4,202 research outputs found
An application of adaptive fault-tolerant control to nano-spacecraft
Since nano-spacecraft are small, low cost and do not undergo the same rigor of testing as conventional spacecraft, they have a greater risk of failure. In this paper we address the problem of attitude control of a nano-spacecraft that experiences different types of faults. Based on the traditional quaternion feedback control method, an adaptive fault-tolerant control method is developed, which can ensure that the control system still operates when the actuator fault happens. This paper derives the fault-tolerant control logic under both actuator gain fault mode and actuator deviation fault mode. Taking the parameters of the UKube-1 in the simulation model, a comparison between a traditional spacecraft control method and the adaptive fault-tolerant control method in the presence of a fault is undertaken. It is shown that the proposed controller copes with faults and is able to complete an effective attitude control manoeuver in the presence of a fault
Narrow Trans-TeV Higgs Bosons and Decays: Two LHC Search Paths for a Hidden Sector Higgs Boson
We consider the addition of a condensing singlet scalar field to the Standard
Model. Such a scenario may be motivated by any number of theoretical ideas,
including the common result in string-inspired model building of singlet scalar
fields charged under some hidden sector gauge symmetry. For concreteness, we
specify an example model of this type, and consider the relevant constraints on
Higgs physics, such as triviality, perturbative unitarity and precision
electroweak analysis. We then show that there are two unique features of the
phenomenology that present opportunities for discovery at the Large Hadron
Collider (LHC). First, it is possible to identify and discover a narrow
trans-TeV Higgs boson in this scenario -- a mass scale that is well above the
scale at which it is meaningful to discuss a SM Higgs boson. Second, the decays
of the heavier scalar state into the lighter Higgs bosons can proceed at a high
rate and may be the first discovery mode in the Higgs sector.Comment: 21 pages, 5 figure
Cosmic Archaeology with Gravitational Waves from Cosmic Strings
Cosmic strings are generic cosmological predictions of many extensions of the
Standard Model of particle physics, such as a symmetry breaking
phase transition in the early universe or remnants of superstring theory.
Unlike other topological defects, cosmic strings can reach a scaling regime
that maintains a small fixed fraction of the total energy density of the
universe from a very early epoch until today. If present, they will oscillate
and generate gravitational waves with a frequency spectrum that imprints the
dominant sources of total cosmic energy density throughout the history of the
universe. We demonstrate that current and future gravitational wave detectors,
such as LIGO and LISA, could be capable of measuring the frequency spectrum of
gravitational waves from cosmic strings and discerning the energy composition
of the universe at times well before primordial nucleosynthesis and the cosmic
microwave background where standard cosmology has yet to be tested. This work
establishes a benchmark case that gravitational waves may provide an
unprecedented, powerful tool for probing the evolutionary history of the very
early universe.Comment: 6 pages, 3 figure
Gaussianizing the non-Gaussian lensing convergence field I: the performance of the Gaussianization
Motivated by recent works of Neyrinck et al. 2009 and Scherrer et al. 2010,
we proposed a Gaussianization transform to Gaussianize the non-Gaussian lensing
convergence field . It performs a local monotonic transformation
pixel by pixel to make the unsmoothed one-point
probability distribution function of the new variable Gaussian. We tested
whether the whole field is Gaussian against N-body simulations. (1) We
found that the proposed Gaussianization suppresses the non-Gaussianity by
orders of magnitude, in measures of the skewness, the kurtosis, the 5th- and
6th-order cumulants of the field smoothed over various angular scales
relative to that of the corresponding smoothed field. The residual
non-Gaussianities are often consistent with zero within the statistical errors.
(2) The Gaussianization significantly suppresses the bispectrum. Furthermore,
the residual scatters around zero, depending on the configuration in the
Fourier space. (3) The Gaussianization works with even better performance for
the 2D fields of the matter density projected over \sim 300 \mpch distance
interval centered at , which can be reconstructed from the weak
lensing tomography. (4) We identified imperfectness and complexities of the
proposed Gaussianization. We noticed weak residual non-Gaussianity in the
field. We verified the widely used logarithmic transformation as a good
approximation to the Gaussianization transformation. However, we also found
noticeable deviations.Comment: 13 pages, 15 figures, accepted by PR
Likelihood-informed dimension reduction for nonlinear inverse problems
The intrinsic dimensionality of an inverse problem is affected by prior
information, the accuracy and number of observations, and the smoothing
properties of the forward operator. From a Bayesian perspective, changes from
the prior to the posterior may, in many problems, be confined to a relatively
low-dimensional subspace of the parameter space. We present a dimension
reduction approach that defines and identifies such a subspace, called the
"likelihood-informed subspace" (LIS), by characterizing the relative influences
of the prior and the likelihood over the support of the posterior distribution.
This identification enables new and more efficient computational methods for
Bayesian inference with nonlinear forward models and Gaussian priors. In
particular, we approximate the posterior distribution as the product of a
lower-dimensional posterior defined on the LIS and the prior distribution
marginalized onto the complementary subspace. Markov chain Monte Carlo sampling
can then proceed in lower dimensions, with significant gains in computational
efficiency. We also introduce a Rao-Blackwellization strategy that
de-randomizes Monte Carlo estimates of posterior expectations for additional
variance reduction. We demonstrate the efficiency of our methods using two
numerical examples: inference of permeability in a groundwater system governed
by an elliptic PDE, and an atmospheric remote sensing problem based on Global
Ozone Monitoring System (GOMOS) observations
Optimal low-rank approximations of Bayesian linear inverse problems
In the Bayesian approach to inverse problems, data are often informative,
relative to the prior, only on a low-dimensional subspace of the parameter
space. Significant computational savings can be achieved by using this subspace
to characterize and approximate the posterior distribution of the parameters.
We first investigate approximation of the posterior covariance matrix as a
low-rank update of the prior covariance matrix. We prove optimality of a
particular update, based on the leading eigendirections of the matrix pencil
defined by the Hessian of the negative log-likelihood and the prior precision,
for a broad class of loss functions. This class includes the F\"{o}rstner
metric for symmetric positive definite matrices, as well as the
Kullback-Leibler divergence and the Hellinger distance between the associated
distributions. We also propose two fast approximations of the posterior mean
and prove their optimality with respect to a weighted Bayes risk under
squared-error loss. These approximations are deployed in an offline-online
manner, where a more costly but data-independent offline calculation is
followed by fast online evaluations. As a result, these approximations are
particularly useful when repeated posterior mean evaluations are required for
multiple data sets. We demonstrate our theoretical results with several
numerical examples, including high-dimensional X-ray tomography and an inverse
heat conduction problem. In both of these examples, the intrinsic
low-dimensional structure of the inference problem can be exploited while
producing results that are essentially indistinguishable from solutions
computed in the full space
Recommended from our members
Clustering Scatter Plots Using Data Depth Measures.
Clustering is rapidly becoming a powerful data mining technique, and has been broadly applied to many domains such as bioinformatics and text mining. However, the existing methods can only deal with a data matrix of scalars. In this paper, we introduce a hierarchical clustering procedure that can handle a data matrix of scatter plots. To more accurately reflect the nature of data, we introduce a dissimilarity statistic based on "data depth" to measure the discrepancy between two bivariate distributions without oversimplifying the nature of the underlying pattern. We then combine hypothesis testing with hierarchical clustering to simultaneously cluster the rows and columns of the data matrix of scatter plots. We also propose novel painting metrics and construct heat maps to allow visualization of the clusters. We demonstrate the utility and power of our new clustering method through simulation studies and application to a microbe-host-interaction study
Cosmic Strings from Supersymmetric Flat Directions
Flat directions are a generic feature of the scalar potential in
supersymmetric gauge field theories. They can arise, for example, from D-terms
associated with an extra abelian gauge symmetry. Even when supersymmetry is
broken softly, there often remain directions in the scalar field space along
which the potential is almost flat. Upon breaking a gauge symmetry along one of
these almost flat directions, cosmic strings may form. Relative to the standard
cosmic string picture based on the abelian Higgs model, these flat-direction
cosmic strings have the extreme Type-I properties of a thin gauge core
surrounded by a much wider scalar field profile. We perform a comprehensive
study of the microscopic, macroscopic, and observational characteristics of
this class of strings. We find many differences from the standard string
scenario, including stable higher winding mode strings, the dynamical formation
of higher mode strings from lower ones, and a resultant multi-tension scaling
string network in the early universe. These strings are only moderately
constrained by current observations, and their gravitational wave signatures
may be detectable at future gravity wave detectors. Furthermore, there is the
interesting but speculative prospect that the decays of cosmic string loops in
the early universe could be a source of ultra-high energy cosmic rays or
non-thermal dark matter. We also compare the observational signatures of
flat-direction cosmic strings with those of ordinary cosmic strings as well as
(p,q) cosmic strings motivated by superstring theory.Comment: 58 pages, 16 figures, v2. accepted to PRD, added comments about
baryogenesis and boosted decay products from cusp annihilatio
- …