Claim LD09-SL-C31 (v1.0)
In laboratory experiments, replacing real training data with each generation’s synthetic data tends towards model collapse, but accumulating synthetic data alongside the original real data avoids it; for a sequence of linear models, the authors prove that test error then has a finite upper bound however many generations pass.
Provenance and status
- Claim type
- ESTIMATE (as printed: “ESTIMATE”)
- Publication status
- ELIGIBLE (PREPRINT) (as printed: “ELIGIBLE WITH PREPRINT QUALIFIER”)
- Verification state
- CONTENT_VERIFIED_PRIMARY (PREPRINT) (as printed: “CONTENT VERIFIED PREPRINT”; verified by: UNKNOWN)
- Does not license
- Anything about the flow of new human-written data, which the setup holds fixed
- Source (field 6, as printed)
- Gerstgrasser, Schaeffer, Dey, Rafailov, Sleight, Hughes et al., “Is Model Collapse Inevitable? Breaking the Curse of Recursion by Accumulating Real and Synthetic Data,” arXiv:2404.01413, 2024
- Source type (field 7)
- PREPRINT (as printed: “Preprint”)
- Institutional position
- Academic, Stanford University-led, with co-authors at non-academic organisations (Constellation, Sequoia Capital)
- Maturity (claim evidence / publication maturity)
- CONTESTED (as printed: “CONTESTED”)
- Recorded date
- 2026-10-15
- Currentness / correction
- This is the current version. No correction or concern relation is recorded on its Sources.
Version
Current version v1.0, resolved through the explicit current pointer CLAIM--LD09-SL-C31.
Pinned Sources (field 6, version-specific)
- “Gerstgrasser, Schaeffer, Dey, Rafailov, Sleight, Hughes et al., “Is Model Collapse Inevitable? Breaking the Curse of Recursion by Accumulating Real and Synthetic Data,” arXiv:2404.01413, 2024” → SRC-SL-GERSTGRASSER-ET-AL-ARXIV-2404-01413--v1.0 — Gerstgrasser, Schaeffer, Dey, Rafailov, Sleight, Hughes et al., “Is Model Collapse Inevitable? Breaking the Curse of Recursion by Accumulating Real and Synthetic Data,” arXiv:2404.01413, 2024; class PREPRINT (explicit public provenance pin)
All 25 canonical Claim fields (raw values and normalized values)
| # | Canonical field | Canonical value (verbatim) | Normalized (Claim Value Vocabulary v1.0.2) |
|---|---|---|---|
| 1 | CLAIM ID | LD09-SL-C31 | — |
| 2 | PUBLIC-FACING CLAIM | In laboratory experiments, replacing real training data with each generation’s synthetic data tends towards model collapse, but accumulating synthetic data alongside the original real data avoids it; for a sequence of linear models, the authors prove that test error then has a finite upper bound however many generations pass. | — |
| 3 | CLAIM TYPE | ESTIMATE | base_types: ESTIMATE |
| 4 | RESEARCH STRAND | C — Systems, decisions and shared knowledge | — |
| 5 | MATURITY | CONTESTED | states: CONTESTED |
| 6 | SOURCE | Gerstgrasser, Schaeffer, Dey, Rafailov, Sleight, Hughes et al., “Is Model Collapse Inevitable? Breaking the Curse of Recursion by Accumulating Real and Synthetic Data,” arXiv:2404.01413, 2024 | source_ids: SRC-SL-GERSTGRASSER-ET-AL-ARXIV-2404-01413 |
| 7 | SOURCE TYPE | Preprint | classes: PREPRINT |
| 8 | INSTITUTIONAL POSITION | Academic, Stanford University-led, with co-authors at non-academic organisations (Constellation, Sequoia Capital) | — |
| 9 | SCOPE | Generative models trained recursively, in the laboratory | — |
| 10 | DESIGN | Experiments and theory comparing data replacement with data accumulation | — |
| 11 | SAMPLE / DATASET | Several model types; not recorded in detail for this version | — |
| 12 | MODEL / TOOL / VERSION | Language, diffusion and other generative models | — |
| 13 | COMPARATOR | Replacement of real data by synthetic data | — |
| 14 | MAIN RESULT | Replacement “does indeed tend towards model collapse”; accumulation “avoids model collapse”; with accumulation, “the test error has a finite upper bound independent of the number of iterations” | — |
| 15 | INFERENTIAL TARGET | Whether model collapse is inevitable | — |
| 16 | DOES NOT LICENSE | Anything about the flow of new human-written data, which the setup holds fixed | — |
| 17 | VERIFICATION STATE | CONTENT VERIFIED PREPRINT | state: CONTENT_VERIFIED_PRIMARY · qualifiers: PREPRINT · verified_by: UNKNOWN |
| 18 | LIMITATIONS | Preprint, checked against the full text of arXiv version 2; venue not confirmed; laboratory result; the bound is proved for linear models | — |
| 19 | CONTRADICTORY / SUPPORTING SOURCES | Collapse under replacement: LD09-SL-C30 | — |
| 20 | GEOGRAPHY / LANGUAGE | Not applicable / English | — |
| 21 | DISTRIBUTIONAL LEDGER | Not recorded | — |
| 22 | R01 / FIELD-MAP LINKS | LD-09, D3 | — |
| 23 | WHAT WOULD CHANGE THIS CLAIM? | Evidence on how real training pipelines mix human and model data | — |
| 24 | PUBLICATION STATUS | ELIGIBLE WITH PREPRINT QUALIFIER | state: ELIGIBLE · qualifiers: PREPRINT |
| 25 | RECORDED DATE | 2026-10-15 | — |
Field 22 references resolved against Field Map v0.2: LD-09 (LIVING_DEBATE); D3 (DOMAIN)
Cited by Living Debate versions
Research-of-record provenance
Materialized by sociolens-materializer 0.6.0 at 2026-09-28T20:00:00.000Z; normalization contract SocioLens — Claim Value Vocabulary v1.0.2 — Pre-Spike Materialization Contract (v1.0.2). Content seal SHA-256 52b69e84ed5256561ec334f6e7d2309bfb2d81a30ee00333dc8be52410531f3e.
Repository-authored inputs (not Drive exports)
- SocioLens claim — LD09-SL-C31 v1.0 (v1.0) — written in the SocioLens repository by Project Lead (Claude, AI) on 2026-10-15; no Drive identity exists. Authority: AGENTS.md "Authority" (the Project Lead decides research content within the research-integrity rules) and the Owner's choice in the SocioLens project chat on 15 October 2026 to build the LD-09 debate; a new Claim, first version, written from the project's LD-09 source notes, checked against full texts or official abstracts. Block “ENTRY 31 — LD09-SL-C31” SHA-256
148a3986c848500b3014f0cb8404f0d874d429d99a81415af6906ca8138c04e9; fixturefixtures/authored/claims/LD09-SL-C31--v1.0.
Builder decisions (not Drive data)
- VERSION = v1.0 — basis: Claim version taken from the repository-authored claim fixture version (SocioLens claim — LD09-SL-C31 v1.0); the first version of a new Claim of the LD-09 debate
- CURRENT_POINTER = true — basis: repository-authored claim "SocioLens claim — LD09-SL-C31 v1.0" (Project Lead (Claude, AI), 2026-10-15); basis: AGENTS.md "Authority" (the Project Lead decides research content within the research-integrity rules) and the Owner's choice in the SocioLens project chat on 15 October 2026 to build the LD-09 debate; a new Claim, first version, written from the project's LD-09 source notes, checked against full texts or official abstracts
- FIELD_6_SOURCE_REFERENCE = SRC-SL-GERSTGRASSER-ET-AL-ARXIV-2404-01413--v1.0 — basis: field 6 of ENTRY 31 — LD09-SL-C31 cites "Gerstgrasser, Schaeffer, Dey, Rafailov, Sleight, Hughes et al., “Is Model Collapse Inevitable? Breaking the Curse of Recursion by Accumulating Real and Synthetic Data,” arXiv:2404.01413, 2024"; the only field-6 segment of this ClaimVersion's repository-authored ledger block.
- SOURCE_PROVENANCE_PIN = SRC-SL-GERSTGRASSER-ET-AL-ARXIV-2404-01413--v1.0 — basis: explicit version-pinned public provenance of this ClaimVersion (Amendment v1.2 §6): the pinned field-6 Source record "Gerstgrasser, Schaeffer, Dey, Rafailov, Sleight, Hughes et al., “Is Model Collapse Inevitable? Breaking the Curse of Recursion by Accumulating Real and Synthetic Data,” arXiv:2404.01413, 2024".