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Rybicki Press algorithm
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<h2 id="see-also">See also</h2> <ul><li><a href="/facts/Invertible_matrix/fPqXk3V8">Invertible matrix</a></li> <li><a href="/facts/Matrix_decomposition/xVBnAg0x">Matrix decomposition</a></li> <li><a href="/facts/Multidimensional_signal_processing/Yx67H2h5">Multidimensional signal processing</a></li> <li><a href="/facts/System_of_linear_equations/fk9CFdgp">System of linear equations</a></li></ul> <h2 id="external-links">External links</h2> <ul><li><a href="https://github.com/sivaramambikasaran/ESS">Implementation of the Generalized Rybicki Press algorithm</a></li> <li><a href="https://github.com/dfm/celerite">celerite library on GitHub</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Rybicki, George B.; Press, William H. (1995). "Class of fast methods for processing Irregularly sampled or otherwise inhomogeneous one-dimensional data". Physical Review Letters. 74 (7): 1060–1063. arXiv:comp-gas/9405004. Bibcode:1995PhRvL..74.1060R. doi:10.1103/PhysRevLett.74.1060. PMID 10058924. S2CID 17436268. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Ambikasaran, Sivaram (2015-12-01). "Generalized Rybicki Press algorithm". Numerical Linear Algebra with Applications. 22 (6): 1102–1114. arXiv:1409.7852. doi:10.1002/nla.2003. ISSN 1099-1506. S2CID 1627477. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Rybicki, George B.; Press, William H. (1995). "Class of fast methods for processing Irregularly sampled or otherwise inhomogeneous one-dimensional data". Physical Review Letters. 74 (7): 1060–1063. arXiv:comp-gas/9405004. Bibcode:1995PhRvL..74.1060R. doi:10.1103/PhysRevLett.74.1060. PMID 10058924. S2CID 17436268. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>Rybicki, George B.; Press, William H. (October 1992). "Interpolation, realization, and reconstruction of noisy, irregularly sampled data". The Astrophysical Journal. 398: 169. Bibcode:1992ApJ...398..169R. doi:10.1086/171845. <a href="/wiki/Bibcode_(identifier)" target="_blank">/wiki/Bibcode_(identifier)</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> <li id="fn:5"><p>MacLeod, C. L.; Brooks, K.; Ivezic, Z.; Kochanek, C. S.; Gibson, R.; Meisner, A.; Kozlowski, S.; Sesar, B.; Becker, A. C. (2011-02-10). "Quasar Selection Based on Photometric Variability". The Astrophysical Journal. 728 (1): 26. arXiv:1009.2081. Bibcode:2011ApJ...728...26M. doi:10.1088/0004-637X/728/1/26. ISSN 0004-637X. S2CID 28219978. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li> <li id="fn:6"><p>MacLeod, C. L.; Brooks, K.; Ivezic, Z.; Kochanek, C. S.; Gibson, R.; Meisner, A.; Kozlowski, S.; Sesar, B.; Becker, A. C. (2011-02-10). "Quasar Selection Based on Photometric Variability". The Astrophysical Journal. 728 (1): 26. arXiv:1009.2081. Bibcode:2011ApJ...728...26M. doi:10.1088/0004-637X/728/1/26. ISSN 0004-637X. S2CID 28219978. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li> <li id="fn:7"><p>Ambikasaran, Sivaram (2015-12-01). "Generalized Rybicki Press algorithm". Numerical Linear Algebra with Applications. 22 (6): 1102–1114. arXiv:1409.7852. doi:10.1002/nla.2003. ISSN 1099-1506. S2CID 1627477. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li> <li id="fn:8"><p>Ambikasaran, Sivaram (2015-12-01). "Generalized Rybicki Press algorithm". Numerical Linear Algebra with Applications. 22 (6): 1102–1114. arXiv:1409.7852. doi:10.1002/nla.2003. ISSN 1099-1506. S2CID 1627477. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:8" class="footnote-back-ref">↩</a></p></li> <li id="fn:9"><p>Ambikasaran, Sivaram (2015-12-01). "Generalized Rybicki Press algorithm". Numerical Linear Algebra with Applications. 22 (6): 1102–1114. arXiv:1409.7852. doi:10.1002/nla.2003. ISSN 1099-1506. S2CID 1627477. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></p></li> <li id="fn:10"><p>"celerite — celerite 0.3.0 documentation". celerite.readthedocs.io. Retrieved 2018-04-05. <a href="https://celerite.readthedocs.io/en/stable/" target="_blank">https://celerite.readthedocs.io/en/stable/</a> <a href="#fnref:10" class="footnote-back-ref">↩</a></p></li> <li id="fn:11"><p>Foreman-Mackey, Daniel; Agol, Eric; Ambikasaran, Sivaram; Angus, Ruth (2017). "Fast and Scalable Gaussian Process Modeling with Applications to Astronomical Time Series". The Astronomical Journal. 154 (6): 220. arXiv:1703.09710. Bibcode:2017AJ....154..220F. doi:10.3847/1538-3881/aa9332. ISSN 1538-3881. S2CID 88521913. <a href="http://stacks.iop.org/1538-3881/154/i=6/a=220" target="_blank">http://stacks.iop.org/1538-3881/154/i=6/a=220</a> <a href="#fnref:11" class="footnote-back-ref">↩</a></p></li> <li id="fn:12"><p>Foreman-Mackey, Daniel; Agol, Eric; Ambikasaran, Sivaram; Angus, Ruth (2017). "Fast and Scalable Gaussian Process Modeling with Applications to Astronomical Time Series". The Astronomical Journal. 154 (6): 220. arXiv:1703.09710. Bibcode:2017AJ....154..220F. doi:10.3847/1538-3881/aa9332. ISSN 1538-3881. S2CID 88521913. <a href="http://stacks.iop.org/1538-3881/154/i=6/a=220" target="_blank">http://stacks.iop.org/1538-3881/154/i=6/a=220</a> <a href="#fnref:12" class="footnote-back-ref">↩</a></p></li> <li id="fn:13"><p>Foreman-Mackey, Daniel (2018). "Scalable Backpropagation for Gaussian Processes using Celerite". Research Notes of the AAS. 2 (1): 31. arXiv:1801.10156. Bibcode:2018RNAAS...2...31F. doi:10.3847/2515-5172/aaaf6c. ISSN 2515-5172. S2CID 102481482. <a href="http://stacks.iop.org/2515-5172/2/i=1/a=31" target="_blank">http://stacks.iop.org/2515-5172/2/i=1/a=31</a> <a href="#fnref:13" class="footnote-back-ref">↩</a></p></li> <li id="fn:14"><p>Parviainen, Hannu (2018). "Bayesian Methods for Exoplanet Science". Handbook of Exoplanets. Springer, Cham. pp. 1–24. arXiv:1711.03329. doi:10.1007/978-3-319-30648-3_149-1. ISBN 9783319306483. <a href="9783319306483" target="_blank">9783319306483</a> <a href="#fnref:14" class="footnote-back-ref">↩</a></p></li> </ol>