Results 31 to 40 of about 323,246 (272)
A covariance matrix test for high-dimensional data [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2016 For the multivariate normally distributed data with the dimension larger than or equal to the number of observations, or the sample size, called high-dimensional normal data, we proposed a test for testing the null hypothesis that the covariance matrix
Saowapha Chaipitak, Samruam Chongcharoen
doaj +1 more source
A High-Dimensional Counterpart for the Ridge Estimator in Multicollinear Situations
Mathematics, 2021 The ridge regression estimator is a commonly used procedure to deal with multicollinear data. This paper proposes an estimation procedure for high-dimensional multicollinear data that can be alternatively used.
Mohammad Arashi +3 more
doaj +1 more source
Towards a Geometric Approach to Strassen's Asymptotic Rank Conjecture
, 2020 We make a first geometric study of three varieties in $\mathbb{C}^m \otimes \mathbb{C}^m \otimes \mathbb{C}^m$ (for each $m$), including the Zariski closure of the set of tight tensors, the tensors with continuous regular symmetry.
Conner, Austin +4 more
core +1 more source
Complexity of finite Borel asymptotic dimension
Forum of Mathematics, SigmaWe show that the set of locally finite Borel graphs with finite Borel asymptotic dimension is $\boldsymbol {\Sigma }^1_2$ -complete. The result is based on a combinatorial characterization of finite Borel asymptotic dimension for graphs generated ...
Jan Grebík, Cecelia Higgins
doaj +1 more source
Quasinormal Modes of a Charged Black Hole with Scalar Hair
Universe, 2023 Based on the five-dimensional Einstein–Maxwell theory, Bah et al. constructed a singularity-free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)].
Wen-Di Guo, Qin Tan
doaj +1 more source
Topology and its Applications, 2016 The asymptotic dimension \(\text{asdim}\,X\) and the asymptotic Assouad-Nagata dimension \(\text{asdim}_{AN}X\) of a metric space \(X\) have been studied by many authors. In this paper, the authors introduce an analogous concept to these dimensions, named the asymptotic power dimension \(\text{asdim}_{P}X\) of a metric space \(X\), and investigate this
Kucab, Jacek, Zarichnyi, Mykhailo
openaire +2 more sources
AdS3 holography at dimension two
Journal of High Energy Physics, 2019 Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state.
Stefano Giusto +2 more
doaj +1 more source
Hyperbolic groups have finite asymptotic dimension [PDF]
Proceedings of the American Mathematical Society, 2005 Summary: We detail a proof of a result of Gromov, that hyperbolic groups (and metric spaces) have finite asymptotic dimension. This fact has become important in recent work on the Novikov conjecture.
openaire +1 more source
IEEE Access, 2019 This paper addresses the asymptotic behavior of a particular type of information-plus-noise-type matrices, where the column and row numbers of the matrices are large and of the same order, while signals have diverged and the time delays of the channel ...
Guanping Lu +3 more
doaj +1 more source
On asymptotic dimension of groups [PDF]
Algebraic & Geometric Topology, 2001 We prove a version of the countable union theorem for asymptotic dimension and we apply it to groups acting on asymptotically finite dimensional metric spaces. As a consequence we obtain the following finite dimensionality theorems. A) An amalgamated product of asymptotically finite dimensional groups has finite asymptotic dimension: asdim A *_C B <
Bell, G, Dranishnikov, Alexander N
openaire +3 more sources