arXiv Machine Learning By Kai Du, Yongle Xie, Tao Zhou, Yuancheng Zhou

DeepSPoC: A Deep Learning Based Sequential Propagation of Chaos

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DeepSPoC is a neural particle method that replaces direct particle-particle interactions in sequential propagation of chaos (SPoC) with particle‑network interactions, using a neural density representation (KRnet) to approximate the empirical measure. By simulating particles in batches and embedding a neural network into the mean‑field SDE coefficients, DeepSPoC reduces memory usage and computational cost compared to traditional particle methods. The approach is demonstrated on various mean‑field equations, showing improved scalability for high‑dimensional problems.

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