Graph analytics algorithms leverage quantifiable structural properties of the data to predict interesting concepts and relationships. The same information, however, can be represented using many different structures and the structural properties observed over particular representations do not necessarily hold for alternative structures. Because these algorithms tend to be highly effective over ...

We obtain “quasi-optimal rates of convergence” for transmission (interface) problems on domains with smooth, curved boundaries using a non-conforming Generalized Finite Element Method (GFEM). More precisely, we study the strongly elliptic problem Pu := − ∑ ∂j(A ∂iu) = f in a smooth bounded domain Ω with Dirichlet boundary conditions. The coefficients Aij are piecewise smooth, possibly with jump...

Quasi-Newton methods are widely used in practise for convex loss minimization problems. These methods exhibit good empirical performance on a wide variety of tasks and enjoy super-linear convergence to the optimal solution. For largescale learning problems, stochastic Quasi-Newton methods have been recently proposed. However, these typically only achieve sub-linear convergence rates and have no...

We compute approximations of multivariate smooth functions by fitting random and quasi-random data to reduced size Tchebychef polynomial approximation models. We discuss the optimization of the data used in the least square method by testing several quasi-random sequences. Points built from optimal quadratic quantization are especially efficient. Very accurate approximation type quadrature form...

This is the part II of our series of two papers, “Clemens conjecture: part I”, “Clemens conjecture: part II”. Continuing from part I, in this paper we turn our attention to general quintic threefolds. In a universal quintic threefold X, we construct a family of quasi-regular deformations Bb such that the generic member in this family is non-deviated, but some special member is deviated. By the ...

Background Young children who experience human rhinovirus (HRV)-associated wheezing illnesses are more likely to develop subsequent asthma [1]. This has led to the hypothesis that HRV infection may be involved in the pathogenesis of airway remodeling in asthma [2]. Increased airway smooth muscle (ASM) mass, in which ASM cells are in close proximity to the subepithelial region, is a characterist...

Orai1, a specific nonvoltage-gated Ca(2+) channel, has been found to be one of key molecules involved in store-operated Ca(2+) entry (SOCE). Orai1 may associate with other proteins to form a signaling complex, which is essential for regulating a variety of physiological functions. In this study, we studied the possible interaction between Orai1 and large conductance Ca(2+)-activated potassium c...

This paper studies the motion control of a multiple manipulator free-flying space robot chasing a passive object in near proximity. Free-flyer kinematics are developed using a minimum set of bodyfixed barycentric vectors. Using a general and a quasi-coordinate Lagrangian formulation, equations of motion for model-based controllers are derived. Two model-based and one transposed Jacobian control...

Solving an optimization problem whose objective function is the sum of two convex functions has received considerable interests in the context of image processing recently. In particular, we are interested in the scenario when a non-differentiable convex function such as the total variation (TV) norm is included in the objective function due to many variational models established in image proce...