Abstract Variational mode decomposition (VMD) has been proved to be useful for extraction of fault-induced transients rolling bearings. Multi-bandwidth manifold (Triple M, TM) is one variation the VMD, which units multiple fault-related modes with different bandwidths by a nonlinear learning algorithm named local tangent space alignment (LTSA). The merit TM method that bearing extracted contain...

In this paper we will determine the multiple point manifolds of certain self-transverse immersions in Euclidean spaces. Following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to Dold manifold $V^5$ or a boundary. We will show there is an immersion of $S^7times P^2$ in $mathbb{R}^{1...

commutative properties of four-dimensional generalized symmetric pseudo-riemannian manifolds were considered. specially, in this paper, we studied skew-tsankov and jacobi-tsankov conditions in 4-dimensional pseudo-riemannian generalized symmetric manifolds.

in this paper, we obtain a necessary and sufficient condition for a conformal mapping between two weyl manifolds to preserve einstein tensor. then we prove that some basic curvature tensors of $w_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. also, we obtained the relation between the scalar curvatures of the weyl manifolds r...

Manifold Ranking (MR) is one of the most popular graphbased ranking methods and has been widely used for information retrieval. Due to its ability to capture the geometric structure of the image set, it has been successfully used for image retrieval. The existing approaches that use manifold ranking rely only on a single image manifold. However, such methods may not fully discover the geometric...

The main result of this paper is a homotopy theoretic classification of Legendre immersions from a compact manifold into a contact manifold. The paper also includes normal form theorems for Legendre submanifolds as well as a multi-jet transversality theorem for Legendre

This paper provides describes solution for the fully automatic registration and multi-morphing of surface triangular meshes. It solves the instability problem experienced with non-manifold mesh transformations. A refinement and interpolation of multiple such meshes representing the same object are used to obtain one manifold mesh for later processing. Details can be found in [2].

Multi-atlas segmentation has been widely used to segment various anatomical structures. The success of this technique partly relies on the selection of atlases that are best mapped to a new target image after registration. Recently, manifold learning has been proposed as a method for atlas selection. Each manifold learning technique seeks to optimize a unique objective function. Therefore, diff...

The aim of this paper is to characterize $3$-dimensional $N(k)$-paracontact metric manifolds satisfying certain curvature conditions. We prove that a $3$-dimensional $N(k)$-paracontact metric manifold $M$ admits a Ricci soliton whose potential vector field is the Reeb vector field $xi$ if and only if the manifold is a paraSasaki-Einstein manifold. Several consequences of this result are discuss...

This paper presents a framework to classify motor imagery in the context of multi-class Brain Computer Interface based on electroencephalography (EEG). Covariance matrices are extracted as the EEG signal descriptors, and different dissimilarity metrics on the manifold of Symmetric Positive Definite (SPD) matrices are investigated to classify these covariance descriptors. Specifically, we compar...