The Gram-Schmidt Process (GSP) is used to convert a non-orthogonal basis (a set of linearly independent vectors) into an orthonormal basis (a set of orthogonal, unit-length vectors). The process consists of taking each vector and then subtracting the elements in common with the previous vectors. This paper introduces an Enhanced version of the Gram-Schmidt Process (EGSP) with inverse, which is ...

We provide a unifying approach which links results on algebraic actions by Lind and Schmidt, Chung Li, topological result Meyerovitch that relates entropy to the set of asymptotic pairs. In order do this we introduce series Markovian properties and, under assumption they are satisfied, prove several relate pairs (the homoclinic group in case). As new applications our method, give characterizati...

We welcome and appreciate the comment by Braun and Schmidt on our recent correspondence about the gambler's fallacy in goalkeeper behaviour during penalty shoot-outs. Braun and Schmidt assert that the binomial is more appropriate for analysing the data than our resampling approach. Their analyses appear to assume that dive direction is binomially distributed with a probability of 0.5. In fact, ...

We prove that certain Gibbs measures on subshifts of finite type are nonsingular and ergodic for certain countable equivalence relations, including the orbit relation of the adic transformation (the same as equality after a permutation of finitely many coordinates). The relations we consider are defined by cocycles taking values in groups, including some nonabelian ones. This generalizes (half ...

We show that, for a finite-dimensional Hilbert space, there exist observables that induce a tensor product structure such that the entanglement properties of any pure state can be tailored. In particular, we provide an explicit, finite method for constructing observables in an unstructured d-dimensional system so that an arbitrary known pure state has any Schmidt decomposition with respect to a...

Portfolio management starts with asset allocation. There is a consensus that asset allocation plays an important role in determining portfolio performance (Arshanapalli, Coggin & Nelson, 2001). Active portfolio management implies the rebalancing of the existing portfolio by buying and selling assets. The aim of rebalancing is to improve the performance of the managed portfolio by adjusting it t...

Sablon and Bruynooghe 94] Gunther Sablon and Maurice Bruynooghe. Using the event calculus to integrate planning and learning in an intelligent autonomous agent. In C.

Location of the internship: The internship will be jointly between the WILLOW team at INRIA Paris1 and the LEAR team at INRIAGrenoble2, and will be co-supervised by Jean Ponce and Cordelia Schmid, a ENS professor and a INRIA research director respectively. Both teams are specialized in computer vision, in particular visual recognition. Armand Joulin, a researcher at FaceBook, will be an externa...

Asteroid 3200 Phaethon resembles a comet in some ways, including a highly-eccentric orbit (e∼ 0.89) and a strong associated meteor shower (the Geminids). Yet this object has never been observed to exhibit any cometary activity, i.e., gas production. We observed 3200 Phaethon with the Caltech Submillimeter Observatory on two occasions, once while it was near its closest approach to Earth as it n...