Essays about: "convolution operator"

Found 4 essays containing the words convolution operator.

  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

  3. 2. Anomalous Behavior Detection in Aircraft based Automatic Dependent Surveillance–Broadcast (ADS-B) system using Deep Graph Convolution and Generative model (GA-GAN)

    University essay from Linköpings universitet/Databas och informationsteknik

    Author : Jayesh Kenaudekar; [2022]
    Keywords : Intrusion detection aircraft aviation security adsb protocol AI deep learning machine learning graph generative model surveillance broadcast;

    Abstract : The Automatic Dependent Surveillance-Broadcast (ADS-B) is a key component of the Next Generation Air Transportation System (Next Gen) that manages the increasingly congested airspace and operation. From Jan 2020, the U.S. Federal Aviation Administration (FAA) mandated the use of (ADS-B) as a key component of Next Gen project. READ MORE

  4. 3. Tracking Under Countermeasures Using Infrared Imagery

    University essay from Linköpings universitet/Datorseende

    Author : Sara Modorato; [2022]
    Keywords : computer vision; infrared imagery; tracking; countermeasures; discriminative correlation filters; Efficient Convolution Operator tracker; Spatial-Temporal Regularized Correlation Filter tracker; Visual Object Tracking; flare; DIRCM; multiple wavelength bands; features;

    Abstract : Object tracking can be done in numerous ways, where the goal is to track a target through all frames in a sequence. The ground truth bounding box is used to initialize the object tracking algorithm. Object tracking can be carried out on infrared imagery suitable for military applications to execute tracking even without illumination. READ MORE

  5. 4. The derivation of first- and second-order backpropagation methods for fully-connected and convolutional neural networks

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematikcentrum

    Author : Simon Sjögren; [2021]
    Keywords : Mathematics and Statistics;

    Abstract : We introduce rigorous theory for deriving first and second order backpropagation methods for Deep Neural Networks (DNN) whilst satisfying existing theory in DNN optimization. We begin by formally defining a neural network with its respective components and state the first and second order chain rule with respect to its partial derivatives. READ MORE