CUIDADO [16] and ECRINS [7] are new projects which aims at providing content-based music applications . Among these applications is an authoring tool for managing sample databases. It includes search by similarity, search by textual attributes, but also automatic sound classification based on predefined taxonomies and user defined taxonomies. This last point raises a crucial issue concerning th...

In order to overcome the limitation of traditional nonnegative factorization algorithms, the paper presents a generalized discriminant orthogonal non-negative tensor factorization algorithm. At first, the algorithm takes the orthogonal constraint into account to ensure the nonnegativity of the low-dimensional features. Furthermore, the discriminant constraint is imposed on low-dimensional weigh...

fourteen different morphological traits in 169 and 131 cattle of oulmes-zaer and tidili, respectively were recorded and analyzed using a multivariate approach. the characters measured included heart girth, wither height, rump height, rump length, rump width, chest depth, body length, neck length, cannon circumference, ear length, ear width, head length, horn length and tail length. breed signif...

To narrow down the gap between low-level visual features and high-level semantic concepts in content-based image retrieval(CBIR) system, a new dimensionality reduction algorithm called tensor biased discriminant Euclidean embedding (TBDEE) is proposed in this paper. The key idea of this algorithm is as follows: First, the image data are represented with high order tensor structure so that the c...

Linear Discriminant Analysis (LDA) is a popular data-analytic tool for studying the class relationship between data points. A major disadvantage of LDA is that it fails to discover the local geometrical structure of the data manifold. In this paper, we introduce a novel linear algorithm for discriminant analysis, called Locality Sensitive Discriminant Analysis (LSDA).When there is no sufficient...

the ordinary tensor product of modules is defined using bilinear maps (bimorphisms), that are linear in eachcomponent. keeping this in mind, linton and banaschewski with nelson defined and studied the tensor product in an equational category and in a general (concrete) category k, respectively, using bimorphisms, that is, defined via the hom-functor on k. also, the so-called sesquilinear, or on...

A conceptual framework is presented for a unified treatment of issues arising in a variety of predictability studies. The predictive power (PP), a predictability measure based on information–theoretical principles, lies at the center of this framework. The PP is invariant under linear coordinate transformations and applies to multivariate predictions irrespective of assumptions about the probab...

difference aspects of multinomial statistical modelings and its classifications has been studied so far. in these type of problems y is the qualitative random variable with t possible states which are considered as classifications. the goal is prediction of y based on a random vector x ? ir^m. many methods for analyzing these problems were considered. one of the modern and general method of cla...