the Science and Technology Innovation 2030-"New Generation Artificial Intelligence"Major Project(No.2018AAA0100901)。
In repeated zero-sum games,instead of constantly playing an equilibrium strategy of the stage game,learning to exploit the opponent given historical interactions could typically obtain a higher utility.However,when pl...
This article is devoted to developing a deep learning method for the numerical solution of the partial differential equations (PDEs). Graph kernel neural networks (GKNN) approach to embedding graphs into a computation...
supported in part by National Natural Science Foundation of China (Grant Nos.62025307,62333023,62311530097);Beijing Municipal Natural Science Foundation (Grant No.L243014);CAS Project for Young Scientists in Basic Research (Grant No.YSBR-034)。
Learning from demonstrations provides effective methods for teaching robot manipulation skills.However, capturing periodic manipulation skills remains challenging with the current techniques. To address this gap, we i...
supported by Hunan Provincial Natural Science Foundation of China Grant No.2021JJ30297;Scientific Research Fund of Hunan Provincial Education Department No.22A0478 and No.22C0365;Hunan Province Graduate Research Innovation,China Project No.CX20231208;Research and Innovation team of Hunan Institute of Science and Technology (Grant No.2019-TD-15).
In this paper,by using the bifurcation theory for dynamical system,we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic nonlin-earity.Firstly,based on wave variables,the ...
We propose a novel framework for learning a low-dimensional representation of data based on nonlinear dynamical systems,which we call the dynamical dimension reduction(DDR).In the DDR model,each point is evolved via a...
Given a compact and regular Hausdorff measure space (X, μ), with μ a Radon measure, it is known that the generalised space M(X) of all the positive Radon measures on X is isomorphic to the space of essentially bound...
In this article we consider the(complex)Ginzburg-Landau equation,we discretize in time using the implicit Euler scheme,and with the aid of the discrete Gronwall lemma and of the discrete uniform Gronwall lemma we prov...
supported partially by the National Natural Science Foundation of China(Grant No.12201275);by the Ministry of Education in China of Humanities and Social Science Project(Grant No.21YJCZH204);by the Liaoning Provincial Department of Education(Grant Nos.LJKFZ20220198,2023lslqnkt-044);supported partially by the National Natural Science Foundation of China(Grant No.12101281);supported partially by the National Natural Science Foundation of China(Grant Nos.12131004,11625105);by the Ministry of Science and Technology of China(Grant No.2021YFA1003600);supported partially by the National Natural Science Foundation of China(Grant No.11901024);by the Natural Science Foundation of Fujian Province(Grant No.2021J01661).
A novel dynamical model with fixed-time convergence is presented to solve the system of absolute value equations(AVEs).Under a mild condition,it is proved that the solution of the proposed dynamical system converges t...
This short communication uses numerical continuation to highlight the existence of an isola in a simple one-degree-of-freedom harmonically forced feedback system with actuator rate limiting as its only nonlinear eleme...
To understand the dynamical system scaling(DSS)analysis theory,the applicability of DSSβ-andω-strain transformation methods for the scaling analysis of complex loops was explored.A simplified model consisting of two...