Essays about: "Normal Distribution"

Showing result 1 - 5 of 293 essays containing the words Normal Distribution.

  1. 1. Exploring the Impact of Pseudo and Quasi Random Number Generators on Monte Carlo Integration of the Multivariate Normal Distribution

    University essay from Lunds universitet/Statistiska institutionen

    Author : Marcus Stolz; Jonathan Christopher; [2024]
    Keywords : Monte Carlo integration; Quasi monte carlo integration; Random number generation; Mathematics and Statistics;

    Abstract : This thesis examines the effects of pseudo and quasi-random number generators on the accuracy and efficiency of Monte Carlo Integration in the case of the multivariate normal distribution. The study compares the performance of the Mersenne Twister (a pseudo-random number generator) with Sobol and Halton sequences (quasi-random number generators). READ MORE

  3. 2. Geometry of high dimensional Gaussian data

    University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Olof Samuel Mossberg; [2024]
    Keywords : HDLSS; high dimensional data; stochastic boundedness; asymptotic orthogonality; geometry; multivariate normal distribution; HDLSS; högdimensionell data; stokastisk begränsning; asymptotisk ortogonalitet; geometri; multivariat normalfördelning;

    Abstract : Collected data may simultaneously be of low sample size and high dimension. Such data exhibit some geometric regularities consisting of a single observation being a rotation on a sphere, and a pair of observations being orthogonal. This thesis investigates these geometric properties in some detail. READ MORE

  4. 3. Uncertainty Quantification in Deep Learning for Breast Cancer Classification in Point-of-Care Ultrasound Imaging

    University essay from Lunds universitet/Matematik LTH

    Author : Marisa Wodrich; [2024]
    Keywords : Uncertainty quantification; Deep learning; Breast cancer classification; Trustworthy AI; Point-of-care ultrasound; Mathematics and Statistics;

    Abstract : Breast cancer is the most common type of cancer worldwide with an estimate of 2.3 million new cases in 2020, and the number one cause of cancer-related deaths in women. READ MORE

  5. 4. Regularization Methods and High Dimensional Data: A Comparative Study Based on Frequentist and Bayesian Methods

    University essay from Lunds universitet/Statistiska institutionen

    Author : Markus Gerholm; Johan Sörstadius; [2024]
    Keywords : Linear regression; high dimensional data; regularization; Bayesian methods; Mathematics and Statistics;

    Abstract : As the amount of high dimensional data becomes increasingly accessible and common, the need for reliable methods to combat problems such as overfitting and multicollinearity increases. Models need to be able to manage large data sets where predictor variables often outnumber the amount of observations. READ MORE

  6. 5. Classifying femur fractures using federated learning

    University essay from Linköpings universitet/Statistik och maskininlärning

    Author : Hong Zhang; [2024]
    Keywords : Atypical femur fracture; Federated Learning; Neural Network; Classification;

    Abstract : The rarity and subtle radiographic features of atypical femoral fractures (AFF) make it difficult to distinguish radiologically from normal femoral fractures (NFF). Compared with NFF, AFF has subtle radiological features and is associated with the long-term use of bisphosphonates for the treatment of osteoporosis. READ MORE