Sökning: "induced representations"

Visar resultat 1 - 5 av 24 avhandlingar innehållade orden induced representations.

  1. 1. Irreducible Representations of Quantum Affine Algebras

    Författare :Jesper Thorén; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Number Theory; Matematik; Mathematics; quantum evaluation modules; highest weight representations; quantum Yang-Baxter equation; quantum affine algebras; quantum groups; comultiplication; Hopf algebras; affine Lie algebras; field theory; algebraic geometry; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

    Sammanfattning : We construct finite-dimensional representations of the quantum affine algebra associated to the simple finite-dimensional Lie algebra sl(n+1). The module structure is defined on the vector space tensor product of the fundamental representations of the quantum affine algebra. LÄS MER

  3. 2. G-equivariant convolutional neural networks

    Författare :Jimmy Aronsson; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; deep learning; induced representations; homogeneous vector bundles; convolutional neural networks; homogeneous spaces; symmetry;

    Sammanfattning : Over the past decade, deep learning has revolutionized industry and academic research. Neural networks have been used to solve a multitude of previously unsolved problems and to significantly improve the state-of-the-art on other tasks, in some cases reaching superhuman levels of performance. LÄS MER

  4. 3. Mathematical Foundations of Equivariant Neural Networks

    Författare :Jimmy Aronsson; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; symmetry; geometric deep learning; gauge theory; induced representations; fiber bundles; convolutional neural networks; equivariance;

    Sammanfattning : Deep learning has revolutionized industry and academic research. Over the past decade, neural networks have been used to solve a multitude of previously unsolved problems and to significantly improve the state of the art on other tasks. However, training a neural network typically requires large amounts of data and computational resources. LÄS MER

  5. 4. New perspectives on cognitive dissonance theory

    Författare :Sebastian Cancino Montecinos; Torun Lindholm; Fredrik Björklund; Roland Deutsch; Stockholms universitet; []
    Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Cognitive dissonance theory; Attitude change; Dissonance reduction; Emotion regulation; Mental representations; Psychology; psykologi;

    Sammanfattning : Cognitive consistency is generally considered a fundamental aspect of the human mind, and cognitive dissonance theory is the most famous and studies theory within this framework. Dissonance theory holds that when related cognitions are in conflict (e.g. when behaving counter to one’s attitudes), people will experience negative affect. LÄS MER

  7. 5. Tame representations in Topological Data Analysis: decompositions, invariants and metrics

    Författare :Francesca Tombari; Wojciech Chachólski; Patrizio Frosini; Peter Bubenik; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; topological data analysis; tameness; decompositions; invariants; metrics; Matematik; Mathematics;

    Sammanfattning : This thesis is a compilation of results that can be framed within the field of applied topology. The starting point of our study is objects presenting a possibly complex intrinsic geometry. The main goal is then to simplify, without trivializing, the geometric information characterising these objects by choosing an appropriate representation. LÄS MER