Gibbs distribution
Statistics of spikes trains, synaptic plasticity and Gibbs distributions.
... to Gibbs distribution, with a pair potential having some analogy with an Ising model ...a Gibbs distribution with an “Ising” like potential (see also ...
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Spike train statistics and Gibbs distributions
... that Gibbs distribution considered in a fairly general sense could constitute generic statistical models to fit spike trains ...such distribution could be also defined for more elaborated neural ...
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Exact marginals and normalizing constant for Gibbs distributions
... We present specific results for a Gibbs distribution π. We derive results of Khaled ([5,6]) who gives an original linear recursion on the marginals of π, the law of Z = (Z 1 , Z 2 , · · · , Z T ) ∈ E T ; ...
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Neuronal networks, spike trains statistics and Gibbs distributions
... Are Gibbs distributions good candidates to analyze the spike train statistics from experimental data? This question is present throughout this thesis, but is mainly addressed in chapter 2, where we concluded that ...
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How Gibbs distributions may naturally arise from synaptic adaptation mechanisms
... how Gibbs distri- butions are natural probability measures to describe the statistics of spike trains, given the data of known empirical ...that Gibbs distribution natu- rally arise when considering ...
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Spike train analysis and Gibbs distributions
... Exact conditional probabilities for blocks of range R obtained from the normalized potential , v/s exact conditional probabilities associated with the potential . Empirical probabilities of blocks (darker lower length), ...
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Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm
... The FH interpolants and the approximants obtained by the AAA algorithm suffer from the well-known Gibbs phenomenon, when the underlying function presents jump discontinuities. For a general overview of that ...
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On the ubiquity of Gibbs distributions in spike train statistics
... that Gibbs distributions, considered in more general setting than the initial concept coming from statistical physics and thermodynamics, are canonical models for spike train statistics ...
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Finitude des mesures de Gibbs sur des variétés non compactes à courbure négative pincée
... to Gibbs measures with general Hölder potentials have been proved in ...the Gibbs measure associated with the potential is ...to Gibbs measures of geometrically finite ...
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Takacs-Fiksel method for stationary marked Gibbs point processes
... Therefore, it appears important to us to understand the theoretical properties of this procedure. This problem is the main objective of the present paper. We prove the consistency and the asymptotic nor- mality of the ...
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The interacting 2D Bose gas and nonlinear Gibbs measures
... densate near the condensation transition, Physical Review Letters, 90 (2003), p. 040402. [13] V. A. Kashurnikov, N. V. Prokof’ev, and B. V. Svistunov, Critical temperature shift in weakly interacting Bose gas, Physical ...
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Coordinate sampler: a non-reversible Gibbs-like MCMC sampler
... In this article, we propose the Coordinate Sampler (CS), a novel PDMP-based MCMC sampler that is a variant of the Zigzag sampler (ZS) of Bierkens et al. (2016). However, it differs in three important aspects. First, the ...
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Diffusions infini-dimensionnelles et champs de Gibbs sur l'espace<br /> des trajectoires continues
... L’objectif de ce chapitre est de pr´esenter et d’´etudier le syst`eme de particules browniennes en interaction et d’en exhiber ses propri´et´es gibbsiennes. Nous commen- cerons donc par sa pr´esentation et nous donnerons ...
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Gibbs measure for the periodic derivative nonlinear Schrödinger equation
... NONLINEAR SCHRÖDINGER EQUATION by Laurent Thomann & Nikolay Tzvetkov Abstract. — In this paper we construct a Gibbs measure for the derivative Schrödinger equation on the circle. The construction uses some ...
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FROM BOSONIC GRAND-CANONICAL ENSEMBLES TO NONLINEAR GIBBS MEASURES
... 3.2. Main theorem. Let us now state the main result of this note, proved in [27]. It concerns the limit (3.7) of the previously defined grand-canonical ensemble. One should not expect a convergence of the Gibbs ...
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Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits
... Introduction Gibbs measures based on nonlinear Schr¨ odinger energy functionals play a central role in constructive quantum field theory (CQFT) [26, 44, 16, 53] and in the low-regularity probabilistic Cauchy ...
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BOSE GASES AT POSITIVE TEMPERATURE AND NON-LINEAR GIBBS MEASURES
... NON-LINEAR GIBBS MEASURES MATHIEU LEWIN, PHAN TH ` ANH NAM, AND NICOLAS ROUGERIE ...classical Gibbs measures on one-body quantum states built using the corresponding mean-field energy ...
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Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations
... given by the Gibbs measure P 2 (2m+2) for any t ∈ R. In particular, this mild invariance for a general geometric setting is weaker than the invariance stated in Theorem 1.5 for the Wick ordered NLW (1.24) on T 2 ...
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Derivation of nonlinear Gibbs measures from many-body quantum mechanics
... Nonlinear Gibbs measures have also played an important role in constructive quantum field theory (QFT) [24, 47, ...nonlinear Gibbs measure in dimension d + 1, where the additional variable plays the role of ...
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Distributed OFDMA Resource and Power Allocation Using Gibbs Sampling Methods
... use Gibbs sampling based algorithms to perform a distributed optimization that would lead to the global optimum of the ...the Gibbs sampling (GS) algorithm and its variant the Metropolis- Hasting (MH) ...
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