{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T13:28:31Z","timestamp":1765546111551,"version":"3.40.3"},"publisher-location":"Cham","reference-count":12,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319325569"},{"type":"electronic","value":"9783319325576"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-32557-6_12","type":"book-chapter","created":{"date-parts":[[2016,7,19]],"date-time":"2016-07-19T10:17:13Z","timestamp":1468923433000},"page":"120-125","source":"Crossref","is-referenced-by-count":1,"title":["Large-Scale Log-Determinant Computation via\u00a0Weighted $$L_2$$ Polynomial Approximation with\u00a0Prior Distribution of Eigenvalues"],"prefix":"10.1007","author":[{"given":"Wei","family":"Peng","sequence":"first","affiliation":[]},{"given":"Hongxia","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,7,20]]},"reference":[{"issue":"2","key":"12_CR1","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1145\/1944345.1944349","volume":"58","author":"H Avron","year":"2011","unstructured":"Avron, H., Toledo, S.: Randomized algorithms for estimating the trace of an implicit symmetric positive semi-definite matrix. J. ACM (JACM) 58(2), 8 (2011)","journal-title":"J. ACM (JACM)"},{"unstructured":"Boutsidis, C., et al.: A randomized algorithm for approximating the log determinant of a symmetric positive definite matrix. arXiv preprint (2015). arXiv:1503.00374","key":"12_CR2"},{"unstructured":"Han, I., Malioutov, D., Shin, J.: Large-scale log-determinant computation through stochastic chebyshev expansions. arXiv preprint (2015). arXiv:1503.06394","key":"12_CR3"},{"doi-asserted-by":"crossref","unstructured":"Leithead, W.E., Zhang, Y., Leith, D.J.: Efficient gaussian process based on BFGS updating and logdet approximation. In: The 16th IFAC World Congress (2005)","key":"12_CR4","DOI":"10.3182\/20050703-6-CZ-1902.00218"},{"issue":"1","key":"12_CR5","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/j.cam.2007.08.012","volume":"220","author":"Y Zhang","year":"2008","unstructured":"Zhang, Y., et al.: Log-det approximation based on uniformly distributed seeds and its application to Gaussian process regression. J. Comput. Appl. Math. 220(1), 198\u2013214 (2008)","journal-title":"J. Comput. Appl. Math."},{"unstructured":"Kambadur, P., Lozano, A.: A parallel, block greedy method for sparse inverse covariance estimation for ultra-high dimensions. In: Proceedings of the Sixteenth International Conference on Artificial Intelligence and Statistics (2013)","key":"12_CR6"},{"issue":"3","key":"12_CR7","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1093\/biostatistics\/kxm045","volume":"9","author":"J Friedman","year":"2008","unstructured":"Friedman, J., Hastie, T., Tibshirani, R.: Sparse inverse covariance estimation with the graphical lasso. Biostatistics 9(3), 432\u2013441 (2008)","journal-title":"Biostatistics"},{"issue":"1","key":"12_CR8","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/S0024-3795(97)10009-X","volume":"289","author":"RP Barry","year":"1999","unstructured":"Barry, R.P., Pace, R.K.: Monte Carlo estimates of the log determinant of large sparse matrices. Linear Algebra Appl. 289(1), 41\u201354 (1999)","journal-title":"Linear Algebra Appl."},{"unstructured":"Hunter, T., El Alaoui, A., Bayen, A.: Computing the log-determinant of symmetric, diagonally dominant matrices in near-linear time. arXiv preprint (2014). arXiv:1408.1693","key":"12_CR9"},{"issue":"3","key":"12_CR10","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1137\/S089547980036869X","volume":"23","author":"A Reusken","year":"2002","unstructured":"Reusken, A.: Approximation of the determinant of large sparse symmetric positive definite matrices. SIAM J. Matrix Anal. Appl. 23(3), 799\u2013818 (2002)","journal-title":"SIAM J. Matrix Anal. Appl."},{"unstructured":"Szego, G.: Jacobi polynomials. In: Orthogonal Polynomials, 4th edn, Chap. 5. American Mathematical Society, Providence (1975)","key":"12_CR11"},{"unstructured":"Evans, M., Hastings, N., Peacock, B.: Beta distribution. In: Statistical Distributions, 3rd ed, Chap. 5, pp. 34\u201342. Wiley, New York (2000)","key":"12_CR12"}],"container-title":["Lecture Notes in Computer Science","High Performance Computing and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-32557-6_12","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T14:43:55Z","timestamp":1498315435000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-32557-6_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319325569","9783319325576"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-32557-6_12","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]}}}