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AI Trajectories (May 2026)

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 Silicon Empires On the Future of AI Evolution Trajectories through 2023 Business Trajectories AI AI trajectories describe both the developmental pathways of artificial intelligence (technology, compute scaling) and the internal decision-making sequences of AI agents . Understanding these paths is critical for forecasting how rapid automation, tool use, and machine reasoning will impact enterprise, policy, and daily productivity. [ 1 , 2 , 3 ] Macro-Level AI Trajectories The broad evolution of artificial intelligence is shifting from static, rule-based systems toward dynamic and autonomous capabilities. [ 1 , 2 ] Generative & Agentic AI: Moving from static text and image generation toward multi-step, action-oriented systems that utilize tools, access files, and make independent decisions. Domain-Specific Superintelligence (DSS): A paradigm shift proposing smaller, highly specialized models built on structured symbolic abstractions (e.g., knowledge graphs) rather than vast, en...

An AI Solution to the Unit Distance Problem Conjecture

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Latent Space arxiv: Remarks  

Universal Prediction

Universal Approximation Universal Prediction Universal Prediction Universal Prediction Universal Prediction

Math Capabilities of LLMs

Math Capabilities of LLMs

Bod Mellor

Bod Mellor Bod Mellor

Christoph Benzmüller

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Christoph Benzmüller Bibliography On Gödel's Ontological Proof The Inconsistency in Godel’s Ontological Argument: A Success Story for AI in Metaphysics GitHub

A Scientific Theory of Deep Learning

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A Theory of Deep Learning A Scientific Theory of Deep Learning Physics of Deep Learning ~***~ Mechanistic Interpretability Circuit Interpretability Representation Engineering ~***~ ~***~

Manifold Diffusion Geometry

Manifold Diffusion Geometry Manifold Diffusion Geometry Manifold Diffusion Geometry

AI on Overdecoration

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AI   Overdecoration is the excessive use of items, colors, or patterns in a space or on an object, resulting in a cluttered, distracting, or uncomfortable environment . It often occurs when trying to make a space look more attractive, but instead creates a "hodgepodge" that lacks curation, often leading to overstimulation or a lack of functional space. [ 1 , 2 , 3 ] Key Characteristics and Usage Examples Residential Interiors: Filling rooms with too many sentimental items or following trends too closely, leading to a "showroom" look rather than a curated one. "Clutter Catchers": Surfaces like shelves, mantels, and entryways filled with too many trinkets, creating a jumble. Excessive Layering: Too many patterns, fabrics, or accessories, creating a "busy" or "fussy" appearance. Over-the-top Cakes/Trees: Decorating a cake or holiday tree with so many decorations that the original object is hidden. [ 1 , 2 , 3 , 4 , 5 ] Common Synonym...