no code implementations • 5 Nov 2023 • Nicole Tianjiao Yang, Tomoyuki Ichiba
We establish a conditional McKean-Vlasov system to study the market dynamics coupled with investors.
no code implementations • 25 Apr 2023 • Ming Min, Ruimeng Hu, Tomoyuki Ichiba
Real-world data can be multimodal distributed, e. g., data describing the opinion divergence in a community, the interspike interval distribution of neurons, and the oscillators natural frequencies.
no code implementations • 1 Feb 2022 • Yichen Feng, Jean-Pierre Fouque, Ruimeng Hu, Tomoyuki Ichiba
We introduce the concept of Nash equilibrium for these new models, and analyze the optimal solution under Gaussian distribution of the risk factor.
no code implementations • 14 Sep 2020 • Ming Min, Tomoyuki Ichiba
Signature is an infinite graded sequence of statistics known to characterize geometric rough paths, which includes the paths with bounded variation.
no code implementations • 26 Jun 2020 • Tomoyuki Ichiba, Tianjiao Yang
The relative arbitrage portfolio, formulated in Stochastic Portfolio Theory (SPT), outperforms a benchmark portfolio over a given time-horizon with probability one.