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20092026
most citedUsing Machine Learning to Replicate Chaotic Attractors and Calculate Lyapunov Exponents from Data

633 citations

Showing 2014Show all

8 papers · 1 filter

physics.ao-ph2014★ 31 cited

Data-Driven Prediction of Thresholded Time Series of Rainfall and SOC models

Anna Deluca, Nicholas R. Moloney, Alvaro Corral

We study the occurrence of events, subject to threshold, in a representative SOC sandpile model and in high-resolution rainfall data. The predictability in both systems is analyzed…

math.NA2014★ 1 cited

Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements

Ben Adcock, Milana Gataric, Anders C. Hansen

We provide sufficient density condition for a set of nonuniform samples to give rise to a set of sampling for multivariate bandlimited functions when the measurements consist of po…

physics.data-an2014★ 26 cited

The perils of thresholding

Francesc Font-Clos, Gunnar Pruessner, Anna Deluca +1

The thresholding of time series of activity or intensity is frequently used to define and differentiate events. This is either implicit, for example due to resolution limits, or ex…

nlin.CD2014★ 14 cited

Exponential energy growth in adiabatically changing Hamiltonian Systems

Tiago Pereira, Dmitry Turaev

Fermi acceleration is the process of energy transfer from massive objects in slow motion to light objects that move fast. The model for such process is a time-dependent Hamiltonian…

math.FA2014

A spectral radius type formula for approximation numbers of composition operators

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

For approximation numbers of composition operators on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol of unifo…

econ.GN2014★ 91 cited

Evaluating gambles using dynamics

Ole Peters, Murray Gell-Mann

Gambles are random variables that model possible changes in monetary wealth. Classic decision theory transforms money into utility through a utility function and defines the value…