Sökning: "equivariant"

Visar resultat 1 - 5 av 15 avhandlingar innehållade ordet equivariant.

1. 1. 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

3. 2. Cohomology of arrangements and moduli spaces

   Författare :Olof Bergvall; Carel Faber; Jonas Bergström; Orsola Tommasi; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; moduli spaces; cohomology; toric arrangements; equivariant; point counts; finite fields; mixed Hodge structures; Mathematics; matematik;

   Sammanfattning : This thesis mainly concerns the cohomology of the moduli spaces ℳ3[2] and ℳ3,1[2] of genus 3 curves with level 2 structure without respectively with a marked point and some of their natural subspaces. A genus 3 curve which is not hyperelliptic can be realized as a plane quartic and the moduli spaces ?[2] and ?1[2] of plane quartics without respectively with a marked point are given special attention. LÄS MER

4. 3. Supersymmetric Localization : A Journey from Seven to Three Dimensions

   Författare :Konstantina Polydorou; Guido Festuccia; Elli Pomoni; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Supersymmetry; Localization; Equivariant Cohomology; BPS Operators; Topological Field Theory; Equivariant Twisting; Theoretical Physics; Teoretisk fysik;

   Sammanfattning : Quantum Field Theory has been a dominating framework in elementary particle physics during the last century. Within this framework, supersymmetric theories have attracted a lot of attention due to their mathematical structure, simplicity and insight into the problems of unification, dark matter and hierarchy. LÄS MER

5. 4. 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

7. 5. Equivariant Neural Networks for Biomedical Image Analysis

   Författare :Karl Bengtsson Bernander; Ingela Nyström; Michal Kozubek; Uppsala universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Computerized Image Processing; Datoriserad bildbehandling;

   Sammanfattning : While artificial intelligence and deep learning have revolutionized many fields in the last decade, one of the key drivers has been access to data. This is especially true in biomedical image analysis where expert annotated data is hard to come by. LÄS MER