Essays about: "Euclidean"

Showing result 11 - 15 of 101 essays containing the word Euclidean.

  1. 11. Spin Representations, Clifford Algebras and Spinors

    University essay from Uppsala universitet/Matematiska institutionen

    Author : Simon Wogel; [2023]
    Keywords : Algebras; Clifford algebras; Spinors; Representations; Lie algebras; Lie groups; Algebror; Cliffordalgebror; Spinorer; Representationer; Liealgebror; Liegrupper;

    Abstract : We begin by giving some theoretical background to the underlying concepts of spin representations and spinors. This is done from the perspective of Lie groups and Lie algebras. In particular, we discuss the functionality of Clifford algebras in the determination of the double-covering spin groups. READ MORE

  3. 12. Real-Time Continuous Euclidean Distance Fields for Large Indoor Environments

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

    Author : Erik Warberg; [2023]
    Keywords : Room segmentation; Gaussian processes; Euclidean distance fields; mapping; line segment detection; mobile robots; spectral clustering; Rumssegmentering; Gaussiska processer; Euklidiska avståndsfält; kartläggning; detektering av linjesegment; mobila robotar; spektral klustring;

    Abstract : Real-time spatial awareness is essential in areas such as robotics and autonomous navigation. However, as environments expand and become increasingly complex, maintaining both a low computational load and high mapping accuracy remains a significant challenge. READ MORE

  4. 13. Scenario Generation for Stress Testing Using Generative Adversarial Networks : Deep Learning Approach to Generate Extreme but Plausible Scenarios

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Jonas Gustafsson; Conrad Jonsson; [2023]
    Keywords : Machine Learning; Generative Adversarial Network GAN ; Wasserstein Generative Adversarial Network WGAN ; Scenario Generation; Stress Testing; Central Counterparty Clearing;

    Abstract : Central Clearing Counterparties play a crucial role in financial markets, requiring robust risk management practices to ensure operational stability. A growing emphasis on risk analysis and stress testing from regulators has led to the need for sophisticated tools that can model extreme but plausible market scenarios. READ MORE

  5. 14. Learning the shapes of protein pockets

    University essay from Göteborgs universitet/Institutionen för data- och informationsteknik

    Author : Alejandro Corrochano; Yossra Gharbi; [2022-10-14]
    Keywords : Protein; cavity; ligand-binding; 3D-equivariance; shape; latent space; e3nn; Fpocket; sc-PDB;

    Abstract : The comparison of protein pockets plays an important role in drug discovery. Through the identification of binding sites with similar structures, we can assist in finding hits and characterizing the function of proteins. Traditionally, the geometry of cavities has been described with scalar features, which are not fully representative of the shape. READ MORE

  6. 15. An Introduction to Metric Spaces

    University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Author : Samuel Erickson Andersson; David Wiman; [2022]
    Keywords : Analysis; compact; convergence; limit; metric space; sequence; set; topology; Analys; följd; gränsvärde; kompakt; konvergens; metriskt rum; mängd; topologi;

    Abstract : In this thesis we start off by ensuring that the reader is up to speed when it comes to some well known definitions and theorems from real analysis. We then introduce the reader to metric spaces and provide them with some examples such as the real numbers with the Euclidean distance, and compact sets with the Hausdorff distance. READ MORE