Essays about: "ALGEBRA"

Showing result 16 - 20 of 279 essays containing the word ALGEBRA.

  1. 16. Building a Deep Neural Network From Scratch

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Fredrik Sundström; Samppa Raittila; [2023]
    Keywords : ;

    Abstract : Machine learning is becoming increasingly common in our society and is predictedto have a major impact in the future. Therefore, it would be both interesting and valuable tohave a deep understanding of one of the most used algorithms in machine learning, deepneural network. READ MORE

  3. 17. Tensor rank and support rank in the context of algebraic complexity theory

    University essay from KTH/Matematik (Avd.)

    Author : Pelle Andersson; [2023]
    Keywords : linear algebra; tensor product; tensor rank; matrix multiplication; complexity; linjär algebra; tensorprodukt; tensorrang; matrismultiplikation; komplexitet;

    Abstract : Starting with the work of Volker Strassen, algorithms for matrix multiplication have been developed which are time complexity-wise more efficient than the standard algorithm from the definition of multiplication. The general method of the developments has been viewing the bilinear mapping that matrix multiplication is as a three-dimensional tensor, where there is an exact correspondence between time complexity of the multiplication algorithm and tensor rank. READ MORE

  4. 18. Characterisation of countably infinitely categorical theories

    University essay from Uppsala universitet/Matematiska institutionen

    Author : Edward Karlsson; [2023]
    Keywords : omega-categorical; countably categorical; characterisation; Ryll-Nardzewski; model theory;

    Abstract : This thesis looks at characterising countably infinitely categorical theories. That is theories for which every countably infinite model is isomorphic to every other countably infinite model. READ MORE

  5. 19. Octonion Algebras over Schemes and the Equivalence of Isotopes and Isometric Quadratic Forms

    University essay from Uppsala universitet/Matematiska institutionen

    Author : Victor Hildebrandsson; [2023]
    Keywords : Algebraic geometry; octonion algebras;

    Abstract : Octonion algebras are certain algebras with a multiplicative quadratic form. In 2019, Alsaody and Gille showed that, for octonion algebras over unital commutative rings, there is an equivalence between isotopes and isometric quadratic forms. READ MORE

  6. 20. Braids and configuration spaces

    University essay from Uppsala universitet/Geometri och fysik

    Author : Andersson Rasmus; [2023]
    Keywords : braids; braid groups; configuration space; algebraic topology; group theory; fundamental group; covering spaces;

    Abstract : A configuration space is a space whose points represent the possible states of a given physical system. As such they appear naturally both in theoretical physics and technical applications. READ MORE