clean
stringlengths
50
59
corrupted
stringclasses
315 values
year
stringclasses
679 values
The relationship lasted from the year 1651 to the year 1652
The relationship lasted from the year 1601 to the year 1601
1651
The trial lasted from the year 1712 to the year 1713
The trial lasted from the year 1701 to the year 1701
1712
The competition lasted from the year 1152 to the year 1153
The competition lasted from the year 1101 to the year 1101
1152
The fall lasted from the year 1463 to the year 1464
The fall lasted from the year 1401 to the year 1401
1463
The construction lasted from the year 1152 to the year 1153
The construction lasted from the year 1101 to the year 1101
1152
The therapy lasted from the year 1273 to the year 1274
The therapy lasted from the year 1201 to the year 1201
1273
The competition lasted from the year 1495 to the year 1496
The competition lasted from the year 1401 to the year 1401
1495
The riot lasted from the year 1323 to the year 1324
The riot lasted from the year 1301 to the year 1301
1323
The fall lasted from the year 1363 to the year 1364
The fall lasted from the year 1301 to the year 1301
1363
The attack lasted from the year 1580 to the year 1581
The attack lasted from the year 1501 to the year 1501
1580
The order lasted from the year 1649 to the year 1650
The order lasted from the year 1601 to the year 1601
1649
The contact lasted from the year 1708 to the year 179
The contact lasted from the year 1701 to the year 1701
1708
The existence lasted from the year 1486 to the year 1487
The existence lasted from the year 1401 to the year 1401
1486
The process lasted from the year 1795 to the year 1796
The process lasted from the year 1701 to the year 1701
1795
The tests lasted from the year 1461 to the year 1462
The tests lasted from the year 1401 to the year 1401
1461
The impact lasted from the year 1715 to the year 1716
The impact lasted from the year 1701 to the year 1701
1715
The process lasted from the year 1538 to the year 1539
The process lasted from the year 1501 to the year 1501
1538
The case lasted from the year 1608 to the year 169
The case lasted from the year 1601 to the year 1601
1608
The tour lasted from the year 1534 to the year 1535
The tour lasted from the year 1501 to the year 1501
1534
The contact lasted from the year 1206 to the year 127
The contact lasted from the year 1201 to the year 1201
1206
The coma lasted from the year 1425 to the year 1426
The coma lasted from the year 1401 to the year 1401
1425
The rule lasted from the year 1586 to the year 1587
The rule lasted from the year 1501 to the year 1501
1586
The employment lasted from the year 1608 to the year 169
The employment lasted from the year 1601 to the year 1601
1608
The development lasted from the year 1585 to the year 1586
The development lasted from the year 1501 to the year 1501
1585
The effect lasted from the year 1172 to the year 1173
The effect lasted from the year 1101 to the year 1101
1172
The contact lasted from the year 1738 to the year 1739
The contact lasted from the year 1701 to the year 1701
1738
The therapy lasted from the year 1379 to the year 1380
The therapy lasted from the year 1301 to the year 1301
1379
The deal lasted from the year 1483 to the year 1484
The deal lasted from the year 1401 to the year 1401
1483
The contract lasted from the year 1128 to the year 1129
The contract lasted from the year 1101 to the year 1101
1128
The project lasted from the year 1607 to the year 168
The project lasted from the year 1601 to the year 1601
1607
The contract lasted from the year 1382 to the year 1383
The contract lasted from the year 1301 to the year 1301
1382
The assessment lasted from the year 1594 to the year 1595
The assessment lasted from the year 1501 to the year 1501
1594
The trial lasted from the year 1585 to the year 1586
The trial lasted from the year 1501 to the year 1501
1585
The effect lasted from the year 1205 to the year 126
The effect lasted from the year 1201 to the year 1201
1205
The competition lasted from the year 1750 to the year 1751
The competition lasted from the year 1701 to the year 1701
1750
The challenge lasted from the year 1786 to the year 1787
The challenge lasted from the year 1701 to the year 1701
1786
The operation lasted from the year 1680 to the year 1681
The operation lasted from the year 1601 to the year 1601
1680
The contact lasted from the year 1209 to the year 1210
The contact lasted from the year 1201 to the year 1201
1209
The fall lasted from the year 1188 to the year 1189
The fall lasted from the year 1101 to the year 1101
1188
The employment lasted from the year 1729 to the year 1730
The employment lasted from the year 1701 to the year 1701
1729
The rule lasted from the year 1406 to the year 147
The rule lasted from the year 1401 to the year 1401
1406
The operation lasted from the year 1448 to the year 1449
The operation lasted from the year 1401 to the year 1401
1448
The test lasted from the year 1426 to the year 1427
The test lasted from the year 1401 to the year 1401
1426
The test lasted from the year 1692 to the year 1693
The test lasted from the year 1601 to the year 1601
1692
The trial lasted from the year 1472 to the year 1473
The trial lasted from the year 1401 to the year 1401
1472
The growth lasted from the year 1650 to the year 1651
The growth lasted from the year 1601 to the year 1601
1650
The impact lasted from the year 1236 to the year 1237
The impact lasted from the year 1201 to the year 1201
1236
The tour lasted from the year 1476 to the year 1477
The tour lasted from the year 1401 to the year 1401
1476
The program lasted from the year 1670 to the year 1671
The program lasted from the year 1601 to the year 1601
1670
The increase lasted from the year 1362 to the year 1363
The increase lasted from the year 1301 to the year 1301
1362
The construction lasted from the year 1286 to the year 1287
The construction lasted from the year 1201 to the year 1201
1286
The quest lasted from the year 1242 to the year 1243
The quest lasted from the year 1201 to the year 1201
1242
The deal lasted from the year 1544 to the year 1545
The deal lasted from the year 1501 to the year 1501
1544
The relationship lasted from the year 1282 to the year 1283
The relationship lasted from the year 1201 to the year 1201
1282
The deal lasted from the year 1172 to the year 1173
The deal lasted from the year 1101 to the year 1101
1172
The relationship lasted from the year 1144 to the year 1145
The relationship lasted from the year 1101 to the year 1101
1144
The fall lasted from the year 1616 to the year 1617
The fall lasted from the year 1601 to the year 1601
1616
The contract lasted from the year 1217 to the year 1218
The contract lasted from the year 1201 to the year 1201
1217
The effect lasted from the year 1150 to the year 1151
The effect lasted from the year 1101 to the year 1101
1150
The growth lasted from the year 1261 to the year 1262
The growth lasted from the year 1201 to the year 1201
1261
The progress lasted from the year 1770 to the year 1771
The progress lasted from the year 1701 to the year 1701
1770
The quest lasted from the year 1532 to the year 1533
The quest lasted from the year 1501 to the year 1501
1532
The construction lasted from the year 1244 to the year 1245
The construction lasted from the year 1201 to the year 1201
1244
The therapy lasted from the year 1189 to the year 1190
The therapy lasted from the year 1101 to the year 1101
1189
The operation lasted from the year 1384 to the year 1385
The operation lasted from the year 1301 to the year 1301
1384
The practice lasted from the year 1522 to the year 1523
The practice lasted from the year 1501 to the year 1501
1522
The fall lasted from the year 1777 to the year 1778
The fall lasted from the year 1701 to the year 1701
1777
The contact lasted from the year 1465 to the year 1466
The contact lasted from the year 1401 to the year 1401
1465
The tests lasted from the year 1652 to the year 1653
The tests lasted from the year 1601 to the year 1601
1652
The contract lasted from the year 1734 to the year 1735
The contract lasted from the year 1701 to the year 1701
1734
The deal lasted from the year 1341 to the year 1342
The deal lasted from the year 1301 to the year 1301
1341
The riot lasted from the year 1131 to the year 1132
The riot lasted from the year 1101 to the year 1101
1131
The attack lasted from the year 1454 to the year 1455
The attack lasted from the year 1401 to the year 1401
1454
The coma lasted from the year 1454 to the year 1455
The coma lasted from the year 1401 to the year 1401
1454
The therapy lasted from the year 1408 to the year 149
The therapy lasted from the year 1401 to the year 1401
1408
The rule lasted from the year 1350 to the year 1351
The rule lasted from the year 1301 to the year 1301
1350
The evaluation lasted from the year 1239 to the year 1240
The evaluation lasted from the year 1201 to the year 1201
1239
The challenge lasted from the year 1389 to the year 1390
The challenge lasted from the year 1301 to the year 1301
1389
The assessment lasted from the year 1755 to the year 1756
The assessment lasted from the year 1701 to the year 1701
1755
The therapy lasted from the year 1342 to the year 1343
The therapy lasted from the year 1301 to the year 1301
1342
The contract lasted from the year 1172 to the year 1173
The contract lasted from the year 1101 to the year 1101
1172
The construction lasted from the year 1730 to the year 1731
The construction lasted from the year 1701 to the year 1701
1730
The operation lasted from the year 1465 to the year 1466
The operation lasted from the year 1401 to the year 1401
1465
The practice lasted from the year 1391 to the year 1392
The practice lasted from the year 1301 to the year 1301
1391
The riot lasted from the year 1680 to the year 1681
The riot lasted from the year 1601 to the year 1601
1680
The development lasted from the year 1342 to the year 1343
The development lasted from the year 1301 to the year 1301
1342
The testing lasted from the year 1423 to the year 1424
The testing lasted from the year 1401 to the year 1401
1423
The case lasted from the year 1639 to the year 1640
The case lasted from the year 1601 to the year 1601
1639
The existence lasted from the year 1376 to the year 1377
The existence lasted from the year 1301 to the year 1301
1376
The operation lasted from the year 1704 to the year 175
The operation lasted from the year 1701 to the year 1701
1704
The construction lasted from the year 1603 to the year 164
The construction lasted from the year 1601 to the year 1601
1603
The therapy lasted from the year 1730 to the year 1731
The therapy lasted from the year 1701 to the year 1701
1730
The effect lasted from the year 1181 to the year 1182
The effect lasted from the year 1101 to the year 1101
1181
The tour lasted from the year 1405 to the year 146
The tour lasted from the year 1401 to the year 1401
1405
The evaluation lasted from the year 1657 to the year 1658
The evaluation lasted from the year 1601 to the year 1601
1657
The tests lasted from the year 1678 to the year 1679
The tests lasted from the year 1601 to the year 1601
1678
The effect lasted from the year 1271 to the year 1272
The effect lasted from the year 1201 to the year 1201
1271
The construction lasted from the year 1775 to the year 1776
The construction lasted from the year 1701 to the year 1701
1775
The relationship lasted from the year 1476 to the year 1477
The relationship lasted from the year 1401 to the year 1401
1476
The assessment lasted from the year 1537 to the year 1538
The assessment lasted from the year 1501 to the year 1501
1537

Dataset Card for Dataset Name

This is a dataset with examples from the Greater-Than circuit task.

Dataset Details

Dataset Description

  • Curated by: Michael Hanna
  • Language(s) (NLP): English
  • License: MIT

Dataset Sources

Uses

This dataset is intended to be a model-agnostic version of the greater-than task. The original task consisted of examples like The war lasted from the year 1742 to the year 17, based on the fact that GPT-2 small tokenizes 4-digit years into two, two-digit tokens. One would then compute model performance as the probability assigned to years greater than 42, minus that assigned to years less-than or equal to 42.

New models now tokenize years differently; Llama tokenizes 1742 as [174][2], and Gemma 2 tokenizes it as [1][7][4][2]. You can still compute the probability assigned to good and bad decades; for example:

  • For Llama 3, if the token at position [174] is y1, and the token at [2] is y1, you want to compute p(y1>174) + p(y1=174)* p(y2>2) - (p(y1<174) + p(y1=174)* p(y2<=2))
  • For Gemma 2, if the token at position [4] is y1, and the token at [2] is y1, you want to compute p(y1>4) + p(y1=4)* p(y2>2) - (p(y1<4) + p(y1=4)* p(y2<=2))

For these purposes, it's easier to have the full string, i.e. The war lasted from the year 1742 to the year 1743, rather than the shortened version The war lasted from the year 1742 to the year 17.

Dataset Structure

clean: The original greater-than example sentences

corrupted: The corrupted version of the corresponding sentence in clean, with the start-year decade set to 01.

year: The start year from the corresponding sentence in clean.

Dataset Creation

Source Data

As described in the paper, this dataset was automatically created, using the template The [event] lasted from the year [XX][YY] to the year [XX]. Michael Hanna and Ollie Liu developed the list of nouns used as [event].

Citation [optional]

How does GPT-2 compute greater-than?: Interpreting mathematical abilities in a pre-trained language model

BibTeX:

@inproceedings{
hanna2023how,
title={How does {GPT}-2 compute greater-than?: Interpreting mathematical abilities in a pre-trained language model},
author={Michael Hanna and Ollie Liu and Alexandre Variengien},
booktitle={Thirty-seventh Conference on Neural Information Processing Systems},
year={2023},
url={https://openreview.net/forum?id=p4PckNQR8k}
}

Dataset Card Authors

Michael Hanna

Dataset Card Contact

[email protected]

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