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We introduce a new dimension-reduction technique, the Partially Linear Reduced-rank Regression (PLRR) model, for exploring possible nonlinear structure in a regression involving both multivariate response and covariate. The PLRR model specifies that the response vector loads linearly on some linear indices of the covariate, and nonlinearly on some other indices of the covariate. We give a set o...

The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the linear operators on Mn which preserve certain matrix functions: those linear operators on Mn preserves the determinant and those preserves the characteristic polynomial (spectrum). He proved that if M M n n → : T is a linear transformation satisfying) det()) (T det(A A = , M A n ∈ , then either UAV ...

positioning, including spatial analysis is that much effect in reducing the cost of creating and launching various activities there. that's why one of the important and effective steps projects are considered. one of the preoccupations of urban planners in designing urban spaces and locate the appropriate service areas and is optimal. the main goal of establishing stations to provide fire ...

We study the linear syzygies of a homogeneous ideal I ⊆ S = Symk(V ), focussing on the graded betti numbers bi,i+1 = dimk Tori(S/I, k)i+1. For a variety X and divisor D with V = H(D), what conditions on D ensure that bi,i+1 6= 0? In [2], Eisenbud shows that a decomposition D∼A+B such that A and B have at least two sections gives rise to determinantal equations (and corresponding syzygies) in IX...

In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...

A novel linear blind adaptive receiver based on joint iterative optimization (JIO) and the constrained constant modulus (CCM) design criterion is proposed for interference suppression in direct-sequence ultra-wideband (DS-UWB) systems. The proposed blind receiver consists of two parts, a transformation matrix that performs dimensionality reduction and a reduced-rank filter that produces the out...

In this paper, we argue that only using behavioural motion information, we are able to predict the interest of observers when looking at face-to-face interactions. We propose a set of movement-related features from body, face, and mouth activity in order to define a set of higher level interaction features, such as stress, activity, speaking engagement, and corporal engagement. Error-Correcting...