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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Minimal model program for generalized pairs
广义对 最小 模型程序
2023/4/23
Generalized pairs are a natural structure in birational geometry that first appeared in Kodaira’s canonical bundle formula for elliptic fibrations. They were formally introduced by Birkar and Zhang in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Review supply chain resilience and research prospect
供应链 弹性 研究前景 灾害影响分析 定量经济模型
2023/4/18
In this paper, we review the different dimensions of supply chain resilience and propose that supply chain resilience should be measured in a more integrated way. We review the quantitative economic m...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analysis of score-based generative models
分数 生成 模型分析
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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A decomposition of pollution intensity in China's value-added trade
中国 增值贸易 污染强度 分解
2023/4/24
Based on a multi-regional input-output model, this study explores the temporal changes and driving forces of China's environmental losses relative to its economic gains from international trade with e...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamics of a Nutrient-Phytoplankton Model with Random Phytoplankton Mortality
随机浮游植物死亡率 营养-浮游植物 模型动力学
2023/4/28
In this talk, we investigate a stochastic nutrient-phytoplankton model which incorporates the effect of white noise on phytoplankton growth. The global existence and uniqueness of a positive solution,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Social-Network-Inspired Breast Cancer Risk Assessment Model
社交网络启发 乳腺癌 风险评估 模型
2023/5/5
The pathogenesis of breast cancer is not the same in all countries and regions; therefore, some existing breast cancer risk assessment models are not well adapted to all countries and regions, includi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peakon Models II: Weak-kink, interactions with peakon, and Remedies
Peakon模型 弱扭结 相互作用 补救措施
2023/5/8
In the 2nd part of the series talks, I will introduce the new phenomena of weak-kink and its interaction with regular peakons which we recently developed. Such models include cubic Camassa-Holm (CH) t...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peakon Models I: Scalar Form
标量形式 Peakon模型 标量峰值模型
2023/5/8
In this talk, I will majorly focus on the scalar peakon models developed in the last 30 years. Most integrable peakon equations come from the negative order flow in the hierarchy. I will take some exa...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Borel conjecture for the torus and the splitting of surgery sets
环面 Borel猜想 外科手术集 分裂
2023/5/10
The Borel conjecture considers the obstruction from homotopy equivalence to homeomorphism for aspherical manifolds. The torus is the first computed case of Borel conjecture with the idea of splitting ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Group-Orthogonal Subsampling for Big Data Linear Mixed Models
大数据 线性混合模型 群正交 子采样
2023/5/10
Linear mixed model is a popular and common modeling method in statistical analysis. It is computationally difficult to obtain parameter estimates in linear mixed model for big data. The current subsam...