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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analysis of score-based generative models
分数 生成 模型分析
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2023/4/21
Score-based generative modeling (SGM) is a highly successful approach for learning a probability distribution from data and generating further samples, based on learning the score function (gradient o...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
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2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Multifractal analysis linearization effect compound Poisson motion
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2011/3/3
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
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2010/12/28
The analysis of evolution equations such as ordinary or partial differential equations
often splits into two different directions. One either makes minimal assumptions about
their structure and trie...
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
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2011/2/24
The analysis of evolution equations such as ordinary or partial differential equations often splits into two different directions. One either makes minimal assumptions about their structure and tries ...
Analysis of kinematic waves arising in diverging traffic flow models
Kinematic wave models diverging traffic Riemann problem supply-demand space
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2010/12/13
Diverging junctions are important network bottlenecks, and a better understanding of diverging
traffic dynamics has both theoretical and practical implications. In this paper, we first
introduce a c...