{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T17:54:09Z","timestamp":1776966849289,"version":"3.51.4"},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642400193","type":"print"},{"value":"9783642400209","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40020-9_35","type":"book-chapter","created":{"date-parts":[[2013,8,18]],"date-time":"2013-08-18T21:32:37Z","timestamp":1376861557000},"page":"327-334","source":"Crossref","is-referenced-by-count":43,"title":["A General Metric for Riemannian Manifold Hamiltonian Monte Carlo"],"prefix":"10.1007","author":[{"given":"Michael","family":"Betancourt","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"6","key":"35_CR1","doi-asserted-by":"publisher","first-page":"762","DOI":"10.1063\/1.1724318","volume":"4","author":"K. Aizu","year":"1963","unstructured":"Aizu, K.: Parameter differentiation of quantum-mechanical linear operators. Journal of Mathematical Physics\u00a04(6), 762\u2013775 (1963)","journal-title":"Journal of Mathematical Physics"},{"key":"35_CR2","doi-asserted-by":"crossref","unstructured":"Amari, S., Nagaoka, H.: Methods of information geometry, vol.\u00a0191. Amer. Mathematical Society (2007)","DOI":"10.1090\/mmono\/191"},{"key":"35_CR3","unstructured":"Betancourt, M., Stein, L.C.: The Geometry of Hamiltonian Monte Carlo (2011)"},{"key":"35_CR4","volume-title":"Numerical Optimization 1984","author":"M. Celis","year":"1985","unstructured":"Celis, M., Dennis, J.E.: A., T.R.: A trust region strategy for nonlinear equality constrained optimization. In: Boggs, P., Byrd, R., Schnabel, R. (eds.) Numerical Optimization 1984, SIAM, Philadelphia (1985)"},{"issue":"2","key":"35_CR5","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1016\/0370-2693(87)91197-X","volume":"195","author":"S. Duane","year":"1987","unstructured":"Duane, S., Kennedy, A., Pendleton, B.J., Roweth, D.: Hybrid monte carlo. Physics Letters B\u00a0195(2), 216\u2013222 (1987)","journal-title":"Physics Letters B"},{"key":"35_CR6","volume-title":"Bayesian Data Analysis","author":"A. Gelman","year":"2004","unstructured":"Gelman, A., Carlin, J., Stern, H., Rubin, D.: Bayesian Data Analysis. Chapman & Hall\/CRC Press, Boca Raton (2004)"},{"key":"35_CR7","volume-title":"Handbook of MCMC","author":"C. Geyer","year":"2011","unstructured":"Geyer, C.: Introduction to mcmc. In: Brooks, S., Gelman, A., Jones, G.L., Meng, X.L. (eds.) Handbook of MCMC. CRC Press, New York (2011)"},{"issue":"2","key":"35_CR8","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1111\/j.1467-9868.2010.00765.x","volume":"73","author":"M. Girolami","year":"2011","unstructured":"Girolami, M., Calderhead, B.: Riemann manifold langevin and hamiltonian monte carlo methods. Journal of the Royal Statistical Society: Series B (Statistical Methodology)\u00a073(2), 123\u2013214 (2011)","journal-title":"Journal of the Royal Statistical Society: Series B (Statistical Methodology)"},{"key":"35_CR9","unstructured":"Hoffman, M.D., Gelman, A.: The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo. ArXiv e-prints (November 2011)"},{"key":"35_CR10","volume-title":"Matrix Differential Calculus with Applications in Statistics and Econometrics","author":"J. Magnus","year":"2007","unstructured":"Magnus, J., Neudecker, H.: Matrix Differential Calculus with Applications in Statistics and Econometrics. Wiley, New York (2007)"},{"issue":"1","key":"35_CR11","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1137\/S00361445024180","volume":"45","author":"C. Moler","year":"2003","unstructured":"Moler, C., Van Loan, C.: Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM Review\u00a045(1), 3\u201349 (2003)","journal-title":"SIAM Review"},{"key":"35_CR12","unstructured":"Murray, I., Prescott Adams, R.: Slice Sampling Covariance Hyperparameters of Latent Gaussian Models. ArXiv e-prints (June 2010)"},{"key":"35_CR13","doi-asserted-by":"crossref","unstructured":"Neal, R.: Slice sampling. Annals of Statistics, 705\u2013741 (2003)","DOI":"10.1214\/aos\/1056562461"},{"key":"35_CR14","volume-title":"Handbook of MCMC","author":"R. Neal","year":"2011","unstructured":"Neal, R.: Mcmc using hamiltonian dynamics. In: Brooks, S., Gelman, A., Jones, G.L., Meng, X.L. (eds.) Handbook of MCMC. CRC Press, New York (2011)"},{"key":"35_CR15","volume-title":"A Comprehensive Introduction to Differential Geometry","author":"M. Spivak","year":"2005","unstructured":"Spivak, M.: A Comprehensive Introduction to Differential Geometry, vol.\u00a01. Publish or Perish, Inc., Houston (2005)"},{"issue":"4","key":"35_CR16","doi-asserted-by":"publisher","first-page":"962","DOI":"10.1063\/1.1705306","volume":"8","author":"R.M. Wilcox","year":"1967","unstructured":"Wilcox, R.M.: Exponential operators and parameter differentiation in quantum physics. Journal of Mathematical Physics\u00a08(4), 962\u2013982 (1967)","journal-title":"Journal of Mathematical Physics"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40020-9_35","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T14:44:37Z","timestamp":1558017877000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-40020-9_35"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642400193","9783642400209"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40020-9_35","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}