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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：基于stPCA降维算法的ICU病人出院策略法
stPCA降维算法 ICU病人 出院策略法
2023/12/11
许多复杂生物系统可以由高维非线性动力系统描述，对原始数据进行降维有助于对这些系统进行有效分析。然而以一种可解释的方式进行极致低尺度的降维仍然是一个具有挑战性的问题。基于Takens延迟嵌入理论，将高维空间信息转换为低维时间信息，我们开发了极致低降维算法stPCA，并将其应用于重症监护医疗信息管理系统MIMIC-III和MIMIC-IV数据集，提出了ICU病人的出院决策。stPCA基于ICU患者的高...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Development of Science: Past and Present What about the future? A publisher’s point of view
出版史 传播 人工智能
2023/12/11
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Development of Science: Past and Present What about the future? A publisher’s point of view.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global large strong solutions to the 2D radially symmetric compressible Navier-Stokes equations on bounded domain
有界域 二维径向对称 可压缩Navier-Stokes方程 全局大强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible Navier-Stokes equations with density-dependent viscosity. Under the condition of beta>1, we prove the global exist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
引力 欧拉方程 高阶间断 Galerkin方法
2023/11/29
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Occupation fields for Markov loops
马尔可夫循环 占用域 格林函数
2023/11/29
In this talk, we introduce occupation fields for vertices and oriented edges and compute their distributions. More precisely, under the Markov loop measure, the expected number for crossings of an ori...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear potentials at the fractional scale:sharp regularity
分数尺度 非线性势 尖锐 正则性
2023/11/29
Nonlinear potential theory and elliptic regularity theory are two classical topics in the modern analysis of partial differential equations. In this talk I show how these themes merge to solve the lon...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Adaptive stabilization of non-cooperative stochastic differential games
非合作 随机微分对策 自适应镇定
2023/11/29
We considers the adaptive stabilization problem for a basic class of linear-quadratic non-cooperative stochastic differential games when the systems matrices are unknown to the regulator and the playe...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Distributed sparse identification theory and method
分布式 稀疏识别 理论方法
2023/11/29
In this talk, we will consider the distributed sparse identification problem over wireless sensor networks such that all sensors cooperatively estimate the unknown sparse parameter vector of stochasti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(7)&(8)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kerr-Newman型时空中Majorana费米子的存在性问题
Kerr-Newman型时空 Majorana费米子 存在性
2023/11/29
Dirac方程最初是Dirac为解决Minkowski时空中Klein—Gordon方程的粒子的负几率与负能问题建立的。1980年，Weinberg和Witten证明了引力无法量子化，所以为了将引力引入量子场论中，数学和物理学家将平直时空的Dirac方程推广到弯曲时空的Dirac方程，弯曲时空Dirac方程表示了任一自由费米子物质场在时空背景所应满足的场方程，是宇宙学研究的核心问题。2000年Fi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：基于阻塞效应的可变刚度结构和材料在软体机器人领域中的应用
阻塞效应 可变刚度结构 材料 软体机器人
2023/11/29
软体机器人是智能机器人领域中的新兴方向，以其可大范围变形、可变材料性质的物理特征和复杂环境适应性强、人机交互安全性高的应用优势而受到广泛关注。基于阻塞效应（jamming transition）的可变刚度性质是软体机器人独有的全新属性，从材料上赋予了机器人“刚柔并济”的能力，不仅能增强机器人适应不同工件或者周围环境的能力，还可应用于人机交互的机器人以提高安全性。和其他软体机器人可变刚度基于阻塞效应...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Laplacian estimates for the cscK equation
cscK方程 拉普拉斯估计 Nash-Moser迭代
2023/11/29
We will report Chen-Cheng’s work on cscK equations. We derive the Laplacian bound using Nash-Moser iteration.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random phase approximation for the mean-field electron gas （3）
平均场 电子气 随机相位近似
2023/11/29
Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analytic smoothing effect of a class of ultra-parabolic equations
一类超抛物型方程 解析 光滑效应
2023/11/29
We study a class of ultra-parabolic equations, it is a high order degenerate parabolic operators of Hormander type, so it is strongly degenerate, but we prove that this class operators possesses the a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Inverse problems for elliptic PDE" (8)
椭圆偏微分方程 反问题 Calderón问题
2023/11/29
This course will give an introduction to inverse problems for elliptic partial differential equations. The most famous example of such problems is the Calderón problem, which arises in seismic and med...