Analogue of the identity Log Det = Trace Log for resultants
نویسندگان
چکیده
منابع مشابه
Statistics of the log-det estimator.
The log-det estimator is a measure of divergence (evolutionary distance) between sequences of biological characters, DNA or amino acids, for example, and has been shown to be robust to biases in composition that can cause problems for other estimators. We provide a statistical framework to construct high-accuracy confidence intervals for log-det estimates and compare the efficiency of the estim...
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A simple proof is given for the convexity of log det(I +KX) in the positive definite matrix variable X ≻ 0 with a given positive semidefinite K 0. Convexity of functions of covariance matrices often plays an important role in the analysis of Gaussian channels. For example, suppose Y and Z are independent complex Gaussian nvectors with Y ∼ N(0,K) and Z ∼ N(0,X). Then, I(Y;Y + Z) = log det(I +KX)...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2011
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2010.12.001