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<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine · HackerPapers discussions</title><link>https://hackerpaper.kaipfister.de/p/2012.00152/</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/2012.00152/feed.xml" rel="self" type="application/rss+xml" /><item><title>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — HN submission</title><link>https://news.ycombinator.com/item?id=44703689</link><guid isPermaLink="false">urn:hackerpapers:submission:2012.00152:44703689</guid><pubDate>Sun, 27 Jul 2025 19:04:23 GMT</pubDate><description>&lt;p&gt;Every Model Learned by Gradient Descent Is Approximately a Kernel Machine&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;4 points; 0 discussion replies on HN. &lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by babel_</title><link>https://news.ycombinator.com/item?id=39851558</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:39851558</guid><pubDate>Thu, 28 Mar 2024 13:59:52 GMT</pubDate><description>&lt;p&gt;So, from the perspective I have within the subfield I work in, explainable AI (XAI), we&amp;#x27;re seeing a bunch of fascinating developments. First, as you mentioned, Rudin continues to prove that the reason for using AI/ML is that we don&amp;#x27;t understand the problem well enough; otherwise we wouldn&amp;#x27;t even think to use it! So, pushing our focus to better understand the problem, and then levy ML concepts and techniques (including &amp;quot;classical AI&amp;quot; and statistical learning), we&amp;#x27;re able to make something that not only outperforms some state-of-the-art in most metrics, but often even is much less resource…&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — HN submission</title><link>https://news.ycombinator.com/item?id=39496747</link><guid isPermaLink="false">urn:hackerpapers:submission:2012.00152:39496747</guid><pubDate>Sun, 25 Feb 2024 01:25:02 GMT</pubDate><description>&lt;p&gt;Every model learned by gradient descent is approximately a kernel machine (2020)&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;176 points; 136 discussion replies on HN. &lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by RamblingCTO</title><link>https://news.ycombinator.com/item?id=38181468</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:38181468</guid><pubDate>Tue, 07 Nov 2023 19:18:44 GMT</pubDate><description>&lt;p&gt;*approximately https://arxiv.org/abs/2012.00152&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by Joschkabraun</title><link>https://news.ycombinator.com/item?id=38048666</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:38048666</guid><pubDate>Sat, 28 Oct 2023 10:30:38 GMT</pubDate><description>&lt;p&gt;Reminds me of &amp;quot;Every Model Learned by Gradient Descent Is Approximately a Kernel Machine&amp;quot; by Pedro Domingos: https://arxiv.org/abs/2012.00152&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by visarga</title><link>https://news.ycombinator.com/item?id=37078736</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:37078736</guid><pubDate>Thu, 10 Aug 2023 17:04:41 GMT</pubDate><description>&lt;p&gt;&amp;gt; Statistical learning can typically be phrased in terms of k nearest neighbours We have suspected that neural nets are a kind of kNN. Here&amp;#x27;s a paper: Every Model Learned by Gradient Descent Is Approximately a Kernel Machine https://arxiv.org/abs/2012.00152&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — HN submission</title><link>https://news.ycombinator.com/item?id=34323369</link><guid isPermaLink="false">urn:hackerpapers:submission:2012.00152:34323369</guid><pubDate>Tue, 10 Jan 2023 11:47:05 GMT</pubDate><description>&lt;p&gt;Every Model Learned By Gradient Descent Is Approximately A Kernel Machine (2020)&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;2 points; 0 discussion replies on HN. &lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by visarga</title><link>https://news.ycombinator.com/item?id=32961367</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:32961367</guid><pubDate>Sat, 24 Sep 2022 10:53:01 GMT</pubDate><description>&lt;p&gt;Reminds me of Pedro Domingos&amp;#x27;s paper - Every Model Learned by Gradient Descent Is Approximately a Kernel Machine https://arxiv.org/abs/2012.00152&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by FeepingCreature</title><link>https://news.ycombinator.com/item?id=30928256</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:30928256</guid><pubDate>Wed, 06 Apr 2022 03:46:10 GMT</pubDate><description>&lt;p&gt;&amp;gt; All GD learners are interpolators (cf. https://arxiv.org/abs/2012.00152) , If the paper is substantially correct I concede the point. But what I&amp;#x27;ve read of reactions leads me to believe the conclusion is overstated. Regarding compression vs intelligence, I already believe that intelligence, even human intelligence, is largely a matter of compressing data. Regarding &amp;quot;knowledge is deterministic&amp;quot;, ignoring the fact that it&amp;#x27;s not even deterministic in humans, so long as GPT can instantiate agents I consider the question of whether it &amp;quot;is&amp;quot; an agent academic. If GPT can operate over W_m and H_n…&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by mjburgess</title><link>https://news.ycombinator.com/item?id=30919075</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:30919075</guid><pubDate>Tue, 05 Apr 2022 14:01:24 GMT</pubDate><description>&lt;p&gt;All GD learners are interpolators (cf. https://arxiv.org/abs/2012.00152) we also know theyre exponential in parameter count ( cf. https://www.researchgate.net/figure/Number-of-parameters-ie-... ) &amp;gt; If GPT is not exponential, then the m/p distinction falls apart. Yes, I think if you have a system which implements QAWH with a similar compelxity to a known intelligent system -- at that point I have no empirical issues. I think, at that point, you have a workiung system. We then ask if it is thinking about anything, and I think that&amp;#x27;d be an open question as to how its implemented. I dont think…&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by YeGoblynQueenne</title><link>https://news.ycombinator.com/item?id=30629781</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:30629781</guid><pubDate>Thu, 10 Mar 2022 17:37:39 GMT</pubDate><description>&lt;p&gt;Sorry, my fault: I don&amp;#x27;t mean that PAC-Learnability means that neural nets memorise their training instances. That&amp;#x27;s more my interpretation of their observed behaviour, if you like. What I meant was that PAC-Learnability doesn&amp;#x27;t assume any ability like reasoning, and really no other ability than er, PAC-Learnability. There&amp;#x27;s a debate, of course. I like to point to Domingos&amp;#x27; paper: Every Model Learned by Gradient Descent Is Approximately a Kernel Machine https://arxiv.org/abs/2012.00152 With the full understanding that it&amp;#x27;s just one paper.&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by homerowilson</title><link>https://news.ycombinator.com/item?id=28839529</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:28839529</guid><pubDate>Tue, 12 Oct 2021 13:42:26 GMT</pubDate><description>&lt;p&gt;A nice, short, recent paper along these lines (not mentioned in the article) is &amp;quot;Every Model Learned by Gradient Descent Is Approximately a Kernel Machine&amp;quot;: https://arxiv.org/abs/2012.00152&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — mentioned by antipaul</title><link>https://news.ycombinator.com/item?id=25553651</link><guid isPermaLink="false">urn:hackerpapers:mention:2012.00152:25553651</guid><pubDate>Sun, 27 Dec 2020 19:41:11 GMT</pubDate><description>&lt;p&gt;Thanks for the reference. Here it is: “We show, however, that deep networks learned by the standard gradient descent algorithm are in fact mathematically approximately equivalent to kernel machines, a learning method that simply memorizes the data and uses it directly for prediction via a similarity function (the kernel)“ https://arxiv.org/abs/2012.00152&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — HN submission</title><link>https://news.ycombinator.com/item?id=25314830</link><guid isPermaLink="false">urn:hackerpapers:submission:2012.00152:25314830</guid><pubDate>Sat, 05 Dec 2020 14:40:31 GMT</pubDate><description>&lt;p&gt;Every Model Learned by Gradient Descent Is Approximately a Kernel Machine&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;406 points; 107 discussion replies on HN. &lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — HN submission</title><link>https://news.ycombinator.com/item?id=25301800</link><guid isPermaLink="false">urn:hackerpapers:submission:2012.00152:25301800</guid><pubDate>Fri, 04 Dec 2020 13:05:25 GMT</pubDate><description>&lt;p&gt;Deep learning networks are approximately kernel machines&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;2 points; 1 discussion reply on HN. &lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>Every Model Learned by Gradient Descent Is Approximately a Kernel Machine — HN submission</title><link>https://news.ycombinator.com/item?id=25283853</link><guid isPermaLink="false">urn:hackerpapers:submission:2012.00152:25283853</guid><pubDate>Thu, 03 Dec 2020 00:44:57 GMT</pubDate><description>&lt;p&gt;Every Model Learned by Gradient Descent Is Approximately a Kernel Machine&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;4 points; 0 discussion replies on HN. &lt;a href="https://hackerpaper.kaipfister.de/p/2012.00152/"&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>
