Nonlinear dimensionality reduction is an active area of research. In this paper, we present a thematically different approach to detect low-dimensional manifold that lies within set bounds derived from given point cloud. A matrix representing distances on low-rank, and our method based current low-rank Matrix Completion (MC) techniques for recovering partially observed fully entries. MC methods...

In this paper we discuss the designs of 2-channel orthogonal near symmetric wavelets on the one hand, and the symmetric near orthogonal wavelets on the other. In both types of wavelets we use the Gröbner bases design approach and present examples of both cases. ةــصلاخلا ةهج نم نيتانـق تاذ ةلـثامتملا هبش ةدماعتملا ةريّـغصلا تاجوملا ميمصت ثحبلا اذه يف شـقانـنُ فوس تاجوملا يعون لاك يف لمعتسن فوسو ....

We set up a general framework to study the bifurcations of nearly degenerate modes of a Maxwell-Bloch laser model, and we apply it specifically to the study of interactions of two modes of a laser with broken circular symmetry. We use an explicit centre manifold reduction to analyse the behaviour of this laser. Complex bifur-cation sequences involving single mode solutions, mode locking and mod...

We calculate the Chern classes and Chern numbers for the natural almost Hermitian structures of the partial flag manifolds Fn = SU(n + 2)/S(U(n) × U(1) × U(1)). For all n > 1 there are two invariant complex algebraic structures, which arise from the projectivizations of the holomorphic tangent and cotangent bundles of CP. The projectivization of the cotangent bundle is the twistor space of a Gr...

ω(Ju, Jv) = ω(u, v) and ω(·, J ·) ≫ 0. The combination thus defines an associated Riemannian metric β(·, ·) = ω(·, J ·). Any symplectic manifold possesses such a structure. We will assume further that ω is ‘integral’ in the cohomological sense. This means we can find a complex hermitian line bundle L → X with hermitian connection ∇ whose curvature is −iω. Recently, beginning with Donaldson’s se...

This paper is concerned with parameterized families of approximate fibrations from a compact Hilbert cube manifold M to a compact polyhedron B. The main result shows how to straighten out certain of these families to be nearly like a product. As an application of this technique, it is shown that an approximate fibration p:M +B can be approximated arbitrarily closely by bundle maps if and only i...

We present an add-on for the Android platform, capable of intercepting nearly all interactions between apps or apps with the platform, including arguments of method invocations in a human-readable format. A preliminary performance evaluation shows that the performance penalty of our solution is roughly comparable with similar tools in that area. The advantage of our solution, however, is that i...