TL;DR
This paper introduces mnesor theory, an AI adaptation of vectors using a lattice instead of a scalar field, enabling a linear calculus framework with idempotent addition and selection-based multiplication.
Contribution
It presents the foundational concepts of mnesor theory, adapting vector operations to a lattice structure for AI applications and establishing a linear calculus based on this framework.
Findings
Mnesors replace vectors with lattice-based elements.
Addition in mnesors is idempotent.
Multiplication is interpreted as a selection operation.
Abstract
The mnesor theory is the adaptation of vectors to artificial intelligence. The scalar field is replaced by a lattice. Addition becomes idempotent and multiplication is interpreted as a selection operation. We also show that mnesors can be the foundation for a linear calculus.
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Taxonomy
TopicsComputability, Logic, AI Algorithms