34,880 research outputs found
The bifurcation diagrams for the Ginzburg-Landau system for superconductivity
In this paper, we provide the different types of bifurcation diagrams for a
superconducting cylinder placed in a magnetic field along the direction of the
axis of the cylinder. The computation is based on the numerical solutions of
the
Ginzburg-Landau model by the finite element method. The response of the
material depends on the values of the exterior field, the Ginzburg-Landau
parameter and the size of the domain.
The solution branches in the different regions of the bifurcation diagrams
are analyzed and open mathematical problems are mentioned.Comment: 16 page
Inside the Black Box: Price Linkage and Transmission Between Energy and Agricultural Markets
This study addresses the complex relationship between energy and agricultural markets—represented by corn, ethanol, and gasoline prices—particularly in light of the growth in biofuel production. Contemporaneous price response and transmission of market shocks are investigated in a simultaneous-equation system to disclose fundamental driving forces before and after the development of large-scale ethanol production. We use a dynamic conditional correlation multivariate GARCH model to demonstrate a strengthening relationship among corn, ethanol, and gasoline prices. We identify a structural change point at March 25, 2008 using the test by Bai and Perron (2003). The strengthened market relationship is further illustrated by variance decomposition based on a structural VAR model.corn, ethanol, gasoline, structural break, Structural VAR, GARCH, Agricultural and Food Policy, Demand and Price Analysis, Research Methods/ Statistical Methods, Resource /Energy Economics and Policy, C32, Q11, Q4,
A quasinonlocal coupling method for nonlocal and local diffusion models
In this paper, we extend the idea of "geometric reconstruction" to couple a
nonlocal diffusion model directly with the classical local diffusion in one
dimensional space. This new coupling framework removes interfacial
inconsistency, ensures the flux balance, and satisfies energy conservation as
well as the maximum principle, whereas none of existing coupling methods for
nonlocal-to-local coupling satisfies all of these properties. We establish the
well-posedness and provide the stability analysis of the coupling method. We
investigate the difference to the local limiting problem in terms of the
nonlocal interaction range. Furthermore, we propose a first order finite
difference numerical discretization and perform several numerical tests to
confirm the theoretical findings. In particular, we show that the resulting
numerical result is free of artifacts near the boundary of the domain where a
classical local boundary condition is used, together with a coupled fully
nonlocal model in the interior of the domain
Semi-supervised Deep Generative Modelling of Incomplete Multi-Modality Emotional Data
There are threefold challenges in emotion recognition. First, it is difficult
to recognize human's emotional states only considering a single modality.
Second, it is expensive to manually annotate the emotional data. Third,
emotional data often suffers from missing modalities due to unforeseeable
sensor malfunction or configuration issues. In this paper, we address all these
problems under a novel multi-view deep generative framework. Specifically, we
propose to model the statistical relationships of multi-modality emotional data
using multiple modality-specific generative networks with a shared latent
space. By imposing a Gaussian mixture assumption on the posterior approximation
of the shared latent variables, our framework can learn the joint deep
representation from multiple modalities and evaluate the importance of each
modality simultaneously. To solve the labeled-data-scarcity problem, we extend
our multi-view model to semi-supervised learning scenario by casting the
semi-supervised classification problem as a specialized missing data imputation
task. To address the missing-modality problem, we further extend our
semi-supervised multi-view model to deal with incomplete data, where a missing
view is treated as a latent variable and integrated out during inference. This
way, the proposed overall framework can utilize all available (both labeled and
unlabeled, as well as both complete and incomplete) data to improve its
generalization ability. The experiments conducted on two real multi-modal
emotion datasets demonstrated the superiority of our framework.Comment: arXiv admin note: text overlap with arXiv:1704.07548, 2018 ACM
Multimedia Conference (MM'18
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