Oracle-Preserving Latent Flows

Algorithms for Area Preserving Flows

We propose efficient and accurate algorithms for computing certain area preserving geometric motions of curves in the plane, such as area preserving motion by curvature. These schemes are based on a new class of diffusion generated motion algorithms using signed distance functions. In particular, they alternate two very simple and fast operations, namely convolution with the Gaussian kernel and...

A Topography - Preserving Latent VariableModel with Learning

Finite-time transport in volume-preserving flows.

Finite-time transport between distinct flow regions is of great relevance to many scientific applications, yet quantitative studies remain scarce to date. The primary obstacle is computing the evolution of material volumes, which is often infeasible due to extreme interfacial stretching. We present a framework for describing and computing finite-time transport in n-dimensional (chaotic) volume-...

Area preserving analytic flows with dense orbits

The aim of this paper is to give sufficient conditions on area-preserving flows that guarantee the existence of dense orbits. We also answer a question by M. D. Hirsch, [1]. The results of this work are a generalization of the ones in [1] and [2].

Factor Oracle, Suux Oracle

We introduce a new automaton on a word p, sequence of letters taken in an alphabet , that we call factor oracle. This automaton is acyclic, recognizes at least the factors of p, has m + 1 states and a linear number of transitions. We give an on-line construction algorithm of the factor oracle. The tight links between this structure and the suux automaton allows us to introduce a second structur...