Explicit expressions for Virasoro singular vectors
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DOI: 10.1007/jhep04(2025)131
Abstract: We present two explicit expressions for generic singular vectors of type (r, s) of the Virasoro algebra. These results follow from the paper of Bauer et al. which presented recursive methods to construct the vectors.… read more here.
Keywords: virasoro singular; algebra; expressions virasoro; explicit expressions ... See more keywords
Accuracy of singular vectors obtained by projection-based SVD methods
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DOI: 10.1007/s10543-017-0665-x
Abstract: The standard approach to computing an approximate SVD of a large-scale matrix is to project it onto lower-dimensional trial subspaces from both sides, compute the SVD of the small projected matrix, and project it back… read more here.
Keywords: accuracy singular; projection based; obtained projection; singular vectors ... See more keywords
Singular vectors on manifolds and fractals
Sign Up to like & getrecommendations! Published in 2021 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-021-2220-3
Abstract: We generalize Khintchine's method of constructing totally irrational singular vectors and linear forms. The main result of the paper shows existence of totally irrational vectors and linear forms with large uniform Diophantine exponents on certain… read more here.
Keywords: vectors manifolds; manifolds fractals; singular vectors;
Applicability of Ensemble Singular Vectors to a Mesoscale Convective System Over the East China Sea
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DOI: 10.1029/2024gl114502
Abstract: This study investigates the effectiveness of ensemble singular vectors (EnSVs) for a mesoscale convective system over the East China Sea, a challenge due to its strong nonlinearity. Employing breeding ensembles with varying horizontal resolutions, we… read more here.
Keywords: ensemble singular; east china; convective system; system east ... See more keywords
Systematic calculation of finite-time mixed singular vectors and characterization of error growth for persistent coherent atmospheric disturbances over Eurasia.
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DOI: 10.1063/5.0066150
Abstract: Singular vectors (SVs) have long been employed in the initialization of ensemble numerical weather prediction (NWP) in order to capture the structural organization and growth rates of those perturbations or "errors" associated with initial condition… read more here.
Keywords: finite time; time mixed; singular vectors; calculation ... See more keywords
Entrywise Estimation of Singular Vectors of Low-Rank Matrices with Heteroskedasticity and Dependence
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DOI: 10.1109/tit.2022.3159085
Abstract: We propose an estimator for the singular vectors of high-dimensional low-rank matrices corrupted by additive subgaussian noise, where the noise matrix is allowed to have dependence within rows and heteroskedasticity between them. We prove finite-sample… read more here.
Keywords: noise; dependence; singular vectors; rank matrices ... See more keywords