Difference of Convex (DC) optimization problems have objective functions that are differences between two convex functions. Representative ways solving these the proximal DC algorithms, which require part function $L$-smoothness. In this article, we propose Bregman Proximal Algorithm (BPDCA) for large-scale do not possess Instead, it requires has $L$-smooth adaptable property is exploited in gr...

statement of problem: dental caries is one of the common diseases in the world. it is an infective disease which is caused by loss of minerals and destruction of dental tissues. one of the most effective ways to diagnose the interproximal caries is radiography. bitewing radiography is the best way for caries diagnosis. purpose: the aim of this study was to evaluate the prevalence of the interpr...

We propose an infeasible interior proximal method for solving variational inequality problems with maximal monotone operators and linear constraints. The interior proximal method proposed by Auslender, Teboulle and Ben-Tiba [3] is a proximal method using a distance-like barrier function and it has a global convergence property under mild assumptions. However, this method is applicable only to p...

We study the convergence and rates of a multi-block proximal alternating direction method multipliers (PADMM) for solving linearly constrained separable nonconvex nonsmooth optimization problems. This algorithm is an important variant (ADMM) which includes term in each subproblem, to cancel out complicated terms applications where subproblems are not easy solve or do admit simple closed form so...

Stage-dependent cell sorting in vitro is an intriguing property that mesenchymal cells of a chick limb bud have. We previously proposed that N-cadherin, a cell adhesion molecule, is involved in the sorting process and is likely to be a component of the mechanism of proximal-distal patterning in the developing limb (Yajima et al., (1999) Dev. Dynam. 216:274-284). Here, we present more direct evi...

OBJECTIVES Recent studies have linked abnormal aortic medial pathology to progressive aortic root dilatation in patients with tetralogy of Fallot (TOF). To explore whether the aortic medial pathology in TOF is linked to aortic mechanical property, the present study tested the hypothesis that the distribution of impaired aortic elasticity corresponds to the known distribution of abnormal medial ...

It is known that the proximal point algorithm converges weakly to a zero of a maximal monotone operator, but it fails to converge strongly. Then, in (Math. Program. 87:189-202, 2000), Solodov and Svaiter introduced the new proximal-type algorithm to generate a strongly convergent sequence and established a convergence property for the algorithm in Hilbert spaces. Further, Kamimura and Takahashi...

This paper studies convergence properties of inexact variants of the proximal point algorithm when applied to a certain class of nonmonotone mappings. The presented algorithms allow for constant relative errors, in the line of the recently proposed hybrid proximal-extragradient algorithm. The main convergence result extends a recent work of the second author, where exact solutions for the proxi...

background and aims. with the introduction of cone beam computed tomography (cbct) in dentistry, a question has been raised whether the technique significantly increases the diagnostic accuracy in comparison with other techniques or not. therefore, the present study was undertaken to assess the accuracy of cbct modality in detecting proximal carious lesions as compared to conventional periapica...