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Titlebook: Geometric Science of Information; 4th International Co Frank Nielsen,Frédéric Barbaresco Conference proceedings 2019 Springer Nature Switze

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Selective Metamorphosis for Growth Modelling with Applications to Landmarksntrol is a function defined over the domain describing where to violate the diffeomorphic constraint. The location can either be specified from prior knowledge of the growth location or learned from data. We consider landmark matching and infer the distribution of a finite dimensional parameterisati
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Intrinsic Incremental Mechanicsing paths for example) but not always well founded. Thanks to the geometric language of vector bundles, a well defined geometrical object may be associated to each of these tools that allows us to understand some latent difficulties linked with these tools due to the absence of a natural connection
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Multi-symplectic Lie Group Thermodynamics for Covariant Field Theories of general covariant Gibbs state functional is defined in terms of the multi-momentum map associated to the lifted action of the diffeomorphisms group on the fields extended phase space. We elaborate on the use of such functional toward a covariant statistical mechanic description of fully constrai
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Euler-Poincaré Equation for Lie Groups with Non Null Symplectic Cohomology. Application to the Mechad on the choice of the momentum map but only on the structure of the Lie group .. It forwards an affine left action . of . on ...If . is a Lie subgroup of the affine group, one can define an associated affine connection as a field of .-valued 1-forms . on a .-principal bundle of affine frames .. Let
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Geometric Numerical Methods with Lie Groupsorld applications require sophisticated models. Geometric methods are designed to capture the underlying structure of the system at hand and to preserve the global qualitative or geometric properties of the flow, such as symplecticity, volume preservation and symmetry. A survey on three of such stru
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-power Sums on Symmetric Cones are defined on our previous paper. We mention interpolation for .-power sums, which is not defined on our previous paper. It is shown that the synthesized resistances of .-series parallel circuits naturally correspond to .-power sums. We also mention relations with power sums and arithmetic, geomet
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