Results 91 to 100 of about 5,495,109 (374)
Toward a unified theory of sparse dimensionality reduction in Euclidean space [PDF]
Symposium on the Theory of Computing, 2013 Let $${\Phi\in\mathbb{R}^{m\times n}}$$Φ∈Rm×n be a sparse Johnson–Lindenstrauss transform (Kane and Nelson in J ACM 61(1):4, 2014) with s non-zeroes per column.
J. Bourgain, S. Dirksen, Jelani Nelson
semanticscholar +1 more source
A characterization of light open maps of Euclidean spaces into Euclidean spaces [PDF]
Proceedings of the American Mathematical Society, 1958 We will use the term open map to mean a map f of X into Y such that f(U) is open in Y for every open set U in X. A map f of Rn (Euclidean n-space) into Rm is pseudo-monotone if and only if Rn_ -f(X) has no bounded component for every closed set X in Rn such that Rm -X has no bounded component.
openaire +1 more source
A nonamenable “factor” of a Euclidean space
The Annals of Probability, 2021 23 pages, 4 ...
openaire +5 more sources
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Background Tumor segmentation is crucial for lung disease diagnosis and treatment. Most existing deep learning‐based automatic segmentation methods rely on manually annotated data for network training. Purpose This study aims to develop an unsupervised tumor segmentation network smic‐GAN by using a similarity‐driven generative adversarial ...
Chengyijue Fang +2 more
wiley +1 more source
Quantum Dynamics on the three-dimensional q-deformed Euclidean Space [PDF]
arXiv, 2020 I extend the three-dimensional q-deformed Euclidean space by a time element and discuss the algebraic structure of this quantum space together with its differential calculi. Using the star-product formalism, I will give basic operations of q-deformed analysis for the q-deformed Euclidean space with a time element.
arxiv
Cwikel estimates revisited [PDF]
, 2017 In this paper, we propose a new approach to Cwikel estimates both for the Euclidean space and for the noncommutative Euclidean space.
arxiv +1 more source
Subthalamic Nucleus Oscillatory Characteristics in Meige, Cervical Dystonia and Generalized Dystonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Deep brain stimulation offers a unique opportunity to record neural activity of the basal ganglia. While much work in dystonia has focused on the globus pallidus internus, expanding research to investigate subthalamic nucleus (STN) activity in various dystonia types is critical to provide a comprehensive understanding of dystonia ...
Zhu Guan‐Yu +14 more
wiley +1 more source
Realization of the Three-dimensional Quantum Euclidean Space by Differential Operators
, 2000 The three-dimensional quantum Euclidean space is an example of a non-commutative space that is obtained from Euclidean space by $q$-deformation. Simultaneously, angular momentum is deformed to $so_q(3)$, it acts on the $q$-Euclidean space that becomes a $
D- München +4 more
core +2 more sources
On translation surfaces in 4-dimensional Euclidean space
, 2016 We consider translation surfaces in Euclidean spaces. Firstly, we give some results of translation surfaces in the 3-dimensional Euclidean space E 3 . Further, we consider translation surfaces in the 4-dimensional Euclidean space E 4 .
K. Arslan +3 more
semanticscholar +1 more source
Proper biconservative immersions into the Euclidean space [PDF]
, 2013 In this paper, using the framework of equivariant differential geometry, we study proper $$\hbox {SO}(p+1) \times \hbox {SO}(q+1)$$SO(p+1)×SO(q+1)-invariant biconservative hypersurfaces into the Euclidean space $${\mathbb {R}}^n$$Rn ($$n=p+q+2$$n=p+q+2 ...
S. Montaldo, C. Oniciuc, A. Ratto
semanticscholar +1 more source