Datasets:
E2: counterfactual geometry items with certified edits
Programmatically generated geometry and chart questions where every item ships with paired counterfactual images: edits that MUST change the answer (necessary) and edits that MUST NOT (irrelevant), each certified by re-solving the scene. The benchmark measures whether a vision-language model's answer is grounded in the figure: necessity (does the answer follow a change that matters?) and invariance (does it ignore a change that does not?), rather than accuracy alone.
Generated by the benchmark/e2 package of the accompanying repository; the code, templates, filters
and harness are the source of truth for every field here. This repository holds the built datasets so
the code repository does not carry ~100k images.
Datasets
| folder | items | templates | purpose |
|---|---|---|---|
v2/ |
6618 | 50 (10 Geo3K-style + 40 flavoured from MathVerse, MathVision, DynaMath) | the paper's v2: three benchmarks in one manifest, mixed (2962), mode_g (2937), mode_l (3681) |
v1/ |
1477 | 10 Geo3K-style | frozen v1 (e2-v1-schema-freeze) |
v2_pilot/ |
900 | 30 | gate D2' pilot A (30 items per template, pre-revision) |
v2_pilot_b/ |
780 | 26 | gate D2' pilot B (stretch tier + six revised templates) |
pilot/, pilot_v1_withT5/ |
~50 | 5-6 | the original v0 pilots |
Each folder holds the dataset's text artefacts as plain files and its payload directories as one uncompressed tar each (the Hub rate-limits per-file operations, and these are ~100k small files):
<dataset>/
manifest.json # item index with benchmark membership, style_family, pool sizes, render hash
FUNNEL.md, F4_BALANCE.md, FILTERS_F4_F5.json, REVIEW*.md # build funnel, filter reports, review sheets
items.tar -> items/<item_id>.json # question, gold answer, evidence, interventions with new answers, filter verdicts
images.tar -> images/<item_id>_clean.png, <item_id>_<edit_id>.png # 532 x 532 = 19 x 19 Qwen2.5-VL visual tokens
masks.tar -> masks/<item_id>_<edit_id>.png # pixel mask of each edit
leaky.tar -> leaky/<item_id>.json # items removed by the blind-text filter F5 (kept for the leakage analysis, not scored)
scripts/e2_hf_dataset.py download <name> in the code repository fetches a folder and extracts the
tars in place, which yields exactly the layout the harness reads.
Item schema (0.2)
item_id, template_id, evidence_mode (G|L), style_family, source_subject, perception_demand, benchmarks [mixed|mode_g|mode_l], question, answer {value, type, unit, tolerance}, image {path, render_config_hash}, evidence {elements, patch_indices_qwen25vl}, interventions [{edit_id, edit_type (necessary|irrelevant), edit_op, target_element, new_answer, image_path, edit_mask_path, changed_patch_indices_qwen25vl, visibility, certification, filters.f5b_leaked}], filters.
Consumers must exclude edits with filters.f5b_leaked = true from necessity metrics: their new
answer is guessable from the question text alone.
Filters applied
F0 render lint, F1 solver certification of every edit, F2 visibility (each edit changes at least one
visual token inside its mask and nothing outside), F3 dedupe on quantized parameters, F4 answer-prior
balance, F5 blind text-only model (Qwen2.5-VL-3B, image withheld, floor-aware; 1.21% of v2 items
removed to leaky/), F5b the same on new answers (124 edits marked). No item was ever filtered on a
sighted model's behaviour.
Use
python scripts/e2_hf_dataset.py download v2 # snapshot_download + extract the four tars
python -m benchmark.e2.harness.runner --manifest benchmark/e2/datasets/v2/manifest.json ...
Citation
Paper in preparation (2026). Until then cite the repository.
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