1 Abstract In this paper, we describe our attempts to develop an algorithm for solving the optimal H2 model reduction problem in a pole-residue framework using Newton’s method. To this end, we convert the moment matching problem into a form where it requires finding the zero of a function. This function takes in the poles and residues of a reduced system as independent variables and is zero at ...

In this paper, we propose an approach for the semantic segmentation of a 3D point cloud using local 3D moment invariants and the integration of contextual information. Specifically, we focus on the task of analyzing forestal and urban areas which were recorded by terrestrial LiDAR scanners. We demonstrate how 3D moment invariants can be leveraged as local features and that they are on a par wit...

Parity and time invariance violating (P, T-odd) nuclear forces produce P, T-odd nuclear moments. In turn, these moments can induce electric dipole moments (EDMs) in atoms through the mixing of electron wavefunctions of opposite parity. The nuclear EDM is screened by atomic electrons. The EDM of an atom with closed electron subshells is induced by the nuclear Schiff moment. Previously the intera...

A bstract We present a global analysis program for the generalized parton distributions (GPDs) based on conformal moment expansion. apply strategy of universal parameterization to fit both collinear distribution functions (PDFs) from phenomenology and form factors lattice calculations, show that is flexible enough accommodate these constraints. In addition, we can also direct calculations GPDs ...

Parity and time invariance violating (P, T-odd) nuclear forces produce P, T-odd nuclear moments. In turn, these moments can induce electric dipole moments (EDMs) in atoms through the mixing of electron wavefunctions of opposite parity. The nuclear EDM is screened by atomic electrons. The EDM of an atom with closed electron subshells is induced by the nuclear Schiff moment. Previously the intera...

‎In this paper‎, ‎we generalize the proximal point algorithm to complete CAT(0) spaces and show‎ ‎that the sequence generated by the proximal point algorithm‎ $w$-converges to a zero of the maximal‎ ‎monotone operator‎. ‎Also‎, ‎we prove that if $f‎: ‎Xrightarrow‎ ‎]-infty‎, +‎infty]$ is a proper‎, ‎convex and lower semicontinuous‎ ‎function on the complete CAT(0) space $X$‎, ‎then the proximal...

Spin-density-functional theory of quantum point contacts (QPCs) reveals the formation of a local moment with a net of one electron spin in the vicinity of the point contact-supporting the recent report of a Kondo effect in a QPC. The hybridization of the local moment to the leads decreases as the QPC becomes longer, while the on site Coulomb-interaction energy remains almost constant.

The mean-field dynamics of an electric dipole moment in a deterministic and a fluctuating electric field is solved to obtain the average over fluctuations of the dipole moment and the angular momentum as a function of time for a Gaussian white-noise stochastic electric field. The components of the average electric dipole moment and the average angular momentum along the deterministic electric-f...

Moment invariants have been widely introduced in recognizing planar objects for a few decades. This is due the robustness of moment function in distinguishing the original identity of object under various two Dimensional (2D) transformations. A set of moments computed from a planar images, represents the global description of an object’s shape and geometrical features of an image. Since global ...

We study the fluctuations of the diagonal matrix elements of the quantum cat map about their limit. We show that after suitable normalization, the fifth centered moment for the Hecke basis vanishes in the semiclassical limit, confirming in part a conjecture of Kurlberg and Rudnick. We also study sums of matrix elements lying in short windows. For observables with zero mean, the first moment of ...