Showing papers by "Gilles Pagès published in 1998"
TL;DR: A GC-rich region of the VEGF promoter is identified which contains all the elements responsible of its up-regulation by constitutive active Ras or MKK1-SS/DD and which constitutively binds Sp1 and AP-2 transcription factors.
320 citations
TL;DR: The SOM algorithm is very simple to write down and to simulate, its practical properties are clear and easy to observe as discussed by the authors, however, its theoretical properties still remain without proof in the general case, despite the tremendous efforts of several authors.
219 citations
TL;DR: Results demonstrate that the MAP kinase pathway activation is not required for cAMP-induced melanogenesis, and the inhibition of this pathway induces B16 melanoma cell differentiation, while a sustained activation impairs the melanogenic effect of cAMP -elevating agents.
197 citations
TL;DR: In this paper, a general framework was presented for the a.s. convergence of the one-dimensional Kohonen algorithm to its unique equilibrium when the learning rate decreases to 0 in a suitable way.
Abstract: We show in a very general framework the a.s. convergence of the one-dimensional Kohonen algorithm-after self-organization-to its unique equilibrium when the learning rate decreases to 0 in a suitable way. The main requirement is a log-concavity assumption on the stimuli distribution which includes all the usual (truncated) probability distributions (uniform, exponential, gamma distribution with parameter > 1, etc.). For the constant step algorithm, the weak convergence of the invariant distributions towards equilibrium as the step goes to 0 is established too. The main ingredients of the proof are the Poincare-Hopf Theorem and a result of Hirsch on the convergence of cooperative dynamical systems.
37 citations
TL;DR: In this paper, the expectation of an integrable functional F defined on the probability space is computed using Birkhoff's Pointwise Ergodic Theorem, i.e. n-1.
Abstract: The shift method consists in computing the expectation of an integrable functional F defined on the probability space ((Rd)N, B(Rd)1N, I0tN) (t, is a probability measure on Rd) using Birkhoff's Pointwise Ergodic Theorem, i.e. n-1
3 citations