked by score

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

Time Deep Gradient Flow Method for pricing American options

In this research, we explore neural network-based methods for pricing multidimensional American put options under the BlackScholes and Heston model, extending up to five dimensions. We focus on two approaches: the Time Deep Gradient Flow (TDGF) method and the Deep Galerkin Method (DGM). We extend th

Holy Grail Math 8.5 Rigor 7 ·  July 23, 2025

Error Analysis of Deep PDE Solvers for Option Pricing

Option pricing often requires solving partial differential equations (PDEs). Although deep learning-based PDE solvers have recently emerged as quick solutions to this problem, their empirical and quantitative accuracy remain not well understood, hindering their real-world applicability. In this rese

Holy Grail Math 7 Rigor 6.5 ·  May 8, 2025

Convergence of the generalization error for deep gradient flow methods for PDEs

The aim of this article is to provide a firm mathematical foundation for the application of deep gradient flow methods (DGFMs) for the solution of (high-dimensional) partial differential equations (PDEs). We decompose the generalization error of DGFMs into an approximation and a training error. We f

Lab Rats Math 9.5 Rigor 1.5 ·  December 31, 2025

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