gate instrument

Definition	A bar that a build or a claim must pass before it proceeds, with the bar and the null written down first. Chapter 8 section 8.3 and chapter 11 section 11.6.
Example	The build gate required anti-hub recall of at least 0.90 in every stratum; the compressed index read 0.663 and failed.
Book	Data Mining as Observation, draft 0.2, commit `f3914f0`; entry id `gate`, kind instrument.
Status	no ledger row names this entry. Corrections: none recorded.
Defining equation	Book equation 12.3.
Assumptions and scope	A bar that a build or a claim must pass before it proceeds, with the bar and the null written down first. Passing a higher bar passes every lower one, a gate discriminates only when the null fails it and the real system passes it, and a gate the null passes is vacuous. The hubness gate was predicted to be blind to the category mix and was not, so the instrument claim was withdrawn, and the gate meta-rule says relative contrast discriminates nothing.
Prior art	none recorded
Evidence	`turboquant-pro/docs/RESULTS_strata_phase23_gates.md:1-45`, `turboquant-pro/docs/HUBNESS_PRIMER.md:86-131`, `lean/DataMiningAsObservation/Bar.lean`, `lean/DataMiningAsObservation/CrossCorpusGate.lean`
Reviewed	not yet reviewed; generated 2026-09-10 from records at the commits on the provenance page.

A bar a build must pass before it proceeds.

Equation

Book equation 12.3.

\[\text{validated}\iff \mathrm{AUROC}_{\text{cross}}-\max\big(\mathrm{AUROC}_{\text{untrained}},\ \mathrm{AUROC}_{\text{BoW}}\big)\ \ge\ 0.10.\]

Conditions

A bar that a build or a claim must pass before it proceeds, with the bar and the null written down first. Passing a higher bar passes every lower one, a gate discriminates only when the null fails it and the real system passes it, and a gate the null passes is vacuous.
The hubness gate was predicted to be blind to the category mix and was not, so the instrument claim was withdrawn, and the gate meta-rule says relative contrast discriminates nothing.

Conditions are curated in entries.toml rather than read from a record.

Ledger

none

First stated

Chapter 8 section 8.3 of Data Mining as Observation, with the build gate in turboquant-pro/docs/HUBNESS_PRIMER.md:86-131 and the cross-corpus gate in xbse/README.md:130-160.

Measurements

Where the book states it	Numbers, as the book’s sources table records them	Source
chapter 10 section 10.5	Gate A design error, A prime skew 3.970 to 3.177, max 287 to 213, Robin Hood 0.372 to 0.261, fraction 0.117 to 0.079, compressed path 0.663 vs 0.90, seven strata, 0.62 to 0.69 vs 0.76 to 0.84	`turboquant-pro/docs/RESULTS_strata_phase23_gates.md:1-45`
chapter 11 section 11.6	anti-hub recall, p05, hub-rank correlation, hub-set overlap, the build gate	`turboquant-pro/docs/HUBNESS_PRIMER.md:86-131`
chapter 12 section 12.5	the gate, both nulls, margin 0.10, scorecard 0.622 to 0.853, bag of words 0.46 to 0.54, rights 0.509 vs 0.512 and 0.467	`xbse\README.md:130-160,195-219`

Failures and corrections

none

Invariance envelope

none declared

Machine checked

lean/DataMiningAsObservation/Bar.lean, theorems passes_anti, passes_mono, discriminates_iff, no_bar_of_null_ge, exists_bar_of_lt, vacuous_of_null_passes, at observation-data-mining f3914f0; what the check covers is stated in the book’s appendix C.

lean/DataMiningAsObservation/CrossCorpusGate.lean, theorems clears_bow, clears_untrained, not_validated_of_saturated, margin_example, validated_comp, at observation-data-mining f3914f0; what the check covers is stated in the book’s appendix C.

Used in

Data Mining as Observation chapters 0, 4, 8, 9, 10, 11, 12, 13, 14.

bar; cross-corpus gate; anti-hub recall; preregistration; null model.

Status

Generated 2026-09-10 by encyclopedia/generate.py; book at observation-data-mining f3914f0; the commit of every record is listed in the encyclopedia’s provenance.

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