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We prove Gaussian type bounds for the fundamental solution of the conjugate heat equation evolving under the Ricci flow. As a consequence, for dimension 4 and higher, we show that the backward ...
CONJUGATE PRIORS FOR EXPONENTIAL FAMILIES     Random vector distribution  natural parameter  parameters       font style='font-size:12px;'> 2015/7/15
Let X be a random vector distributed according to an exponential family with natural parameter 0 E O.We characterize conjugate prior measures on O through the property of linear posterior expectat...
Gibbs Sampling, Conjugate Priors and Coupling     Gibbs sampling  conjugate  clairvoyance  coupling       font style='font-size:12px;'> 2015/7/7
Gibbs Sampling, Conjugate Priors and Coupling
We investigate the frequentist posterior contraction rate of nonparametric Bayesian procedures in linear inverse problems in both the mildly and severely ill-posed cases. A theorem is proved in a gene...
In this paper, we seek the conjugate gradient direction closest to the direction of the scaled memoryless BFGS method and propose a family of conjugate gradient methods for unconstrained optimizatio...
Let $R$ be a subset of a group $G$. We call a subgroup $H$ of $G$ the $R$-conjugate-permutable subgroup of $G$, if $HH^{x}=H^{x}H$ for all $x\in R$. This concept is a generalization of conjugate-permu...
This paper is devoted to description of the relationship among oriented associativity equations, symmetry consistent conjugate curvilinear coordinate nets, and the widest associated class of semi- Ham...
This paper proposes a generalization of the conjugate gradient (CG) method used to solve the equation $Ax=b$ for a symmetric positive definite matrix $A$ of large size $n$. The generalization consists...
In the paper, by introducing two pairs of conjugate exponents(p,q) and (r,s), we establish a new generalizations of the Hilbert-type ineqaulity with a best constant. As application, the reverse and it...
Abstract: We construct a class of II_1 factors that admit a non smooth family of Cartan subalgebras that are non conjugate by an automorphism. We also construct a II_1 factor that admits uncountably m...
The conjugate effects of radiation and joule heating on magnetohydrodynamic (MHD) free convection flow along a sphere with heat generation have been investigated in this paper. The governing equations...
What are appropriate geometric conditions ensuring that every complete Riemannian 2-cylinder without conjugate points is at?Examples with nonpositive curvature show that one has to assume that the end...
Conjugate Projective Limits      Conjugate Projective Limits        font style='font-size:12px;'> 2011/1/17
We characterize conjugate nonparametric Bayesian models as projective limits of conjugate, nite-dimensional Bayesian models. In particular, we identify a large class of nonparametric models represent...
This paper defines and investigates a class of meromorphic univalent harmonic functions that are starlike of complex order with respect to conjugate points. The authors obtain convolution and convex c...
Conjugate Duality of Set--Valued Functions     Conjugate Duality  Set--Valued Functions       font style='font-size:12px;'> 2011/2/24
To a function with values in the power set of a pre–ordered, separated locally convex space a family of scalarizations is given which completely characterizes the original function.A concept of a Lege...

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