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Mathematical Theory of the Transformer: Foundations, Rationality, and the Incremental Transformer

Mathematical Theory of the Transformer: Foundations, Rationality, and the Incremental Transformer

Hardcover

Series: Chapman & Hall/CRC Mathematics and Artificial Intelligence

General ComputersGeneral Mathematics

PREORDER - Expected ship date March 5, 2027

ISBN10: 1041473974
ISBN13: 9781041473978
Publisher: CRC Press
Published: Mar 5 2027
Pages: 840
Language: English

The Transformer has reshaped machine learning, yet its now-canonical architecture was assembled empirically rather than derived from first principles. Its components--content-based attention, residual connections, layer normalisation, positional signals, and feed-forward networks--were justified by benchmark performance, not by a theory of why the whole should work. This book provides that missing theory, developing a mathematical account in which architectural choices cease to be independent hyperparameters and become derived objects tied to a small number of geometric and dynamical quantities that can be measured, diagnosed, and controlled.

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General Mathematics