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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：VC-PINN: variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient
VC-PINN 变系数 偏微分方程 正逆问题 变系数物理 知情神经网络
2023/11/13
The talk proposes a deep learning method specifically dealing with the forward and inverse problem of variable coefficient partial differential equations-Variable Coefficient Physics-Informed Neural N...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On forward/inverse spectral problems, approximation problems and multiple integral formulae for non-smooth solitons
非光滑孤子 正/逆谱问题 近似问题 多重积分公式
2023/4/28
A class of nonlinear integrable PDEs admit non-smooth solitary wave solutions as certain special weak solutions. These solutions can be used to capture main attributes of solutions of these PDEs, e.g....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Machine learning methods for forward and inverse PDEs
正反向 偏微分方程 机器学习
2023/4/27
本报告介绍我们近期的两项工作。(1) 求解PDE的PINN方法在处理时间发展方程时往往遇到难以收敛的困难。我们发展了时间方向的预训练PINN方法及自适应步长方法，解决了收敛性困难，使PDE求解精度能够得到系统性提高。我们在一系列时间发展方程上获得了比文献报道更精确的训练结果。(2) 辐射调源问题是一个典型的反问题，要求调整辐射输运方程的边条件(源)，使解满足特定设计目标。我们针对辐射输运方程的时序...
ACCURATELY CALCULATING THE SOLAR ORIENTATION OF THE TIANGONG-2 ULTRAVIOLET FORWARD SPECTROMETER
TianGong-2 Ultraviolet Forward Spectrometer Solar Orientation Azimuth Angle Attitude Angle Coordinate System
2018/5/15
The Ultraviolet Forward Spectrometer is a new type of spectrometer for monitoring the vertical distribution of atmospheric trace gases in the global middle atmosphere. It is on the TianGong-2 space la...
In a possible step forward for gene therapy,Stanford researchers made mice glow like fireflies
step forward gene therapy Stanford researchers mice glow fireflies
2017/3/14
Timothy Blake, a postdoctoral fellow in the Waymouth lab, was hard at work on a fantastical interdisciplinary experiment. He and his fellow researchers were refining compounds that would car...
Stem Cells Step Forward
Stem Cells Step Forward
2017/3/13
Researchers at Harvard Medical School and Boston Children’s Hospital were able, for the first time, to use patients’ own cells to create cells similar to those in bone marrow and then use them to iden...
We consider the least angle regression and forward stagewise algorithms for solving penalized least squares regression problems. In Efron,Hastie, Johnstone & Tibshirani (2004) it is proved that the le...
We also
study a condition under which the coefficient paths of the lasso are monotone, and hence the different algorithms coincide. Finally, we compare the
lasso and forward stagewise pro...
This December issue of Oceanography concludes a productive year for The Oceanography Society (TOS) and the magazine. TOS co-sponsored or coordinated three big meetings in 2014: the Ocean Sciences Meet...
Looking Forward: Transdisciplinary Modeling, Environmental Forecasting, and Management
International Marine exploration the global Marine research project Marine weather Marine program
2015/7/16
In the 1970s, the International Decade of Ocean Exploration (IDOE) set the stage for an era of global ocean research programs (NRC, 1999). Although scientists had long explored the "seven seas," it wa...
A mimetic, semi-implicit, forward-in-time, finite volume shallow water model: comparison of hexagonal–icosahedral and cubed-sphere grids
A mimetic semi-implicit forward-in-time
2014/12/18
A new algorithm is presented for the solution
of the shallow water equations on quasi-uniform spherical
grids. It combines a mimetic finite volume spatial discretization with a Crank–Nicolson ...
On the Computation of the Higher-Order Statistics of the Channel Capacity for Amplify-and-Forward Multihop Transmission
Computation the Higher-Order Statistics the Channel Capacity Amplify-and-Forward Multihop Transmission Information Theory
2012/6/15
The latest research trends in the wireless communications and standardizations [1] accentuate that the higher-order statistics (HOS) of the channel capacity are necessary to achieve a reliable and tru...
Nonadiabatic Dynamics in Open Quantum-Classical Systems: Forward-Backward Trajectory Solution
Nonadiabatic Dynamics Open Quantum-Classical Systems Forward-Backward Trajectory Solution Chemical Physics
2012/5/29
A new approximate solution to the quantum-classical Liouville equation is derived starting from the formal solution of this equation in forward-backward form. The time evolution of a mixed quantum-cla...
Performance Analysis of Decode-and-Forward Relaying in Gamma-Gamma Fading Channels
Performance Analysis Decode-and-Forward Gamma-Gamma Fading Channels Information Theory
2012/5/24
Decode-and-forward (DF) cooperative communication based on free space optical (FSO) links is studied in this letter. We analyze performance of the DF protocol in the FSO links following the Gamma-Gamm...
Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
Local-in-space estimates initial time weak solutions of the Navier-Stokes equations forward self-similar solutions Analysis of PDEs
2012/4/18
We show that the classical Cauchy problem for the incompressible 3d Navier-Stokes equations with $(-1)$-homogeneous initial data has a global scale-invariant solution which is smooth for positive time...