planted instrument
| Definition | Of a case, built so that the answer is known before the instrument reads it, such as an affine consumer whose read operator is its weight vector's outer product. Chapter 6 section 6.2. |
|---|---|
| Example | An affine consumer with weight vector (3, 4) has read operator proportional to the matrix with rows (9, 12) and (12, 16), which the probe must recover. |
| Book | Data Mining as Observation, draft 0.2, commit f3914f0; entry id planted, kind instrument. |
| Status | no ledger row names this entry. Corrections: none recorded. |
| Defining equation | none |
| Assumptions and scope |
|
| Prior art | none recorded |
| Evidence | geometric-observation/claims/LEDGER.md, lean/DataMiningAsObservation/ReadOperator.lean, lean/DataMiningAsObservation/ProbeCliff.lean |
| Reviewed | not yet reviewed; generated 2026-09-10 from records at the commits on the provenance page. |
Equation
none
Conditions
- Of a case, built so that the answer is known before the instrument reads it. An affine consumer has a known read operator, the outer product of its weight vector, so a probe that recovers it has been tested against a truth.
- The planted probe recovered the read subspace at overlap 0.936 against chance 0.059, twelve of twelve, and the real model then missed its bar at 0.567 against 0.60, which is the order the book keeps.
Conditions are curated in entries.toml rather than read
from a record.
Ledger
none
First stated
Chapter 6 section 6.2 of Data Mining as Observation, with
the planted probe in geometric-observation/claims/LEDGER.md
row GO-1.
Measurements
| Where the book states it | Numbers, as the book’s sources table records them | Source |
|---|---|---|
| chapter 6 section 6.2 | planted probe, overlap 0.936 vs 0.059, twelve of twelve, reconstruction 0.40, five of five | geometric-observation/claims/LEDGER.md
row GO-1 |
Failures and corrections
none
Invariance envelope
none declared
Machine checked
lean/DataMiningAsObservation/ReadOperator.lean,
theorems rank_one_reads_one_direction,
readOp_mulVec, quad_readOp,
quad_readOp_nonneg, readOp_mulVec_eq_zero_iff,
readOp_diag, readOp_offdiag,
readOp_symm, readOp_neg,
affine_const_along_nuisance, readOp_affine,
readOp_sqLength_basis, at observation-data-mining f3914f0;
what the check covers is stated in the book’s appendix
C.
lean/DataMiningAsObservation/ProbeCliff.lean,
theorems centralDiff_affine,
centralDiff_basis, exists_blind_direction,
indistinguishable, budget_cliff, at
observation-data-mining f3914f0; what the check covers is stated in the
book’s appendix
C.
Used in
Data Mining as Observation chapters 3, 6, 8, 11.
Related
blind probe; read operator; control; budget cliff.
See also
Book equations stated beside the entry’s terms, not defining it: 0.9, 6.1, 11.4.
Ledger rows that cite the entry’s records without naming it: GO-1, NEG-12.
Sources-table rows that share a record with the entry without naming it: chapter 11 section 11.7.
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.