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Machine Learning Video Library - Learning From Data (Abu-Mostafa)

Machine Learning Video Library - Learning From Data (Abu-Mostafa)

jinbow/Octopus The art of writing science - Iceweasel OceanColor Home Page Legos FSLE Obtaining data This dataset can be used freely for any scientific applications provided that (i) one or more of the papers listed below are cited (please choose the most relevant in respect to your application) and (ii) CTOH is acknowledged. To obtain data, please use the Filament Product Request Form. References More information about this implementation of the FSLE, their scientific application and some validation can be found in the following papers. Interpretation of the FSLEs in terms of mixing and of dynamical system theory : F. d'Ovidio, C. Comparison of FSLE ridges with chlorophyll fronts from ocean color satellite images : Y. Comparison of the FSLEs with SST infrared satellite images in the East Mediterranean : F. d'Ovidio, J. Comparison of the FSLEs with drifter trajectories : L. Comparison of fronts detected by FSLEs with CTD in situ measurements : A. Use of FSLEs for understanding the impact of the horizontal stirring on the phytoplankton biogeography : F. d'Ovidio, S. Warning

submesoscale for the formation of any layer, and would lead to prediction as fluxes are either directly resolved or parameterized in numerical models. The vertical turbulent fluxes in the transition layer are an important topic for research in the coming years. This region is challenging, as both internal waves and turbulence are strong, its depth changes as it follows the undulations of the mixed-layer base, and any strict assumption of one-dimensionality is unlikely to be satisfactory. A long-standing problem in biological oceanography is that turbulent fluxes, determined over the years from physical measurements, have never seemed sufficient to describe the observed production. The most important vertical advective fluxes occur on scales smaller than the energetic mesoscale, whose study has dominated past decades.

FSLE D'OVIDIO Francesco d'Ovidio My main interest is dynamical system theory and nonlinear dynamics in applications, especially where quantitative modeling is possible. I have worked on the emergence of collective properties in populations of natural and artificial units (respectively, yeast cells and electronic circuits). Currently I am focused on the problem of transport and mixing in geophysical flows and on the interaction between turbulence and marine ecosystems. My new address is: LOCEAN - IPSL, Université Pierre et Marie Curie 4 place Jussieu, 75252 Paris Cedex 5 (France) francesco.dovidio AT locean-ipsl.upmc.fr Please visit my new homepage: www.locean-ipsl.upmc.fr/~dovidio Research done at ISC (2008-2010) Nonlinear ocean dynamics The ocean is characterized by the interaction of spatial and temporal scales that span several orders of magnitude. Currently, I am focused on the role of filaments in the ocean. Synchronization and emergence of collective properties: Dynamical quorum sensing Collaborations

LCS Tutorial: Brief Overview 1 Brief Overview This tutorial explains the application of finite-time Lyapunov exponents (FTLE) for studying time-dependent dynamical systems. The emphasis here is on dynamical systems with arbitrary time dependence, since there is already a nice repertory of tools to tackle time-independent and time-periodic systems. A leading source for time-dependent dynamical systems are fluid flow problems. So while the ideas stated in this tutorial are expressed in terms of a general dynamical system, we often assume that the system represents a fluid flow. This tutorial is intended for readers that have had some exposure to dynamical systems concepts, however the presentation is somewhat informal and hopefully easily accessible. In the tutorial, we show that finite-time Lyapunov exponents can be used to find separatrices in time-dependent systems, which are often analogous to stable and unstable manifolds of time-independent systems.

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