5,744 research outputs found
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions
A pair of dual frames with almost exponentially localized elements (needlets)
are constructed on \RR_+^d based on Laguerre functions. It is shown that the
Triebel-Lizorkin and Besov spaces induced by Laguerre expansions can be
characterized in terms of respective sequence spaces that involve the needlet
coefficients.Comment: 42 page
Subsampling needlet coefficients on the sphere
In a recent paper, we analyzed the properties of a new kind of spherical
wavelets (called needlets) for statistical inference procedures on spherical
random fields; the investigation was mainly motivated by applications to
cosmological data. In the present work, we exploit the asymptotic uncorrelation
of random needlet coefficients at fixed angular distances to construct
subsampling statistics evaluated on Voronoi cells on the sphere. We illustrate
how such statistics can be used for isotropy tests and for bootstrap estimation
of nuisance parameters, even when a single realization of the spherical random
field is observed. The asymptotic theory is developed in detail in the high
resolution sense.Comment: Published in at http://dx.doi.org/10.3150/08-BEJ164 the Bernoulli
(http://isi.cbs.nl/bernoulli/) by the International Statistical
Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm
A simple model for heterogeneous flows of yield stress fluids
Various experiments evidence spatial heterogeneities in sheared yield stress
fluids. To account for heterogeneities in the velocity gradient direction, we
use a simple model corresponding to a non-monotonous local constitutive curve
and study a simple shear geometry. Different types of boundary conditions are
considered. Under controlled macroscopic shear stress , we find
homogeneous flow in the bulk and a hysteretic macroscopic stress - shear rate
curve. Under controlled macroscopic shear rate , shear banding is
predicted within a range of values of . For small shear rates,
stick slip can also be observed. These qualitative behaviours are robust when
changing the boundary conditions.Comment: 13 pages, 13 figure
Asymptotics for spherical needlets
We investigate invariant random fields on the sphere using a new type of
spherical wavelets, called needlets. These are compactly supported in frequency
and enjoy excellent localization properties in real space, with
quasi-exponentially decaying tails. We show that, for random fields on the
sphere, the needlet coefficients are asymptotically uncorrelated for any fixed
angular distance. This property is used to derive CLT and functional CLT
convergence results for polynomial functionals of the needlet coefficients:
here the asymptotic theory is considered in the high-frequency sense. Our
proposals emerge from strong empirical motivations, especially in connection
with the analysis of cosmological data sets.Comment: Published in at http://dx.doi.org/10.1214/08-AOS601 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Hydrogen maser development at Laval University
The physical construction of two hydrogen masers is described and results of measurements made on one of the masers are given. These include: cavity Q, thermal time constant, line Q, signal power output, magnetic shielding factor. Preliminary results indicate that the frequency stability will be mainly affected by the thermal of the cavity. The magnetic field and the barometric fluctuations should not affect the maser at the stability level above a few parts in 10 to the 15th power, which is the goal for averaging times of several hours
Audiências, consumidores e cidadãos: implicações das mudanças nas relações dos operadores de serviço público
Os media encontram-se perante um cenário muito diferente daquele que existia aquando da fundação da RTP, há 50 anos, o qual se caracterizava pela complexidade e pela turbulência do mercado. O primeiro aspecto resulta das dificuldades com as quais se debatem as empresas de comunicação, enquanto o segundo decorre da instabilidade e da falta de orientação clara nos mercados, factores que originam incerteza e riscos estratégicos. As pressões sobre os media são provocadas por cinco factores decisivos subjacentes ao desenvolvimento contemporâneo do sector: abundância de meios de comunicação; fragmentação e polarização das audiências; desenvolvimento de carteiras de produtos; erosão da força das empresas de media; e alterações de poder no processo comunicacional. O primeiro factor torna-se visÃvel através do acréscimo dramático de tipos e unidades de media, bem como do crescimento da oferta, que excede largamente o aumento de procura em termos monetários e temporais. Dispararam a quantidade de páginas dos jornais e o número de horas diárias de emissão (tanto de rádio como de televisão) e de revistas e livros publicados. Nesta altura, as condições técnicas e económicas e as polÃticas públicas fomentam o aparecimento de novos fornecedores de conteúdos, aumentando, dramaticamente, a oferta de empresas
Picard: We must keep the focus on why plurality is important
Robert G. Picard is Director of Research at the Reuters Institute for the Study of Journalism, University of Oxford, a research fellow at Green Templeton College (Oxford), and a Fellow of the Royal Society of Arts. Here he argues that digital intermediaries should not be ignored in the debates over media pluralism, particularly when they perform editorial functions. This post is part of our series on the role of digital intermediaries in media plurality
How Europe talks about itself: Lessons from the Euro Crisis
Although the continuing Euro Crisis is currently being overshadowed by the refugee crisis in Europe, its economic and political effects continue to shake the foundation of Europe and dampen national economies
Book review: What Society needs from Media in the Age of digital communication, by Robert G. Picard
Media and communications are changing rapidly and their transformation is having a momentous impact on the abilities of individuals to communicate and how society communicates within itself. Such changes are important because media convey ideas, opinions, information, social values, experiences, and entertainment and those are influenced by social, economic, and political forces in society. The changing nature of communication is especially important because media and communication platforms are increasingly the primary location in which contemporary identity, culture, and values and norms are manifested and contested
High Dimensional Classification with combined Adaptive Sparse PLS and Logistic Regression
Motivation: The high dimensionality of genomic data calls for the development
of specific classification methodologies, especially to prevent over-optimistic
predictions. This challenge can be tackled by compression and variable
selection, which combined constitute a powerful framework for classification,
as well as data visualization and interpretation. However, current proposed
combinations lead to instable and non convergent methods due to inappropriate
computational frameworks. We hereby propose a stable and convergent approach
for classification in high dimensional based on sparse Partial Least Squares
(sparse PLS). Results: We start by proposing a new solution for the sparse PLS
problem that is based on proximal operators for the case of univariate
responses. Then we develop an adaptive version of the sparse PLS for
classification, which combines iterative optimization of logistic regression
and sparse PLS to ensure convergence and stability. Our results are confirmed
on synthetic and experimental data. In particular we show how crucial
convergence and stability can be when cross-validation is involved for
calibration purposes. Using gene expression data we explore the prediction of
breast cancer relapse. We also propose a multicategorial version of our method
on the prediction of cell-types based on single-cell expression data.
Availability: Our approach is implemented in the plsgenomics R-package.Comment: 9 pages, 3 figures, 4 tables + Supplementary Materials 8 pages, 3
figures, 10 table
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