Sökning: "Topologisk dataanalys"

Visar resultat 1 - 5 av 13 uppsatser innehållade orden Topologisk dataanalys.

1. 1. Topological regularization and relative latent representations

   Master-uppsats, KTH/Skolan för elektroteknik och datavetenskap (EECS)

   Författare :Alejandro García Castellanos; [2023]
   Nyckelord :Algebraic Topology; Large Language Models; Relative Representation; Representation Learning; Model Stitching; Topological DataAnalysis; Zero-shot; Algebraisk topologi; Stora språkmodeller; Relativ representation; Representationsinlärning; Modell sömmar; Topologisk dataanalys; Zero-shot;

   Sammanfattning : This Master's Thesis delves into the application of topological regularization techniques and relative latent representations within the realm of zero-shot model stitching. Building upon the prior work of Moschella et al. LÄS MER

3. 2. Unauthorised Session Detection with RNN-LSTM Models and Topological Data Analysis

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Nazar Maksymchuk Netterström; [2023]
   Nyckelord :Recurrent Neural Network; Long-Short-Term-Memory; Topological Data Analysis; Session based data; Anomaly detection; Time-series analysis; Imbalanced data; Master thesis; Neurala nätverk; Topologisk data analys; Detektion av avvikelse; Sessionsbaserad data; Tidserieanalys; Inbalancerad data; Masteruppsats;

   Sammanfattning : This thesis explores the possibility of using session-based customers data from Svenska Handelsbanken AB to detect fraudulent sessions. Tools within Topological Data Analysis are employed to analyse customers behavior and examine topological properties such as homology and stable rank at the individual level. LÄS MER

4. 3. Properties of Discrete Laplacians With Application on Brain Networks

   Master-uppsats, KTH/Matematisk statistik

   Författare :David Thinsz; [2022]
   Nyckelord :Graph Laplacian; Combinatorial Laplacian; Persistent Laplacian; Topological data analysis; Spectral theory; Homology; Clustering.; Graf-Laplacian; Kombinatorisk Laplacian; Beständig Laplacian; Topologisk dataanalys; Spektralteori; Homologi; Klustring.;

   Sammanfattning : This thesis investigates three discrete Laplace operators: the graph Laplacian, combinatorial Laplacian, and the more recently introduced persistent Laplacian. We discuss how these operators relate to each other and study their spectral properties. The graph Laplacian is a well-studied operator that plays a central role in spectral graph theory. LÄS MER

5. 4. Metrics for Multidimensional Persistence

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Daniel Lundin; [2022]
   Nyckelord :topological data analysis; multidimensional persistence; persistence modules; metrics; noise systems; topologisk dataanalys; multidimensionell persistens; persistensmoduler; metriker; noise system;

   Sammanfattning : A fundamental mathematical object in topological data analysis today is the persistence module. This thesis explores different metrics on multidimensional persistence modules, where spaces are parametrized along multiple dimensions. The focus is especially on metrics constructed by the use of so called noise systems, introduced by Scolamiero et al. LÄS MER

7. 5. Traffic Prediction From Temporal Graphs Using Representation Learning

   Master-uppsats, KTH/Matematisk statistik

   Författare :Andreas Movin; [2021]
   Nyckelord :Dynamic time warping DTW ; embedding; graph convolutional networks GCN ; graph neural networks GNN ; persistent homology; spectral graph theory; temporal graphs; topological data analysis TDA ; Dynamisk time warping DTW ; inbäddning; convolutional grafnätverk GCN ; neurala grafnätverk GNN ; persistent homologi; spektral graf teori; dynamisk graf; topologisk dataanalys TDA ;

   Sammanfattning : With the arrival of 5G networks, telecommunication systems are becoming more intelligent, integrated, and broadly used. This thesis focuses on predicting the upcoming traffic to efficiently promote resource allocation, guarantee stability and reliability of the network. LÄS MER