The augmented Lagrangian method (ALM) is one of the most useful methods for constrained optimization. Its convergence has been well established under convexity assumptions or smoothness assumptions, both assumptions. ALM may experience oscillations and divergence when underlying problem simultaneously nonconvex nonsmooth. In this paper, we consider linearly with a (in particular, weakly convex)...

In a Hilbert space setting, we consider new first order optimization algorithms which are obtained by temporal discretization of damped inertial autonomous dynamic involving dry friction. The function f to be minimized is assumed differentiable (not necessarily convex). friction potential $$ \varphi , has sharp minimum at the origin, enters algorithm via its proximal mapping, acts as soft thres...

Provisional hypomyopathic juvenile dermatomyositis is a subgroup of clinically amyopathic juvenile dermatomyositis provisional. The diagnostic criteria include: Classic dermatomyositis skin lesions – which have to be confirmed by biopsy –, no involvement of proximal muscles, subclinical involvement of these muscles and normal level of muscle enzymes. These criteria should be present for a minim...

because of its very dynamic nature and its close ties with global commerce, intellectual property law is one of the liveliest areas of law. the significant of this branch of law is manifested in the debate which is going on between developed and developing countries in terms of the scope of the protection of intellectual property rights. on the one hand, the developed country argue the stronger...

Non-convex and non-smooth optimization plays an important role in machine learning. Proximal gradient method is one of the most important methods for solving the nonconvex and non-smooth problems, where a proximal operator need to be solved exactly for each step. However, in a lot of problems the proximal operator does not have an analytic solution, or is expensive to obtain an exact solution. ...

originating from vygotsky’s sociocultural theory, dynamic assessment (da) proposes a novel approach to second language acquisition (sla) research according to which a dialectical relationship is envisaged between instruction and assessment. although da has been applied to some areas of sla, there are areas, such as interlanguage pragmatics (ilp), that have been neglected.  to address the issue,...

introduction: the aim of this study was to evaluate the effect of proximal contour of class ii composite restorations placed with straight or contoured matrix band using composite resins with different modulus of elasticity on stress distribution by finite element method. methods: in order to evaluate the stress distribution of class ii composite restorations using finite element method, upper ...

In this paper, we consider stochastic composite convex optimization problems with the objective function satisfying a bounded gradient condition, or without quadratic functional growth property. These models include most well-known classes of functions analyzed in literature: nonsmooth Lipschitz and composition (potentially) smooth function, strong convexity. Based on flexibility offered by our...

introduction: laryngopharyngeal reflux (lpr) is considered an important cause of voice disorder. we aimed to determine the frequency of lpr in patients with voice disorder and the association between koufman reflux symptom index (rsi), reflux finding score (rfs), gastroesophageal reflux disease (gerd), and proximal acid reflux in these patients. materials and methods: we performed a prospective...