In many engineering and scientific applications, prediction variables are grouped, for example, in biological applications where assayed genes or proteins can be grouped by biological roles or biological pathways. Common statistical analysis methods such as ANOVA, factor analysis, and functional modeling with basis sets also exhibit natural variable groupings. Existing successful group variable...

In this paper, a variable-coefficient Korteweg-de Vries (vcKdV) equation which was proposed to describe the propagation of weakly nonlinear waves in water of variable depth is investigated in detail. Firstly, the Lie point symmetries and some group invariant solutions of this equation are presented. Furthermore, the integrability property of this variable-coefficient equation is studied followi...

purpose: the aim of this paper is to survey the rate of the precision in the audio and visual material retrieval by clustering techniques and k- means algorithm. methodology: the type of the research method is experimental. for the purpose of this paper, twenty- three albums are studied directly through observation. albums published in summer 1391(solar). songs catalogs according to pbcore meta...

In this paper, we describe a method of generating harmonic progressions using case-based analysis of existing material that employs a variable-order Markov model. Using a unique method for quantifying harmonic complexity and tension between chord transitions, as well as specifying a desired bass-line, the user specifies a 3 dimensional vector, which the realtime generative algorithm attempts to...

This thesis is concerned with non-parametric non-rigid image registration. Here, a vector field of displacements is searched such that each position in one image is mapped onto a corresponding position in the other image. Motivated by medical examples where after registration anatomical structures are deformed in a non-physical way, the overall aim lies in the incorporation of spatially varying...

Due to the enhanced piezoelectric properties, excellent mechanical properties and tunable electric properties, one-dimensional (1D) piezoelectric materials have shown their promising applications in nanogenerators (NG), sensors, actuators, electronic devices etc. To present a clear view about 1D piezoelectric materials, this review mainly focuses on the characterization and optimization of the ...