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The Log-Determinant Divergence

The log-determinant barrier and divergence satisfy self-vanishing and the proved Bregman identity with its positive trace remainder.

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THEOREM

Positive definite matrices have zero self-divergence

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The Log-Determinant DivergenceThe Log-Determinant DivergenceCongruence Geometry of the Log-Determinant DivergenceCongruence Geometry of the Log-Determinant DivergencePath and Spectral Forms of the Log-Determinant DivergencePath and Spectral Forms of theLog-Determinant DivergenceNonnegativity of the Log-Determinant DivergenceNonnegativity of the Log-Determinant Divergence
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Lean sourceResearch workspace
Status
Closed
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0
Layer
D5/S3
Domain
Resource
Node ID
D5/S3/Resource/LogDetDivergence
Repository path
D5/S3/Resource/LogDetDivergence.lean
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sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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