Energy Conservation in Infinitely Wide Neural-Networks
Shu Eguchi; Takafumi Amaba
Artificial Neural Networks and Machine Learning – ICANN 2021, Part IV, Proceedings of 30th International Conference on Artificial Neural Networks, Bratislava, Slovakia, 14--17 September 2021., 2021, LNCS(Volume 12894):177 - 189, Refereed
Modulus of continuity of controlled Loewner–Kufarev equations and random matrices
Takafumi Amaba; Rola; Friedrich
Anal.Math.Phys., 08 May 2020, 10(2, Article number: 23), Refereed
Univalence and holomorphic extension of the solution to ω-controlled Loewner-Kufarev equations
Takafumi Amaba; Roland Friedrich; Takuya Murayama
Journal of Differential Equations, 14 Feb. 2020, 269(3):2697 - 2704, Refereed
Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian
Takafumi Amaba; Rola; Friedrich
SIGMA, 2020, 16(108), Refereed
L2-convergence rate for the discretization error of functions of Lévy process
Takafumi Amaba; Nien-Lin Liu; Azmi Makhlouf; Takwa Saidaoui
Stochastics, 17 Jul. 2019
Convergence Implications via Dual Flow Method
Takafumi Amaba; Dai Taguchi; Gô Yûki
Markov Processes Relat. Fields, 2019, 25(3):533 - 568, Refereed
Distributional Itô’s Formula and Regularization of Generalized Wiener Functionals
Takafumi Amaba; Yoshihiro Ryu
ALEA, Lat. Am. J. Probab. Math. Stat., 25 Jun. 2018, 15:703 - 753, Refereed
A coupling of Brownian motions in the \mathcal{L}_{0}-geometry.
Takafumi Amaba; Kazumasa Kuwada
Tohoku Mathematical Journal, 01 Mar. 2018
A Discrete-Time Clark-Ocone Formula and its Application to an Error Analysis.
Jirô Akahori; Takafumi Amaba; Kaori Okuma
Journal of Theoretical Probability, 01 Jan. 2016
Analysis of Wiener- and Poisson- space using representations of Lie algebras (Thesis)
Ritsumeikan university, 01 Mar. 2014
A Discrete-Time Clark-Ocone Formula for Poisson Functionals.
Asia-Pacific Financial Markets, 01 Dec. 2013
An algebraic approach to the Cameron-Martin- Maruyama-Girsanov formula
Jirô Akahori; Takafumi Amaba; Sachiyo Uraguchi
Mathematical Journal of Okayama University, 01 Jan. 2013
Some Simulation Results on the Computation of Delta of Path-Dependent Options Using a Discrete Version of Clark-Ocone Formula
Jirô Akahori; Takafumi Amaba; Kaori Okuma
Proceedings of the 42nd ISCIE International Symposium on Stochastic Systems Theory and Its Application, 01 May 2011
