Search Results for author: Tomoyuki Ichiba

Found 5 papers, 0 papers with code

Relative Arbitrage Opportunities in an Extended Mean Field System

no code implementations5 Nov 2023 Nicole Tianjiao Yang, Tomoyuki Ichiba

We establish a conditional McKean-Vlasov system to study the market dynamics coupled with investors.

Directed Chain Generative Adversarial Networks

no code implementations25 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.

Time Series

Systemic Risk Models for Disjoint and Overlapping Groups with Equilibrium Strategies

no code implementations1 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.

Convolutional Signature for Sequential Data

no code implementations14 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.

BIG-bench Machine Learning

Relative Arbitrage Opportunities in $N$ Investors and Mean-Field Regimes

no code implementations26 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.

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