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Random Neural Networks for Rough Volatility

delete2026-03-07
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PRE
AI
J
Jacquier, Antoine *
Z
Zuric, Zan
DOI:10.1007/s00245-026-10392-5delete
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Abstract

Abstract

En 中文
We construct a deep learning-based numerical algorithm to solve path-dependent partial differential equations arising in the context of rough volatility. Our approach is based on interpreting the PDE as a solution to an BSDE, building upon recent insights by Bayer, Qiu and Yao, and on constructing a neural network of reservoir type as originally developed by Gonon, Grigoryeva, Ortega. The reservoir approach allows us to formulate the optimisation problem as a simple least-square regression for which we prove theoretical convergence properties.
Keywords:
Rough volatility
SPDEs
Neural networks
Reservoir computing

Journal

A
APPLIED MATHEMATICS AND OPTIMIZATION
IF:
1.7
Papers:
106
Citations:
0

Organization

I
imperial college london
Scholars:
8.3K
Papers: 3.8K
Citations: 0
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