Jacobian
Overview
Jacob Kaplan-Moss. I’m a software developer, co-creator of Django,and engineering leader. I’m an owner and consultant at REVSYS, and am the Treasurer of the Django Software Foundation. Previous jobs: Latacora, Hangar, 18F, Heroku.
News
Levent Alpoge reportedly posts Jacobian counterexample, credits Claude Fable 5
Anthropic's AI model, Claude Fable 5, helped mathematician Levent Alpöge find a counterexample disproving the 87-year-old Jacobian conjecture in three dimensions.
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LLMs break down in funny ways when told the Jacobian Conjecture counterargument
Cognitohazards can affect machines too.
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The Lost Weekend: Lab Escapes & Jacobian Escapades
How recent breakthroughs reveal the fundamental limits of corralling frontier AI
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A digestion of the Jacobian conjecture counterexample
The notorious Jacobian conjecture can be formulated concretely over the complex numbers as follows. Conjecture 1 (Jacobian Conjecture) Let $latex {F:{bf C}n rightarrow {bf C}n}&fg=000000$ …
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Mathematicians grapple with a 'very rapid and very unsettling change' as AI cracks yet another century-old problem
Anthropic's Levant Alpöge, a former Harvard valedictorian, used Claude's Fable 5 to find something that mathematicians have failed to since 1939.
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Locally everywhere does not imply everywhere
Expanding on the recent counterexample to the Jacobian conjecture.
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Trust Nothing, Verify Everything: reproducing the Jacobian counterexample from my couch
The Jacobian conjecture fell yesterday, during the World Cup final, via a tweet. Wikipedia still says it
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A Reproducible Proof Against the Jacobian Conjecture
reportreport.pdf75 KBdownload-circlereport.pyreport.py.zip1 KBdownload-circleAn exact symbolic check of a proposed polynomial map in three variablesAttribution. The polynomial map and the claimed observation discussed here are credited to Levent Alpoge, b
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