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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Estimating Time-Varying Networks for High-Dimensional Time Series
高维 时间序列 时变网络
2023/4/25
We explore time-varying networks for high-dimensional locally stationary time series, using the large VAR model framework with both the transition and (error) precision matrices evolving smoothly over...
Varying Naive Bayes Models with Applications toClassi cation of Chinese Text Documents
BIC Chinese Document Classification Screening Consistency
2016/1/25
Document classification is an area of great importance for which many clas-sification methods have been well developed. However, most of these methods cannot generate time-dependent classification rul...
Accounting for spatially varying directional effects in spatial covariance structures
Gaussian processes non-stationarity process convolution projection
2012/11/23
Wind direction plays an important role in the spread of pollutant levels over a geographical region. We discuss how to include wind directional information in the covariance function of spatial models...
Precise large deviations for dependent regularly varying sequences
stationary sequence large deviation principle regular variation Markov processes stochastic volatility model GARCH
2012/6/27
We study a precise large deviation principle for a stationary regularly varying sequence of random variables. This principle extends the classical results of A.V. Nagaev (1969) and S.V. Nagaev (1979) ...
Inelastic character of solitons of slowly varying gKdV equations
gKdV equations soliton dynamics slowly varying medium
2011/9/21
Abstract: In this paper we describe the inelastic character of solitons of some slowly varying gKdV equations. We give precise lower bounds, in the energy space, of the defect induced by the potential...
Fluid-induced pattern-formation in 3D photonic crystals with spatially varying surface functionalization
3D photonic spatially varying surface functionalization
2010/12/28
We introduce a 3D porous photonic crystal whose inner surfaces are chemically functionalized in arbitrary spatial patterns with micro-scale resolution. We use this platform to demonstrate pattern-form...
Localization for equivariant cohomology with varying polarization
equivariant cohomology Hamiltonian G-spaces equivariant localization proper cobordism
2011/2/22
We develop a localization theorem in equivariant cohomology that generalizes both the localization with respect to a component of the momentum map and the localization with respect
to the norm square...
Exponential stability of stochastic fuzzy Hopfield neural networks with time-varying delays and impulses
Stochastic Fuzzy Hopfield neural networks
2010/9/20
In this paper, the model of stochastic fuzzy Hopfield neural networks with time-varying delays and impulses (ISFVDHNNs) is established as a modified Takagi-Sugeno (TS) fuzzy model in which the consequ...
Robust stability for descriptor systems with time-varying delay
Delay systems discrete-time systems uncertain systems
2010/9/21
In this paper, we consider the stability and robust stability for descriptor systems with time-varying delay. First, we attempt to obtain delay-dependent stability conditions via linear matrix inequal...
An inventory model for Weibull deteriorating items with price dependent demand and time-varying holding cost
EOQ model deteriorating items Weibull distribution
2010/9/26
This paper deals with development of an inventory model when the deterioration rate follows Weibull two parameter distributions. Here it is assumed that demand rate is a function of selling price and ...
Green's functions for parabolic systems of second order in time-varying domains
Green's functions parabolic systems
2010/11/22
We construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz ...
Effective Hamiltonians for Thin Dirichlet Tubes with Varying Cross-Section
Effective Hamiltonians Thin Dirichlet Tubes Cross-Section
2010/11/22
We show how to translate recent results on effective Hamiltonians for quantum systems constrained to a submanifold by a sharply peaked potential to quantum systems on thin Dirichlet tubes. While the s...
Estimation of the spectral measure of multivariate regularly varying distributions
regularly varying distributions estimation of parameters stable distributions spectral measure
2010/12/9
In the paper, the estimator for the spectral measure of multivariate stable distributions introduced by Davydov and co-workers are extended to the regularly varying distributions. The sampling method ...
Dynamics of soliton-like solutions for slowly varying, generalized gKdV equations: refraction vs. reflection
gKdV equations integrability theory soliton dynamics slowly varying medium
2010/12/13
In this work we continue our study of the description of the soliton-like solutions of the variable coecients, subcritical gKdV equation ut + (uxx u + a("x)um)x = 0; in Rt Rx; m = 2; 3 ...
On the Transition from Heavy Traffic to Heavy Tails for the M/G/1 Queue: The Regularly Varying Case
Transition from Heavy Traffic Heavy Tails M/G/1 Queue Regularly Varying Case
2010/12/14
Two of the most popular approximations for the distribution of the steady-state waiting time, W1, of the M/G/1 queue are the so-called heavy-trac approximation and heavy-tailed asymptotic, re-spectiv...