Optimal contours for high-order derivatives
نویسندگان
چکیده
منابع مشابه
Second Order Derivatives for Network Pruning: Optimal Brain Surgeon
We investigate the use of information from all second order derivatives of the error function to perform network pruning (i.e., removing unimportant weights from a trained network) in order to improve generalization and increase the speed of further training. Our method, Optimal Brain Surgeon (OBS), is significantly better than magnitude-based methods, which can often remove the wrong weights. ...
متن کاملOptimal Fourth-order Iterative Methods Free from Derivatives
The construction of optimal fourth-order iterative schemes for solving univariate nonlinear equations is discussed. Per iteration, the methods consist of three evaluations of the function and they are free from any derivative calculation which property is so fruitful in engineering problems. We analytically show the fourth-order convergence. Numerical examples are considered to confirm the appl...
متن کاملGlobally Optimal Finsler Active Contours
We present a continuous and convex formulation for Finsler active contours using seed regions or utilizing a regional bias term. The utilization of general Finsler metrics instead of Riemannian metrics allows the segmentation boundary to favor appropriate locations (e.g. with strong image discontinuities) and suitable directions (e.g. aligned with dark to bright image gradients). Strong edges a...
متن کاملHigh-order optimal edge elements for pyramids, prisms and hexahedra
Talk Abstract Edge elements are a popular method to solve Maxwell’s equations especially in time-harmonic domain. When non-affine elements are considered however, elements of the Nedelec’s first family are not providing an optimal rate of the convergence of the numerical solution toward the solution of the exact problem in H(curl)norm. We propose new finite element spaces for pyramids, prisms, ...
متن کاملNew Formulae for the High-Order Derivatives of Some Jacobi Polynomials: An Application to Some High-Order Boundary Value Problems
This paper is concerned with deriving some new formulae expressing explicitly the high-order derivatives of Jacobi polynomials whose parameters difference is one or two of any degree and of any order in terms of their corresponding Jacobi polynomials. The derivatives formulae for Chebyshev polynomials of third and fourth kinds of any degree and of any order in terms of their corresponding Cheby...
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: IMA Journal of Numerical Analysis
سال: 2012
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/drs030