1,409 research outputs found
A Spatial Investigation of ƒÐ-Convergence in China
Using techniques of spatial econometrics, this paper investigates ƒÐ-convergence of provincial real per capita gross domestic product (GDP) in China. The empirical evidence concludes that spatial dependence across regions is strong enough to distort the traditional measure of ƒÐ-convergence. This study focuses on the variation of per capita GDP that is dependent on the development processes of neighboring provinces and cities. This refinement of the conditional ƒÐ-convergence model specification allows for analysis of spatial dependence in the mean and variance. The corrected measure of ƒÐ-convergence in China indicates a lower level of dispersion in the economic development process. This implies a smaller divergence in real per capita GDP, although convergence across regions is still a challenging goal to achieve in the 2000s.ƒÐ-Convergence, Moran's index, spatial dependence, spatial lag
Improved Bounds for Sampling Solutions of Random CNF Formulas
Let be a random -CNF formula on variables and clauses,
where each clause is a disjunction of literals chosen independently and
uniformly. Our goal is to sample an approximately uniform solution of
(or equivalently, approximate the partition function of ).
Let be the density. The previous best algorithm runs in time
for any [Galanis,
Goldberg, Guo, and Yang, SIAM J. Comput.'21]. Our result significantly improves
both bounds by providing an almost-linear time sampler for any
.
The density captures the \emph{average degree} in the random
formula. In the worst-case model with bounded \emph{maximum degree}, current
best efficient sampler works up to degree bound [He, Wang, and Yin,
FOCS'22 and SODA'23], which is, for the first time, superseded by its
average-case counterpart due to our bound. Our result is the first
progress towards establishing the intuition that the solvability of the
average-case model (random -CNF formula with bounded average degree) is
better than the worst-case model (standard -CNF formula with bounded maximal
degree) in terms of sampling solutions.Comment: 51 pages, all proofs added, and bounds slightly improve
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Urban mobility in Urban Design
This design research focus on how to make spaces for food mobility, by improving the quality of public space, making the transportation system more efficient, enhancing the cultural features and providing a good lifestyle in urban city.Architectur
Compressive Holographic Video
Compressed sensing has been discussed separately in spatial and temporal
domains. Compressive holography has been introduced as a method that allows 3D
tomographic reconstruction at different depths from a single 2D image. Coded
exposure is a temporal compressed sensing method for high speed video
acquisition. In this work, we combine compressive holography and coded exposure
techniques and extend the discussion to 4D reconstruction in space and time
from one coded captured image. In our prototype, digital in-line holography was
used for imaging macroscopic, fast moving objects. The pixel-wise temporal
modulation was implemented by a digital micromirror device. In this paper we
demonstrate temporal super resolution with multiple depths recovery
from a single image. Two examples are presented for the purpose of recording
subtle vibrations and tracking small particles within 5 ms.Comment: 12 pages, 6 figure
Parameter inference for coalescing massive black hole binaries using deep learning
In the 2030s, a new era of gravitational-wave (GW) observations will dawn as
multiple space-based GW detectors, such as the Laser Interferometer Space
Antenna, Taiji and TianQin, open the millihertz window for GW astronomy. These
detectors are poised to detect a multitude of GW signals emitted by different
sources. It is a challenging task for GW data analysis to recover the
parameters of these sources at a low computational cost. Generally, the matched
filtering approach entails exploring an extensive parameter space for all
resolvable sources, incurring a substantial cost owing to the generation of GW
waveform templates. To alleviate the challenge, we make an attempt to perform
parameter inference for coalescing massive black hole binaries (MBHBs) using
deep learning. The model trained in this work has the capability to produce
50,000 posterior samples for redshifted total mass, mass ratio, coalescence
time and luminosity distance of a MBHB in about twenty seconds. Our model can
serve as a potent data pre-processing tool, reducing the volume of parameter
space by more than four orders of magnitude for MBHB signals with a
signal-to-noise ratio larger than 100. Moreover, the model exhibits robustness
when handling input data that contains multiple MBHB signals.Comment: 8 pages, 4 figure
WaveFormer: transformer-based denoising method for gravitational-wave data
With the advent of gravitational-wave astronomy and the discovery of more
compact binary coalescences, data quality improvement techniques are desired to
handle the complex and overwhelming noise in gravitational wave (GW)
observational data. Though recent machine learning-based studies have shown
promising results for data denoising, they are unable to precisely recover both
the GW signal amplitude and phase. To address such an issue, we develop a deep
neural network centered workflow, WaveFormer, for significant noise suppression
and signal recovery on observational data from the Laser Interferometer
Gravitational-Wave Observatory (LIGO). The WaveFormer has a science-driven
architecture design with hierarchical feature extraction across a broad
frequency spectrum. As a result, the overall noise and glitch are decreased by
more than one order of magnitude and the signal recovery error is roughly 1%
and 7% for the phase and amplitude, respectively. Moreover, on 75 reported
binary black hole (BBH) events of LIGO we obtain a significant improvement of
inverse false alarm rate. Our work highlights the potential of large neural
networks in gravitational wave data analysis and, while primarily demonstrated
on LIGO data, its adaptable design indicates promise for broader application
within the International Gravitational-Wave Observatories Network (IGWN) in
future observational runs
Novel properties and potential applications of functional ligand-modified polyoxotitanate cages.
Functional ligand-modified polyoxotitanate (L-POT) cages of the general type [TixOy(OR)z(L)m] (OR = alkoxide, L = functional ligand) can be regarded as molecular fragments of surface-sensitized solid-state TiO2, and are of value as models for studying the interfacial charge and energy transfer between the bound functional ligands and a bulk semiconductor surface. These L-POTs have also had a marked impact in many other research fields, such as single-source precursors for TiO2 deposition, inorganic-organic hybrid material construction, photocatalysis, photoluminescence, asymmetric catalysis and gas adsorption. Their atomically well-defined structures provide the basis for the understanding of structure/property relationships and ultimately for the rational design of new cages targeting specific uses. This highlight focuses on recent advances in L-POTs research, with emphasis on their novel properties and potential applications.EPSRCThis is the final version of the article. It first appeared from Royal Society of Chemistry via https://doi.org/10.1039/C6CC03788G
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