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06/15/2020
Derivative-free global minimization for a class of multiple minima problems
We prove that the finite-difference based derivative-free descent (FD-DF...
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04/05/2020
Regularized asymptotic descents for a class of nonconvex optimization problems
We propose and analyze regularized asymptotic descent (RAD) methods for ...
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04/05/2020
Regularized asymptotic descents for nonconvex optimization
In this paper we propose regularized asymptotic descent (RAD) methods fo...
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02/25/2020
Can speed up the convergence rate of stochastic gradient methods to O(1/k^2) by a gradient averaging strategy?
In this paper we consider the question of whether it is possible to appl...
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12/31/2019
Stochastic gradient-free descents
In this paper we propose stochastic gradient-free methods and gradient-f...
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09/03/2019
Contraction methods for continuous optimization
We describe a class of algorithms that establishes a contracting sequenc...
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09/03/2019
Contractility of continuous optimization
By introducing the concept of contractility, all the possible continuous...
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09/03/2019
Continuous optimization
Sufficient conditions for the existence of efficient algorithms are esta...
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05/12/2019
Numerical meshless solution of high-dimensional sine-Gordon equations via Fourier HDMR-HC approximation
In this paper, an implicit time stepping meshless scheme is proposed to ...
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05/12/2019
Meshless Hermite-HDMR finite difference method for high-dimensional Dirichlet problems
In this paper, a meshless Hermite-HDMR finite difference method is propo...
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02/18/2019