Results 11 to 20 of about 1,273,558 (290)
Analyzing the discrepancy principle for kernelized spectral filter learning algorithms
J. Mach. Learn. Res., 2020 68 pages, 4 ...
Celisse, Alain, Wahl, Martin
openaire +7 more sources
Regularization properties of the discrepancy principle for Tikhonov regularization in Banach spaces: Regularization properties of the discrepancy principle for Tikhonov regularization in Banach spaces [PDF]
, 2012 The stable solution of ill-posed non-linear operator equations in Banach space requires regularization. One important approach is based on Tikhonov regularization, in which case a one-parameter family of regularized solutions is obtained. It is crucial to choose the parameter appropriately. Here, a variant of the discrepancy principle is analyzed.
Anzengruber, Stephan W. +2 more
core +5 more sources
, 2023 Two Matlab Data files were generated from the replication code.The two files describe the discrepancy between the results from the PSM and rationality checks, showing the role of manual adjustments.
Yunsong Liang (13159956)
core +1 more source
Discrepancy principle for DSM II [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Convergence Rate of the Modified Landweber Method for Solving Inverse Potential Problems
Mathematics, 2020 In this paper, we present the convergence rate analysis of the modified Landweber method under logarithmic source condition for nonlinear ill-posed problems. The regularization parameter is chosen according to the discrepancy principle.
Pornsarp Pornsawad +2 more
doaj +1 more source
On rules for stopping the conjugate gradient type methods in ill‐posed problems
Mathematical Modelling and Analysis, 2007 We consider stopping rules in conjugate gradient type iteration methods for solving linear ill‐posed problems with noisy data. The noise level may be known exactly or approximately or be unknown. We propose several new stopping rules, mostly for the case
Uno Hämarik, Reimo Palm
doaj +1 more source
Discrepancy Sets for Combined Least Squares Projection and Tikhonov Regularization
Mathematical Modelling and Analysis, 2017 To solve a linear ill-posed problem, a combination of the finite dimensional least squares projection method and the Tikhonov regularization is considered. The dimension of the projection is treated as the second parameter of regularization.
Teresa Reginska
doaj +1 more source
Good lattice rules based on the general weighted star discrepancy [PDF]
, 2007 We study the problem of constructing rank- lattice rules which have good bounds on the ``weighted star discrepancy''. Here the non-negative weights are general weights rather than the product weights considered in most earlier works.
Joe, Stephen, Sinescu, Vasile
core +1 more source
Mathematical Modelling and Analysis, 2014 In this paper we consider the problem for identifying an unknown steady source in a space fractional diffusion equation. A truncation method based on a Hermite function expansion is proposed, and the regularization parameter is chosen by a discrepancy ...
Zhenyu Zhao +3 more
doaj +1 more source
Construction of Good Rank-1 Lattice Rules Based on the Weighted Star Discrepancy [PDF]
, 2006 The ‘goodness’ of a set of quadrature points in [0, 1]d may be measured by the weighted star discrepancy. If the weights for the weighted star discrepancy are summable, then we show that for n prime there exist n-point rank-1 lattice rules whose weighted
Joe, Stephen
core +1 more source