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  • Videos (159)
    Leapfrogging vortices for the Gross-Pitaevskii equation
    54:42
    published on June 3, 2016

    Leapfrogging vortices for the Gross-Pitaevskii equation

    By Didier Smets

    IHES

    We will present a rigorous derivation of the leapfrogging mechanism for the 3D axisymmetric Gross-Pitaveskii equation (joint with R.L. Jerrard), and point out the difficulties that arise in the related context of the incompressible Euler equation.

    Appears in collection : Nonlinear Waves Trimester - May Conference

    Missing fields : cross diffusion

    Score: 9.322828
    Diffusion en direct de Institut des Hautes Études Scientifiques (IHÉS)
    00:00
    Score: 9.314949
    Affine Volterra processes and models for rough volatility
    published on November 21, 2017

    Affine Volterra processes and models for rough volatility

    By Martin Larsson

    CIRM

    ... Classical affine diffusions constitute a special case, but affine Volterra processes are neither semi-martingales, nor Markov processes in general. Nonetheless, their Fourier-Laplace functionals admit exponential-affine representations in terms of solutions of associated deterministic integral ...

    Appears in collection : Advances in stochastic analysis for risk modeling / Avancées en analyse stochastique pour la modélisation des risques

    Missing fields : cross diffusion

    Score: 9.297441
    Gradient descent for wide two-layer neural networks
    47:31
    published on April 6, 2020

    Gradient descent for wide two-layer neural networks

    By Francis Bach

    CIRM

    ... cross-entropy) loss with gradient-based methods are observed to perform well in many supervised classification tasks. Towards understanding this phenomenon, we analyze the training and generalization behavior of infinitely wide two-layer neural networks with homogeneous activations. We show that ...

    Appears in collection : Optimization for Machine Learning / Optimisation pour l’apprentissage automatique

    Missing fields : diffusion

    Score: 9.262562
    On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion
    01:03:15
    published on May 18, 2017

    On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion

    By Josef Málek

    CIRM

    We first summarize the derivation of viscoelastic (rate-type) fluids with stress diffusion that generates the models that are compatible with the second law of thermodynamics and where no approximation/reduction takes place. The approach is based on the concept of natural configuration that splits ...

    Appears in collection : Vorticity, rotation and symmetry (IV): Complex fluids and the issue of regularity / Vorticité, rotation et symétrie (IV) : fluides complexes et problèmes de régularité

    Missing fields : cross

    Score: 9.242563
    Transferring information across image and shape collections
    published on November 10, 2016

    Transferring information across image and shape collections

    By Niloy Mitra

    CIRM

    Large image and 3D model repositories of everyday objects are now ubiquitous and are increasingly being used in computer graphics and computer vision, both for analysis and synthesis. However, images of objects in the real world have a richness of appearance that these repositories do not ...

    Appears in collection : SIGMA (Signal-Image-Geometry-Modelling-Approximation) / SIGMA (Signal-Image-Géométrie-Modélisation-Approximation)

    Missing fields : cross diffusion

    Score: 9.142278
    Using Harris’s theorem to show convergence to equilibrium for kinetic equations
    published on July 20, 2021

    Using Harris’s theorem to show convergence to equilibrium for kinetic equations

    By Josephine Evans

    CIRM

    ... Then I will discuss how to use this to show convergence to equilibrium for some spatially inhomogeneous kinetic equations involving jumps including jump processes which approximate diffusion or fractional diffusion in velocity. This is the situation in which the tools of ’Hypocoercivity’ are ...

    Appears in collection : Non standard diffusions in fluids, kinetic equations and probability / Diffusions non standards en mécanique des fluides, équations cinétiques et probabilités

    Missing fields : cross

    Score: 9.028232
    A numerical method for identifying transition paths of metastable diffusion processes
    17:04
    Score: 8.948077
  • Collections (8)
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