1,865 research outputs found
Bayesian Synthesis: Combining subjective analyses, with an application to ozone data
Bayesian model averaging enables one to combine the disparate predictions of
a number of models in a coherent fashion, leading to superior predictive
performance. The improvement in performance arises from averaging models that
make different predictions. In this work, we tap into perhaps the biggest
driver of different predictions---different analysts---in order to gain the
full benefits of model averaging. In a standard implementation of our method,
several data analysts work independently on portions of a data set, eliciting
separate models which are eventually updated and combined through a specific
weighting method. We call this modeling procedure Bayesian Synthesis. The
methodology helps to alleviate concerns about the sizable gap between the
foundational underpinnings of the Bayesian paradigm and the practice of
Bayesian statistics. In experimental work we show that human modeling has
predictive performance superior to that of many automatic modeling techniques,
including AIC, BIC, Smoothing Splines, CART, Bagged CART, Bayes CART, BMA and
LARS, and only slightly inferior to that of BART. We also show that Bayesian
Synthesis further improves predictive performance. Additionally, we examine the
predictive performance of a simple average across analysts, which we dub Convex
Synthesis, and find that it also produces an improvement.Comment: Published in at http://dx.doi.org/10.1214/10-AOAS444 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
The lost sunspot cycle: New support from Be10 measurements
It has been suggested that the deficit in the number of spots on the surface
of the Sun between 1790 and 1830, known as the Dalton minimum, contained an
extra cycle that was not identified in the original sunspot record by Wolf.
Though this cycle would be shorter and weaker than the average solar cycle, it
would shift the magnetic parity of the solar magnetic field of the earlier
cycles. This extra cycle is sometimes referred to as the 'lost solar cycle' or
'cycle 4b'. Here we reanalyse Be10 measurements with annual resolution from the
NGRIP ice core in Greenland in order to investigate if the hypothesis regarding
a lost sunspot cycle is supported by these measurements. Specifically, we make
use of the fact that the Galactic cosmic rays, responsible for forming Be10 in
the Earth's atmosphere, are affected differently by the open solar magnetic
field during even and odd solar cycles. This fact enables us to evaluate if the
numbering of cycles earlier than cycle 5 is correct. For the evaluation, we use
Bayesian analysis, which reveals that the lost sunspot cycle hypothesis is
likely to be correct. We also discuss if this cycle 4b is a real cycle, or a
phase catastrophe, and what implications this has for our understanding of
stellar activity cycles in general.Comment: accepted for publication in A&
Mitochondrial and nuclear genes suggest that stony corals are monophyletic but most families of stony corals are not (Order Scleractinia, Class Anthozoa, Phylum Cnidaria)
Modern hard corals (Class Hexacorallia; Order Scleractinia) are widely studied because of their fundamental role in reef
building and their superb fossil record extending back to the Triassic. Nevertheless, interpretations of their evolutionary
relationships have been in flux for over a decade. Recent analyses undermine the legitimacy of traditional suborders,
families and genera, and suggest that a non-skeletal sister clade (Order Corallimorpharia) might be imbedded within the
stony corals. However, these studies either sampled a relatively limited array of taxa or assembled trees from heterogeneous
data sets. Here we provide a more comprehensive analysis of Scleractinia (127 species, 75 genera, 17 families) and various
outgroups, based on two mitochondrial genes (cytochrome oxidase I, cytochrome b), with analyses of nuclear genes (ßtubulin,
ribosomal DNA) of a subset of taxa to test unexpected relationships. Eleven of 16 families were found to be
polyphyletic. Strikingly, over one third of all families as conventionally defined contain representatives from the highly
divergent "robust" and "complex" clades. However, the recent suggestion that corallimorpharians are true corals that have
lost their skeletons was not upheld. Relationships were supported not only by mitochondrial and nuclear genes, but also
often by morphological characters which had been ignored or never noted previously. The concordance of molecular
characters and more carefully examined morphological characters suggests a future of greater taxonomic stability, as well as
the potential to trace the evolutionary history of this ecologically important group using fossils
An efficient probe of the cosmological CPT violation
We develop an efficient method based on the linear regression algorithm to
probe the cosmological CPT violation using the CMB polarisation data. We
validate this method using simulated CMB data and apply it to recent CMB
observations. We find that a combined data sample of BICEP1 and BOOMERanG 2003
favours a nonzero isotropic rotation angle at confidence level, ie,
deg (68% CL) with systematics included.Comment: 10 pages, 5 figures, 2 tables. The published versio
Information-technology approach to quantum feedback control
Quantum control theory is profitably reexamined from the perspective of
quantum information, two results on the role of quantum information technology
in quantum feedback control are presented and two quantum feedback control
schemes, teleportation-based distant quantum feedback control and quantum
feedback control with quantum cloning, are proposed. In the first feedback
scheme, the output from the quantum system to be controlled is fed back into
the distant actuator via teleportation to alter the dynamics of system. The
result theoretically shows that it can accomplish some tasks such as distant
feedback quantum control that Markovian or Bayesian quantum feedback can't
complete. In the second feedback strategy, the design of quantum feedback
control algorithms is separated into a state recognition step, which gives
"on-off" signal to the actuator through recognizing some copies from the
cloning machine, and a feedback (control) step using another copies of cloning
machine. A compromise between information acquisition and measurement
disturbance is established, and this strategy can perform some quantum control
tasks with coherent feedback.Comment: 10 pages,submitte
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