The objective is to find best estimate u ^ for u such that u ^ = arg min u ε (u ) (5 where ε (u ) = ‖ p o - p c ‖ 2 + λ β (u ) is the regularized least-squares error function with regularizing penalty function β (u ), which can be taken as a total variation function or other related function.
Ergodicity, in turn, is proved by first characterizing the Itô expansion coefficients of K0 invariant functions and then regularizing such functions via a smooth approximation of multiple Stratonovich integrals.
where C = γ RS Ω R,A γ BS Ω BS,A, D = 1 γ Ω BS ,R+ 1 γ RS Ω R,B and A 2 F ~ 1 is regularized Hypergeometric function.
200 (2004) 462 488], it was shown for simple examples that the then most common way to regularize delta functions in connection to level set methods produces inconsistent approximations with errors that are not reduced with grid refinement.
The initial level set function in (b) is regularized using the regularization functional R, and the final, regularized level set function in (h) is obtained.
In our situation, the discontinuous function to be regularized is the function signum.
The principal aim in this paper is to develop an effective and unified approach to the computation of traces of resolvents (and resolvent differences), Fredholm determinants, ζ-functions, and ζ-function regularized determinants associated with linear operators in a Hilbert space.
We address the balanced clustering problem where cluster sizes are regularized with submodular functions.
In 1888 the Local Government Act regularized the administrative functions of the counties and redrew some of the boundaries of the historic counties to create new administrative counties, including the county of London, formed from parts of the historic counties of Middlesex, Surrey, and Kent.
