A simple way of obtaining multivariate wavelets is the tensor product of univariate wavelets. Multivariate wavelets are of interest in both theory and application. In this paper, we study the projection method, an inverse operation in some sense to the tensor product method, to investigate various properties of multivariate refinable function vectors and multivariate multiwavelets. To illustrat...

We generalize the grid–projection method for the construction of quasiperiodic tilings. A rather general fundamental domain of the associated higher dimensional lattice is used for the construction of the acceptance region. The arbitrariness of the fundamental domain allows for a choice which obeys all the symmetries of the lattice, which is important for the construction of tilings with a give...

In this work we will give explicit formulae for the application of Rosen’s gradient projection method to SVM training that leads to a very simple implementation. We shall experimentally show that the method provides good descent directions that result in less training iterations, particularly when large precision is wanted. However, a naive kernelization may end up in a procedure requiring more...

Two decades of research shows that Principle Component Analysis is effective and convenient for representation and recognition of human face images. It is a kind of subspace method. Many successful face recognition algorithms follow the subspace method and try to find better subspaces for face recognition. In this paper, we present the projection incorporated subspace method based on PCA. This ...

Abstract: A brief history and a mathematical description of the dynamic projection operators technique is presented. An example of the general Cauchy problem for evolution equations in 1+1 dimensions is studied in detail. A boundary regime propagation is formulated in terms of operators and illustrated by the simplest one-dimensional diffusion equation. The problem of temperature waves is discu...

where S is a nonempty closed convex subset o f R ' , f is a mapp ing f rom R" into itself, and ( . , .) denotes the inner p roduc t in R n. This problem is commonly called the variational inequality problem and has proved to be very useful in dealing with a variety o f equilibrium models. As in the cases o f nonl inear equat ions and nonl inear opt imizat ion problems, solutions o f problem (1)...

In this paper we present a simple and robust random projection method for underresolved numerical simulation of stii detonation waves in chemically reacting ows. This method is based on the random projection method proposed by the authors for general hyperbolic systems with stii reaction terms 1], where the ignition temperature is randomized in a suitable domain. It is simpliied using the equat...

In this poster a new approach for scalable behavioral based malware classification is presented. It is based on the random projection method which is an efficient, effective yet simple dimensionality reduction method. Interestingly, however, the random projection method has not – to the authors’ best knowledge – ever been investigated for its possible usefulness for the malware classification p...