Information geometric complexity of entropic motion on curved statistical manifolds

作者: Carlo Cafaro

DOI:

关键词: GeodesicEquations for a falling bodyProbability and statisticsMathematicsProbability distributionMathematical modelMeasure (mathematics)Statistical modelStatistical physicsMathematical optimizationPhysical system

摘要: Physical systems behave according to their underlying dynamical equations which, in turn, can be identified from experimental data. Explaining data requires selecting mathematical …

参考文章(50)
Measures of Complexity Measures of Complexity. ,vol. 314, ,(1988) , 10.1007/3-540-50316-1
N. Čencov, Statistical Decision Rules and Optimal Inference Translations of Mathematical#N# Monographs. ,(2000) , 10.1090/MMONO/053
James P. Crutchfield, Bruce S. McNamara, Equations of Motion from a Data Series. Complex Systems. ,vol. 1, ,(1987)
C. G. J. Jacobi, A. Clebsch, Vorlesungen über dynamik G. Reimer. ,(1866)
C. Radhakrishna Rao, Information and the Accuracy Attainable in the Estimation of Statistical Parameters Bull Calcutta. Math. Soc.. ,vol. 37, pp. 235- 247 ,(1992) , 10.1007/978-1-4612-0919-5_16
Shun-ichi Amari, Hiroshi Nagaoka, Methods of information geometry ,(2000)
Murray Gell-Mann, What Is Complexity Physica-Verlag HD. pp. 13- 24 ,(2002) , 10.1007/978-3-642-50007-7_2
D.-H. Kim, S.A. Ali, C. Cafaro, S. Mancini, Information geometric modeling of scattering induced quantum entanglement Physics Letters A. ,vol. 375, pp. 2868- 2873 ,(2011) , 10.1016/J.PHYSLETA.2011.06.008
Peter van Loock, Raffaele Romano, Quantum control of noisy channels arXiv: Quantum Physics. ,(2008)
Susanne Still, David A. Sivak, Anthony J. Bell, Gavin E. Crooks, Thermodynamics of prediction. Physical Review Letters. ,vol. 109, pp. 120604- ,(2012) , 10.1103/PHYSREVLETT.109.120604