Essays about: "topologisk data-analys"

Showing result 1 - 5 of 6 essays containing the words topologisk data-analys.

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

   University essay from KTH/Matematik (Avd.)

   Author : Nazar Maksymchuk Netterström; [2023]
   Keywords : 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;

   Abstract : 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. READ MORE

3. 2. Exploring persistent homology as a method for capturing functional connectivity differences in Parkinson’s Disease.

   University essay from KTH/Matematik (Avd.)

   Author : Naomi Hulst; [2022]
   Keywords : persistent homology; topological data analysis; computational topology; parkinson s disease; parkinson; functional connectivity; stable rank; ihållande homologi; topologisk data analys; beräknings topologi; Parkinsons sjukdom; parkinson; funktionell konnektivitet; stable ranks;

   Abstract : Parkinson’s Disease (PD) is the fastest growing neurodegenerative disease, currently affecting two to three percent of the population over 65. Studying functional connectivity (FC) in PD patients may provide new insights into how the disease alters brain organization in different subjects. READ MORE

4. 3. 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

5. 4. 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

6. 5. A study and further development of nonlinear unsupervised methods : With applications to financial data

   University essay from KTH/Matematisk statistik

   Author : Henning Rydström; [2019]
   Keywords : ;

   Abstract : The main focus for this thesis is nonlinear dimensionality reduction. When analysing data of high dimension it is often vital to find a lower dimension representation of the data, while preserving as much information as possible. Dimension reduction is therefore used in many fields of science and in many industries. READ MORE