Discovering dynamic patterns from infectious disease data using dynamic mode decomposition

Schmid, 2010, Dynamic mode decomposition of numerical and experimental data, J Fluid Mech, 656, 5, 10.1017/S0022112010001217

Rowley, 2009, Spectral analysis of nonlinear flows, J Fluid Mech, 641, 115, 10.1017/S0022112009992059

Tu, 2014, On dynamic mode decomposition: theory and applications, J Comput Dyn, 1, 391, 10.3934/jcd.2014.1.391

Chen, 2012, Variants of dynamic mode decomposition: Boundary condition, Koopman, and Fourier analyses, J Nonlin Sci, 22, 887, 10.1007/s00332-012-9130-9

Brunton, Compressive sampling and dynamic mode decomposition

Tu, 2014, Spectral analysis of fluid flows using sub-Nyquist rate PIV data, Exp Fluids, 55, 1, 10.1007/s00348-014-1805-6

Jovanovic, 2014, Sparsity-promoting dynamic mode decomposition, Phys Fluids, 26, 024103, 10.1063/1.4863670

Proctor, Dynamic mode decomposition with control, 10.1137/15M1013857

Schmid, 2011, Application of the dynamic mode decomposition to experimental data, Exp Fluids, 50, 1123, 10.1007/s00348-010-0911-3

Sirovich, 1987, Turbulence and the dynamics of coherent structures, parts I-III, Q Appl Math, XLV, 561, 10.1090/qam/910462

Ginsberg, 2009, Detecting influenza epidemics using search engine query data, Nature, 457, 1012, 10.1038/nature07634

Lazer, 2014, The parable of Google flu: traps in big data analysis, Science, 343, 1203, 10.1126/science.1248506

Keeling, 1997, Disease extinction and community size: modeling the persistence of measles, Science, 275, 65, 10.1126/science.275.5296.65

Upfill-Brown, 2014, Predictive spatial risk model of poliovirus to aid prioritization and hasten eradication in Nigeria, BMC Med, 12, 879, 10.1186/1741-7015-12-92

Lumley, 1970, Stochastic Tools in Turbulence

Holmes, 1996, Turbulence, coherent structures, dynamical systems and symmetry, 10.1017/CBO9780511622700

Berkooz, 1993, The proper orthogonal decomposition in the analysis of turbulent flows, Ann Rev Fluid Mech, 23, 539, 10.1146/annurev.fl.25.010193.002543

Hotelling, 1933, Analysis of a complex of statistical variables with principal components, J Educ Psychol, 24, 417, 10.1037/h0071325

Lorenz, 1956, Empirical orthogonal functions and statistical weather prediction

North, 1984, Empirical orthogonal functions and normal modes, J Atmos Sci, 41, 879, 10.1175/1520-0469(1984)041<0879:EOFANM>2.0.CO;2

Loéve, 1955, Probability Theory

Schmid, Dynamic mode decomposition and proper orthogonal decomposition of flow in a lid-driven cylindrical cavity