نتایج جستجو برای: newton basis functions

تعداد نتایج: 862303  

Journal: :Mathematical Proceedings of the Cambridge Philosophical Society 2015

Journal: :Numerische Mathematik 2015
Jonathan H. Manton

The Newton iteration is a popular method for minimising a cost function on Euclidean space. Various generalisations to cost functions defined on manifolds appear in the literature. In each case, the convergence rate of the generalised Newton iteration needed establishing from first principles. The present paper presents a framework for generalising iterative methods from Euclidean space to mani...

Journal: :Mathematische Zeitschrift 2021

The bifurcation sets of polynomial functions have been studied by many mathematicians from various points view. In particular, Némethi and Zaharia described them in terms Newton polytopes. this paper, we will show analogous results for rational functions.

Journal: :Control and Intelligent Systems 2013
Yunong Zhang Zhen Li Weibing Li Pei Chen

A novel type of fractals (i.e., Zhang fractals) is yielded via solving time-varying or static nonlinear equations in complex domain by discrete-time complex-valued Zhang dynamics (DTCVZD). The DTCVZD model that uses different types of activation functions can generate various Zhang fractals. These fractals are different from the conventional Newton fractals discovered 30 years ago (since 1983) ...

2014
Patrick Henning Axel Målqvist Daniel Peterseim

In this paper we propose and analyze a localized orthogonal decomposition (LOD) method for solving semi-linear elliptic problems with heterogeneous and highly variable coefficient functions. This Galerkin-type method is based on a generalized finite element basis that spans a low dimensional multiscale space. The basis is assembled by performing localized linear fine-scale computations on small...

2013
Assyr Abdulle Yun Bai Gilles Vilmart

A reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) for a class of nonlinear homogenization elliptic problems of nonmonotone type is introduced. In this approach, the solutions of the micro problems needed to estimate the macroscopic data of the homogenized problem are selected by a Greedy algorithm and computed in an offline stage. It is shown that the use of reduced bas...

2012
Patrick Henning Axel Målqvist Daniel Peterseim

In this paper we propose and analyze a new Multiscale Method for solving semi-linear elliptic problems with heterogeneous and highly variable coefficient functions. For this purpose we construct a generalized finite element basis that spans a low dimensional multiscale space. The basis is assembled by performing localized linear fine-scale computations in small patches that have a diameter of o...

Journal: :CoRR 2017
Yangchen Pan Erfan Sadeqi Azer Martha White

High-dimensional representations, such as radial basis function networks or tile coding, are common choices for policy evaluation in reinforcement learning. Learning with such high-dimensional representations, however, can be expensive, particularly for matrix methods, such as least-squares temporal difference learning or quasi-Newton methods that approximate matrix step-sizes. In this work, we...

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