純粋・応用数学・数学隣接分野(含むガロア理論)21 (320レス)
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リロード規制です。10分ほどで解除するので、他のブラウザへ避難してください。
286: 現代数学の系譜 雑談 ◆yH25M02vWFhP 09/11(木)13:48 ID:6CLM1l4J(1) AAS
Ivan Fesenko さん 下記
”From two Grothendieck’s math legacies to quantum computing and deep neural networks, talk July 2024”
で、なんか ちょっと フカシていると思ったところ
referencesで
”・Laurent Lafforgue, Grothendieck’s topos as mathematics for a Future AI: Illustration by the Problem of Image Representation, talk at Centre Lagrange, October 2023
・Laurent Lafforgue, Some sketches for a topos-theoretic AI, talk at Math and Machine learning colloquium series, Barcelona, February 2024”
があがっていたので、ビツクリしました ;p)

(参考)
https://ivanfesenko.org/?page_id=80
Ivan Fesenko
https://ivanfesenko.org/wp-content/uploads/sl24.pdf
From two Grothendieck’s math legacies to quantum computing and deep neural networks, talk July 2024

Summary
Two areas initiated by A. Grothendieck: topos theory and anabelian geometry, seem to remain relatively unknown to AI scientists and quantum computing experts. There is a potential for the use of some concepts and visions of these math areas in quantum computing, and for understanding of deep neural networks and AI systems.

Some references in public access
・Olivia Caramello, Syntactic learning via topos theory, talk, New AI theory workshop, November 2023
・Laurent Lafforgue, Grothendieck’s topos as mathematics for a Future AI: Illustration by the Problem of Image Representation, talk at Centre Lagrange, October 2023
・Laurent Lafforgue, Some sketches for a topos-theoretic AI, talk at Math and Machine learning colloquium series, Barcelona, February 2024
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