Essays about: "Topological Data Analysis"

Showing result 1 - 5 of 30 essays containing the words Topological Data Analysis.

  1. 1. Towards topology-aware Variational Auto-Encoders : from InvMap-VAE to Witness Simplicial VAE

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

    Author : Aniss Aiman Medbouhi; [2022]
    Keywords : Variational Auto-Encoder; Nonlinear dimensionality reduction; Generative model; Inverse projection; Computational topology; Algorithmic topology; Topological Data Analysis; Data visualisation; Unsupervised representation learning; Topological machine learning; Betti number; Simplicial complex; Witness complex; Simplicial map; Simplicial regularization.; Variations autokodare; Ickelinjär dimensionalitetsreducering; Generativ modell; Invers projektion; Beräkningstopologi; Algoritmisk topologi; Topologisk Data Analys; Datavisualisering; Oövervakat representationsinlärning; Topologisk maskininlärning; Betti-nummer; Simplicielt komplex; Vittneskomplex; Simpliciel avbildning; Simpliciel regularisering.;

    Abstract : Variational Auto-Encoders (VAEs) are one of the most famous deep generative models. After showing that standard VAEs may not preserve the topology, that is the shape of the data, between the input and the latent space, we tried to modify them so that the topology is preserved. READ MORE

  2. 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

  3. 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

  4. 4. Application of HEC-HMS modelling on River Storån,Model evaluation and analysis of the processes by using soil moisture accounting loss method

    University essay from Lunds universitet/Avdelningen för Teknisk vattenresurslära

    Author : Pooja Makki Vijayaprakash; [2021]
    Keywords : River Storån; HEC-HMS; SMA; streamflow; baseflow; evapotranspiration; Technology and Engineering;

    Abstract : River Storån, a major tributary of Lake Bolmen which is a source of fresh water to Skåne county of Sweden is found to alter the color of water in the lake due to the presence of natural organic matter. Hence it is of utmost importance to study the river to understand the dynamics of generation and flow of water from the river to the lake. READ MORE

  5. 5. From Relations to Simplicial Complexes: A Toolkit for the Topological Analysis of Networks

    University essay from KTH/Matematik (Avd.)

    Author : Johan Lord; [2021]
    Keywords : applied algebraic topology; complex networks; topological data analysis; brain network analysis;

    Abstract : We present a rigorous yet accessible introduction to structures on finite sets foundational for a formal study of complex networks. This includes a thorough treatment of binary relations, distance spaces, their properties and similarities. READ MORE