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Unsupervised metric fusion by cross diffusion

2012 IEEE Conference on Computer Vision and Pattern Recognition, 2012
Metric learning is a fundamental problem in computer vision. Different features and algorithms may tackle a problem from different angles, and thus often provide complementary information. In this paper, we propose a fusion algorithm which outputs enhanced metrics by combining multiple given metrics (similarity measures). Unlike traditional co-training
null Bo Wang   +4 more
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Cross-Diffusion Systems

2016
Cross-diffusion models are systems of strongly coupled parabolic equations. In Sect. 4.1, we present some known examples arising in cell biology and thermodynamics. The derivation of these models from on-lattice models or fluid equations for mixtures is sketched in Sect. 4.2, using results from Ostrander, SIAM Undergrad, Res, 4, 2011, [53], Jackson and
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PEB model with cross-diffusion

SPIE Proceedings, 2003
ABSTRACT In multi-component chemical systems, thermodynamic fluxes linearly depend on thermodynamic forces through thematrix of Onsager’s coefficients. By applying Onsager ’s relationship to the PEB diffusion of acid and other relevantchemical components, we deducted a generalization of the traditional PEB diffusion-reaction equations.
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Stochastic PDEs with cross-diffusion effects

2022
Wir beweisen die Existenz von globalen Martingalllösungen für eine allgemeine Klasse von Kreuzdiffusionssystemen unter dem Einfluss multiplikativen Rauschens. Die betrachteten Gleichungen beschreiben Mehrkomponentensysteme, welche aus physikalischen oder biologischen Anwendungen stammen. In den meisten Fällen sind die Diffusionsmatrizen dieser Probleme
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Chemotactic cross-diffusion in complex frameworks

Mathematical Models and Methods in Applied Sciences, 2016
The papers published in a special issue devoted to chemotactic cross-diffusion in complex frameworks are presented. A brief discussion of their contents aims at opening some perspectives for possible future research.
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Negative refractoriness in excitable systems with cross-diffusion

Biophysics, 2009
The results of numerical experiments with mathematical models of excitable systems with cross-diffusion are presented. It was shown that the refractoriness in such systems may be negative. The effects of negative refractoriness on the propagation and interaction of waves are demonstrated.
M A, Tsyganov   +2 more
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CROSS-DIFFUSION INDUCED INSTABILITY IN LVLEV–TANNER MODEL

International Journal of Biomathematics, 2011
A Lvlev–Tanner model with cross-diffusion is considered. We analyze the positive uniform steady state and obtain conditions on the parameter values such that the homogeneous steady state is locally asymptotically stable both in the related ODE system and in the PDE system with self-diffusion.
Gan, Wenzhen, Zhu, Peng, Bao, Jie
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Two ways of modelling cross-diffusion

Nonlinear Analysis: Theory, Methods & Applications, 1997
Two substances with densities \(u(t,x)\), \(v(t,x)\) at time \(t\) and place \(x\) are considered. The substance \(u\) flows from places where its density is high towards the density is low; the substance \(v\) has an attracting or repelling effect on \(u\). By a standard procedure it is obtained the system \[ u_t=f(u,v) +\text{div} (d_{11} \text{gradu}
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Negative ionic cross diffusion coefficients in electrolytic solutions

Journal of Theoretical Biology, 1975
All existing experimental examples of oscillating homogeneous chemical reactions and dissipative structures involve ionic systems. The linear stability analysis is applied to electrolytic solutions by including diffusion potential and ionic migration effects.
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Cross-diffusion models in population dynamics

2019
This work focuses on the so-called SKT model, a non-linear cross-diusion model which aims at modelling the (time and space dependent) density functions of two interacting species in the eld of population dynamics. This model was published by Nanako Shigesada, Kohkichi Kawasaki and Ei Teramoto in 1979.
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