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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The complexity of computing Markov perfect equilibrium in general-sum stochastic games
一般 随机博弈 马尔可夫完美均衡 计算复杂性
2023/5/12
Similar to the role of Markov decision processes in reinforcement learning, Markov games (also known as stochastic games) form the basis for the study of multi-agent reinforcement learning and sequenc...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On varieties of general type with many global forms
全局形式 一般类型 品种
2023/5/6
We expect that the study of pluricanonical systems of varieties of general type with many global forms can be reduced to the study of pluricanonical systems of varieties of lower dimensions. We show t...
FIRST VARIATION OF THE GENERAL CURVATURE-DEPENDENT SURFACE ENERGY
Surface energy gradient fl ow mean curvature
2015/12/11
We consider general surface energies, which are weighted integrals
over a closed surface with a weight function depending on the position, the
unit normal and the total curvature of the surface. Ene...
Optimally Sparse Representation in General (non-Orthogonal) Dictionaries via
Sparse Representation Overcomplete Representation
2015/8/21
Given a ‘dictionary’ D = {dk} of vectors dk, we seek to represent a signal S as a
linear combination S =
k γ(k)dk, with scalar coefficients γ(k). In particular, we aim for
the sparsest repre...
Computing the threshold shift for general channels
Threshold the probability curve noise the binary
2015/8/21
The ‘threshold’ of a code ensemble can be defined as the noise level at which the block error probability curve crosses 1/2. For ensembles of low-density parity check codes used over the binary erasur...
Scrambled geometric net integration over general product spaces
Discrepancy Multiresolution Rendering Scrambled net
2015/8/21
Quasi-Monte Carlo (QMC) sampling has been developed for integration over [0;1]s where it has superior accuracy to Monte Carlo (MC) for
integrands of bounded variation.
EXTENDED BAUM TRANSFORMATIONS FOR GENERAL FUNCTIONS, II
Multidimensional Multivariate Gaussuan Mixture Extended Baum-Welch transformations discriminative training estimation of statistical parameters maximum mutual informaiton estimation
2015/7/30
The discrimination technique for estimating the parameters of Gaussian mixtures that is based on the Extended Baum transformations (EB) has had significant impact on the speech recognition community. ...
A fast direct solver for elliptic problems on general meshes in 2D
Elliptic equations Fast algorithms Multifrontal methods Hierarchical matrices Sparse matrix
2015/7/14
We present a fast direct algorithm for solutions to linear systems arising from 2D elliptic equations. We follow the approach in Xia et al. (2009) on combining the multifrontal method with hierarchica...
Monitoring General Linear Profiles Using Multivariate EWMA Schemes
General Linear Multivariate EWMA Schemes
2015/3/20
Monitoring General Linear Profiles Using Multivariate EWMA Schemes.
A GENERAL MINIMUM LOWER-ORDER CONFOUNDING CRITERION FOR TWO-LEVEL REGULAR DESIGNS
GENERAL MINIMUM LOWER-ORDER CONFOUNDING CRITERION TWO-LEVEL REGULAR DESIGNS
2015/3/20
Based on the hierarchical ordering principle of factorial effects in experimental design, we propose an aliased effect-number pattern (AENP) as a criterion to judge a two-level regular design; such a ...
Monitoring General Linear Profiles Usin Multivariate EWMA schemes
Multivariate EWMA schemes Monitoring General Linear Profile
2015/3/18
We propose a statistical process control (SPC) scheme that can be implemented in industrial practice, where the quality of a process can be characterized by a general linear profile. We start by revie...
A General Minimum Lower-Order Confounding Criterion for Two-Level Regular Designs
Clear effects criterion Estimation ability
2015/3/18
Based on the hierarchical ordering principle of factorial effects in experimental
design, we propose an aliased effect-number pattern (AENP) as a criterion to judge
a two-level regular design; such ...
A Polynomial Eigenproblem Approach for General Joint Block Diagonalization
general joint block diagonalization polynomial eigenproblem
2014/9/26
oint Block Diagonalization (JBD) of a given Hermitian matrix set A=fAi
g
p
i=0
is to nd
a nonsingular matrixWsuch that W
H
AiWfor i = 0;1;:::;pare all block diagonal matrices
with the same pr...
Several Pairs of Differential Operators and Their Applications in Variational Calculusof a General Third Order Energy
Di甧rential operator Euler-Lagrange equation Complete-variation Geo-metric energy functional Curvature
2012/8/8
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im-
portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge-
ometry, computational geometry a...
General construction of symmetric parabolic structures
parabolic geometries contact geometries symmetric spaces extension functors
2012/7/11
First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regu...