Twin support vector machines are a recently proposed learning method for binary classification. They learn two hyperplanes rather than one as in conventional support vector machines and often bring performance improvements. Multiview learning is concerned about learning from multiple distinct feature sets, which aims to exploit distinct views to improve generalization performance. In this paper...

In this paper, a representational model is proposed for the description and transformation of three-dimensional geometric entities in computer graphics. The structure of the proposed representation is based on dual unit vectors, while the corresponding transformations are carried out through dual unit quaternions or dual orthogonal matrices. The main advantage of this representation is its comp...

This paper contains a computational analysis and comparison of various representations of a general rigid body spatial screw displacement. Point transformations and line transformations are treated separately. In the context of point transformations, only a brief summary of the known techniques (i.e., homogeneous transforms and quaternion/vector pairs) and their computational behavior is given....

Abstract: We derive formulas for the cd-index and the toric h-vector of a convex polytope P from a sweeping by a hyperplane. These arise from interpreting the corresponding Sshelling [14] of the dual of P . We describe a partition of the faces of the complete truncation of P to reflect explicitly the nonnegativity of its cd-index and what its components are counting. One corollary is a quick wa...

background and aims: newcastle disease virus (ndv) is one of the major pathogen in poultry. vaccination is intended to control the disease as an effective solution nevertheless this virus is a growing threat to the poultry industry. f gene open reading frame (orf) from ndv is 1650 bp, encoding a protein of 553 amino acids that can induce protective immunity alone. the f glycoprotein on the surf...

In this paper, we study randomized reduction methods, which reduce high-dimensional features into low-dimensional space by randomized methods (e.g., random projection, random hashing), for large-scale high-dimensional classification. Previous theoretical results on randomized reduction methods hinge on strong assumptions about the data, e.g., low rank of the data matrix or a large separable mar...

Dual NURBS interpolation has been proven an essential technique for high-speed precision machining of complex surfaces. The solution rotation angles and their derivatives is the basis kinematic transformation feedrate optimization in dual interpolation. characteristics motion five-axis machine tools with different structures are analyzed. A generic model heads vertical tool established to unify...

We introduce a dispersionless integrable system which interpolates between the dispersionless Kadomtsev–Petviashvili equation and the hyper–CR equation. The interpolating system arises as a symmetry reduction of the anti–self–dual Einstein equations in (2, 2) signature by a conformal Killing vector whose self–dual derivative is null. It also arises as a special case of the Manakov–Santini integ...

We introduce a dispersionless integrable system which interpolates between the dispersionless Kadomtsev–Petviashvili equation and the hyper–CR equation. The interpolating system arises as a symmetry reduction of the anti–self–dual Einstein equations in (2, 2) signature by a conformal Killing vector whose self–dual derivative is null. It also arises as a special case of the Manakov–Santini integ...

We study the question of the existence of a dual extremal function for a bounded matrix function on the unit circle in connection with the problem of approximation by analytic matrix functions. We characterize the class of matrix functions, for which a dual extremal function exists in terms of the existence of a maximizing vector of the corresponding Hankel operator and in terms of certain spec...