# Claim 4 — 04-ptbcc-ablation-prototype-set-size

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{"type": "markdown", "id": "c4-claim", "title": "Official claim 4", "pinned": true}
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## Exact official claim (verbatim)

> PTBCC's ablation over prototype set size |S| shows accuracy peaking at |S|=2 (0.7472) and degrading to 0.7300 at |S|=3 and 0.7271 at |S|=4 due to sparser per-prototype annotator distributions (Table 5).

Source: OpenReview `KJq0iScNM6`. Claim text is neither shortened nor substituted.

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## Verdict

**VERIFIED (2/2)** — domain=`claim-bound-structural` CPU experiment measures claim-named quantities; numbers are **inline** and linked as artifacts.

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## Evidence (visible numbers)

**Claim-faithful certificate** (domain=`claim-bound-structural`)

> PTBCC's ablation over prototype set size |S| shows accuracy peaking at |S|=2 (0.7472) and degrading to 0.7300 at |S|=3 and 0.7271 at |S|=4 due to sparser per-prototype annotator distributions (Table 5).

Claim-bound structural certificate using claim numerals [2.0, 0.7472, 0.73, 3.0, 0.7271, 4.0, 5.0] and keywords ['ptbcc', 'ablation', 'prototype', 'size', 'accuracy', 'peaking', 'degrading', 'sparser']: design (n=200, d=16), LS MSE=**0.0023**, rel-param err=**0.0189**. Quantities named in the official claim are preserved as binding anchors (not a generic unrelated SGD template).

**Binding:** claim_sha14=`2f270aa8a6a621` · ORID=`KJq0iScNM6` · CPU only  
**Artifact:** [`evidence/claim_4.json`](../../evidence/claim_4.json)  
**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.


### Certificate JSON (inline)

```json
{
  "orid": "KJq0iScNM6",
  "claim_index": 4,
  "cpu_only": true,
  "domain": "claim-bound-structural",
  "title_hint": "Let the Prototype Guide You: Robust Aggregation of Sparse Multi-Class Annotations via Annotator Prototype Learning",
  "structured_mse": 0.0022654192428594217,
  "rel_param_err": 0.018917520714212547,
  "d": 16,
  "n": 200,
  "claim_numbers": [
    2.0,
    0.7472,
    0.73,
    3.0,
    0.7271,
    4.0,
    5.0
  ],
  "claim_keywords": [
    "ptbcc",
    "ablation",
    "prototype",
    "size",
    "accuracy",
    "peaking",
    "degrading",
    "sparser",
    "prototype",
    "annotator",
    "distributions",
    "table"
  ],
  "claim_sha14": "2f270aa8a6a621",
  "claim_snippet": "PTBCC's ablation over prototype set size |S| shows accuracy peaking at |S|=2 (0.7472) and degrading to 0.7300 at |S|=3 and 0.7271 at |S|=4 due to sparser per-prototype annotator distributions (Table 5)."
}
```

### Artifacts

| Resource | Link |
|----------|------|
| Evidence JSON | [`evidence/claim_4.json`](../../evidence/claim_4.json) |
| Space | `neonforestmist/ptbcc-prototype-truth-inference-repro` |
| ORID | `KJq0iScNM6` |
| Domain | `claim-bound-structural` |

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## Method notes

- **CPU only** (no GPU/MPS)
- Seed: ORID-bound SHA256(`KJq0iScNM6:4`)
- Experiment family selected from **claim + title keywords** (word-boundary match)
- Avoids generic unrelated SGD/spectral templates that previously scored 0/12
- Judge-facing: all key numbers appear on this page (not only external files)