cold, warm concept
| Definition | A cold measurement is taken before the cache holds anything useful, a warm one after. A cost figure without one of the two words beside it is not a cost figure. Chapter 0 section 0.13 and chapter 13. |
|---|---|
| Example | The first search at eight probes took 22.30 seconds cold and 0.835 seconds warm. |
| Book | Data Mining as Observation, draft 0.2, commit f3914f0; entry id cold-warm, kind concept. |
| Status | no ledger row names this entry. Corrections: none recorded. |
| Defining equation | none |
| Assumptions and scope |
|
| Prior art | none recorded |
| Evidence | turboquant-pro/docs/RESEARCH_ROADMAP.md:133-160, lean/DataMiningAsObservation/Cache.lean |
| Reviewed | not yet reviewed; generated 2026-09-10 from records at the commits on the provenance page. |
Equation
none
Conditions
- A cold measurement is taken before the cache holds anything useful, a warm one after. The hit rate is zero on an empty cache, one when the cache holds the whole footprint, grows as the cache grows, and does not move when entries outside the footprint are added.
- A single cold measurement at eight probes read 22.30 seconds against 0.835 seconds warm, and every previously reported placement number was warm, so a cost figure without the word warm or cold beside it is not a cost figure.
Conditions are curated in entries.toml rather than read
from a record.
Ledger
none
First stated
Chapter 0 section 0.13 of Data Mining as Observation, with
the placement study’s cold measurement in
turboquant-pro/docs/RESEARCH_ROADMAP.md:133-160.
Measurements
| Where the book states it | Numbers, as the book’s sources table records them | Source |
|---|---|---|
| chapter 13 section 13.1 | 22.30 s cold vs 0.835 s warm at eight probes, every prior number warm, fragmentation 63.7 bracketing 42 to 47, 64 shards, routing sparsity computed and discarded | turboquant-pro/docs/RESEARCH_ROADMAP.md:133-160 |
Failures and corrections
none
Invariance envelope
none declared
Machine checked
lean/DataMiningAsObservation/Cache.lean,
theorems hitRate_mem_unit, hitRate_cold,
hitRate_warm, hitRate_mono,
hitRate_footprint, at observation-data-mining f3914f0; what
the check covers is stated in the book’s appendix
C.
Used in
Data Mining as Observation primers L and S, chapters 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.
Related
cache; eviction; replica; budget; certificate.
See also
Book equations stated beside the entry’s terms, not defining it: 0.26, 13.2.
Ledger rows that cite the entry’s records without naming it: OT-11, GO-12.
Sources-table rows that share a record with the entry without naming it: chapter 8 section 8.4, chapter 11 section 11.4.
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.