Essays about: "Laplace s approximation"

Found 3 essays containing the words Laplace s approximation.

  1. 1. An operator theoretic approach to the Riemann Hypothesis

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Ramon Arjan van de Scheur; [2023]
    Keywords : Riemann hypothesis; Prime number theorem; Prime number theorem for arithmetic progressions; operator theoretic equivalent; compact operator; prime-counting function; Chebyshev function; Laplace transform; Fourier transform; convolution operator; weak topology; strong topology; compact perturbation; Tauberian theorem; Poisson kernel; holomorphic; self-adjoint; spectrum; trace; Mathematics and Statistics;

    Abstract : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. READ MORE

  2. 2. Solving an inverse problem for an elliptic equation using a Fourier-sine series.

    University essay from Linköpings universitet/Matematiska institutionen

    Author : Olivia Linder; [2019]
    Keywords : Regularization; ill-posed problem; Fourier-sine series; Regularisering; illaställt problem; Fouriersinusserie;

    Abstract : This work is about solving an inverse problem for an elliptic equation. An inverse problem is often ill-posed, which means that a small measurement error in data can yield a vigorously perturbed solution. Regularization is a way to make an ill-posed problem well-posed and thus solvable. READ MORE

  3. 3. Predicting Bankruptcy Risk: A Gaussian Process Classifciation Model

    University essay from Linköpings universitet/Institutionen för datavetenskap

    Author : Mohammed Nazib Seidu; [2015]
    Keywords : ;

    Abstract : This thesis develops a Gaussian processes model for bankruptcy risk classification and prediction in a Bayesian framework. Gaussian processes and linear logistic models are discriminative methods used for classification and prediction purposes. READ MORE