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<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Teaching Arithmetic to Small Transformers · HackerPapers discussions</title><link>https://hackerpaper.kaipfister.de/p/2307.03381/</link><description>Collected HN comments and submissions linking this paper.</description><language>en</language><lastBuildDate>Mon, 02 Nov 2026 11:16:22 GMT</lastBuildDate><atom:link href="https://hackerpaper.kaipfister.de/p/2307.03381/feed.xml" rel="self" type="application/rss+xml" /><item><title>Teaching Arithmetic to Small Transformers — mentioned by famouswaffles</title><link>https://news.ycombinator.com/item?id=41703300</link><guid isPermaLink="false">urn:hackerpapers:mention:2307.03381:41703300</guid><pubDate>Mon, 30 Sep 2024 23:47:38 GMT</pubDate><description>&lt;p&gt;&amp;gt; there are some benchmarks which show fundamental inability of LLM perform certain tasks which human can, for example add 100 digits numbers. fundamental inability ? No. Current Sota LLM (4o, claude, gemini) woes with arithmetic is not a transformer weakness never mind a large language modelling one. Those benchmarks show that those particular models have problems with accuracy on that many digits, not that LLMs fundamentally cannot be accurate on that many digits. https://arxiv.org/abs/2405.17399 https://arxiv.org/abs/2307.03381 https://arxiv.org/abs/2310.02989 Ultimately, numbers are…&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2307.03381/"&gt;Paper and discussion history&lt;/a&gt;. A mention is not an endorsement.&lt;/p&gt;</description><category>cs.LG</category></item><item><title>Teaching Arithmetic to Small Transformers — mentioned by gwern</title><link>https://news.ycombinator.com/item?id=40501372</link><guid isPermaLink="false">urn:hackerpapers:mention:2307.03381:40501372</guid><pubDate>Tue, 28 May 2024 15:01:31 GMT</pubDate><description>&lt;p&gt;Yes. This has already been demonstrated by &amp;quot;Teaching Arithmetic to Small Transformers&amp;quot; https://arxiv.org/abs/2307.03381 , I&amp;#x27;m not sure what OP adds except demonstrating that you can do that via the embedding itself rather than the tokenization. &amp;gt; We first demonstrate that conventional training data is not the most effective for arithmetic learning, and simple formatting changes can significantly improve accuracy. This leads to sharp phase transitions as a function of training data scale, which, in some cases, can be explained through connections to low-rank matrix completion. Building on…&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2307.03381/"&gt;Paper and discussion history&lt;/a&gt;. A mention is not an endorsement.&lt;/p&gt;</description><category>cs.LG</category></item><item><title>Teaching Arithmetic to Small Transformers — HN submission</title><link>https://news.ycombinator.com/item?id=36714043</link><guid isPermaLink="false">urn:hackerpapers:submission:2307.03381:36714043</guid><pubDate>Thu, 13 Jul 2023 18:38:44 GMT</pubDate><description>&lt;p&gt;Teaching Arithmetic to Small Transformers&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;3 points; 0 discussion replies on HN. &lt;a href="https://hackerpaper.kaipfister.de/p/2307.03381/"&gt;Paper and source history&lt;/a&gt;. A submission is not an endorsement.&lt;/p&gt;</description><category>cs.LG</category></item><item><title>Teaching Arithmetic to Small Transformers — HN submission</title><link>https://news.ycombinator.com/item?id=36668070</link><guid isPermaLink="false">urn:hackerpapers:submission:2307.03381:36668070</guid><pubDate>Mon, 10 Jul 2023 15:44:29 GMT</pubDate><description>&lt;p&gt;Teaching Arithmetic to Small Transformers&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;3 points; 1 discussion reply on HN. &lt;a href="https://hackerpaper.kaipfister.de/p/2307.03381/"&gt;Paper and source history&lt;/a&gt;. A submission is not an endorsement.&lt;/p&gt;</description><category>cs.LG</category></item></channel></rss>
