{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,29]],"date-time":"2025-08-29T10:38:40Z","timestamp":1756463920921,"version":"3.40.3"},"publisher-location":"Cham","reference-count":32,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319513935"},{"type":"electronic","value":"9783319513942"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"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":[[2017]]},"DOI":"10.1007\/978-3-319-51394-2_19","type":"book-chapter","created":{"date-parts":[[2017,7,12]],"date-time":"2017-07-12T12:08:45Z","timestamp":1499861325000},"page":"361-387","source":"Crossref","is-referenced-by-count":6,"title":["Learning Continuous-Time Hidden Markov Models for Event Data"],"prefix":"10.1007","author":[{"given":"Yu-Ying","family":"Liu","sequence":"first","affiliation":[]},{"given":"Alexander","family":"Moreno","sequence":"additional","affiliation":[]},{"given":"Shuang","family":"Li","sequence":"additional","affiliation":[]},{"given":"Fuxin","family":"Li","sequence":"additional","affiliation":[]},{"given":"Le","family":"Song","sequence":"additional","affiliation":[]},{"given":"James M.","family":"Rehg","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,7,13]]},"reference":[{"issue":"4","key":"19_CR1","doi-asserted-by":"crossref","first-page":"1639","DOI":"10.1137\/080716426","volume":"30","author":"A.H. Al-Mohy","year":"2009","unstructured":"Al-Mohy, A.H., Higham, N.J.: Computing the Fr\u00e9chet derivative of the matrix exponential, with an application to condition number estimation. SIAM Journal on Matrix Analysis and Applications 30(4), 1639\u20131657 (2009)","journal-title":"SIAM Journal on Matrix Analysis and Applications"},{"issue":"2","key":"19_CR2","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1137\/100788860","volume":"33","author":"A.H. Al-Mohy","year":"2011","unstructured":"Al-Mohy, A.H., Higham, N.J.: Computing the action of the matrix exponential, with an application to exponential integrators. SIAM Journal on Scientific Computing 33(2), 488\u2013511 (2011)","journal-title":"SIAM Journal on Scientific Computing"},{"key":"19_CR3","doi-asserted-by":"crossref","unstructured":"Bartolomeo, N., Trerotoli, P., Serio, G.: Progression of liver cirrhosis to HCC: An application of hidden Markov model. BMC Medical Research Methodology 11(38) (2011)","DOI":"10.1186\/1471-2288-11-38"},{"issue":"1","key":"19_CR4","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF01386217","volume":"2","author":"F.L. Bauer","year":"1960","unstructured":"Bauer, F.L., Fike, C.T.: Norms and exclusion theorems. Numerische Mathematik 2(1), 137\u2013141 (1960)","journal-title":"Numerische Mathematik"},{"key":"19_CR5","volume-title":"Principles of scientific computing","author":"D. Bindel","year":"2009","unstructured":"Bindel, D., Goodman, J.: Principles of scientific computing (2009)"},{"issue":"3","key":"19_CR6","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1111\/j.1467-9868.2005.00508.x","volume":"39","author":"M. Bladt","year":"2005","unstructured":"Bladt, M., S\u00f8rensen, M.: Statistical inference for discretely observed Markov jump processes. J. R. Statist. Soc. B 39(3), 395\u2013410 (2005)","journal-title":"J. R. Statist. Soc. B"},{"key":"19_CR7","volume-title":"The Theory of Stochastic Processes","author":"D.R. Cox","year":"1965","unstructured":"Cox, D.R., Miller, H.D.: The Theory of Stochastic Processes. Chapman and Hall, London (1965)"},{"key":"19_CR8","doi-asserted-by":"crossref","unstructured":"Fagan, A.M., Head, D., Shah, A.R., et. al: Decreased CSF A beta 42 correlates with brain atrophy in cognitively normal elderly. Ann Neurol. 65(2), 176\u2013183 (2009)","DOI":"10.1002\/ana.21559"},{"key":"19_CR9","doi-asserted-by":"crossref","unstructured":"Golub, G.H., Van\u00a0Loan, C.F.: Matrix computations, vol.\u00a03. JHU Press (2012)","DOI":"10.56021\/9781421407944"},{"key":"19_CR10","doi-asserted-by":"crossref","unstructured":"Higham, N.: Functions of Matrices: Theory and Computation. SIAM Press (2008)","DOI":"10.1137\/1.9780898717778"},{"key":"19_CR11","doi-asserted-by":"crossref","unstructured":"Hobolth, A., Jensen, J.L.: Statistical inference in evolutionary models of DNA sequences via the EM algorithm. Statistical Applications in Genetics and Molecular Biology 4(1) (2005)","DOI":"10.2202\/1544-6115.1127"},{"issue":"4","key":"19_CR12","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1017\/S0021900200008524","volume":"48","author":"A. Hobolth","year":"2011","unstructured":"Hobolth, A., Jensen, J.L.: Summary statistics for endpoint-conditioned continuous-time Markov chains. Journal of Applied Probability 48(4), 911\u2013924 (2011)","journal-title":"Journal of Applied Probability"},{"key":"19_CR13","doi-asserted-by":"crossref","unstructured":"Jackson, C.H.: Multi-state models for panel data: The MSM package for R. Journal of Statistical Software 38(8) (2011)","DOI":"10.18637\/jss.v038.i08"},{"key":"19_CR14","first-page":"87","volume":"36","author":"A. Jensen","year":"1953","unstructured":"Jensen, A.: Markoff chains as an aid in the study of Markoff processes. Skand. Aktuarietidskr 36, 87\u201391 (1953)","journal-title":"Skand. Aktuarietidskr"},{"key":"19_CR15","unstructured":"Kingman, S.: Glaucoma is second leading cause of blindness globally. Bulletin of the World Health Organization 82(11) (2004)"},{"key":"19_CR16","volume-title":"Visualization and prediction of disease interactions with continuous-time hidden Markov models","author":"J.M. Leiva-Murillo","year":"2011","unstructured":"Leiva-Murillo, J.M., Rodrguez, A.A., Baca-Garca, E.: Visualization and prediction of disease interactions with continuous-time hidden Markov models. In: Advances in Neural Information Processing Systems (2011)"},{"key":"19_CR17","doi-asserted-by":"crossref","unstructured":"Liu, Y., Ishikawa, H., Chen, M., et al.: Longitudinal modeling of glaucoma progression using 2-dimensional continuous-time hidden Markov model. In: Proc. Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp.\u00a0444\u2013451 (2013)","DOI":"10.1007\/978-3-642-40763-5_55"},{"key":"19_CR18","unstructured":"Liu, Y.Y., Li, S., Li, F., Song, L., Rehg, J.M.: Efficient learning of continuous-time hidden Markov models for disease progression. In: Proc. Twenty-Ninth Annual Conference on Neural Information Processing Systems (NIPS 15). Montreal, Canada (2015)"},{"issue":"3","key":"19_CR19","doi-asserted-by":"crossref","first-page":"034,109","DOI":"10.1063\/1.4926516","volume":"143","author":"R.T. McGibbon","year":"2015","unstructured":"McGibbon, R.T., Pande, V.S.: Efficient maximum likelihood parameterization of continuous-time Markov processes. The Journal of Chemical Physics 143(3), 034,109 (2015)","journal-title":"The Journal of Chemical Physics"},{"key":"19_CR20","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/j.jcp.2007.07.032","volume":"227","author":"P. Metzner","year":"2007","unstructured":"Metzner, P., Horenko, I., Sch\u00fctte, C.: Generator estimation of Markov jump processes. Journal of Computational Physics 227, 353\u2013375 (2007)","journal-title":"Journal of Computational Physics"},{"key":"19_CR21","doi-asserted-by":"crossref","unstructured":"Metzner, P., Horenko, I., Sch\u00fctte, C.: Generator estimation of Markov jump processes based on incomplete observations nonequidistant in time. Physical Review E 76(066702) (2007)","DOI":"10.1103\/PhysRevE.76.066702"},{"issue":"4","key":"19_CR22","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1137\/1020098","volume":"20","author":"C. Moler","year":"1978","unstructured":"Moler, C., Van\u00a0Loan, C.: Nineteen dubious ways to compute the exponential of a matrix. SIAM Review 20(4), 801\u2013836 (1978)","journal-title":"SIAM Review"},{"issue":"1","key":"19_CR23","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1137\/S00361445024180","volume":"45","author":"C. Moler","year":"2003","unstructured":"Moler, C., Van\u00a0Loan, C.: Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM Review 45(1), 3\u201349 (2003)","journal-title":"SIAM Review"},{"key":"19_CR24","unstructured":"Nodelman, U., Shelton, C.R., Koller, D.: Expectation maximization and complex duration distributions for continuous time Bayesian networks. In: Proc. Uncertainty in AI (UAI 05) (2005)"},{"issue":"4","key":"19_CR25","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1145\/321043.321048","volume":"7","author":"E. Osborne","year":"1960","unstructured":"Osborne, E.: On pre-conditioning of matrices. Journal of the ACM (JACM) 7(4), 338\u2013345 (1960)","journal-title":"Journal of the ACM (JACM)"},{"key":"19_CR26","doi-asserted-by":"crossref","unstructured":"Rabinar, L.R.: A tutorial on Hidden Markov Models and selected applications in speech recognition. Proceedings of the IEEE 77(2) (1989)","DOI":"10.1109\/5.18626"},{"key":"19_CR27","volume-title":"Stochastic Processes","author":"S.M. Ross","year":"1983","unstructured":"Ross, S.M.: Stochastic Processes. John Wiley, New York (1983)"},{"key":"19_CR28","doi-asserted-by":"crossref","unstructured":"Tataru, P., Hobolth, A.: Comparison of methods for calculating conditional expectations of sufficient statistics for continuous time Markov chains. BMC Bioinformatics 12(465) (2011)","DOI":"10.1186\/1471-2105-12-465"},{"key":"19_CR29","unstructured":"The Alzheimer\u2019s Disease Neuroimaging Initiative: http:\/\/adni.loni.usc.edu"},{"key":"19_CR30","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1109\/TAC.1978.1101743","volume":"23","author":"C. Loan Van","year":"1978","unstructured":"Van Loan, C.: Computing integrals involving the matrix exponential. IEEE Trans. Automatic Control 23, 395\u2013404 (1978)","journal-title":"IEEE Trans. Automatic Control"},{"issue":"1","key":"19_CR31","first-page":"85","volume":"4","author":"X. Wang","year":"2014","unstructured":"Wang, X., Sontag, D., Wang, F.: Unsupervised learning of disease progression models. Proceeding KDD 4(1), 85\u201394 (2014)","journal-title":"Proceeding KDD"},{"issue":"1","key":"19_CR32","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1136\/bjo.2010.196907","volume":"96","author":"G. Wollstein","year":"2012","unstructured":"Wollstein, G., Kagemann, L., Bilonick, R., et al.: Retinal nerve fibre layer and visual function loss in glaucoma: the tipping point. Br J Ophthalmol 96(1), 47\u201352 (2012)","journal-title":"Br J Ophthalmol"}],"container-title":["Mobile Health"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-51394-2_19","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,24]],"date-time":"2023-08-24T12:36:43Z","timestamp":1692880603000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-51394-2_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319513935","9783319513942"],"references-count":32,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-51394-2_19","relation":{},"subject":[],"published":{"date-parts":[[2017]]}}}