{
 "license": "CC-BY-NC-4.0; derived from the MerRec dataset, Copyright Mercari, Inc.; see LICENSE-MERREC.md in this directory",
 "name": "a_brand_resolution",
 "description": "Brand twins resolved by a decision model: the 120 highest fan-Jaccard pairs among the 2,000 most liked accepted brands, the pairs accepted as one brand, the exact fan counts of the merged brands and a trigram control over all 20,000 names.",
 "captures": [
  "a_brand_resolution_live.json"
 ],
 "server_binary_sha256": "e2aaf1424e9dd8605835ddb3e09abef2cb5b3629796e3c4a11bb43dac3c9d697",
 "questions": {
  "relationship_type": {
   "type": "choice",
   "instructions": "Determine the exact catalog relationship between Brand A and Brand B, which share high behavioral fan overlap in a peer-to-peer marketplace.",
   "criteria": {
    "same_entity_alias": "Exact same brand, artist group, or company entered under two different names, abbreviations, acronyms, or historical rebrands (e.g., 'Tomorrow X Together' = 'TXT', 'A Bathing Ape' = 'Bape', 'Mugler' = 'Thierry Mugler', 'Dior' = 'Christian Dior', 'Good Smile' = 'Good Smile Company', 'Jeffree Star Cosmetics' = 'JSC')",
    "sub_brand_or_diffusion_line": "One is a direct sub-brand, diffusion line, or division of the other parent fashion/footwear brand (e.g., 'Victoria\\'s Secret' and 'PINK', 'Free People' and 'We The Free', 'Nike' and 'Air Jordan'/'Jordan', 'NCT' and sub-unit 'NCT 127' or 'NCT Dream')",
    "ip_franchise_and_owner_maker": "One is a character IP / game / anime franchise and the other is its parent studio, publisher, or toy manufacturer (e.g., 'Hello Kitty'/'My Melody'/'Kuromi'/'Cinnamoroll' and 'Sanrio', 'Rilakkuma' and 'San-X', 'Yu-Gi-Oh!' and 'Konami', 'Pokemon' and 'Nintendo', 'Gundam' and 'Bandai')",
    "distinct_co_liked_peers": "Two distinct competing brands, separate music artists/groups, or sister characters that merely appeal to the same fan demographic (e.g., 'Ateez' vs 'Stray Kids', 'Panini' vs 'Topps', 'My Melody' vs 'Kuromi')"
   }
  },
  "should_merge_brand_id": {
   "type": "noul",
   "instructions": "In a master brand catalog deduplication pipeline, should Brand A and Brand B be merged into a single canonical `brand_id` because they denote the exact same brand entity (acronym, abbreviation, spelling variant, or rebrand)?",
   "criteria": {
    "true": "Yes: Brand A and Brand B are synonymous names/abbreviations/rebrands for the exact same entity and splitting them is a catalog duplication bug",
    "false": "No: They are distinct brands, character vs parent company, parent vs sub-brand, or separate artists/characters"
   }
  },
  "alignment_score": {
   "type": "score",
   "instructions": "Rate the ontological equivalence between Brand A and Brand B.",
   "criteria": [
    "0 - Separate competing brands, separate musical artists, or distinct sister characters",
    "1 - Franchise/character IP paired with its manufacturer or publisher (e.g., Hello Kitty & Sanrio)",
    "2 - Parent brand paired with an official sub-brand, division, or group sub-unit (e.g., Victoria's Secret & PINK)",
    "3 - Identical brand entity split across two catalog strings (e.g., TXT & Tomorrow X Together, Bape & A Bathing Ape)"
   ]
  }
 },
 "policy": {
  "action_question": "should_merge_brand_id",
  "accept_min": 0.7,
  "review_min": 0.3,
  "require": {
   "relationship_type": [
    "same_entity_alias"
   ]
  }
 },
 "ontology": {
  "rows": 179,
  "excluded_brand_ids": 82
 },
 "sql": {
  "probe": "WITH fans AS (\n  SELECT -(e.user_id + 1) AS src, CAST(i.brand_id AS BIGINT) AS dst\n  FROM merrec_events e JOIN merrec_items i ON i.item_id = e.item_id\n  LEFT JOIN brand_ontology o ON o.brand_id = CAST(i.brand_id AS BIGINT)\n  WHERE e.event_type = 'item_like' AND i.brand_id <> 0\n    AND (o.brand_id IS NULL OR o.band = 'accept')\n  GROUP BY e.user_id, i.brand_id\n), top_brands AS (\n  SELECT dst AS brand_id, COUNT(*) AS fans FROM fans GROUP BY dst ORDER BY fans DESC, dst LIMIT 2000\n), brands AS (\n  SELECT CAST(brand_id AS BIGINT) AS brand_id, MIN(brand_name) AS brand_name\n  FROM merrec_items WHERE brand_id <> 0 GROUP BY brand_id\n)\nSELECT r.first AS brand_id_a, ba.brand_name AS brand_a,\n       r.second AS brand_id_b, bb.brand_name AS brand_b,\n       a.fans AS fans_a, b.fans AS fans_b, r.similarity AS jaccard\nFROM cugraph_jaccard(\n  edges => (SELECT src, dst FROM fans),\n  vertex_pairs => (SELECT a.brand_id AS first, b.brand_id AS second\n                   FROM top_brands a JOIN top_brands b ON a.brand_id < b.brand_id),\n  directed => false\n) r\nJOIN top_brands a ON a.brand_id = r.first\nJOIN top_brands b ON b.brand_id = r.second\nJOIN brands ba ON ba.brand_id = r.first\nJOIN brands bb ON bb.brand_id = r.second\nORDER BY r.similarity DESC, r.first, r.second\nLIMIT 120\n",
  "context": "WITH target_items AS (\n  SELECT CAST(brand_id AS BIGINT) AS brand_id, category_path, name, price\n  FROM merrec_items\n  WHERE brand_id IN ({brand_ids})\n), stats AS (\n  SELECT brand_id, COUNT(*) AS listings, ROUND(AVG(price), 2) AS avg_price\n  FROM target_items\n  GROUP BY brand_id\n), top_cat AS (\n  SELECT brand_id, category_path,\n         ROW_NUMBER() OVER (PARTITION BY brand_id ORDER BY COUNT(*) DESC, category_path) AS rk\n  FROM target_items\n  WHERE category_path IS NOT NULL\n  GROUP BY brand_id, category_path\n), sample_titles AS (\n  SELECT brand_id, name,\n         ROW_NUMBER() OVER (PARTITION BY brand_id ORDER BY name) AS trk\n  FROM target_items\n  WHERE name IS NOT NULL\n)\nSELECT s.brand_id, s.listings, s.avg_price,\n       MAX(CASE WHEN tc.rk = 1 THEN tc.category_path END) AS top_category,\n       MAX(CASE WHEN tc.rk = 2 THEN tc.category_path END) AS second_category,\n       MAX(CASE WHEN st.trk = 5 THEN st.name END) AS sample_1,\n       MAX(CASE WHEN st.trk = 25 THEN st.name END) AS sample_2,\n       MAX(CASE WHEN st.trk = 50 THEN st.name END) AS sample_3\nFROM stats s\nLEFT JOIN top_cat tc ON tc.brand_id = s.brand_id AND tc.rk <= 2\nLEFT JOIN sample_titles st ON st.brand_id = s.brand_id AND st.trk IN (5, 25, 50)\nGROUP BY s.brand_id, s.listings, s.avg_price\nORDER BY s.brand_id\n",
  "canonical": "SELECT vertex AS brand_id, component AS canonical_id\nFROM cugraph_weakly_connected_components(\n  edges => (SELECT brand_id_a AS src, brand_id_b AS dst FROM brand_pairs WHERE band = 'accept'),\n  directed => false\n)\nORDER BY canonical_id, brand_id\n",
  "dedup": "WITH likes AS (\n  SELECT c.canonical_id, c.brand_id, e.user_id\n  FROM merrec_events e\n  JOIN merrec_items i ON i.item_id = e.item_id\n  JOIN brand_canonical c ON c.brand_id = CAST(i.brand_id AS BIGINT)\n  WHERE e.event_type = 'item_like'\n), member_fans AS (\n  SELECT canonical_id, brand_id, COUNT(DISTINCT user_id) AS fans\n  FROM likes GROUP BY canonical_id, brand_id\n), union_fans AS (\n  SELECT canonical_id, COUNT(DISTINCT user_id) AS exact_union_fans\n  FROM likes GROUP BY canonical_id\n), brands AS (\n  SELECT CAST(brand_id AS BIGINT) AS brand_id, MIN(brand_name) AS brand_name\n  FROM merrec_items WHERE brand_id <> 0 GROUP BY brand_id\n)\nSELECT m.canonical_id,\n       MIN(cb.brand_name) AS canonical_name,\n       COUNT(*) AS members,\n       MAX(m.fans) AS primary_fans,\n       SUM(m.fans) AS naive_sum_fans,\n       MAX(u.exact_union_fans) AS exact_union_fans,\n       ROUND(100.0 * (MAX(u.exact_union_fans) - MAX(m.fans)) / MAX(m.fans), 1) AS gain_pct,\n       ROUND(100.0 * (SUM(m.fans) - MAX(u.exact_union_fans)) / SUM(m.fans), 1) AS double_count_pct\nFROM member_fans m\nJOIN union_fans u ON u.canonical_id = m.canonical_id\nJOIN brands cb ON cb.brand_id = m.canonical_id\nGROUP BY m.canonical_id\nORDER BY exact_union_fans DESC, m.canonical_id\n"
 },
 "stages": [
  {
   "name": "probe",
   "rows": 120,
   "elapsed_s": 3.287839761003852,
   "query_id": "aecb6cc4-181b-4f99-9461-a21d737ca8f5",
   "native_fragments": 6,
   "host_boundaries": 0,
   "allocator_peak_bytes": 75028853123,
   "query_limit_bytes": 96636764160
  },
  {
   "name": "context",
   "rows": 157,
   "elapsed_s": 0.5209308722987771,
   "query_id": "f55b0d08-2558-41b0-aceb-95ed73ae555c",
   "native_fragments": 1,
   "host_boundaries": 0,
   "allocator_peak_bytes": 11622153154,
   "query_limit_bytes": 96636764160
  },
  {
   "name": "canonical",
   "rows": 36,
   "elapsed_s": 0.022468896117061377,
   "query_id": "320d6edb-96f2-45f5-8e72-f09441fbae4f",
   "native_fragments": 2,
   "host_boundaries": 0,
   "allocator_peak_bytes": 13862,
   "query_limit_bytes": 96636764160
  },
  {
   "name": "dedup",
   "rows": 18,
   "elapsed_s": 2.8503389838151634,
   "query_id": "93fd28b1-3e07-4bcc-aab9-7e2acf6cb569",
   "native_fragments": 1,
   "host_boundaries": 0,
   "allocator_peak_bytes": 31264881599,
   "query_limit_bytes": 96636764160
  },
  {
   "name": "brand_names",
   "rows": 20000,
   "elapsed_s": 0.09620286244899035,
   "query_id": "767f3a94-3cbd-489b-8ba5-494a56578036",
   "native_fragments": 1,
   "host_boundaries": 0,
   "allocator_peak_bytes": 4382405297,
   "query_limit_bytes": 96636764160
  }
 ],
 "decisions": [
  {
   "name": "decide",
   "entities": 120,
   "distinct_states": 120,
   "registry_hits": 0,
   "hit_rate": 0.0,
   "api_calls": 120,
   "wall_s": 5.640766701195389,
   "input_tokens": 146828,
   "output_tokens": 12686,
   "cost_usd": 0.006166776000000003,
   "latency_ms_p50": 577,
   "latency_ms_p95": 1064,
   "latency_ms_max": 2125
  }
 ],
 "totals": {
  "gpu_elapsed_s": 6.777781375683844,
  "decide_wall_s": 5.640766701195389,
  "entities": 120,
  "registry_hits": 0,
  "api_calls": 120,
  "input_tokens": 146828,
  "output_tokens": 12686,
  "cost_usd": 0.006166776000000003,
  "max_host_boundaries": 0
 },
 "band_counts": {
  "accept": 18,
  "review": 7,
  "reject": 95
 },
 "relationship_counts": {
  "distinct_co_liked_peers": 82,
  "ip_franchise_and_owner_maker": 6,
  "same_entity_alias": 22,
  "sub_brand_or_diffusion_line": 10
 },
 "pairs": [
  {
   "rank": 1,
   "brand_id_a": 22527,
   "brand_a": "Tomorrow X Together",
   "brand_id_b": 23732,
   "brand_b": "TXT",
   "fans_a": 13880,
   "fans_b": 8267,
   "jaccard": 0.43578606843948364,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.73,
   "alignment_score": 2.83,
   "band": "accept",
   "trigram_similarity": 0.0476
  },
  {
   "rank": 2,
   "brand_id_a": 19332,
   "brand_a": "Rilakkuma",
   "brand_id_b": 22167,
   "brand_b": "San-X",
   "fans_a": 10232,
   "fans_b": 14392,
   "jaccard": 0.36739227175712585,
   "relationship_type": "ip_franchise_and_owner_maker",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.1,
   "alignment_score": 1.03,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 3,
   "brand_id_a": 3698,
   "brand_a": "Baby Tula",
   "brand_id_b": 23174,
   "brand_b": "Tula",
   "fans_a": 3398,
   "fans_b": 3806,
   "jaccard": 0.35515424609184265,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 0.76,
   "should_merge_brand_id": 0.44,
   "alignment_score": 2.24,
   "band": "review",
   "trigram_similarity": 0.5
  },
  {
   "rank": 4,
   "brand_id_a": 436,
   "brand_a": "Air Jordan",
   "brand_id_b": 11073,
   "brand_b": "Jordan",
   "fans_a": 123149,
   "fans_b": 72496,
   "jaccard": 0.3533264994621277,
   "relationship_type": "sub_brand_or_diffusion_line",
   "relationship_type_p": 0.78,
   "should_merge_brand_id": 0.54,
   "alignment_score": 2.32,
   "band": "review",
   "trigram_similarity": 0.6364
  },
  {
   "rank": 5,
   "brand_id_a": 13832,
   "brand_a": "Mugler",
   "brand_id_b": 22763,
   "brand_b": "Thierry Mugler",
   "fans_a": 6232,
   "fans_b": 5925,
   "jaccard": 0.34823110699653625,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.9,
   "alignment_score": 2.92,
   "band": "accept",
   "trigram_similarity": 0.4667
  },
  {
   "rank": 6,
   "brand_id_a": 8486,
   "brand_a": "Freebird",
   "brand_id_b": 8593,
   "brand_b": "Freebird By Steven",
   "fans_a": 2949,
   "fans_b": 4173,
   "jaccard": 0.34377357363700867,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 0.6900000000000001,
   "should_merge_brand_id": 0.61,
   "alignment_score": 2.31,
   "band": "review",
   "trigram_similarity": 0.4737
  },
  {
   "rank": 7,
   "brand_id_a": 9755,
   "brand_a": "Hello Kitty",
   "brand_id_b": 19884,
   "brand_b": "Sanrio",
   "fans_a": 72010,
   "fans_b": 109359,
   "jaccard": 0.3370266258716583,
   "relationship_type": "ip_franchise_and_owner_maker",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.09,
   "alignment_score": 1.03,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 8,
   "brand_id_a": 3481,
   "brand_a": "Bandai Tamashii Nations",
   "brand_id_b": 20151,
   "brand_b": "SH Figuarts",
   "fans_a": 19742,
   "fans_b": 9907,
   "jaccard": 0.33409827947616577,
   "relationship_type": "sub_brand_or_diffusion_line",
   "relationship_type_p": 0.95,
   "should_merge_brand_id": 0.21,
   "alignment_score": 1.99,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 9,
   "brand_id_a": 11904,
   "brand_a": "Konami",
   "brand_id_b": 25248,
   "brand_b": "Yu-Gi-Oh!",
   "fans_a": 12915,
   "fans_b": 8340,
   "jaccard": 0.3244641125202179,
   "relationship_type": "ip_franchise_and_owner_maker",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.11,
   "alignment_score": 1.02,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 10,
   "brand_id_a": 25269,
   "brand_a": "Yves Saint Laurent",
   "brand_id_b": 25277,
   "brand_b": "YSL Yves Saint Laurent",
   "fans_a": 22460,
   "fans_b": 23895,
   "jaccard": 0.3239746391773224,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.87,
   "alignment_score": 2.93,
   "band": "accept",
   "trigram_similarity": 0.8571
  },
  {
   "rank": 11,
   "brand_id_a": 4513,
   "brand_a": "Christian Dior",
   "brand_id_b": 5856,
   "brand_b": "Dior",
   "fans_a": 38883,
   "fans_b": 37626,
   "jaccard": 0.32126203179359436,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.78,
   "alignment_score": 2.86,
   "band": "accept",
   "trigram_similarity": 0.3333
  },
  {
   "rank": 12,
   "brand_id_a": 303,
   "brand_a": "A Bathing Ape",
   "brand_id_b": 2493,
   "brand_b": "Bape",
   "fans_a": 12620,
   "fans_b": 13245,
   "jaccard": 0.320249080657959,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.87,
   "alignment_score": 2.89,
   "band": "accept",
   "trigram_similarity": 0.2857
  },
  {
   "rank": 13,
   "brand_id_a": 2830,
   "brand_a": "BabyBjorn",
   "brand_id_b": 3422,
   "brand_b": "BABYBJÖRN",
   "fans_a": 2969,
   "fans_b": 3434,
   "jaccard": 0.3202061951160431,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.92,
   "alignment_score": 2.95,
   "band": "accept",
   "trigram_similarity": 0.5385
  },
  {
   "rank": 14,
   "brand_id_a": 9624,
   "brand_a": "Hermès",
   "brand_id_b": 9895,
   "brand_b": "HERMES",
   "fans_a": 8923,
   "fans_b": 7051,
   "jaccard": 0.3201652765274048,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 0.99,
   "should_merge_brand_id": 0.86,
   "alignment_score": 2.92,
   "band": "accept",
   "trigram_similarity": 0.4
  },
  {
   "rank": 15,
   "brand_id_a": 7262,
   "brand_a": "Essentials",
   "brand_id_b": 8602,
   "brand_b": "Fear of God",
   "fans_a": 10099,
   "fans_b": 11729,
   "jaccard": 0.31517744064331055,
   "relationship_type": "sub_brand_or_diffusion_line",
   "relationship_type_p": 0.91,
   "should_merge_brand_id": 0.15,
   "alignment_score": 1.04,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 16,
   "brand_id_a": 18406,
   "brand_a": "Panini",
   "brand_id_b": 22635,
   "brand_b": "Topps",
   "fans_a": 36503,
   "fans_b": 36718,
   "jaccard": 0.3148670196533203,
   "relationship_type": "distinct_co_liked_peers",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.04,
   "alignment_score": 0.01,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 17,
   "brand_id_a": 23265,
   "brand_a": "Toy Biz",
   "brand_id_b": 23415,
   "brand_b": "Toybiz",
   "fans_a": 7008,
   "fans_b": 6707,
   "jaccard": 0.3043271601200104,
   "relationship_type": "same_entity_alias",
   "relationship_type_p": 0.99,
   "should_merge_brand_id": 0.81,
   "alignment_score": 2.88,
   "band": "accept",
   "trigram_similarity": 0.5
  },
  {
   "rank": 18,
   "brand_id_a": 4411,
   "brand_a": "Collector's Gallery",
   "brand_id_b": 22301,
   "brand_b": "Stray Kids",
   "fans_a": 10098,
   "fans_b": 7822,
   "jaccard": 0.3013797998428345,
   "relationship_type": "distinct_co_liked_peers",
   "relationship_type_p": 0.92,
   "should_merge_brand_id": 0.08,
   "alignment_score": 0.42,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 19,
   "brand_id_a": 15822,
   "brand_a": "NCT",
   "brand_id_b": 22302,
   "brand_b": "SM Entertainment",
   "fans_a": 14569,
   "fans_b": 16116,
   "jaccard": 0.2992209196090698,
   "relationship_type": "sub_brand_or_diffusion_line",
   "relationship_type_p": 0.61,
   "should_merge_brand_id": 0.09,
   "alignment_score": 1.61,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 20,
   "brand_id_a": 3611,
   "brand_a": "Banpresto",
   "brand_id_b": 9384,
   "brand_b": "Good Smile Company",
   "fans_a": 43473,
   "fans_b": 40636,
   "jaccard": 0.29709765315055847,
   "relationship_type": "distinct_co_liked_peers",
   "relationship_type_p": 1.0,
   "should_merge_brand_id": 0.03,
   "alignment_score": 0.01,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 21,
   "brand_id_a": 2599,
   "brand_a": "Bandai",
   "brand_id_b": 3611,
   "brand_b": "Banpresto",
   "fans_a": 70021,
   "fans_b": 43473,
   "jaccard": 0.2914656400680542,
   "relationship_type": "sub_brand_or_diffusion_line",
   "relationship_type_p": 0.55,
   "should_merge_brand_id": 0.07,
   "alignment_score": 0.61,
   "band": "reject",
   "trigram_similarity": 0.2143
  },
  {
   "rank": 22,
   "brand_id_a": 17626,
   "brand_a": "PINK",
   "brand_id_b": 24159,
   "brand_b": "Victoria's Secret",
   "fans_a": 91079,
   "fans_b": 140039,
   "jaccard": 0.2841387093067169,
   "relationship_type": "sub_brand_or_diffusion_line",
   "relationship_type_p": 0.99,
   "should_merge_brand_id": 0.09,
   "alignment_score": 1.8,
   "band": "reject",
   "trigram_similarity": 0.0
  },
  {
   "rank": 23,
   "brand_id_a": 4815,
   "brand_a": "Carter's",
   "brand_id_b": 5617,
   "brand_b": "Cat & Jack",
   "fans_a": 70873,
   "fans_b": 61575,
   "jaccard": 0.2800000011920929,
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   },
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    "brand_a": "Case-Mate",
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   },
   {
    "brand_id_a": 6045,
    "brand_a": "Demdaco",
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    "brand_b": "DEMDACO",
    "trigram_similarity": 1.0
   },
   {
    "brand_id_a": 7285,
    "brand_a": "Eureka!",
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    "brand_b": "Eureka",
    "trigram_similarity": 1.0
   }
  ],
  "probe_pairs": 120,
  "probe_pairs_proposed": 14,
  "accepted_aliases": 18,
  "accepted_found": 9,
  "accepted_missed": 9,
  "wrongly_proposed": 5,
  "wrongly_proposed_by_relationship": {
   "distinct_co_liked_peers": 1,
   "same_entity_alias": 2,
   "sub_brand_or_diffusion_line": 2
  },
  "found": [
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    "brand_a": "Yves Saint Laurent",
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    "brand_b": "YSL Yves Saint Laurent",
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   },
   {
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    "brand_b": "BABYBJÖRN",
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    "relationship_type": "same_entity_alias",
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    "band": "accept"
   },
   {
    "brand_id_a": 23265,
    "brand_a": "Toy Biz",
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    "brand_b": "Toybiz",
    "trigram_similarity": 0.5,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.81,
    "band": "accept"
   },
   {
    "brand_id_a": 4713,
    "brand_a": "Children's Place",
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    "brand_b": "The Children's Place",
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    "relationship_type": "same_entity_alias",
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    "band": "accept"
   },
   {
    "brand_id_a": 3438,
    "brand_a": "By Kilian",
    "brand_id_b": 12327,
    "brand_b": "KILIAN",
    "trigram_similarity": 0.7,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.88,
    "band": "accept"
   },
   {
    "brand_id_a": 208,
    "brand_a": "All Saints",
    "brand_id_b": 514,
    "brand_b": "AllSaints",
    "trigram_similarity": 0.6154,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.9,
    "band": "accept"
   },
   {
    "brand_id_a": 400,
    "brand_a": "Armani Exchange",
    "brand_id_b": 715,
    "brand_b": "A|X Armani Exchange",
    "trigram_similarity": 0.8889,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.91,
    "band": "accept"
   },
   {
    "brand_id_a": 17571,
    "brand_a": "Pampered Chef",
    "brand_id_b": 23414,
    "brand_b": "The Pampered Chef",
    "trigram_similarity": 0.7778,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.84,
    "band": "accept"
   },
   {
    "brand_id_a": 12667,
    "brand_a": "Lauren Conrad",
    "brand_id_b": 12938,
    "brand_b": "LC Lauren Conrad",
    "trigram_similarity": 0.875,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.83,
    "band": "accept"
   }
  ],
  "missed": [
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    "brand_id_a": 22527,
    "brand_a": "Tomorrow X Together",
    "brand_id_b": 23732,
    "brand_b": "TXT",
    "trigram_similarity": 0.0476,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.73,
    "band": "accept"
   },
   {
    "brand_id_a": 13832,
    "brand_a": "Mugler",
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    "brand_b": "Thierry Mugler",
    "trigram_similarity": 0.4667,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.9,
    "band": "accept"
   },
   {
    "brand_id_a": 4513,
    "brand_a": "Christian Dior",
    "brand_id_b": 5856,
    "brand_b": "Dior",
    "trigram_similarity": 0.3333,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.78,
    "band": "accept"
   },
   {
    "brand_id_a": 303,
    "brand_a": "A Bathing Ape",
    "brand_id_b": 2493,
    "brand_b": "Bape",
    "trigram_similarity": 0.2857,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.87,
    "band": "accept"
   },
   {
    "brand_id_a": 9624,
    "brand_a": "Hermès",
    "brand_id_b": 9895,
    "brand_b": "HERMES",
    "trigram_similarity": 0.4,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.86,
    "band": "accept"
   },
   {
    "brand_id_a": 22529,
    "brand_a": "Thrive Causemetics",
    "brand_id_b": 22545,
    "brand_b": "Thrive",
    "trigram_similarity": 0.3684,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.74,
    "band": "accept"
   },
   {
    "brand_id_a": 12590,
    "brand_a": "L'Oréal",
    "brand_id_b": 12700,
    "brand_b": "L'Oreal",
    "trigram_similarity": 0.4,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.8,
    "band": "accept"
   },
   {
    "brand_id_a": 748,
    "brand_a": "Ann Taylor LOFT",
    "brand_id_b": 12529,
    "brand_b": "LOFT",
    "trigram_similarity": 0.3125,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.85,
    "band": "accept"
   },
   {
    "brand_id_a": 6992,
    "brand_a": "ELF",
    "brand_id_b": 7254,
    "brand_b": "e.l.f. Cosmetics",
    "trigram_similarity": 0.2857,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.76,
    "band": "accept"
   }
  ],
  "wrongly_proposed_pairs": [
   {
    "brand_id_a": 3698,
    "brand_a": "Baby Tula",
    "brand_id_b": 23174,
    "brand_b": "Tula",
    "trigram_similarity": 0.5,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.44,
    "band": "review"
   },
   {
    "brand_id_a": 436,
    "brand_a": "Air Jordan",
    "brand_id_b": 11073,
    "brand_b": "Jordan",
    "trigram_similarity": 0.6364,
    "relationship_type": "sub_brand_or_diffusion_line",
    "should_merge_brand_id": 0.54,
    "band": "review"
   },
   {
    "brand_id_a": 17474,
    "brand_a": "Polo Ralph Lauren",
    "brand_id_b": 18895,
    "brand_b": "Ralph Lauren",
    "trigram_similarity": 0.7222,
    "relationship_type": "sub_brand_or_diffusion_line",
    "should_merge_brand_id": 0.49,
    "band": "review"
   },
   {
    "brand_id_a": 9549,
    "brand_a": "Hourglass Cosmetics",
    "brand_id_b": 9730,
    "brand_b": "Hourglass",
    "trigram_similarity": 0.5,
    "relationship_type": "same_entity_alias",
    "should_merge_brand_id": 0.69,
    "band": "review"
   },
   {
    "brand_id_a": 4356,
    "brand_a": "Crystal",
    "brand_id_b": 4479,
    "brand_b": "Crystal Rock",
    "trigram_similarity": 0.6154,
    "relationship_type": "distinct_co_liked_peers",
    "should_merge_brand_id": 0.17,
    "band": "reject"
   }
  ],
  "elapsed_s": 2.0779002448543906
 },
 "full_pairwise_cost_estimate": {
  "brands": 20000,
  "pairs": 199990000,
  "probe_decisions": 120,
  "pairs_per_probe_decision": 1666583.3333333333,
  "mean_cost_usd_per_decision": 5.138980000000003e-05,
  "mean_input_tokens_per_decision": 1223.5666666666666,
  "estimated_cost_usd": 10277.446102000005,
  "estimated_input_tokens": 244701097666.66666,
  "basis": "this run's backend calls; not executed"
 }
}