Sökning: "convolution operator"

Hittade 5 uppsatser innehållade orden convolution operator.

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

   Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

   Författare :Ramon Arjan van de Scheur; [2023]
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

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

   Magister-uppsats, Linköpings universitet/Databas och informationsteknik

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

   Sammanfattning : 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. LÄS MER

4. 3. Tracking Under Countermeasures Using Infrared Imagery

   Master-uppsats, Linköpings universitet/Datorseende

   Författare :Sara Modorato; [2022]
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

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

   Master-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematikcentrum

   Författare :Simon Sjögren; [2021]
   Nyckelord :Mathematics and Statistics;

   Sammanfattning : 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. LÄS MER

7. 5. Spektralmetoder för linjära elliptiska partiella differentialekvationer i fri rymd

   Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

   Författare :Christina Ghawi; Ariel Abedali; [2019]
   Nyckelord :;

   Sammanfattning : Syftet med den här studien är att lösa linjära elliptiska partiella differentialek- vationer i fri rymd och att uppnå spektralkonvergenta numeriska lösningar, för glatta och kompakt stödda inhomogeniteter i två och tre dimensioner. Detta utförs genom att använda teori om Greenfunktioner och göra en om- skrivning av differentialoperatorns Greenfunktion i fri rymd till en trunkerad spektralrepresentation, genom att nyttja inhomogenitetens kompakta stöd; därefter, genom att använda resultat från Fourieranalysen och egenskaper av faltning, beräknas lösningen med hjälp av en snabb Fouriertransform. LÄS MER