60,736 research outputs found
Poisson brackets and Poisson spectra in polynomial algebras
Poisson brackets on the polynomial algebra C[x,y,z] are studied. A
description of all such brackets is given and, for a significant class of
Poisson brackets, the Poisson prime ideals and Poisson primitive ideals are
determined. The results are illustrated by numerous examples.Comment: includes minor corrections to published versio
Crowd Counting with Decomposed Uncertainty
Research in neural networks in the field of computer vision has achieved
remarkable accuracy for point estimation. However, the uncertainty in the
estimation is rarely addressed. Uncertainty quantification accompanied by point
estimation can lead to a more informed decision, and even improve the
prediction quality. In this work, we focus on uncertainty estimation in the
domain of crowd counting. With increasing occurrences of heavily crowded events
such as political rallies, protests, concerts, etc., automated crowd analysis
is becoming an increasingly crucial task. The stakes can be very high in many
of these real-world applications. We propose a scalable neural network
framework with quantification of decomposed uncertainty using a bootstrap
ensemble. We demonstrate that the proposed uncertainty quantification method
provides additional insight to the crowd counting problem and is simple to
implement. We also show that our proposed method exhibits the state of the art
performances in many benchmark crowd counting datasets.Comment: Accepted in AAAI 2020 (Main Technical Track
Axial anomaly and the delta_{LT} puzzle
The axial anomaly contribution to generalized longitudinal-transverse
polarizability is calculated within Regge approach. It is
shown that the contribution from the exchange of the Regge
trajectory is nontrivial and might have the key role to explain the large
difference between the predictions of chiral perturbation theory and the
experimental data for the neutron . We also present the
prediction for the proton , which will be measured at the
Thomas Jefferson National Accelerator Facility in near future.Comment: 5 pages, 3 figures, REVTeX, to be published in Phys. Rev.
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