Based on Läuter’s (Biometrics, 1996) exact t test for biometrical studies related to the multivariate normal mean, we develop a generalized F -test for the multivariate normal mean and extend it to multiple comparison. The proposed generalized F tests have simple approximate null distributions. A Monte Carlo study and two real examples show that the generalized F -test is at least as good as th...

We introduce the shrinking hybrid projection method for finding a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of the variational inequalities with inverse-strongly monotone mappings, and the set of common solutions of generalized mixed equilibrium problems in Hilbert spaces. Furthermore, we prove strong convergence theorems for a...

When in a linear GMM model nuisance parameters are eliminated by multiplying the moment conditions by a projection matrix, the covariance matrix of the model, the inverse of which is typically used to construct an efficient GMM estimator, turns out to be singular and thus cannot be inverted. However, one can show that the generalized inverse can be used instead to produce an efficient estimator...

In this paper, we exploit the advantages of tensor representations and propose a Supervised Multilinear Learning Model for regression. The model is based on the Canonical (CANDECOMP)/Parallel Factors (PARAFAC) decomposition of tensors of multiple modes and allows the simultaneous projection of an input tensor to more than one discriminative directions along each mode. These projection weights a...

In this paper we study the properties of the projection onto a finitely generated cone. We show for example that this map is made up of finitely many linear parts with a structure resembling the facial structure of the finitely generated cone. An economical algorithm is also presented for calculating the projection of a fixed vector, based on Lemke’s algorithm to solve a linear complementarity ...

The approximate solvability of a generalized system for strongly accretive nonlinear variational inequalities in q−uniformly smooth Banach spaces is studied, based on the convergence of sunny nonexpansive retraction projection methods. The results presented in this paper extend and improve the main results of R.U.Verma[General convergence analysis for two-step projection methods and application...

We are ultimately interested in developing a set of expressions that describe a system at all times and frequencies. In section 2, we will introduce the projection operator and use it to derive the Generalized Langevin Equation. The projection operator allows us to study only the portion of the system we are interested in, and treat the rest as a statistical bath. In section 3, we will use the ...

The size distribution of a particle suspension can be inferred from studying the diffracted light pattern produced by a laser beam that passes through the suspension. This involves solving an ill-posed linear system. Two previous versions of projection algorithms were tested by use of computer simulations and experiments. Both algorithms showed limitations in restoring the size distribution, be...

In this paper,a improved local preserve projection algorithm is proposed in order to enhance the recognition performance of the i-vector speaker recognition system under unpredicted noise environment. First , the non zero eigenvalue is rejected when we solve the optimal objective function and only the value greater than zero are used. A mapping matrix is obtained by solving a generalized eigenv...

ion for Decision-Theoretic Planning AnHai Doan and Peter Haddawy Department of EE & CS University of Wisconsin-Milwaukee PO Box 784 Milwaukee, WI 53201 fanhai, [email protected] 414 229-4955 Abstract We present a general theory of action abstraction for reducing the complexity of decision-theoretic planning. We discuss how to abstract sets of actions, action branches, and sequences of actions...