2,345 research outputs found
Risk hull method and regularization by projections of ill-posed inverse problems
We study a standard method of regularization by projections of the linear
inverse problem , where is a white Gaussian noise,
and is a known compact operator with singular values converging to zero
with polynomial decay. The unknown function is recovered by a projection
method using the singular value decomposition of . The bandwidth choice of
this projection regularization is governed by a data-driven procedure which is
based on the principle of risk hull minimization. We provide nonasymptotic
upper bounds for the mean square risk of this method and we show, in
particular, that in numerical simulations this approach may substantially
improve the classical method of unbiased risk estimation.Comment: Published at http://dx.doi.org/10.1214/009053606000000542 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Regularization of statistical inverse problems and the Bakushinskii veto
In the deterministic context Bakushinskii's theorem excludes the existence of
purely data driven convergent regularization for ill-posed problems. We will
prove in the present work that in the statistical setting we can either
construct a counter example or develop an equivalent formulation depending on
the considered class of probability distributions. Hence, Bakushinskii's
theorem does not generalize to the statistical context, although this has often
been assumed in the past. To arrive at this conclusion, we will deduce from the
classic theory new concepts for a general study of statistical inverse problems
and perform a systematic clarification of the key ideas of statistical
regularization.Comment: 20 page
Minimax estimation of the Wigner function in quantum homodyne tomography with ideal detectors
We estimate the quantum state of a light beam from results of quantum
homodyne measurements performed on identically prepared pulses. The state is
represented through the Wigner function, a ``quasi-probability density'' on
which may take negative values and must respect intrinsic
positivity constraints imposed by quantum physics. The data consists of
i.i.d. observations from a probability density equal to the Radon transform of
the Wigner function. We construct an estimator for the Wigner function, and
prove that it is minimax efficient for the pointwise risk over a class of
infinitely differentiable functions. A similar result was previously derived by
Cavalier in the context of positron emission tomography. Our work extends this
result to the space of smooth Wigner functions, which is the relevant parameter
space for quantum homodyne tomography.Comment: 15 page
Analyses of Groundwater for Trace Levels of Pesticides
Agricultural production is a major source of revenue in Arkansas. In order to increase productivity, it has been necessary to rely increasingly on the use of pesticides and irrigation water. In the last 15 years several states have reported finding pesticides in groundwater as a result of normal agricultural practices. Since almost half of the population also relies on groundwater as their source of drinking water, it is necessary to conduct research as to ascertain the presence or absence of commonly used pesticides in groundwater. Multi residue analytical techniques were developed for the analysis of acifluorfen, alachlor, atrazine, cyanazine, diuron, fluometuron, linuron, metolachlor and propanil from groundwater, by either GLC or HPLC. Analytical sensitivities ranged from 1 to 5 ppb. Groundwater samples were collected from three areas of southeastern Arkansas that are under heavy agricultural production. Samples were collected directly from irrigation wells just prior to and during the peak of the irrigation season and will be compared to determine whether any temporal differences exist. To-date, over 500 samples have been analyzed. No positive finding for any pesticide has been shown
Reconstruction of source location in a network of gravitational wave interferometric detectors
This paper deals with the reconstruction of the direction of a gravitational
wave source using the detection made by a network of interferometric detectors,
mainly the LIGO and Virgo detectors. We suppose that an event has been seen in
coincidence using a filter applied on the three detector data streams. Using
the arrival time (and its associated error) of the gravitational signal in each
detector, the direction of the source in the sky is computed using a chi^2
minimization technique. For reasonably large signals (SNR>4.5 in all
detectors), the mean angular error between the real location and the
reconstructed one is about 1 degree. We also investigate the effect of the
network geometry assuming the same angular response for all interferometric
detectors. It appears that the reconstruction quality is not uniform over the
sky and is degraded when the source approaches the plane defined by the three
detectors. Adding at least one other detector to the LIGO-Virgo network reduces
the blind regions and in the case of 6 detectors, a precision less than 1
degree on the source direction can be reached for 99% of the sky.Comment: Accepted in Phys. Rev.
Adoção do IFRS no Brasil: um terreno fértil para pesquisa sobre gerenciamento de resultados
We highlight aspects of the Brazilian operating and reporting environment that have led to ample opportunities for researchers to examine the topic of earnings management in financial reporting. In particular, we discuss the potential for research since Brazil has adopted a financial reporting system (IFRS) to replace its tax compliance system. Within that framework, we consider the role of other aspects of Brazil’s environment, including the recent influx of foreign investment, the ability to choose corporate structure, and the implications of inflation on the incentives and opportunities for earnings management. As a guideline to researchers in Brazil, we have also provided a discussion of the applicability of testing those earnings properties most often tested in relation to earnings management, paying particular attention to issues that would be of interest beyond Brazil’s borders.Esta pesquisa investiga aspectos do ambiente econômico em que são elaborados relatórios financeiros e contábeis, favoráveis ao estudo do gerenciamento de resultados. Em particular, o estudo discute o potencial de investigação acadêmica desse tópico no Brasil, país que adotou recentemente o IFRS, sistema internacional de relatórios financeiros, para substituir seu atual modelo de cumprimento das obrigações fiscais. Dentro desse quadro, foi considerado o papel de outras características do ambiente econômico brasileiro, como a atratividade recente de investimentos estrangeiros, a capacidade de escolha da estrutura societária e as implicações da inflação sobre os incentivos e sobre as oportunidades para o gerenciamento de resultados. Como orientação para pesquisadores no Brasil, este estudo discute a aplicabilidade do teste das propriedades do gerenciamento e dos ganhos vinculados a essa prática, com especial atenção para as questões de interesse para além das fronteiras do Brasil
Nitrogen deprivation induces triacylglycerol accumulation, drug tolerance and hypervirulence in mycobacteria.
Mycobacteria share with other actinomycetes the ability to produce large quantities of triacylglycerol (TAG), which accumulate as intracytoplasmic lipid inclusions (ILI) also known as lipid droplets (LD). Mycobacterium tuberculosis (M. tb), the etiologic agent of tuberculosis, acquires fatty acids from the human host which are utilized to synthesize TAG, subsequently stored in the form of ILI to meet the carbon and nutrient requirements of the bacterium during long periods of persistence. However, environmental factors governing mycobacterial ILI formation and degradation remain poorly understood. Herein, we demonstrated that in the absence of host cells, carbon excess and nitrogen starvation promote TAG accumulation in the form of ILI in M. smegmatis and M. abscessus, used as surrogate species of M. tb. Based on these findings, we developed a simple and reversible in vitro model to regulate ILI biosynthesis and hydrolysis in mycobacteria. We also showed that TAG formation is tgs1 dependent and that lipolytic enzymes mediate TAG breakdown. Moreover, we confirmed that the nitrogen-deprived and ILI-rich phenotype was associated with an increased tolerance towards several drugs used for treating mycobacterial infections. Importantly, we showed that the presence of ILI substantially enhanced the bacterial burden and granuloma abundance in zebrafish embryos infected with lipid-rich M. abscessus as compared to embryos infected with lipid-poor M. abscessus, suggesting that ILI are actively contributing to mycobacterial virulence and pathogenesis
Benefits of joint LIGO -- Virgo coincidence searches for burst and inspiral signals
We examine the benefits of performing a joint LIGO--Virgo search for
transient signals. We do this by adding burst and inspiral signals to 24 hours
of simulated detector data. We find significant advantages to performing a
joint coincidence analysis, above either a LIGO only or Virgo only search.
These include an increased detection efficiency, at a fixed false alarm rate,
to both burst and inspiral events and an ability to reconstruct the sky
location of a signal.Comment: 11 pages 8 figures, Amaldi 6 proceeding
EROS Variable Stars : Discovery of Beat Cepheids in the Small Magellanic Cloud and the effect of metallicity on pulsation
We report the discovery of eleven beat Cepheids in the Small Magellanic
Cloud, using data obtained by the EROS microlensing survey. Four stars are
beating in the fundamental and first overtone mode (F/1OT), seven are beating
in the first and second overtone (1OT/2OT). The SMC F/1OT ratio is
systematically higher than the LMC F/1OT, while the 1OT/2OT period ratio in the
SMC Cepheids is the same as the LMC one.Comment: 4 pages, Latex file with 4 .ps figures. accepted for publication in A
A Letter
The effect of metallicity on the Cepheid distance scale and its implications for the Hubble constant () determination
Recent HST determinations of the expansion's rate of the Universe (the Hubble
constant, H_0) assumed that the Cepheid Period-Luminosity relation at V and I
are independent of metallicity (Freedman, et al., 1996, Saha et al., 1996,
Tanvir et al., 1995). The three groups obtain different vales for H_0. We note
that most of this discrepancy stems from the asumption (by both groups) that
the Period-Luminosity relation is independent of metallicity. We come to this
conclusion as a result of our study of the Period-Luminosity relation of 481
Cepheids with 3 millions two colour measurements in the Large Magellanic Cloud
and the Small Magellanic Cloud obtained as a by-product of the EROS
microlensing survey. We find that the derived interstellar absorption
corrections are particularly sensitive to the metallicity and when our result
is applied to recent estimates based on HST Cepheids observations it makes the
low-H_0 values higher and the high-H_0 value lower, bringing those discrepant
estimates into agrement around .Comment: 4 pages, Latex, with 2 .ps accepted for publication astronomy and
astrophysics Letter
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