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Cramer-Rao-Induced Bounds for CANDECOMP/PARAFAC tensor decomposition
CANDECOMP/PARAFAC Cramer-Rao-Induced tensor decomposition Bounds
2012/11/22
This paper presents a Cramer-Rao lower bound (CRLB) on the variance of unbiased estimates of factor matrices in Canonical Polyadic (CP) or CANDECOMP/PARAFAC (CP) decompositions of a tensor from noisy ...
General lower bounds on maximal determinants of binary matrices
General lower bounds maximal determinants binary matrices
2012/9/18
We give general lower bounds on the maximal determinant ofn×n{+1,−1}matrices, both with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier resultsof de Launey a...
A note on Bayesian credible sets in restricted parameter space problems and lower bounds for frequentist coverage
Bayesian methods Credible sets Frequentist coverage probability Lower bound Restricted Parameter Spending function
2012/9/17
For estimating a lower bounded parametric function in the framework of Marchand and Strawderman(2006), we provide “through” a unified approach a class of Bayesian confidence intervals with credibility...
Let X be any absolutely continuous random variable from the integrated Pearson family and assume that X has finite moments of any order. Equivalently, X is a linear (non-constant) transformation of Y ...
Lower bounds for posterior rates with Gaussian process priors
Bayesian nonparametrics Gaussian process priors Lower bounds
2009/9/16
Upper bounds for rates of convergence of posterior distributions associated to Gaussian process priors are obtained by van der Vaart and van Zanten in [van der Vaart and van Zanten, Rates of contracti...
Exponential bounds for minimum contrast estimators
Exponential risk bounds rate function quasi maximum likelihood smooth contrast
2009/9/16
The paper focuses on general properties of parametric minimum contrast estimators. The quality of estimation is measured in terms of the rate function related to the contrast, thus allowing to derive ...