Resource / CONCEPT
Path and Spectral Forms of the Log-Determinant Divergence
The log-determinant divergence has matching path, spectral, geometric-kernel, and classical forms.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES10
PROOF DEPTH1
DOCUMENT LINKS0
The trace of functional calculus is the eigenvalue sum
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A coherence-vector and spectrum product boundtruth-dependency · Closed
- A counterexample to strict spectral convergencetruth-dependency · Closed
- A counterexample to the maximal reverse Pinsker boundtruth-dependency · Closed
- Comparison of the two unified imaginarity measurestruth-dependency · Closed
- Entropy under entrywise modulus in dimension threetruth-dependency · Closed
- Fuchs's physical-basis logarithm question is falsetruth-dependency · Closed
- Shared Schatten continuitytruth-dependency · Closed
- Spectral ceilings and the strong Klein remaindertruth-dependency · Closed
- Subadditivity of quantum states over timetruth-dependency · Closed
- The Holevo ratio for full orthonormal tomographytruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A coherence-vector and spectrum product boundstructural-affinity · Closed
- A counterexample to strict spectral convergencestructural-affinity · Closed
- A counterexample to the maximal reverse Pinsker boundstructural-affinity · Closed
- Comparison of the two unified imaginarity measuresstructural-affinity · Closed
- Congruence Geometry of the Log-Determinant Divergencestructural-affinity · Closed
- Entropy under entrywise modulus in dimension threestructural-affinity · Closed
- Equality in the Log-Determinant Divergencestructural-affinity · Closed
- Finite two-row trace powerstructural-affinity · Closed
- Fuchs's physical-basis logarithm question is falsestructural-affinity · Closed
- Full trace metric and accelerationstructural-affinity · Closed
- Nonnegativity of the Log-Determinant Divergencestructural-affinity · Closed
- Pythagorean Projection Certificates for Log-Det Divergencestructural-affinity · Closed
- Shared Schatten continuitystructural-affinity · Closed
- Spectral ceilings and the strong Klein remainderstructural-affinity · Closed
- Squared-Catalan Hankel Growthstructural-affinity · Closed
- Subadditivity of quantum states over timestructural-affinity · Closed
- The Holevo ratio for full orthonormal tomographystructural-affinity · Closed
- The Log-Determinant Divergencestructural-affinity · Closed
- Two eigenvalue chart and boundary regularizationstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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