5 The aim for a more accurate representation of tropical convection in global circulation models 6 is a long-standing issue. Here, we investigate the relationships between largeand convective 7 scales in observations and a Stochastic Multicloud Model (SMCM) to ultimately support 8 the design of a novel convection parametrization with stochastic elements. Observations of 9 tropical convection ob...

Cartan’s method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group G. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit. This delivers the complete set of invariant data which solves the G-equivalence problem via a straightforward procedure, and which is, in some sense a supplement to the equi...

The aim of this article is to investigate a mechanical description of learning. A framework for local and simple learning algorithms based on interpreting a neural network as a set of configuration constraints is proposed. For any architectural design and learning task, unsupervised and supervised algorithms can be derived, optionally using unconstrained and hidden neurons. Unlike algorithms ba...