Fetching the paper…
Reading the bibliography…
Computation of the trace of a matrix function plays an important role in many scientific computing applications, including applications in machine learning, computational physics (e.g., lattice quantum chromodynamics), network analysis and computational biology (e.g., protein folding), just to name a few application areas.
Uber die abgrenzung der eigenwerte einer matrix
Gershgorin, S. A. (1931) · 1931
Earlier work this paper cites.
Covariance selection
Dempster, A. P. (1972) · 1972
Earlier work this paper cites.
A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines
Hutchinson, M. (1989) · 1989
Earlier work this paper cites.
Some large-scale matrix computation problems
Bai, Z., Fahey, G., and Golub, G. (1996) · 1996
Earlier work this paper cites.
Efficient approximation algorithms for semidefinite programs arising from max cut and coloring
Klein, P. and Lu, H.-I. (1996) · 1996
Earlier work this paper cites.
Computing an eigenvector with inverse iteration
Ipsen, I. C. (1997) · 1997
Earlier work this paper cites.
Characterization of 3D molecular structure
Estrada, E. (2000) · 2000
Earlier work this paper cites.
Chebyshev polynomials
Mason, J. C. and Handscomb, D. C. (2002) · 2002
Earlier work this paper cites.
Barycentric Lagrange Interpolation
Berrut, J. P. and Trefethen, L. N. (2004) · 2004
Earlier work this paper cites.
Chebyshev approximation of log-determinants of spatial weight matrices
Pace, R. K. and LeSage, J. P. (2004) · 2004
Earlier work this paper cites.
Spectral measures of bipartivity in complex networks
Estrada, E. and Rodríguez-Velázquez, J. A. (2005) · 2005
Earlier work this paper cites.
Gaussian processes for machine learning
Rasmussen, C. E. and Williams, C. (2005) · 2005
Earlier work this paper cites.
Gaussian Markov random fields: theory and applications
Rue, H. and Held, L. (2005) · 2005
Earlier work this paper cites.
Low-rank variance estimation in large-scale GMRF models
Malioutov, D. M., Johnson, J. K., and Willsky, A. (2006) · 2006
Earlier work this paper cites.
An estimator for the diagonal of a matrix
Bekas, C., Kokiopoulou, E., and Saad, Y. (2007) · 2007
Earlier work this paper cites.
Information-theoretic metric learning
Davis, J., Kulis, B., Jain, P., Sra, S., and Dhillon, I. (2007) · 2007
Earlier work this paper cites.
Estimating the Estrada index
de la Peña, J. A., Gutman, I., and Rada, J. (2007) · 2007
Cited alongside, same era.
Topological structural classes of complex networks
Estrada, E. (2007) · 2007
Cited alongside, same era.
Statistical-mechanical approach to subgraph centrality in complex networks
Estrada, E. and Hatano, N. (2007) · 2007
Cited alongside, same era.
Approximate implementation of the logarithm of the matrix determinant in Gaussian process regression
Zhang, Y. and Leithead, W. E. (2007) · 2007
Cited alongside, same era.
Smooth function topological structure descriptors based on graph-spectra
Carbó-Dorca, R. (2008) · 2008
Cited alongside, same era.
Atom–bond connectivity and the energetic of branched alkanes
Estrada, E. (2008) · 2008
An algorithm for sparse MRI reconstruction by Schatten p-norm minimization
Majumdar, A. and Ward, R. K. (2011) · 2011
Later among the works it cites.
Matrix computations
Golub, G. H. and Van Loan, C. F. (2012) · 2012
Later among the works it cites.
Low-rank matrix recovery via efficient Schatten p-norm minimization
Nie, F., Huang, H., and Ding, C. (2012) · 2012
Later among the works it cites.
Approximation Theory and Approximation Practice (Other Titles in Applied Mathematics)
Trefethen, L. N. (2012) · 2012
Later among the works it cites.
Efficient estimation of eigenvalue counts in an interval
Di Napoli, E., Polizzi, E., and Saad, Y. (2013) · 2013
Later among the works it cites.
BIG & QUIC: Sparse inverse covariance estimation for a million variables
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Functions of Matrices
Higham, N. (2008) · 2008
Cited alongside, same era.
Bounds for norms of the matrix inverse and the smallest singular value
Morača, N. (2008) · 2008
Cited alongside, same era.
Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
Tao, T. and Vu, V. H. (2009) · 2009
Cited alongside, same era.
Minimum volume ellipsoid
Van Aelst, S. and Rousseeuw, P. (2009) · 2009
Cited alongside, same era.
Random matrices: The distribution of the smallest singular values
Tao, T. and Vu, V. (2010) · 2010
Cited alongside, same era.
Error bounds for approximation in Chebyshev points
Xiang, S., Chen, X., and Wang, H. (2010) · 2010
Cited alongside, same era.
Hsieh, C., Sustik, M. A., Dhillon, I. S., Ravikumar, P. K., and Poldrack, R. (2013) · 2013
Later among the works it cites.
Accelerating data uncertainty quantification by solving linear systems with multiple right-hand sides
Kalantzis, V., Bekas, C., Curioni, A., and Gallopoulos, E. (2013) · 2013
Later among the works it cites.
Estimating the partition function of graphical models using Langevin importance sampling
Ma, J., Peng, J., Wang, S., and Xu, J. (2013) · 2013
Later among the works it cites.
Hierarchical probing for estimating the trace of the matrix inverse on toroidal lattices
Stathopoulos, A., Laeuchli, J., and Orginos, K. (2013) · 2013
Later among the works it cites.
Stochastic approximation of score functions for Gaussian processes
Stein, M. L., Chen, J., and Anitescu, M. (2013) · 2013
Later among the works it cites.
Parameter estimation in high dimensional Gaussian distributions
Aune, E., Simpson, D., and Eidsvik, J. (2014) · 2014
Later among the works it cites.
A Randomized Algorithm for Approximating the Log Determinant of a Symmetric Positive Definite Matrix
Boutsidis, C., Drineas, P., Kambadur, P., and Zouzias, A. (2015) · 2015
Later among the works it cites.
Improved bounds on sample size for implicit matrix trace estimators
Roosta-Khorasani, F. and Ascher, U. M. (2015) · 2015
Later among the works it cites.
How accurately should I compute implicit matrix-vector products when applying the Hutchinson trace estimator?
Chen, J. (2016) · 2016
Closest in time.
Estimating the trace of the matrix inverse by interpolating from the diagonal of an approximate inverse
Wu, L., Laeuchli, J., Kalantzis, V., Stathopoulos, A., and Gallopoulos, E. (2016) · 2016
Closest in time.
Log-determinant relaxation for approximate inference in discrete Markov random fields
Wainwright, M. J. and Jordan, M. I. (2006) · 2099
Closest in time.