The recently discovered \trilinear tensor" has been shown to play a similar role to the \funda-mental" matrix, but with three views instead of two views, in representing the relative motion parameters of an observer moving in the 3D projective world. The issue of a general representation for any number of views remains an open problem. The main result presented here is the closed-form concatena...

This paper reports early results of a 3-year project aiming to establish a knowledge-bank for economic-administrative domains. Special knowledge is embedded in text produced typically by experts, captured in language independent concepts as language specific terminology which is stratified with respect to domain specificity ranging from general shared terms to unique domain-focal terms. KB-N re...

This paper studies the problem of using weighted Ngrams of chord sequences to construct the profile of a composer. The N-gram profile of a chord sequence is the collection of all N-grams appearing in a sequence where each N-gram is given a weight proportional to its beat count. The N-gram profile of a collection of chord sequences is the simple average of the N-gram profile of all the chord seq...

For any n ∈ N such that 2n ≤ min(p, q), we construct a representation πn of O(p, q) with p+q even as the kernel of a commuting set of n(n+1) 2 number of O(p, q)-invariant differential operators in the space of C∞ functions on an isotropic cone with a distinguished GLn(R)-homogeneity degree. By identifying πn with a certain representation constructed via the formalism of the theta correspondence...

Semiorders may form the simplest class of ordered sets with a not necessarily transitive indifference relation. Their generalization has given birth to many other classes of ordered sets, each of them characterized by an interval representation, by the properties of its relations or by forbidden configurations. In this paper, we are interested in preference structures having an interval represe...

Shape representation as the intersection of n ? k hypersurfaces. Shape representation as the intersection of n ? k hypersurfaces. Abstract: We investigate the feasibility of representing implicitly a k-dimensional manifold embedded in the Euclidean space R n as the intersection of n ? k transverse hypersurfaces. From the analytical point of view, the embedded manifold is deened as the inverse i...

The folding structure of the DNA molecule combined with helper molecules, also referred to as the chromatin, is highly relevant for the functional properties of DNA. The chromatin structure is largely determined by the underlying primary DNA sequence, though the interaction is not yet fully understood. In this paper we develop a convolutional neural network that takes an image-representation of...

In this paper, we introduce a novel pictorial approach for solving problems in n-dimensional Euclidean spaces called the n-dimensional projective approach. The projective approach is based on a hierarchical and modular architecture, where its ground module is rooted on geometrical concepts. The result is an effective and consistent spatial approach able to solve problems in ndimensional spaces ...