5,237 research outputs found
Electromagnetic counterparts of high-frequency gravitational waves having additional polarization states: distinguishing and probing tensor-mode, vector-mode and scalar-mode gravitons
GWs from extra dimensions, very early universe, and some high-energy
astrophysical process, might have at most six polarizations: plus- and
cross-type (tensor-mode gravitons), x-, y-type (vector-mode), and b-, l-type
(scalar-mode). Peak or partial peak regions of some of such GWs are just
distributed in GHz or higher frequency band, which would be optimal band for
electromagnetic(EM) response. In this paper we investigate EM response to such
high-frequency GWs(HFGWs) having additional polarizations. For the first time
we address:(1)concrete forms of analytic solutions for perturbed EM fields
caused by HFGWs having all six possible polarizations in background stable EM
fields; (2)perturbed EM signals of HFGWs with additional polarizations in
three-dimensional-synchro-resonance-system(3DSR system) and in
galactic-extragalactic background EM fields. These perturbative EM fields are
actually EM counterparts of HFGWs, and such results provide a novel way to
simultaneously distinguish and display all possible six polarizations. It is
also shown: (i)In EM response, pure cross-, x-type and pure y-type
polarizations can independently generate perturbative photon fluxes(PPFs,
signals), while plus-, b- and l-type polarizations produce PPFs in different
combination states. (ii) All such six polarizations have separability and
detectability. (iii)In EM response to HFGWs from extra-dimensions,
distinguishing and displaying different polarizations would be quite possible
due to their very high frequencies, large energy densities and special
properties of spectrum. (iv)Detection band(10^8 to 10^12 Hz or higher) of PPFs
by 3DSR and observation range(7*10^7 to 3*10^9 Hz) of PPFs by FAST
(Five-hundred-meter-Aperture-Spherical Telescope, China), have a certain
overlapping property, so their coincidence experiments will have high
complementarity.Comment: 27 pages, 16 figure
Quasi-two-body decays in the perturbative QCD approach
We study the quasi-two-body decays by employing
the perturbative QCD approach. The two-meson distribution amplitudes
\Phi_{K\pi}^{\text{P-wave}} are adopted to describe the final state
interactions of the kaon-pion pair in the resonance region. The resonance line
shape for the -wave component in the time-like form factor
is parameterized by the relativistic Breit-Wigner function. For
most considered decay modes, the theoretical predictions for their branching
ratios are consistent with currently available experimental measurements within
errors. We also disscuss some ratios of the branching fractions of the
concerned decay processes. More precise data from LHCb and Belle-II are
expected to test our predictions.Comment: 10 pages, 3 figures and 2 tables.To be published in EPJ
Single-Shot Refinement Neural Network for Object Detection
For object detection, the two-stage approach (e.g., Faster R-CNN) has been
achieving the highest accuracy, whereas the one-stage approach (e.g., SSD) has
the advantage of high efficiency. To inherit the merits of both while
overcoming their disadvantages, in this paper, we propose a novel single-shot
based detector, called RefineDet, that achieves better accuracy than two-stage
methods and maintains comparable efficiency of one-stage methods. RefineDet
consists of two inter-connected modules, namely, the anchor refinement module
and the object detection module. Specifically, the former aims to (1) filter
out negative anchors to reduce search space for the classifier, and (2)
coarsely adjust the locations and sizes of anchors to provide better
initialization for the subsequent regressor. The latter module takes the
refined anchors as the input from the former to further improve the regression
and predict multi-class label. Meanwhile, we design a transfer connection block
to transfer the features in the anchor refinement module to predict locations,
sizes and class labels of objects in the object detection module. The
multi-task loss function enables us to train the whole network in an end-to-end
way. Extensive experiments on PASCAL VOC 2007, PASCAL VOC 2012, and MS COCO
demonstrate that RefineDet achieves state-of-the-art detection accuracy with
high efficiency. Code is available at https://github.com/sfzhang15/RefineDetComment: 14 pages, 7 figures, 7 table
Nearly Optimal Stochastic Approximation for Online Principal Subspace Estimation
Processing streaming data as they arrive is often necessary for high
dimensional data analysis. In this paper, we analyse the convergence of a
subspace online PCA iteration, as a followup of the recent work of Li, Wang,
Liu, and Zhang [Math. Program., Ser. B, DOI 10.1007/s10107-017-1182-z] who
considered the case for the most significant principal component only, i.e., a
single vector. Under the sub-Gaussian assumption, we obtain a finite-sample
error bound that closely matches the minimax information lower bound of Vu and
Lei [Ann. Statist. 41:6 (2013), 2905-2947].Comment: 37 page
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