Essays about: "topological data analysis TDA"

Showing result 1 - 5 of 10 essays containing the words topological data analysis TDA.

  1. 1. Topological regularization and relative latent representations

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Alejandro García Castellanos; [2023]
    Keywords : 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;

    Abstract : 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. READ MORE

  3. 2. Comparison in Barcode and Computing Time for Persistent Homology Applied to a Subset of a Point Cloud

    University essay from

    Author : André Lasses Armatowski; [2022]
    Keywords : ;

    Abstract : At the intersection of topology and computer science lies the field of topological data analysis(TDA). TDA uses the concept of persistence to identify low dimensional topological features of data embedded in high dimensions. READ MORE

  4. 3. Traffic Prediction From Temporal Graphs Using Representation Learning

    University essay from KTH/Matematisk statistik

    Author : Andreas Movin; [2021]
    Keywords : 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 ;

    Abstract : 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. READ MORE

  5. 4. An investigation of average stable ranks : On plane geometric objects and financial transaction data

    University essay from KTH/Matematik (Avd.)

    Author : Linn Odelius; [2020]
    Keywords : Topological data analysis; TDA; Mathematics; Stable rank; Topology; Data analysis; Financial transactions; Topologisk dataanalys; Topologi; TDA; Matematik; Teoretisk Matematik; Dataanalys; Finans; Stabil rang;

    Abstract : This thesis concerns the topological features of plane geometric shapes and financial transaction data. Topological properties of the data such as homology groups and their stable ranks are analysed. READ MORE

  6. 5. Algebraic Simplifications of Metric Information

    University essay from KTH/Matematik (Avd.)

    Author : Klas Erninger; [2020]
    Keywords : Topological data analysis; algebraic topology; Topologisk data analys; algebraisk topologi;

    Abstract : This thesis is about how to interpret metric data with topological tools, such as homology. We show how to go from a metric space to a topological space via Vietoris-Rips complexes. We use the usual approach to Topological Data Analysis (TDA), and transform our metric space into tame parametrised vector spaces. READ MORE