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cache concept

DefinitionA store of recently used data kept so that it need not be fetched again. A cold measurement is taken before the cache holds anything useful, a warm one after. Chapter 13. Also cold, warm.
ExampleA cache holding 4 of a reader’s 10 entries hits 40 percent of that reader’s reads.
BookData Mining as Observation, draft 0.2, commit f3914f0; entry id cache, kind concept.
Statusno ledger row names this entry. Corrections: none recorded.
Defining equationnone
Assumptions and scope
  • A store of recently used data kept so that it need not be fetched again. A cache reader reads the entries in its footprint and nothing else, so its hit rate over a stream of requests lies in the unit interval, is zero cold and one warm, never falls when the cache holds more, and is unchanged by entries outside the requests.
  • A cold and a warm measurement of the same system are two observers of it. The ZooKeeper substrate’s false-clear rate was 0.99 hot and 0.01 cold, which is the case that a cache’s number is the requests’ number.
Prior artnone recorded
Evidencelean/DataMiningAsObservation/Cache.lean
Reviewednot yet reviewed; generated 2026-09-10 from records at the commits on the provenance page.
the footprint is the entries this reader reads
Recently used entries kept so they need not be fetched again.

Equation

none

Conditions

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

Ledger

none

First stated

Chapter 13 section 13.5 of Data Mining as Observation, with the cache reader row of chapter 1’s consumer table and the hot-and-cold substrate measurements of the freshness track.

Measurements

none

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

KV cache; eviction; freshness; replica; consumer.

See also

Book equations stated beside the entry’s terms, not defining it: 13.1, 0.26.

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 8.9.

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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