Results 71 to 80 of about 134,349 (198)
On the Eigenspectrum of the Gram matrix and the generalisation error of kernel PCA [PDF]
, 2004 In this paper we analyze the relationships between the eigenvalues of the m x m Gram matrix K for a kernel k(.,.) corresponding to a sample x1,...,xm drawn from a density p(x) and the eigenvalues of the corresponding continuous eigenproblem. We bound the
Shawe-Taylor, John +3 more
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Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry [PDF]
, 2016 Many physical systems can be described by nonlinear eigenvalues and bifurcation problems with a linear part that is non-selfadjoint e.g. due to the presence of loss and gain.
Tomáš Dohnal +3 more
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Metastability and small eigenvalues in Markov chains [PDF]
, 2000 In this letter we announce rigorous results that elucidate the relation between metastable and low-lying eigenvalues in Markov chains in a much more general setting and with considerable greater precision as was so far available.
Eckhoff, Michael +3 more
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Eigenvalues of the negative Laplacian for arbitrary multiply connected domains
International Journal of Mathematics and Mathematical Sciences, 1996 The purpose of this paper is to derive some interesting asymptotic formulae for spectra of arbitrary multiply connected bounded domains in two or three dimensions, linked with variation of positive distinct functions entering the boundary conditions ...
E. M. E. Zayed
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On higher order eigenvalues of the spherical laplacian operator [PDF]
, 2010 In this paper, we use the boundary measurements of normalized eigenfunctions to estimate the variation of the corresponding eigenvalues. With this form, we can show that some eigenvalues, as functions of domain, possess monotonicity as the domain varies ...
謝忠村; Shieh, Chung-tsun
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Renormalisation of random hierarchial systems [PDF]
, 2003 This thesis considers a number of problems which are related to the study of random fractals. We define a class of iterations (which we call random hierarchical systems) of probability distributions, which are defined by applying a random map to a set of
Jordan, Jonathan., Jordan, Jonathan
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Universal Adjacency Matrices with Two Eigenvalues [PDF]
AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Omidi, G.R., Haemers, W.H.
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On Laplacian eigenvalues of connected graphs [PDF]
, 2015 summary:Let $G$ be an undirected connected graph with $n$, $n\ge 3$, vertices and $m$ edges with Laplacian eigenvalues $\mu _1\ge \mu _2 \ge \cdots \ge \mu _{n-1}>\mu _n =0$. Denote by $\mu _I =\mu _{r_1}+\mu _{r_2} +\cdots +\mu _{r_k}$, $1\le k\le n-2$,
Milovanović, Emina I. +2 more
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Eigenvalues and the diameter of graphs [PDF]
Graphs ...
Dam, E.R. van, Haemers, W.H.
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Inverse Sturm-Liouville problems with fixed boundary conditions
Electronic Journal of Differential Equations, 2015 Necessary and sufficient conditions for two sequences $\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data for a certain Sturm-Liouville problem are well known.
Yuri A. Ashrafyan, Tigran N. Harutyunyan
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