Results 21 to 30 of about 64,208 (273)
Density estimation on an unknown submanifold [PDF]
, 2019 We investigate density estimation from a $n$-sample in the Euclidean space $\mathbb R^D$, when the data is supported by an unknown submanifold $M$ of possibly unknown dimension $d < D$ under a reach condition.
Cl'ement Berenfeld, M. Hoffmann
semanticscholar +1 more source
Submanifold geometry in symmetric spaces of noncompact type [PDF]
São Paulo Journal of Mathematical Sciences, 2019 In this survey article we provide an introduction to submanifold geometry in symmetric spaces of noncompact type. We focus on the construction of examples and the classification problems of homogeneous and isoparametric hypersurfaces, polar and ...
J. Díaz-Ramos +2 more
semanticscholar +1 more source
Bulletin of the London Mathematical Society, 2006 Comment: Revised for referee's ...
Colding, Tobias H. +1 more
openaire +2 more sources
SUBMANIFOLD SPARSE CONVOLUTIONAL NETWORKS
Submissions to the 2019 Kidney Tumor Segmentation Challenge: KiTS19, 2019 We present method for effective kidney and kidney’s tumor segmentation based on the 3-dimensional model reconstructed from the computed tomography (CT) input images. Analysis of the 3D model is done using submanifold sparse convolutional network (SSCN).
Dmitry Retinskiy
semanticscholar +1 more source
SUBMANIFOLD SPARSE CONVOLUTIONAL NETWORKS FOR SEMANTIC SEGMENTATION OF LARGE-SCALE ALS POINT CLOUDS
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2019 . Semantic segmentation of point clouds is one of the main steps in automated processing of data from Airborne Laser Scanning (ALS). Established methods usually require expensive calculation of handcrafted, point-wise features. In contrast, Convolutional
S. Schmohl, U. Sörgel
semanticscholar +1 more source
Real submanifolds of maximum complex tangent space at a CR singular point [PDF]
, 2014 We study a germ of real analytic $n$-dimensional submanifold of ${\mathbf C}^n$ that has a complex tangent space of maximal dimension at a CR singularity. Under the condition that its complexification admits the maximum number of deck transformations, we
Gong, Xianghong, Stolovitch, Laurent
core +8 more sources
A New Algebraic Inequality and Some Applications in Submanifold Theory
Mathematics, 2021 We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Radu-Ioan Mihai
doaj +1 more source
, 2020 We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G$_2$ and Spin(7) manifolds, and describe fundamental results and techniques in the field.
openaire +2 more sources
A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
Axioms, 2019 A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
doaj +1 more source
Mathematics, 2021 The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
Hülya Aytimur +2 more
doaj +1 more source