77 citations · 143 across the 4 of their papers we have counts for
4 papers
Fully Neural Network based Model for General Temporal Point Processes
Takahiro Omi, Naonori Ueda, Kazuyuki Aihara
A temporal point process is a mathematical model for a time series of discrete events, which covers various applications. Recently, recurrent neural network (RNN) based models have…
Hawkes process model with a time-dependent background rate and its application to high-frequency financial data
Takahiro Omi, Yoshito Hirata, Kazuyuki Aihara
A Hawkes process model with a time-varying background rate is developed for analyzing the high-frequency financial data. In our model, the logarithm of the background rate is model…
Can distributed delays perfectly stabilize dynamical networks?
Takahiro Omi, Shigeru Shinomoto
Signal transmission delays tend to destabilize dynamical networks leading to oscillation, but their dispersion contributes oppositely toward stabilization. We analyze an integro-di…
Reverberating activity in a neural network with distributed signal transmission delays
Takahiro Omi, Shigeru Shinomoto
It is known that an identical delay in all transmission lines can destabilize macroscopic stationarity of a neural network, causing oscillation or chaos. We analyze the collective…