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Empirical Bayes modeling, computation, and accuracy
modeling computation accuracy
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2015/8/20
This article is intended as an expositional overview of empirical Bayes modeling
methodology, presented in a simpli ed framework that reduces technical diculties. The
two principal empirical Bayes ...
Convex optimization of graph Laplacian eigenvalues
Graph theory Laplacian matrix Convex optimization Semidefinite pro-gramming Markov chain Distributed averaging Effective resistance
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2015/8/10
We consider the problem of choosing the edge weights of an undirected graph so as to maximize or minimize some function of the eigenvalues of the associated Laplacian matrix, subject to some constrain...
A splitting method for optimal control
Operator splitting algorithm the secondary control operation
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2015/8/7
We apply an operator splitting technique to a generic linear-convex optimal control problem, which results in an algorithm that alternates between solving a quadratic control problem, for which there ...
目前关于主客方协作式评价问题的研究相对较少且主要是基于点值评价信息的,考虑到评价环境的复杂性与不确定性,本文将点值信息向区间信息方向拓展,探讨了一种新的区间信息下的主客方协作式群体评价方法。本文首先探讨了一种能够较好融合评价信息"质与量"的区间诱导密度加权合成算子-IIDWA;然后以主方信息完备度及客方信息诚信度为诱导分量分别对主客方评价信息进行聚类分组,并从规模和属性两个角度出发分别确定相应的密...
基于VIKOR和诱导广义直觉梯形模糊Choquet积分算子的多属性群决策方法
直觉梯形模糊数 Choquet积分算子 关联 多准则妥协优化解 群决策
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2016/11/11
针对属性值为直觉梯形模糊数,决策者间和属性间存在相互关联的多属性群决策问题,引入模糊测度和Choquet积分的概念,在直觉梯形模糊数的运算法则基础上构建了诱导型广义直觉梯形模糊choquet积分平均(IG-ITFCA)算子和诱导型广义直觉梯形模糊choquet积分几何(IG-ITFCG)算子,探讨上述算子的若干性质及一些特例,进而提出了基于诱导型广义直觉梯形模糊Choquet积分算子和多准则妥协优...
CONFORMAL INVARIANTS ASSOCIATED TO A MEASURE: CONFORMALLY COVARIANT OPERATORS
CONFORMAL INVARIANTS ASSOCIATED MEASURE CONFORMALLY COVARIANT OPERATORS
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2014/4/3
In this paper we study Riemannian manifolds (Mn, g) equipped with a smooth measure m. In particular, we show that the construction of conformally covariant operators due to Graham-Jenne-Mason-Sparling...
Real-Variable Theory and Fourier Integral Operators on Semisimple Lie Groups and Symmetric Spaces of Real Rank One
Real-Variable Theory Fourier Integral Operators Semisimple Lie Groups Symmetric Spaces Real Rank One
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2014/4/3
Let G be a non-compact connected semisimple Lie group of real rank one with finite center, K a maximal compact subgroup of G and X = G/K an associated symmetric space of real rank one. We will p...
A characterization of amenability of group actions on $C^\ast$-algebras
characterization amenability group actions $C^\ast$-algebras
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2012/4/16
We show that coincidence of the full and reduced crossed product $C^\ast$-algebras of a group action on a unital commutative $C^\ast$-algebra implies amenability of the action whenever the group is ex...
Free evolution on algebras with two states II
Free evolution algebras two states II Operator Algebras
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2012/4/17
Denote by $J$ the operator of coefficient stripping. We show that for any free convolution semigroup of measures $\nu_t$ with finite variance, applying a single stripping produces semicircular evoluti...
Blends and Alloys
Algebra C*-algebra crossed product tensor product algebra structure conditional expectation index finite type
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2012/4/18
Given two algebras A and B, sometimes assumed to be C*-algebras, we consider the question of putting algebra or C*-algebra structures on the tensor product A\otimes B. In the C*-case, assuming B to be...
Chern-Simons theory for SU_q(2)
Chern-Simons theory SU_q(2) Operator Algebras
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2012/4/18
In a previous paper we defined a noncommutative replacement of the Chern-Simons action. In the present paper we investigate and compute the action for a particular example: the quantum group SU_q(2). ...
Chern-Simons theory for the noncommutative 3-torus
Chern-Simons theory the noncommutative 3-torus Operator Algebras
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2012/4/18
We study the Chern-Simons action, which was defined for noncommutative spaces in general by the author, for the noncommutative 3-torus, the universal C*-algebra generated by 3 unitaries. D. Essouabri,...
A Chern-Simons action for noncommutative spaces
Chern-Simons action noncommutative spaces Operator Algebras
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2012/4/18
Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a proper noncommutative generalization of the Chern-Simons action. "Proper", in this context...
The C*-algebra of an affine map on the 3-torus
C*-algebra affine map 3-torus Operator Algebras
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2012/4/17
We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is c...
Quantum Feynman-Kac perturbations
Quantum stochastic cocycle Markovian cocycle quantum stochastic flow one-parameter semigroup
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2012/3/1
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von Neumann algebras by ...