Institution
Institut Élie Cartan de Lorraine
Facility•Vandœuvre-lès-Nancy, France•
About: Institut Élie Cartan de Lorraine is a facility organization based out in Vandœuvre-lès-Nancy, France. It is known for research contribution in the topics: Boundary value problem & Stochastic differential equation. The organization has 345 authors who have published 1084 publications receiving 15512 citations. The organization is also known as: Institut Élie-Cartan de Nancy.
Topics: Boundary value problem, Stochastic differential equation, Boundary (topology), Brownian motion, Nonlinear system
Papers published on a yearly basis
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01 Sep 2002
TL;DR: In this article, a connection between a specific brand of random lattices, namely planar quadrangulations, and Aldous' Integrated SuperBrownian Excursion (ISE) is described, up to scaling, to the width r-L of the support of the one-dimensional ISE.
Abstract: In this extended abstract, a surprising connection is described between a specific brand of random lattices, namely planar quadrangulations, and Aldous' Integrated SuperBrownian Excursion (ISE). As a consequence, the radius r_n of a random quadrangulation with n faces is shown to converge, up to scaling, to the width r=R-L of the support of the one-dimensional ISE The combinatorial ingredients are an encoding by well labelled trees, reminiscent of the work of Cori and Vauquelin, and the conjugation of tree principle, used to relate the latter trees to embedded (discrete) plane trees in the sense of Aldous. {From} probability, we need a new result of independent interest, namely the weak convergence of the encoding of a random embedded plane tree by two contour walks (e^{(n)},\hat W^{(n)}) to the Brownian snake description (e,\hat W) of ISE.
161 citations
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TL;DR: A general theory of regularized Markov Decision Processes that generalizes these approaches in two directions: a larger class of regularizers, and the general modified policy iteration approach, encompassing both policy iteration and value iteration.
Abstract: Many recent successful (deep) reinforcement learning algorithms make use of regularization, generally based on entropy or Kullback-Leibler divergence. We propose a general theory of regularized Markov Decision Processes that generalizes these approaches in two directions: we consider a larger class of regularizers, and we consider the general modified policy iteration approach, encompassing both policy iteration and value iteration. The core building blocks of this theory are a notion of regularized Bellman operator and the Legendre-Fenchel transform, a classical tool of convex optimization. This approach allows for error propagation analyses of general algorithmic schemes of which (possibly variants of) classical algorithms such as Trust Region Policy Optimization, Soft Q-learning, Stochastic Actor Critic or Dynamic Policy Programming are special cases. This also draws connections to proximal convex optimization, especially to Mirror Descent.
160 citations
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TL;DR: In this article, the authors generalize Lyons' rough paths theory in order to give a pathwise meaning to some nonlinear infinite-dimensional evolution equation associated to an analytic semigroup and driven by an irregular noise.
Abstract: We generalize Lyons’ rough paths theory in order to give a pathwise meaning to some nonlinear infinite-dimensional evolution equation associated to an analytic semigroup and driven by an irregular noise. As an illustration, we discuss a class of linear and nonlinear 1d SPDEs driven by a space–time Gaussian noise with singular space covariance and Brownian time dependence.
158 citations
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TL;DR: In this paper, a trust region optimization method was proposed to estimate the rotation and translation between a camera and a 3D object from point and/or line correspondences. But the accuracy of the estimation was not evaluated.
Abstract: In this paper we present a method for optimally estimating the rotation and translation between a camera and a 3-D object from point and/or line correspondences. First we devise an error function and second we show how to minimize this error function. The quadratic nature of this function is made possible by representing rotation and translation with a dual number quaternion. We provide a detailed account of the computational aspects of a trust-region optimization method. This method compares favourably with Newton's method which has extensively been used to solve the problem at hand, with Faugeras-Toscani's linear method (Faugeras and Toscani 1986) for calibrating a camera, and with the Levenberg-Marquardt non-linear optimization method. Finally we present some experimental results which demonstrate the robustness of our method with respect to image noise and matching errors.
145 citations
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TL;DR: A simple blood test can be used to diagnose peanut allergy with a high level of precision, and Double-blind placebo-controlled food challenge will remain useful for the few cases where immunological and clinical observations yield conflicting results.
Abstract: Background: Double-blind placebo-controlled food challenge (DBPCFC) is currently considered the gold standard for peanut allergy diagnosis. However, this procedure that requires the
142 citations
Authors
Showing all 361 results
Name | H-index | Papers | Citations |
---|---|---|---|
Ivan Nourdin | 44 | 217 | 6139 |
Marius Tucsnak | 33 | 114 | 3907 |
Victor Nistor | 31 | 158 | 3352 |
Xavier Antoine | 30 | 125 | 2992 |
Jan Sokołowski | 30 | 203 | 6056 |
Nicolas Fournier | 29 | 106 | 3044 |
Gérald Tenenbaum | 29 | 173 | 5100 |
Lionel Rosier | 29 | 126 | 3956 |
Vicente Cortés | 27 | 118 | 2356 |
Gauthier Sallet | 27 | 70 | 2007 |
Antoine Henrot | 26 | 128 | 3268 |
Samy Tindel | 26 | 168 | 2656 |
Bruno Scherrer | 25 | 69 | 1447 |
Mario Sigalotti | 25 | 180 | 2082 |
Takéo Takahashi | 24 | 87 | 1673 |