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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...
Rational permeability coefficient of a permeable lining for composite tunnel lining structures
tunneling engineering deeply-buried tunnel composite lining structure concrete permeable lining grouting circle parameter permeability coefficient reasonable value
2018/5/11
Various factors influence the tunneling are simplified considering the axial symmetry of the composite lining structure. The analytical expressions for the seepage field，stress，and displacement in the...
Experimental determination of the coefficient of restitution for meter-scale granite spheres
Asteroids Collisional physics Experimental techniques Planetary formation Planetary rings
2015/12/25
We present results of a series of large-scale experiments to measure the coefficient of restitution for 1-m-diameter rocky bodies in impacts with collision speeds up to 1.5 m s1. The experiments wer...
THE DIFFUSION COEFFICIENT FOR PIECEWISE EXPANDING MAPS OF THE INTERVAL WITH METASTABLE STATES
DIFFUSION COEFFICIENT WITH METASTABLE STATES
2015/9/29
Consider a piecewise smooth expanding map of the interval possessing several
invariant subintervals and the same number of ergodic absolutely continuous invariant probability measures (ACIMs).
Variation of the feedback coefficient with R12 and the geographic latitude in 1-h ahead forecast of f0 F2
forecast feedback critical frequency
2015/9/25
The «prediction» and «forecast» of the critical frequency of the F 2 layer (f0 F2 ) is an important issue for frequency planning in short wave radio communications. In this context...
Controller coefficient truncation using Lyapunov performance certificate
Delete coefficient linear controller coefficient of linear matrix inequality lmi the numerical values
2015/8/7
We describe a method for truncating the coefficients of a linear controller while guaranteeing that a given set of relaxed performance constraints is met. Our method sequentially and greedily truncate...
Binomial coefficient codes over GF
Graham, binomial coefficient coding, discrete mathematics, number of codewords, industry convergence rate
2015/7/14
Diaconis, P. and R. Graham, Binomial coefficient codes over GF(2) Discrete Mathematics
106/107 (1992) 181-188.
In this note we study codes over GF(2) which are generated for given d and r by binar...
Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process
acousto-optic inverse problem spherical Radon transform Helmholtz decomposition piecewise smooth functions reconstruction Landweber iteration stability
2012/6/27
The aim of this paper is to tackle the nonlinear optical reconstruction problem. Given a set of acousto-optic measurements, we develop a mathematical framework for the reconstruction problem in the ca...
Parametric inference for discretely observed multidimensional diffusions with small diffusion coefficient
Minimum contrast estimators low frequency data high frequency data epidemic data
2012/6/21
We consider a multidimensional diffusion X with drift coefficient b({\alpha},X(t)) and diffusion coefficient {\epsilon}{\sigma}({\beta},X(t)). The diffusion is discretely observed at times t_k=k{\Delt...
A Resolved-Super-Transition-Arrays method for calculation of the spectral absorption coefficient in hot plasmas
Resolved-Super-Transition-Arrays method calculation of the spectral absorption coefficient hot plasmas Atomic Physics
2012/4/24
A new method, 'Resolved-Super-Transition-Arrays', for calculation of the spectral absorption coefficient in hot plasmas is presented. The formulae of the traditional Super-Transition-Arrays method [A....
The spectral slope coefficient of chromophoric dissolved organic matter (S275–295) as a tracer of terrigenous dissolved organic carbon in river-influenced ocean margins
The spectral slope coefficient chromophoric dissolved organic matter S275–295 tracer of terrigenous dissolved organic carbon river-influenced ocean margins
2014/4/4
The present study demonstrates that the spectral slope coefficient of chromophoric dissolved organic matter (CDOM) between 275 nm and 295 nm (S275–295) can be used as a tracer of the percent terrigeno...
The spectral slope coefficient of chromophoric dissolved organic matter (S275–295)asa tracer of terrigenous dissolved organic carbon in river-influenced ocean margins
spectral slope coefficient chromophoric dissolved organic matter terrigenous dissolved organic carbon river-influenced ocean margins
2014/4/3
The present study demonstrates that the spectral slope coefficient of chromophoric dissolved organic matter(CDOM) between 275 nm and 295 nm (S275–295) can be used as a tracer of the percent terrigenou...
Exchange coupling coefficient and domain wall mobility of (Dy,Tb)FeCo magneto-optical films
2011/11/30
The magnetic properties and recording characteristics of ~Dy,Tb!FeCo films are dependent upon the anisotropy dispersion of rare earth constituents and the exchange integral between rare earth and tran...
Convergence Analysis of Coefficient Regularized Classification Online Algorithms
Classification algorithm online learning coefficient regularization error analysis
2011/11/9
The present paper considers online classification learning algorithms associated with convex loss functions, and gives the error analysis of coefficient regularized online classification algorithms. T...
Empirical Likelihood Inference for Random Coefficient INAR(p) Process
Models of count data Random coefficient INAR process Empirical likelihood Asymptotic distribution
2011/11/5
In this paper, we study the empirical likelihood method for the pth-order random coefficient integer-valued autoregressive process. In particular, the limiting distribution of the log empirical likeli...