Results 131 to 140 of about 274,693 (175)
Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh +3 more
wiley +1 more source
The diagonal dimension of sub‐C∗$\mathrm{C}^*$‐algebras
Proceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.Abstract We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C∗$\text{sub-}\mathrm{C}^*$‐algebras (sometimes also referred to as diagonal C∗$\mathrm{C}^*$‐pairs). Our concept has good permanence properties and detects more refined information than nuclear dimension.
Kang Li +2 more
wiley +1 more source
Canonical forms for pairs of matrices associated with Lagrangian and Dirac subspaces
We derive the canonical forms for a pair of $n\times n$ complex matrices $(E,Q)$ under transformations $(E,Q) \rightarrow (UEV,U^{-T}QV)$, and $(E,Q) \rightarrow (UEV,U^{-*}QV)$, where $U$ and $V$ are nonsingular complex matrices. We, in particular, consider the special cases of $E^TQ$ and $E^*Q$ being (skew-)symmetric and (skew-)Hermitian ...
Das, Sweta +2 more
openaire +2 more sources
Comparison of Two Factor Subspaces
Chen and Robinson's (J. Multivariate Anal.8 190-203 (1989)) recent method of comparison of factors spaces of two related populations is formalized and extended to the case of sums of eigenspaces of two compact self-adjoint operators. The factor subspaces
Dauxois, J., Romain, Y., Viguier, S.
core
Incremental Learning of Locally Orthogonal Subspaces For Set-Based . . .
, 2006 Orthogonal subspaces are effective models to represent object image sets (generally any high-dimensional vector sets). Canonical correlation analysis of the orthogonal subspaces provides a good solution to discriminate objects with sets of images.
Josef Kittler +2 more
core
Classi fication of monogenic invariant subspaces and uniparametric linear control systems
The classification of the invariant subspaces of an endomorphism has been an open problem for a long time, and it is a ”wild” problem in the general case. Here we obtain a full classification for the monogenic ones.
Compta Creus, Albert, Ferrer Llop, Josep
core
Random Subspace Analysis on Canonical Correlation of High Dimensional Data
, 2016 High dimensional, low sample, data have singular sample covariance matrices,rendering them impossible to analyse by regular canonical correlation (CC). Byusing random subspace method (RSM) calculation of canonical correlation be-comes possible, and a Monte Carlo analysis shows resulting maximal CC canreliably distinguish between data with true ...
openaire +1 more source
Robust probabilistic canonical correlations for stochastic subspace identification
, 2022 O'Connell, B.J. +2 more
openaire +1 more source
Solution of the reconstruction-of-the-measure problem for canonical invariant subspaces [PDF]
Annali Di Matematica Pura Ed Applicata, 2021 We study the Reconstruction-of-the-Measure Problem (ROMP) for commuting 2-variable weighted shifts $W_{(α,β)}$, when the initial data are given as the Berger measure of the restriction of $W_{(α,β)}$ to a canonical invariant subspace, together with the marginal measures for the 0-th row and 0-th column in the weight diagram for $W_{(α,β)}$.
Raúl E. Curto, Jasang Yoon
exaly +6 more sources
Canonical relations of subspaces in multi-sensor data analysis
2014 22nd Signal Processing and Communications Applications Conference (SIU), 2014 In multisensor data analysis, scene details can be extracted via subspace methods without any prior information on the scene. In these decomposition techniques, data is projected into a new space so that the information in the data is highlighted. In this study, Principal Component Analysis, Independent Component Analysis and Minumum Noise Fractions ...
Ozkazanc, Yakup, Polat, Ozgur Murat
exaly +5 more sources