Estimation / CONCEPT
Bounds and Contraction for the Descent Defect
The optimal finite quotient-descent error is controlled by the same-fiber total-variation defect, and deterministic target postprocessing contracts that defect.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES7
PROOF DEPTH4
DOCUMENT LINKS1
Best descent error is at least half the fiber defect
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A Helly bound for classical signaling dimensiontruth-dependency · Closed
- Approximate Simulation Without Exact Attainmenttruth-dependency · Closed
- Bounded-Risk Simulator Transporttruth-dependency · Closed
- Finite residuals and actual stopping archivestruth-dependency · Closed
- Fixed Pair Profiles and Tagged CAR Antichainstruth-dependency · Closed
- Generating binary nondisturbing cycle probabilitiestruth-dependency · Closed
- Zero Descent Defect and Exact Lumpabilitytruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A facet of every lazy two-causal polytopestructural-affinity · Closed
- A Helly bound for classical signaling dimensionstructural-affinity · Closed
- AlaiStaircasestructural-affinity · Closed
- Approximate Simulation Without Exact Attainmentstructural-affinity · Closed
- Bounded-Risk Simulator Transportstructural-affinity · Closed
- Data Processing for Finite Total Variationstructural-affinity · Closed
- Equality in Total-Variation Data Processingstructural-affinity · Closed
- Finite Deficiency Risk Transferstructural-affinity · Closed
- Finite residuals and actual stopping archivesstructural-affinity · Closed
- Fixed Pair Profiles and Tagged CAR Antichainsstructural-affinity · Closed
- Generating binary nondisturbing cycle probabilitiesstructural-affinity · Closed
- Measurable Random Control and Actual Complete Recordsstructural-affinity · Closed
- Metric Laws and Variational Characterization for Finite Total Variationstructural-affinity · Closed
- Native uniform innovations and the critical Bernoulli-factory momentstructural-affinity · Closed
- Product Subadditivity of Total Variationstructural-affinity · Closed
- Rank-One Feedback and the First Readstructural-affinity · Closed
- Sharp challenge instrumentstructural-affinity · Closed
- Six-state separation of archives and joint residualsstructural-affinity · Closed
- The nonlocality–contextuality trade-off on a binary cyclestructural-affinity · Closed
- The relabelled chained inequality for outcome communicationstructural-affinity · Closed
- Zero Descent Defect and Exact Lumpabilitystructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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