42,577 research outputs found
Adaptive Smoothing in fMRI Data Processing Neural Networks
Functional Magnetic Resonance Imaging (fMRI) relies on multi-step data
processing pipelines to accurately determine brain activity; among them, the
crucial step of spatial smoothing. These pipelines are commonly suboptimal,
given the local optimisation strategy they use, treating each step in
isolation. With the advent of new tools for deep learning, recent work has
proposed to turn these pipelines into end-to-end learning networks. This change
of paradigm offers new avenues to improvement as it allows for a global
optimisation. The current work aims at benefitting from this paradigm shift by
defining a smoothing step as a layer in these networks able to adaptively
modulate the degree of smoothing required by each brain volume to better
accomplish a given data analysis task. The viability is evaluated on real fMRI
data where subjects did alternate between left and right finger tapping tasks.Comment: 4 pages, 3 figures, 1 table, IEEE 2017 International Workshop on
Pattern Recognition in Neuroimaging (PRNI
Reconstruction of cosmological initial conditions from galaxy redshift catalogues
We present and test a new method for the reconstruction of cosmological
initial conditions from a full-sky galaxy catalogue. This method, called
ZTRACE, is based on a self-consistent solution of the growing mode of
gravitational instabilities according to the Zel'dovich approximation and
higher order in Lagrangian perturbation theory. Given the evolved
redshift-space density field, smoothed on some scale, ZTRACE finds via an
iterative procedure, an approximation to the initial density field for any
given set of cosmological parameters; real-space densities and peculiar
velocities are also reconstructed. The method is tested by applying it to
N-body simulations of an Einstein-de Sitter and an open cold dark matter
universe. It is shown that errors in the estimate of the density contrast
dominate the noise of the reconstruction. As a consequence, the reconstruction
of real space density and peculiar velocity fields using non-linear algorithms
is little improved over those based on linear theory. The use of a
mass-preserving adaptive smoothing, equivalent to a smoothing in Lagrangian
space, allows an unbiased (although noisy) reconstruction of initial
conditions, as long as the (linearly extrapolated) density contrast does not
exceed unity. The probability distribution function of the initial conditions
is recovered to high precision, even for Gaussian smoothing scales of ~ 5
Mpc/h, except for the tail at delta >~ 1. This result is insensitive to the
assumptions of the background cosmology.Comment: 19 pages, MN style, 12 figures included, revised version. MNRAS, in
pres
Multiscale adaptive smoothing models for the hemodynamic response function in fMRI
In the event-related functional magnetic resonance imaging (fMRI) data
analysis, there is an extensive interest in accurately and robustly estimating
the hemodynamic response function (HRF) and its associated statistics (e.g.,
the magnitude and duration of the activation). Most methods to date are
developed in the time domain and they have utilized almost exclusively the
temporal information of fMRI data without accounting for the spatial
information. The aim of this paper is to develop a multiscale adaptive
smoothing model (MASM) in the frequency domain by integrating the spatial and
frequency information to adaptively and accurately estimate HRFs pertaining to
each stimulus sequence across all voxels in a three-dimensional (3D) volume. We
use two sets of simulation studies and a real data set to examine the finite
sample performance of MASM in estimating HRFs. Our real and simulated data
analyses confirm that MASM outperforms several other state-of-the-art methods,
such as the smooth finite impulse response (sFIR) model.Comment: Published in at http://dx.doi.org/10.1214/12-AOAS609 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
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