144 research outputs found
Weighted Frechet Means as Convex Combinations in Metric Spaces: Properties and Generalized Median Inequalities
In this short note, we study the properties of the weighted Frechet mean as a
convex combination operator on an arbitrary metric space, (Y,d). We show that
this binary operator is commutative, non-associative, idempotent, invariant to
multiplication by a constant weight and possesses an identity element. We also
treat the properties of the weighted cumulative Frechet mean. These tools allow
us to derive several types of median inequalities for abstract metric spaces
that hold for both negative and positive Alexandrov spaces. In particular, we
show through an example that these bounds cannot be improved upon in general
metric spaces. For weighted Frechet means, however, such inequalities can
solely be derived for weights equal or greater than one. This latter limitation
highlights the inherent difficulties associated with working with
abstract-valued random variables.Comment: 7 pages, 1 figure. Submitted to Probability and Statistics Letter
Hypothesis Testing For Network Data in Functional Neuroimaging
In recent years, it has become common practice in neuroscience to use
networks to summarize relational information in a set of measurements,
typically assumed to be reflective of either functional or structural
relationships between regions of interest in the brain. One of the most basic
tasks of interest in the analysis of such data is the testing of hypotheses, in
answer to questions such as "Is there a difference between the networks of
these two groups of subjects?" In the classical setting, where the unit of
interest is a scalar or a vector, such questions are answered through the use
of familiar two-sample testing strategies. Networks, however, are not Euclidean
objects, and hence classical methods do not directly apply. We address this
challenge by drawing on concepts and techniques from geometry, and
high-dimensional statistical inference. Our work is based on a precise
geometric characterization of the space of graph Laplacian matrices and a
nonparametric notion of averaging due to Fr\'echet. We motivate and illustrate
our resulting methodologies for testing in the context of networks derived from
functional neuroimaging data on human subjects from the 1000 Functional
Connectomes Project. In particular, we show that this global test is more
statistical powerful, than a mass-univariate approach. In addition, we have
also provided a method for visualizing the individual contribution of each edge
to the overall test statistic.Comment: 34 pages. 5 figure
Operability and Results of Retro and On-Going Commission Tools Applied to an Existing Building
Several tools in the scope of Annex 40 (PECI Model Commissioning Plan and
Guide specification, Emma-CTA, IPMVP) have been used to realise the retro and
the on-going commissioning of an existing building. The aim of the work was to
evaluate operability, consumed time, results of these tools used by HVAC
operation technicians. Analysis of making use of the different tools in a common
framework is proposed, giving feedback information to creative authors
The Infrared Continuum Sizes of Be Star Disks
We present an analysis of the near-infrared continuum emission from the
circumstellar gas disks of Be stars using a radiative transfer code for a
parametrized version of the viscous decretion disk model. This isothermal gas
model creates predicted images that we use to estimate the HWHM emission radius
along the major axis of the projected disk and the spatially integrated flux
excess at wavelengths of 1.7, 2.1, 4.8, 9, and 18 ?m. We discuss in detail the
effect of the disk base density, inclination angle, stellar effective
temperature, and other physical parameters on the derived disk sizes and color
excesses. We calculate color excess estimates relative to the stellar V -band
flux for a sample of 130 Be stars using photometry from 2MASS and the AKARI
infrared camera all-sky survey. The color excess relations from our models make
a good match of the observed color excesses of Be stars. We also present our
results on the projected size of the disk as a function of wavelength for the
classical Be star ? Tauri, and we show that the model predictions are
consistent with interferometric observations in the H, K', and 12 \mu m bands
Astrometric orbits of SB9 stars
Hipparcos Intermediate Astrometric Data (IAD) have been used to derive
astrometric orbital elements for spectroscopic binaries from the newly released
Ninth Catalogue of Spectroscopic Binary Orbits (SB9). Among the 1374 binaries
from SB9 which have an HIP entry, 282 have detectable orbital astrometric
motion (at the 5% significance level). Among those, only 70 have astrometric
orbital elements that are reliably determined (according to specific
statistical tests discussed in the paper), and for the first time for 20
systems, representing a 10% increase relative to the 235 DMSA/O systems already
present in the Hipparcos Double and Multiple Systems Annex.
The detection of the astrometric orbital motion when the Hipparcos IAD are
supplemented by the spectroscopic orbital elements is close to 100% for
binaries with only one visible component, provided that the period is in the 50
- 1000 d range and the parallax is larger than 5 mas. This result is an
interesting testbed to guide the choice of algorithms and statistical tests to
be used in the search for astrometric binaries during the forthcoming ESA Gaia
mission.
Finally, orbital inclinations provided by the present analysis have been used
to derive several astrophysical quantities. For instance, 29 among the 70
systems with reliable astrometric orbital elements involve main sequence stars
for which the companion mass could be derived. Some interesting conclusions may
be drawn from this new set of stellar masses, like the enigmatic nature of the
companion to the Hyades F dwarf HIP 20935. This system has a mass ratio of 0.98
but the companion remains elusive.Comment: Astronomy & Astrophysics, in press (16 pages, 12 figures); also
available at http://www.astro.ulb.ac.be/Html/ps.html#Astrometr
The Sludge Dewaterability in Advanced Wastewater Treatment: A Survey of Four Different Membrane BioReactor Pilot Plants
The wasted activated sludge dewaterability represents a major concern
for Wastewater Treatment Plants (WWTPs) managers. Indeed, whereas the
dewatered sludge could represents a re-usable matrix, the principal drawback
related to the wasted sludge dewaterability is the high water content due to the
presence of extracellular polymeric substances (EPS) that allow the trapping of
water molecules within the bio sludge flocs. In order to provide an outlook of
the dewaterability features of activated sludge derived from advanced WWTP,
the present research reports a long term survey (over two years) aimed at
assessing the principal dewaterability parameters of the sludge wasted from
different Membrane BioReactor pilot plants
An ant colony-based semi-supervised approach for learning classification rules
Semi-supervised learning methods create models from a few labeled instances and a great number of unlabeled instances. They appear as a good option in scenarios where there is a lot of unlabeled data and the process of labeling instances is expensive, such as those where most Web applications stand. This paper proposes a semi-supervised self-training algorithm called Ant-Labeler. Self-training algorithms take advantage of supervised learning algorithms to iteratively learn a model from the labeled instances and then use this model to classify unlabeled instances. The instances that receive labels with high confidence are moved from the unlabeled to the labeled set, and this process is repeated until a stopping criteria is met, such as labeling all unlabeled instances. Ant-Labeler uses an ACO algorithm as the supervised learning method in the self-training procedure to generate interpretable rule-based models—used as an ensemble to ensure accurate predictions. The pheromone matrix is reused across different executions of the ACO algorithm to avoid rebuilding the models from scratch every time the labeled set is updated. Results showed that the proposed algorithm obtains better predictive accuracy than three state-of-the-art algorithms in roughly half of the datasets on which it was tested, and the smaller the number of labeled instances, the better the Ant-Labeler performance
Nitrogen-limited mangrove ecosystems conserve N through dissimilatory nitrate reduction to ammonium
Earlier observations in mangrove sediments of Goa, India have shown denitrification to be a major pathway for N loss1. However, percentage of total nitrate transformed through complete denitrification accounted for <0–72% of the pore water nitrate reduced. Here, we show that up to 99% of nitrate removal in mangrove sediments is routed through dissimilatory nitrate reduction to ammonium (DNRA). The DNRA process was 2x higher at the relatively pristine site Tuvem compared to the anthropogenically-influenced Divar mangrove ecosystem. In systems receiving low extraneous nutrient inputs, this mechanism effectively conserves and re-circulates N minimizing nutrient loss that would otherwise occur through denitrification. In a global context, the occurrence of DNRA in mangroves has important implications for maintaining N levels and sustaining ecosystem productivity. For the first time, this study also highlights the significance of DNRA in buffering the climate by modulating the production of the greenhouse gas nitrous oxide
Shock compression experiments using the DiPOLE 100-X laser on the high energy density instrument at the European x-ray free electron laser: quantitative structural analysis of liquid Sn
X-ray free electron laser (XFEL) sources coupled to high-power laser systems offer an avenue to study the structural dynamics of materials at extreme pressures and temperatures. The recent commissioning of the DiPOLE 100-X laser on the high energy density (HED) instrument at the European XFEL represents the state-of-the-art in combining x-ray diffraction with laser compression, allowing for compressed materials to be probed in unprecedented detail. Here, we report quantitative structural measurements of molten Sn compressed to 85(5) GPa and ∼ 3500 K. The capabilities of the HED instrument enable liquid density measurements with an uncertainty of ∼ 1 % at conditions which are extremely challenging to reach via static compression methods. We discuss best practices for conducting liquid diffraction dynamic compression experiments and the necessary intensity corrections which allow for accurate quantitative analysis. We also provide a polyimide ablation pressure vs input laser energy for the DiPOLE 100-X drive laser which will serve future users of the HED instrument
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