Papers, ranked by score

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

SANOS Smooth strictly Arbitrage-free Non-parametric Option Surfaces

We present a simple, numerically efficient but highly flexible non-parametric method to construct representations of option price surfaces which are both smooth and strictly arbitrage-free across time and strike. The method can be viewed as a smooth generalization of the widely-known linear interpol

Holy Grail Math 7.5 Rigor 6.5 ·  January 16, 2026

Generative Market Equilibrium Models with Stable Adversarial Learning via Reinforcement

We present a general computational framework for solving continuous-time financial market equilibria under minimal modeling assumptions while incorporating realistic financial frictions, such as trading costs, and supporting multiple interacting agents. Inspired by generative adversarial networks (G

Lab Rats Math 8.5 Rigor 4.5 ·  April 5, 2025

Generative Neural Operators of Log-Complexity Can Simultaneously Solve Infinitely Many Convex Programs

Neural operators (NOs) are a class of deep learning models designed to simultaneously solve infinitely many related problems by casting them into an infinite-dimensional space, whereon these NOs operate. A significant gap remains between theory and practice: worst-case parameter bounds from universa

Lab Rats Math 9 Rigor 3.5 ·  August 20, 2025

Simultaneously Solving Infinitely Many LQ Mean Field Games In Hilbert Spaces: The Power of Neural Operators

Traditional mean-field game (MFG) solvers operate on an instance-by-instance basis, which becomes infeasible when many related problems must be solved (e.g., for seeking a robust description of the solution under perturbations of the dynamics or utilities, or in settings involving continuum-paramete

Lab Rats Math 9.5 Rigor 2 ·  October 22, 2025

Generative Ornstein-Uhlenbeck Markets via Geometric Deep Learning

We consider the problem of simultaneously approximating the conditional distribution of market prices and their log returns with a single machine learning model. We show that an instance of the GDN model of Kratsios and Papon (2022) solves this problem without having prior assumptions on the market'

Lab Rats Math 8.5 Rigor 2.5 ·  February 17, 2023

One model to solve them all: 2BSDE families via neural operators

We introduce a mild generative variant of the classical neural operator model, which leverages Kolmogorov–Arnold networks to solve infinite families of second-order backward stochastic differential equations ($2$BSDEs) on regular bounded Euclidean domains with random terminal time. Our first main re

Lab Rats Math 9.2 Rigor 1.5 ·  November 3, 2025

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