On the properties of Gram matrix

V Sreeram, P Agathoklis - IEEE Transactions on Circuits and …, 1994 - ieeexplore.ieee.org
Gram matrix are presented. Based on these properties new techniques for the computation
of Gram matrix … terms: Gram matrix, reciprocal system, impulse-response Gramian, Markov …

Detecting out-of-distribution examples with gram matrices

CS Sastry, S Oore - International Conference on Machine …, 2020 - proceedings.mlr.press
… activity patterns by Gram matrices and identifying anomalies in Gram matrix values can yield
high OOD detection rates. We identify anomalies in the Gram matrices by simply comparing …

On the eigenspectrum of the Gram matrix and the generalization error of kernel-PCA

J Shawe-Taylor, CKI Williams… - IEEE Transactions …, 2005 - ieeexplore.ieee.org
… concentration of sums of eigenvalues of a Gram matrix gained from a finite sample of vectors,
Gram matrix and those of the underlying process. For a given kernel function and density …

[PDF][PDF] On the Nyström Method for Approximating a Gram Matrix for Improved Kernel-Based Learning.

P Drineas, MW Mahoney, N Cristianini - journal of machine learning …, 2005 - jmlr.org
… In addition to developing and analyzing an algorithm which provides a provably good
decomposition of a Gram matrix, which may then be used to speed up kernel-based learning …

On the use of Gram matrix in observability analysis

MC de Almeida, EN Asada… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
… ) system is carried out analyzing the pivots of the Gram matrix. The Gram matrix can also be
used to verify local redundancy, which is … Others features of the Gram matrix are under study. …

Spectral analysis of the gram matrix of mixture models

F Benaych-Georges, R Couillet - ESAIM: Probability and Statistics, 2016 - numdam.org
… of the Gram matrix WTW built upon a collection w1,...,wn ∈ Rp … are some non negative definite
p×p matrices. The cardinality na of class Ca … In this article, we consider the Gram matrix W …

The condition of gram matrices and related problems

JM Taylor - Proceedings of the Royal Society of Edinburgh Section …, 1978 - cambridge.org
Gram matrix for this basis, and is Hermitian positive definite. If we denote by cr(A) the spectrum
(set of eigenvalues) of the matrix A … for the P-condition number of the Gram matrix (1.4) is …

Minimizing the condition number of a Gram matrix

X Chen, RS Womersley, JJ Ye - SIAM Journal on optimization, 2011 - SIAM
… , we report numerical results for the Gram matrix defined by the weighted Vandermonde-like
matrix for least squares approximation on an interval and for the Gram matrix defined by an …

Approximating a gram matrix for improved kernel-based learning

P Drineas, MW Mahoney - International Conference on Computational …, 2005 - Springer
Gram matrix is sparse, in which case sparse matrix computation methods may be used, in
other applications the Gram matrix is … that compute such an approximation to a Gram matrix G. …

A novel geometric framework on gram matrix trajectories for human behavior understanding

A Kacem, M Daoudi, BB Amor, S Berretti… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
matrices of rank d. For a detailed discussion of the relation between positive semidefinite
matrices, Gram matrices, and square-distance matrices, … the space of these matrices, called the …