Mathematical methods for artificial intelligence and autonomous systems
Mathematical methods for artificial intelligence and autonomous systems
Mental images and the architecture of concepts
A half-century survey on The Universal Turing Machine
Unified theories of cognition
Category theory for computing science
Category theory for computing science
Basic category theory for computer scientists
Basic category theory for computer scientists
Categories, types, and structures: an introduction to category theory for the working computer scientist
Categories and computer science
Categories and computer science
AI Magazine
Mathematical methods in artificial intelligence
Mathematical methods in artificial intelligence
From environments to representations—a mathematical theory of artificial perceptions
Artificial Intelligence
Algorithm synthesis through problem reformulation
Algorithm synthesis through problem reformulation
Perceive this as that – Analogies, artificial perception, and category theory
Annals of Mathematics and Artificial Intelligence
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Perception is the recognition of elements and events in the environment, usually through integration of sensory impressions. It is considered here as a broad, high‐level, concept (different from the sense in which computer vision/audio research takes the concept of perception). We propose and develop premises for a formal approach to a fundamental phenomenon in AI: the diversity of artificial perceptions. A mathematical substratum is proposed as a basis for a rigorous theory of artificial perceptions. A basic mathematical category is defined. Its objects are perceptions, consisting of world elements, connotations, and a three‐valued (true, false, undefined) predicative correspondence between them. Morphisms describe paths between perceptions. This structure serves as a basis for a mathematical theory. This theory provides a way of extending and systematizing certain intuitive pre‐theoretical conceptions about perception, about improving and/or completing an agent’s perceptual grasp, about transition between various perceptions, etc. Some example applications of the theory are analyzed.