We present singular value decomposition of spin correlation matrix defined from the ground state one-dimensional antiferromagnetic quantum Heisenberg model. The creates a data set that coincides with various domain excitations classical state. determine scaling relation for values as function size. are closely related to square weights bases in ground-state wavefunction. nature is precisely est...

We study the synchronization of a generalized Kuramoto system in which coupling weights are determined by phase differences between oscillators. employ fast-learning regime Hebbian-like plasticity rule so that interaction oscillators is enhanced approach phases. First, we well-posedness problem for singular weighted systems Lipschitz continuity deprived. present dynamics equipped with all subcr...

Master equations describing open quantum dynamics are typically first order differential equations. When such brings the trajectories in state space of more than one initial to same point at finite instants time, generator corresponding master equation becomes singular. The first-order, time-local, homogeneous then fail describe beyond singular point. Retaining time-locality necessitates a refo...

1. Introduction In this paper, we study the moduli spaces of semistable parabolic bundles of arbitrary rank over a smooth curve X with marked points in a nite subset P of X. A parabolic bundle consists of a holomorphic bundle E over X together with weighted ags in the bers E p for each p 2 P. The moduli space M of semistable parabolic bundles was constructed by Mehta and Seshadri as the space o...

We apply the discrete version of Calderón’s reproducing formula and Littlewood–Paley theory with weights to establish the H w → H w (0 < p < ∞) and H w → Lw (0 < p ≤ 1) boundedness for singular integral operators and derive some explicit bounds for the operator norms of singular integrals acting on these weighted Hardy spaces when we only assume w ∈ A∞. The bounds will be expressed in terms of ...

This is the first part of a series of four articles. In this work, we are interested in weighted norm estimates. We put the emphasis on two results of different nature: one is based on a good-λ inequality with two-parameters and the other uses Calderón-Zygmund decomposition. These results apply well to singular “non-integral” operators and their commutators with bounded mean oscillation functio...

An alternative to singular value decomposition (SVD) in the information retrieval is the low-rank approximation of an original non-negative matrix A by its non-negative factors U and V . The columns of U are the feature vectors with no non-negative components, and the columns of V store the non-negative weights that serve for the combination of feature vectors. First experiments show that restr...

Abstract: We consider a square matrix Aǫ whose entries have first order asymptotics of the form (Aǫ)i j ∼ ai j ǫAi j when ǫ goes to 0, for some ai j ∈ C and Ai j ∈ R. We show that under a non-degeneracy condition, the order of magnitudes of the different eigenvalues ofAǫ are given by min-plus eigenvalues of min-plus Schur complements built from A = (Ai j ), or equivalently by generalized minima...

We present a method to solve the inverse problem in pulsed photothermal radiometry sPPTRd that exploits advantages of truncated singular value decomposition sT-SVDd while imposing a non-negativity constraint to the solution. The presented method is a hybrid in the sense that it expresses the solution vector as a linear superposition of right singular vectors, but with a non-negative constraint ...

High resolution range profile (HRRP) plays an important role in wideband radar automatic target recognition (ATR). In order to alleviate the sensitivity to clutter and target aspect, employing a sequence of HRRP is a promising approach to enhance the ATR performance. In this paper, a novel HRRP sequence-matching method based on singular value decomposition (SVD) is proposed. First, the HRRP seq...