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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...
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).
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...
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...
Empirical likelihood for first-order random coefficient integer-valued autoregressive processes
INAR model Conditional least square Asymptotic distribution Hypothesis Testing Maximum empirical likelihood
2011/11/5
This paper studies the empirical likelihood method for a first-order random coefficient integer-valued autoregressive model. The limiting distribution of the log empirical likelihood ratio statistic i...
CK Method And Auto-Backlund Transformation To Find New Exact Solutions Of The (1+1)-Dimensional Variable-Coefficient KdV Equation
CK Method auto-B¨acklund transformation soliton-type solutions
2011/10/18
In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
A Closed Formula for the Barrier Transmission Coefficient in Quaternionic Quantum mechanics
Closed Formula Barrier Transmission Coefficient Quaternionic Quantum mechanics
2011/2/24
A Closed Formula for the Barrier Transmission Coefficient in Quaternionic Quantum mechanics.
Wave scattering by small bodies and creating materials with a desired refraction coefficient
wave scattering small scatterers wave focusing negative refraction
2011/1/21
In this paper the author’s invited plenary talk at the 7-th PACOM (PanAfrican Congress of Mathematicians), is presented.
On an inverse problem for a class of Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
Dirac operator scattering function main equation
2010/9/25
In this paper, it is examined on the half line the inverse problem of scattering theory for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition . T...
Adomian decomposition method (ADM) for nonlinear wave-like equations with variable coefficient
Adomian decomposition wave-like equation variable coefficient
2010/9/27
The Adomian Decomposition Method (ADM) has been widely applied in solving partial differential equations which represent various phenomena in engineering and physics. This method is easy to program an...
L^3 estimates for an algebraic variable coefficient Wolff circular maximal function
L^3 estimates algebraic variable coefficient Wolff circular maximal function
2011/1/17
In 1997, Thomas Wol proved sharp L3 bounds for his circular maximal function, and in 1999, Kolasa and Wol proved certain non-sharp Lp inequalities for a broader class of maximal functions arising fr...
Reduction operators of variable coefficient semilinear diffusion equations with an exponential source
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph)
2010/11/10
Reduction operators (called also nonclassical or $Q$-conditional symmetries) of variable coefficient semilinear reaction-diffusion equations with exponential source $f(x)u_t=(g(x)u_x)_x+h(x)e^{mu}$ ar...