{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,10]],"date-time":"2024-09-10T20:10:28Z","timestamp":1725999028503},"publisher-location":"Cham","reference-count":43,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319955032"},{"type":"electronic","value":"9783319955049"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-95504-9_3","type":"book-chapter","created":{"date-parts":[[2018,11,13]],"date-time":"2018-11-13T03:38:10Z","timestamp":1542080290000},"page":"47-73","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Dynamic Data-Driven Adaptive Observations in Data Assimilation for Multi-scale Systems"],"prefix":"10.1007","author":[{"given":"Hoong C.","family":"Yeong","sequence":"first","affiliation":[]},{"given":"Ryne","family":"Beeson","sequence":"additional","affiliation":[]},{"given":"N. Sri","family":"Namachchivaya","sequence":"additional","affiliation":[]},{"given":"Nicolas","family":"Perkowski","sequence":"additional","affiliation":[]},{"given":"Peter W.","family":"Sauer","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,11,14]]},"reference":[{"key":"3_CR1","first-page":"1180","volume-title":"A theoretical look at information-driven sensor management criteria, in Proceedings of the 14th International Conference on Information Fusion (FUSION)","author":"EH Aoki","year":"2011","unstructured":"E.H. Aoki, A. Bagchi, P. Mandal, Y. Boers, A theoretical look at information-driven sensor management criteria, in Proceedings of the 14th International Conference on Information Fusion (FUSION) (IEEE, Chicago, 2011), pp. 1180\u20131187"},{"key":"3_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12878-7","volume-title":"Random Dynamical Systems, Springer Monographs in Mathematics","author":"L Arnold","year":"1998","unstructured":"L. Arnold, Random Dynamical Systems, Springer Monographs in Mathematics (Springer, Berlin, 1998)"},{"key":"3_CR3","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/BF01192196","volume":"101","author":"L Arnold","year":"1995","unstructured":"L. Arnold, M. Scheutzow, Perfect cocycles through stochastic differential equations. Probab. Theory Relat. Fields 101, 65\u201388 (1995)","journal-title":"Probab. Theory Relat. Fields"},{"key":"3_CR4","doi-asserted-by":"publisher","first-page":"1947","DOI":"10.1142\/S0218127496001272","volume":"6","author":"L Arnold","year":"1996","unstructured":"L. Arnold, N.S. Namachchivaya, K.L. Schenk, Toward an understanding of stochastic hopf bifurcations: a case study. J. Bifurcation Chaos 6, 1947\u20131975 (1996)","journal-title":"J. Bifurcation Chaos"},{"key":"3_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-76896-0","volume-title":"Fundamentals of stochastic filtering","author":"A Bain","year":"2009","unstructured":"A. Bain, D. Crisan, Fundamentals of stochastic filtering (Springer, Berlin, 2009)."},{"key":"3_CR6","volume-title":"Noise-induced phenomena in slow-fast dynamical systems: a sample paths approach","author":"N Berglund","year":"2006","unstructured":"N. Berglund, B. Gentz, Noise-induced phenomena in slow-fast dynamical systems: a sample paths approach, (Springer, London, 2006)"},{"key":"3_CR7","doi-asserted-by":"publisher","first-page":"2887","DOI":"10.1002\/qj.49712556006","volume":"125","author":"R Buizza","year":"1999","unstructured":"R. Buizza, M. Miller, T.N. Palmer, Stochastic simulation of model uncertainties. Q. J. R. Meteorol. Soc. 125, 2887\u20132908 (1999)","journal-title":"Q. J. R. Meteorol. Soc."},{"key":"3_CR8","unstructured":"T.M. Cover, J.A. Thomas, Elements of Information Theory, 2nd edn. (Wiley-Interscience J.A., Hoboken, 2006)"},{"key":"3_CR9","doi-asserted-by":"crossref","unstructured":"A. Doucet, B.-N. Vo, C. Andrieu, M. Davy, Particle filtering for multi-target tracking and sensor management, in Proceedings of the 5th International Conference on Information Fusion (FUSION) (IEEE, Annapolis, MD, 2002), pp. 474\u2013481","DOI":"10.1109\/ICIF.2002.1021192"},{"issue":"2","key":"3_CR10","doi-asserted-by":"publisher","first-page":"1403","DOI":"10.1109\/TAES.2014.130136","volume":"51","author":"J Dunik","year":"2015","unstructured":"J. Dunik, O. Straka, M. Simandl, E. Blasch, Random-point-based filters: analysis and comparison in target tracking. IEEE Trans. Aerosp. Electron. Syst. 51(2), 1403\u20131421 (2015)","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"3_CR11","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1007\/3-540-36978-3_27","volume-title":"Information Processing in Sensor Networks","author":"Emre Ertin","year":"2003","unstructured":"E. Ertin, J.W. Fisher, L.C. Potter, Maximum mutual information principle for dynamic sensor query problems in Information Processing in Sensor Networks. Lecture Notes in Computer Science, vol. 2634 (Springer, Berlin, 2003), pp. 405\u2013416"},{"key":"3_CR12","doi-asserted-by":"publisher","DOI":"10.1002\/9780470316658","volume-title":"Markov Processes: Characterization and Convergence","author":"SN Ethier","year":"1986","unstructured":"S.N. Ethier, T.G. Kurtz, Markov Processes: Characterization and Convergence (Wiley, New York, 1986)"},{"issue":"4","key":"3_CR13","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1007\/s10236-003-0036-9","volume":"53","author":"G Evensen","year":"2003","unstructured":"G. Evensen, The ensemble Kalman Filter: theoretical formulation and practical implementation. Ocean Dyn. 53(4), 343\u2013367 (2003)","journal-title":"Ocean Dyn."},{"key":"3_CR14","doi-asserted-by":"crossref","unstructured":"M.I. Freidlin, A.D. Wentzell, Random Perturbations of Dynamical Systems. Grundlehren der Mathematischen Wissenschaften, 260 (Springer, Berlin, 1998)","DOI":"10.1007\/978-1-4612-0611-8"},{"key":"3_CR15","doi-asserted-by":"crossref","unstructured":"C. Kreucher, J. Wegrzyn, M. Beauvais, R. Conti, Multiplatform information-based sensor management: an inverted UAV demonstration, in Defense and Security Symposium, International Society for Optics and Photonics: 65780Y-65780Y, 2007","DOI":"10.1117\/12.719395"},{"issue":"6","key":"3_CR16","doi-asserted-by":"publisher","first-page":"2161","DOI":"10.1214\/12-AAP901","volume":"23","author":"P Imkeller","year":"2013","unstructured":"P. Imkeller, N.S. Namachchivaya, N. Perkowski, H.C. Yeong, Dimensional reduction in nonlinear filtering: a homogenization approach. Ann. Appl. Probab. 23(6), 2161\u20132603 (2013)","journal-title":"Ann. Appl. Probab."},{"key":"3_CR17","volume-title":"Stochastic Processes and Filtering Theory","author":"AH Jazwinski","year":"1970","unstructured":"A.H. Jazwinski, Stochastic Processes and Filtering Theory (Academic, New York, 1970)"},{"key":"3_CR18","doi-asserted-by":"crossref","unstructured":"C. Kreucher, K. Kastella, A.O. Hero III, Information based sensor management for multitarget tracking, in Proceedings of SPIE 5204, Signal and Data Processing of Small Targets, vol. 480 (San Diego, CA, 2003)","DOI":"10.1117\/12.502699"},{"issue":"5","key":"3_CR19","doi-asserted-by":"publisher","first-page":"978","DOI":"10.1109\/JPROC.2007.893247","volume":"95","author":"CM Kreucher","year":"2007","unstructured":"C.M. Kreucher, A.O. Hero, K.D. Kastella, M.R. Morelande, An information-based approach to sensor management in large dynamic networks. Proc. IEEE 95(5), 978\u2013999 (2007)","journal-title":"Proc. IEEE"},{"key":"3_CR20","doi-asserted-by":"crossref","unstructured":"H. Kunita, Some extensions of It\u00f4\u2019s formula. S\u00e9minaire de probabilit\u00e9s (Strasbourg), vol. 15 (Springer, Berlin\/Heidelberg, 1981), pp. 118\u2013141","DOI":"10.1007\/BFb0088362"},{"key":"3_CR21","volume-title":"Stochastic Flows and Stochastic Differential Equations","author":"H Kunita","year":"1990","unstructured":"H. Kunita, Stochastic Flows and Stochastic Differential Equations (Cambridge University Press, Cambridge, 1990)"},{"issue":"3","key":"3_CR22","doi-asserted-by":"publisher","first-page":"509","DOI":"10.2307\/1971328","volume":"122","author":"F Ledrappier","year":"1985","unstructured":"F. Ledrappier, L.-S. Young, The metric entropy of diffeomorphisms: part I: characterization of measures satisfying Pesin\u2019s Entropy formula. Ann. Math. 122(3), 509\u2013539 (1985)","journal-title":"Ann. Math."},{"issue":"10","key":"3_CR23","doi-asserted-by":"publisher","first-page":"5137","DOI":"10.1016\/j.jde.2015.06.023","volume":"259","author":"J Li","year":"2015","unstructured":"J. Li, K. Lu, P.W. Bates, Geometric singular perturbation theory with real noise. J. Differ. Equ. 259(10), 5137\u20135167 (2015)","journal-title":"J. Differ. Equ."},{"key":"3_CR24","doi-asserted-by":"publisher","DOI":"10.1063\/1.4766595","volume":"22","author":"N Lingala","year":"2012","unstructured":"N. Lingala, N.S. Namachchivaya, N. Perkowski, H.C. Yeong, Particle filtering in high-dimensional chaotic systems. Chaos 22, 047509 (2012)","journal-title":"Chaos"},{"key":"3_CR25","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/j.probengmech.2012.12.008","volume":"32","author":"N Lingala","year":"2014","unstructured":"N. Lingala, N.S. Namachchivaya, N. Perkowski, H.C. Yeong, Optimal nudging in particle filters. Probab. Eng. Mech. 32, 21\u201330 (2014)","journal-title":"Probab. Eng. Mech."},{"key":"3_CR26","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","volume":"20","author":"EN Lorenz","year":"1963","unstructured":"E.N. Lorenz, Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130\u2013141 (1963)","journal-title":"J. Atmos. Sci."},{"key":"3_CR27","volume-title":"Information based sensor control in a two-vortex flowfield","author":"M Mamlouk","year":"2013","unstructured":"M. Mamlouk, Information based sensor control in a two-vortex flowfield. M.S. Thesis, University of Illinois-Urbana Champaign, Department of Aerospace Engineering, Urbana, Illinois (2013)"},{"issue":"1","key":"3_CR28","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1007\/s10955-004-8781-9","volume":"118","author":"S Mitter","year":"2005","unstructured":"S. Mitter, N. Newton, Information and Entropy Flow in the Kalma-Bucy Filter. J. Stat. Phys. 118(1), 145\u2013176 (2005)","journal-title":"J. Stat. Phys."},{"key":"3_CR29","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1016\/j.automatica.2005.12.018","volume":"42","author":"S Martinez","year":"2006","unstructured":"S. Martinez, F. Bullo, Optimal sensor placement and motion coordination for target tracking. Automatica 42, 661\u2013668 (2006)","journal-title":"Automatica"},{"key":"3_CR30","doi-asserted-by":"crossref","unstructured":"E. Mayer-Wolf, M. Zakai, On a formula relating the Shannon information to the Fisher information for the filtering problem, in Filtering and Control of Random Processes: Proceedings of the E.N.S.T.-C.N.E.T. Colloquium, Paris, 23\u201324 Feb 1983, vol. 61 (Springer, Berlin\/Heidelberg, 1984), pp. 164\u2013171","DOI":"10.1007\/BFb0006569"},{"issue":"2","key":"3_CR31","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1023\/A:1019614613583","volume":"37","author":"NS Namachchivaya","year":"2002","unstructured":"N.S. Namachchivaya, R.B. Sowers, Rigorous stochastic averaging at a center with additive noise. Meccanica 37(2), 85\u2013114 (2002)","journal-title":"Meccanica"},{"issue":"3","key":"3_CR32","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1080\/14689360110060717","volume":"16","author":"NS Namachchivaya","year":"2001","unstructured":"N.S. Namachchivaya, R.B. Sowers, L. Vedula, Nonstandard reduction of Noisy Duffing-van der Pol equation. J. Dyn. Syst. 16(3), 223\u2013245 (2001)","journal-title":"J. Dyn. Syst."},{"key":"3_CR33","first-page":"197","volume":"19","author":"VI Oseledec","year":"1968","unstructured":"V.I. Oseledec, A Multiplicative Ergodic Theorem. Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19, 197\u2013231 (1968)","journal-title":"Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc."},{"key":"3_CR34","doi-asserted-by":"crossref","unstructured":"K. Onu, N.S. Namachchivaya, stochastic averaging of surface waves. Proc R Soc A 466(3), 2363\u20132381 (2010)","DOI":"10.1098\/rspa.2009.0665"},{"issue":"2","key":"3_CR35","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1088\/0951-7715\/23\/2\/005","volume":"23","author":"JH Park","year":"2010","unstructured":"J.H. Park, N.S. Namachchivaya, R.B. Sowers, Dimensional reduction in nonlinear filtering. Nonlinearity 23(2), 305\u2013325 (2010)","journal-title":"Nonlinearity"},{"key":"3_CR36","unstructured":"G.C. Papanicolaou, D. Stroock, S.R.S. Varadhan, Martingale approach to some limit theorems, in Papers from the Duke Turbulence Conference, Duke University, Durham, 1976, paper no. 6 (Duke University, Durham, 1977)"},{"issue":"6","key":"3_CR37","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1115\/1.4003167","volume":"78","author":"JH Park","year":"2011","unstructured":"J.H. Park, N.S. Namachchivaya, H.C. Yeong, Particle filters in a multiscale environment: homogenized hybrid particle filter. J. Appl. Mech. 78(6), 1\u201310 (2011)","journal-title":"J. Appl. Mech."},{"issue":"4","key":"3_CR38","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1070\/RM1977v032n04ABEH001639","volume":"32","author":"Y Pesin","year":"1977","unstructured":"Y. Pesin, Characteristic Lyapunov exponents and smooth ergodic theory. Rus. Math. Surv. 32(4), 55\u2013114 (1977)","journal-title":"Rus. Math. Surv."},{"key":"3_CR39","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1007\/BF02684768","volume":"50","author":"D Ruelle","year":"1979","unstructured":"D. Ruelle, Ergodic theory of differentiable dynamical systems. Publ. IHES 50, 27\u201358 (1979)","journal-title":"Publ. IHES"},{"issue":"5","key":"3_CR40","doi-asserted-by":"publisher","first-page":"574","DOI":"10.1016\/j.robot.2010.01.001","volume":"58","author":"A Ryan","year":"2010","unstructured":"A. Ryan, J.K. Hedrick, Particle filter based information-theoretic active sensing. Robot. Auton. Syst. 58(5), 574\u2013584 (2010)","journal-title":"Robot. Auton. Syst."},{"key":"3_CR41","volume-title":"Multidimensional diffusion processes Grundlehren der Mathematischen Wissenschaften 233","author":"DW Stroock","year":"1979","unstructured":"D.W. Stroock, S.R.S. Varadhan, Multidimensional diffusion processes Grundlehren der Mathematischen Wissenschaften 233 (Springer, Berlin, 1979)"},{"key":"3_CR42","doi-asserted-by":"publisher","first-page":"1544","DOI":"10.1002\/cpa.20088","volume":"58","author":"E Weinan","year":"2005","unstructured":"E. Weinan, D. Liu, E. Vanden-Eijnden, Analysis of multiscale methods for stochastic differential equations. Commun. Pure Appl. Math. 58, 1544\u20131585 (2005)","journal-title":"Commun. Pure Appl. Math."},{"key":"3_CR43","doi-asserted-by":"crossref","unstructured":"C. Yang, I. Kadar, E. Blasch, M. Bakich, Comparison of information theoretic divergences for sensor management, in Proceedings of SPIE 8050, Signal Processing, Sensor Fusion, and Target Recognition XX, 80500C, Bellingham, 2011","DOI":"10.1117\/12.883745"}],"container-title":["Handbook of Dynamic Data Driven Applications Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-95504-9_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T17:15:28Z","timestamp":1572628528000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-95504-9_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319955032","9783319955049"],"references-count":43,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-95504-9_3","relation":{},"subject":[],"published":{"date-parts":[[2018]]}}}