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The Architecture of Thought: How Algebraic Topology and High-Dimensional Geometry Could Transform AI

The Architecture of Thought: How Algebraic Topology and High-Dimensional Geometry Could Transform AI

Paperback

Series: Physical and Cognitive Reality, Book 2

General ComputersGeneral MathematicsGeometry

ISBN13: 9798190285765
Publisher: Independently Published
Published: Aug 2 2026
Pages: 104
Weight: 0.33
Height: 0.22 Width: 6.00 Depth: 9.00
Language: English
The brain doesn't think in straight lines. It thinks in shapes.

The human brain performs an astonishing amount of computation using roughly the power of a light bulb. Modern AI, by contrast, increasingly depends on enormous amounts of data, energy, and computing power. What if part of the difference lies in the hidden mathematical architecture of the brain itself?

In The Architecture of Thought, Kok Soong Yang explores a fascinating emerging connection between neuroscience, algebraic topology, and artificial intelligence.

Recent neuroscience research suggests that neurons organize into higher-order structures-mathematical objects called simplices and simplicial complexes-that can assemble and dissolve dynamically. These structures can create topological cavities, patterns of organization that ordinary network models may fail to capture.

This book explains these ideas without assuming a background in advanced mathematics. With clear illustrations, visual explanations, real-world analogies, and mathematical intuition, it turns one of the most technical frontiers of brain science into an accessible journey of discovery.

### You will discover

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General Computers