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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：3D Fracture Development Analysis with A Modified XFEM
XFEM 三维裂缝 发育分析
2023/11/6
扩展有限元法(XFEM)是目前裂纹分析的主流数值方法。2009年起，ABAQUS、ANSYS等主流商业软件集成XFEM并应用于裂纹问题，标志着该方法被工业界广泛接受。然而，在实际应用中XFEM仍然受到两方面的困扰：总体方程高度病态和动力学计算时能量难以守恒。基于“困难的根源在于单位分解插值引入的额外自由度”这一判断和认识，我们提出了一种无额外自由度的改进型扩展有限元方法，有效解决了现有方法总体刚度...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analysis of distributed SG algorithm
分布式 SG算法 分析
2023/5/12
In this talk, a distributed stochastic gradient (SG) algorithm is proposed where the estimators are aimed to collectively estimate an unknown time-invariant parameter from a set of noisy measurements ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Harmonic analysis meets wave equation
谐波分析 符合 波动方程
2023/5/10
In this talk I plan to survey some progress on Hardy and BMO spaces, Riesz transforms, Bochner-Riesz means and spherical means by using the method of wave equation,and show interesting connections and...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability and error analysis of a maximum bound principle preserving scheme for the dynamical Ginzburg-Landau equations of Superconductivity
超导动力学 金茨堡-朗道方程 最大界界原理 能量稳定性 误差分析
2023/4/25
We focus on numerical study of the dynamical Ginzburg-Landau equations under the temporal gauge, and propose a decoupled numerical scheme based on the finite element method. For the variable A, the se...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global and Local Convergence-Rate Analysis of an Inexact Newton Augmented Lagrangian Method for Zero-One Composite Optimization
零一复合优化 不精确 牛顿增强拉格朗日方法 收敛率分析
2023/4/14
Zero-One Composite Optimization (0/1-COP) is a prototype of nonsmooth, non- convex optimization problems and it has attracted much attention recently. Augmented Lagrangian Method (ALM) has stood out a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fourier analysis on finite abelian groups and the uncertainty principles
有限阿贝尔群 傅里叶分析 不确定性原理
2023/4/18
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Who Shares Risk with Whom？A Dynamic Network Game Analysis
分担风险 动态网络 博弈分析
2023/4/18
We investigate informal risk sharing using a dynamic network game model. In each round, a randomly selected agent experiences a negative shock, and the agent's friends decide whether to provide assist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Low Rank Matrix Recovery for Seismic Data Analysis and Blind Superresolution
地震数据分析 盲超分辨率 低秩 矩阵恢复
2023/4/19
Low rank matrix recovery is about reconstructing a low rank matrix from incomplete measurements. It arises frequently in many research areas of science and engineering, for example, machine learning, ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence analysis of one-point large deviations rate functions of numerical methods for stochastic wave equations with small noise
小噪声 随机波动方程 数值方法 单点大偏差率 函数收敛分析
2023/4/21
In this talk, we present the pointwise convergence of one-point large deviations rate functions (LDRFs) of the spatial finite difference method and further the fully discrete method based on the tempo...
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：Bootstrap-based Statistical Analysis for Multi-period Data-driven Inventory Models with Seasonal Demand
自举 统计分析 季节性需求 多周期数据 驱动库存模型
2023/4/24
We study multi-period inventory control systems in which managers face seasonal demands with unknown distributions and make inventory decisions based on past demand data. It can be shown that a data-d...
New single cell analysis tool（图）
单细胞 分析工具 细胞工程
2023/7/7
Recent advances in analyzing data at the single-cell level have helped biologists make great strides in uncovering new information about cells and their behaviors. One commonly used approach, known as...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersion Analysis of CIP–FEM for Helmholtz Equation
亥姆霍兹方程 CIP-FEM 色散分析
2023/4/24
When solving the Helmholtz equation numerically, the accuracy of numerical solution deteriorates as the wave number k increases, known as `pollution effect' which is directly related to the phase diff...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Backpropagation and sensitivity analysis in high-dimensional hyperbolic chaos
高维 双曲混沌 反向传播 敏感性分析
2023/4/26
We devise fast algorithms for computing the linear response, which is the parameter-gradient of long-time statistics of hyperbolic chaotic dynamical systems. The algorithm is in the form of progressiv...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multi-scale analysis-driven tourism forecasting: Insights from the peri-COVID-19
多尺度分析 驱动 旅游预测 COVID-19 周边见解
2023/5/5
Tourism managers and practitioners rely on accurate demand forecasting and well-informed management guidance. Given the pandemic's consequences on tourism, future analysis in the during-epidemic era i...