A fixed-point neural operator framework models stochastic Fredholm integral equations as stochastic deep neural networks and applies them to financial equations including Black-Scholes, contagion dynamics, and Merton jump diffusion, with results reported to agree well.
Proceedings of the American Mathematical Society 4, 506–510
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Explainable Artificial Intelligence for Financial Integral Equations: A Fixed-Point Neural Operator Approach
A fixed-point neural operator framework models stochastic Fredholm integral equations as stochastic deep neural networks and applies them to financial equations including Black-Scholes, contagion dynamics, and Merton jump diffusion, with results reported to agree well.