Discretization of Second-Order Variational Systems
نویسندگان
چکیده
منابع مشابه
Second-order stochastic variational inference
Stochastic gradient descent (SGD), the workhorse of stochastic optimization, is slow in theory (sub-linear convergence) and in practice (thousands of iterations), intuitively for two reasons: 1) Its learning rate schedule is fixed a priori and decays rapidly enough to 0 that is square-summable. This learning rate schedule limits the step size and hence the rate of convergence for a Lipschitz ob...
متن کاملSecond Order Variational Optic Flow Estimation
In this paper we present a variational approach to accurately estimate the motion vector field in a image sequence introducing a second order Taylor expansion of the flow in the energy function to be minimized. This feature allows us to simultaneously obtain, in addition, an estimation of the partial derivatives of the motion vector field. The performance of our approach is illustrated with the...
متن کاملSimulation and Discretization of Fractional Order Systems
This work deals with the simulation and discretization of continuous time models with fractional order differentiation or integration. It addresses the issue of direct discretization of analog fractional order systems followed by approximating the discretization result with an integer order transfer function or approximating the analog fractional order system with an integer analog order system...
متن کاملNonconforming Mixed Discretization of Second Order Elliptic Problems
In the realm of nite element discretizations of elliptic problems a basic distinction can be made between conforming and nonconforming methods. The latter rely on approximations not contained in the space the exact solution lives in. Since additional diiculties are thus introduced nonconforming approaches usually are a last resort: if satisfactory conforming spaces prove elusive they are given ...
متن کاملOn Discretization of Second-order Derivatives in Smoothed Particle Hydrodynamics
Discretization of spatial derivatives is an important issue in meshfree methods especially when the derivative terms contain non-linear coefficients. In this paper, various methods used for discretization of second-order spatial derivatives are investigated in the context of Smoothed Particle Hydrodynamics. Three popular forms (i.e. ”double summation”, ”second-order kernel derivation”, and ”dif...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1993
ISSN: 0002-9939
DOI: 10.2307/2159199