Manifolds
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Recent papers in Manifolds
We investigate the use of the Riemannianoptimization method over the flag manifold in subspace ICA problems such as in-dependent subspace analysis (ISA) and complex ICA. In the ISA experiment, we use the Riemannian approach over the flag... more
Motivated by an application in computational geometry, we consider a novel variant of the problem of efficiently maintaining a forest of dynamic rooted trees. This variant includes an operation that merges two tree paths. In contrast to... more
Musical genres are categorical labels characterizing pieces of music. Automatically classifying music into genres is gaining importance as a way to structure and organize the increasingly large numbers of music files available digitally... more
We describe an object oriented MATLAB toolbox for solving di erential equations on manifolds. The software re ects recent development within the area of geometric integration. Through the use of elements from di erential geometry, in... more
It is known since the early Sixties that descriptive equa-tions of electrical circuits belong to the class of differential equations on differentiable manifolds. This result is related to the celebrated paper of Moser and Brayton [1] in... more
... Examples of such application areas arise in biological systems, image processing, medical imaging, mathematical ... of the surface PDE, and involves only the standard Cartesian differential operators. ... algorithms of Strain [25] or... more
The question, which shapes can be digitized without any change in the fundamental geometric and topological properties is of great importance for the reliability of image analysis algorithms, but is nevertheless unanswered for a lot of... more
A good distance metric is crucial for unsupervised learning from high-dimensional data. To learn a metric without any constraint or class label information, most unsupervised metric learning algorithms appeal to projecting observed data... more
Let E be an ample vector bundle of rank r≥ 2 on a smooth complex projective variety X of dimension n. The aim of this paper is to describe the structure of pairs (X,E) as above whose adjoint bundles K_X+E are not nef for r=n-3.... more
A model-based control scheme is designed to regulate the cylinder air charge of a camless multicylinder engine for unthrottled operation. The controller consists of a feedforward and an adaptive feedback scheme based on a control-oriented... more
Let M be a smooth compact oriented Riemannian manifold, and let Δ M be the Laplace–Beltrami operator on M. Say $${0 \neq f \in \mathcal{S}(\mathbb {R}^+)}$$ , and that f (0) = 0. For t > 0, let K t (x, y) denote the kernel of f (t... more
Let M be a smooth compact oriented Riemannian manifold, and let Δ_ M be the Laplace-Beltrami operator on M. Say 0 ≠ f ∈S(^+), and that f(0) = 0. For t > 0, let K_t(x,y) denote the kernel of f(t^2 Δ_ M). We show that K_t is... more
In this work we investigate the existence and the uniqueness of solution for a nonlinear differential equation of parabolic type on the lateral boundary Σ of a cylinder Q, cf. (1). An important part of our study is to transform this... more
This paper presents a summary of space mapping optimization application for the design of microwave devices used in satellite systems. Output multiplexers and switches are essential components of satellite systems. They are considered... more
Let M be a smooth compact oriented Riemannian manifold, and let Δ_ M be the Laplace-Beltrami operator on M. Say 0 ≠ f ∈S(^+), and that f(0) = 0. For t > 0, let K_t(x,y) denote the kernel of f(t^2 Δ_ M). We show that K_t is... more
ABSTRACT In this paper, we propose a method to match multitemporal sequences of hyperspectral images using Hidden Markov Random Fields. Based on the matching of the data manifold, the algorithm matches the reflectance spectra of the... more