Papers, ranked by score

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

AFNO: Universal Certifiably-Arbitrage-Free Operator Learning Framework for European Call-Price Surfaces

Neural operators (NOs) have been introduced as deep learning-powered solutions to the computational bottleneck of solving families of problems. Once trained, an NO can rapidly output approximate solutions, avoiding the need to rerun classical solvers. However, standard NO architectures cannot guaran

Holy Grail Math 8.5 Rigor 6 ·  October 13, 2026

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

Fast-Vollib: A Fast Implied Volatility Library for Pythonwith PyTorch, JAX, and CUDA Fused-Kernel Backends

We present fast-vollib, an open-source Python library that provides high-performance European option pricing, implied volatility (IV) computation, and Greeks under the Black-76, Black-Scholes, and Black-Scholes-Merton models. The library is designed as a drop-in alternative to the de-facto-standard

Street Traders Math 3 Rigor 8.5 Code ·  April 1, 2026

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