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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：Statistical Management Theory for Business Applications with Massive Scale
大规模 商业应用 统计管理
2023/12/11
这是一个大数据与人工智能的时代，催生了各种各样大规模商务新场景。新场景常常呈现出：大规模、大数据、大模型的特点。这些特点对统计学的理论与计算方法都提出了新挑战，也提供了新机遇。对此，我将通过三个具体的真实案例分享，希望从中能够总结典型的统计学科学问题，洞察未来可能的研究机遇。这三个案例分别来自：金融科技、视频直播、和智慧零售三个不同商务场景。其中科技金融案例将展示如何通过二维码聚合支付数据助力面向...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Structure-Preserving Spectral Method for Large-Scale MHD System Simulation
MHD 系统仿真 保结构谱
2023/11/6
Structure-preserving numerical methods are crucial for achieving long-time accurate, stable, consistent and physically meaningful simulations. In this talk, we present H^1 and H(div) conforming spectr...
For many, the Amtrak trip from Philadelphia to Baltimore is routine. But for Weitzman students in a studio studying the future of this transit corridor under the threat of sea level rise, the trip bec...
Researchers capture first atomic-scale images depicting early stages of particle accelerator film formation（图）
粒子加速器 薄膜形成 原子尺度图像
2023/5/17
New research from a team of scientists at the Center for Bright Beams has made significant strides in developing new techniques to guide the growth of materials used in next-generation particle accele...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Towards Provably Efficient Quantum Algorithms for Nonlinear Dynamics and Large-scale Machine Learning Models
非线性动力学 机器学习模型 高效量子算法
2023/4/13
Nonlinear dynamics play a prominent role in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear equations have been severely limited due to t...
The next generation of micrometer-scale batteries（图）
Materials Science Mechanical Engineering Electrical and Computer Engineering Research
2023/6/29
Automated sprinklers, lighting, and security systems have been commonplace in homes and offices for several decades. In recent years, however, they have become increasingly efficient at anticipating u...
New quantum computing architecture could be used to connect large-scale devices（图）
量子计算架构 大型设备 定向光子发射 量子互连
2023/6/9
Quantum computers hold the promise of performing certain tasks that are intractable even on the world’s most powerful supercomputers. In the future, scientists anticipate using quantum computing to em...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deep learning of multi-scale PDEs based on data generated from particle methods
粒子方法 数据 多尺度 偏微分方程 深度学习
2023/4/26
Solving multi-scale PDEs is difficult in high-dimensional and/or convection-dominant cases. The interacting particle methods (IPM) are shown to outperform solving PDEs directly. Examples include compu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit
三尺度极限 无粘性旋转分层 Boussinesq方程 色散估计
2023/5/5
A dispersive decay estimate is proven for the linear propagator of the three-scale rotating stratified Boussinesq equations in the stratification-dominant regime. Because the phase function of that pr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit
分层主导 三尺度极限 无粘性旋转分层 Boussinesq方程 色散估计
2023/5/5
A dispersive decay estimate is proven for the linear propagator of the three-scale rotating stratified Boussinesq equations in the stratification-dominant regime. Because the phase function of that pr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large scale device simulations
大规模 设备 仿真
2023/5/5
As the device size shrinks to nanosize scale, the quantum mechanical effect and atomic level fluctuations become important. The traditional TCAD based on continuous medium model will no longer work. T...
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...
Inspiration at the atomic scale（图）
原子尺度 电子显微镜 纳米级 材料科学
2023/6/6
To explain why he loves electron microscopy, Associate Professor James LeBeau uses an analogy: He likens the technique, which uses beams of electrons to illuminate materials at a scale thousands of ti...
A combination of ecological field methods and cutting-edge artificial intelligence has helped an interdisciplinary research group detect eelgrass wasting disease at nearly three dozen sites along a 1,...