#categorytheory search results
AI と数学の境界で使う道具として、 CST（観測の圏構造）を置いています。 Object: (X, π, k, v) Morphisms f: π'∘f=π k'∘f=k v'∘f=v Fluctuation: T:CST→Vect f↦Df Singularity: ∇k(σ)=0 意味付けは固定していません。 必要な文脈でどうぞ。 #AIMath #categorytheory #math
As a tool at the AI–math boundary, I use CST (Categorical Structure of Observation). Object: (X, π, k, v) Morphisms f: π'∘f=π k'∘f=k v'∘f=v Fluctuation: T:CST→Vect f↦Df Singularity: ∇k(σ)=0 No fixed interpretation. Use where useful. #AIMath #categorytheory #math
観測者構造を扱う圏 CST を定義した。 対象： (X, π, k, v) 射 f は π'∘f = π k'∘f = k v'∘f = v を満たす構造保存写像。 揺らぎ：T:CST→Vect（Df） 特異点 σ：∇k(σ)=0 #数学 #圏論 #categoryTheory
CST (Categorical Structure of Observation) Objects: (X, π, k, v) X: topological space/manifold π: X→S k: X→ℝ v: X→Y Morphisms f preserve structure: π'∘f=π, k'∘f=k, v'∘f=v Fluctuations: T:CST→Vect via Df Singular points σ: ∇k(σ)=0 #categoryTheory #math
I don’t want #categorytheory unless Cat is #isomorphic to 🐈⬛ 🙃
New chapter on #categorytheoryillustrated Natural transformations! #mathematics #categorytheory #haskell
Is there any similar framework in category theory? #CategoryTheory #Cybernetics #Optimization #DynamicalSystems #AI #ML
(Open Access) Category Theory for Programmers: freecomputerbooks.com/Category-Theor… Look for "Read and Download Links" section to download. Follow me if you like this post. #CategoryTheory #Programmers #programming #Algorithms #DataStructures
How to get quickest return on AI . (1/x) If you’re on a board, you’re looking for real-world payback on your investment in generative AI and LLMs. Rushing into the game with LLMs just counting on them to get better is not the biz solution you need. #HybridAI #CategoryTheory
This full-color Diagrammatic Algebra is a perfect book for me, who loves diagrams, category theory, and braids. It deserves to be bound in a nice fabric cloth hardcover. #diagrams #algebra #categorytheory #braids
Lol `quads` "Check out this amazing photo of a category diagram that shows how RDF quads and comonads are related. It's a beautiful and elegant way of representing information and context in RDF data. #RDF #CategoryTheory #Comonads"
🎥Taking #CategoryTheory personally with Brandon Baylor. How #relational #mathematics help us understand our personal and professional lives. #Video dropping today. #Podcast on all platforms next week. #yoneda #mind #loveandphilosophy #holon #navigability #andreahiott #categories
Computational Category Theory - freecomputerbooks.com/Computational-… An implementation of concepts and constructions from category theory in the functional programming language Standard ML. #CategoryTheory #FunctionalProgramming #StandardML #mathematics #programming #ComputerScience
Category Theory for Programmers - freecomputerbooks.com/Category-Theor… illustrates all major concepts of Category Theory using computer code in functional languages. #CategoryTheory #FunctionalProgramming #Programmers #programming #Mathematics
Topology Without Tears: freecomputerbooks.com/Topology-Witho… Look for "Read and Download Links" section to download. Follow/Connect me if you like this post. #Topology #CategoryTheory #Geometry #math #mathematics #Mathematician
I wish this attitude were more widespread in #mathematics; I would have gone a lot further in my understanding if it had been. But it's never too late! Learning #CategoryTheory from this amazing book by @DrEugeniaCheng g.co/kgs/KGR33P
(Open Access) Topology: A Categorical Approach - freecomputerbooks.com/Topology-A-Cat… Look for "Read and Download Links" section to download. Follow/Connect me if you like this post. #Topology #CategoryTheory #Geometry #math #mathematics #Mathematician
/\ /\ /\ F. William Lawvere /\ /\ /\ @maanow @PawanKalyan @JanaSenaParty @JSPVeeraMahila @Nature @ScienceMagazine @PNASNews @aaas @NSF #math #categorytheory #naturality #functor #category #cohesion #change #variation #unity #CT2023 #FWilliamLawvere youtu.be/x23KS3VOpRg
💻Computation & Mathematics Theme at the Interdisciplinary Summer School 2023 #CategoryTheory #TypeTheory #SoftwareDesign #NetworkTheory #Compositionality 📌In-person places still available! Secure your spot in Valencia here: semf.org.es/school2023/
The Dao of FP: a journey of mastery in programming through category theory and Eastern philosophy. Discover the harmony and balance between data types, functions, and opposites. #programming #categorytheory #DAO github.com/BartoszMilewsk… @BartoszMilewski :)
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