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mwhanna
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greater-than

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train · 10k rows

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

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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

Repository: https://github.com/hannamw/gpt2-greater-than
Paper: How does GPT-2 compute greater-than?: Interpreting mathematical abilities in a pre-trained language model

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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Size of the auto-converted Parquet files:

205 kB

Number of rows:

10,000