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[CT118]

CT118 (1/1) : Nonlinear dynamics in mechanics (70K) / Numerical methods for integral equations, integral transforms (65R)

Session Time & Room : 5B (Aug.25, 10:40-12:20) @E802
Type : Contributed Talk
Abstract : We study the mechanisms of energy transport in multidimensional heterogeneous lattice models, studying in particular the case of the Klein-Gordon model of coupled anharmonic oscillators in one and two spatial dimensions. We perform an extensive numerical investigation of the dynamics of the considered model revealing (i) the effects of the type of the impurity (heterogeneity) parameter on the systems' transport properties and classify the transport mechanisms of the nonlinear versions of the models into various dynamical regimes. (ii) that for it's nonlineaar version, chaotic transport persists and (iii) chaotic hotspots meander in the region of energy concentration supporting the spreading mechanism of energy.
Classification : 70K55, 70H07
Format : Talk at Waseda University
Author(s) :
- Bob Senyange (Muni University)

Session Time & Room : 5B (Aug.25, 10:40-12:20) @E802
Type : Contributed Talk
Abstract : In this work by resorting to the continuous ‘model’ of a shallow neural network, we present a novel training approach, that is based on a suitable approximate solution of a Fredholm integral equation of the first kind. Here, we concentrate on least-squares collocation, functional tensor networks and alternating ridge regression. Application of the algorithm to some supervised learning tasks is on par with other state-of-the-art approaches.
Classification : 65R20
Format : Talk at Waseda University
Author(s) :
- Patrick Gelß ( Zuse Institute Berlin)
- Aizhan Issagali ( Freie Universität Berlin)
- Ralf Kornhuber (Freie Universität Berlin)