Essays about: "Nonlinear dimensionality reduction"

Found 4 essays containing the words Nonlinear dimensionality reduction.

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

3. 2. The effects of data compression on the decoding of neuronal activity during handwriting with a comparison between linear and nonlinear models

   University essay from KTH/Datavetenskap

   Author : William Bigert; Marcus Friberg; [2022]
   Keywords : ;

   Abstract : Brain computer interfaces (BCI) play a key role in enabling individuals who are suffering from the dreaded locked-in syndrome or severe forms of paralysis to communicate with the world around them. A state of the art BCI was developed by Willet et al. READ MORE

4. 3. 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

5. 4. A Study of Isomap Extensions and Topological Data Analysis with Applications to Financial Data

   University essay from KTH/Matematik (Avd.)

   Author : Daniel Nyman; [2019]
   Keywords : ;

   Abstract : This thesis focuses mainly on nonlinear dimensionality reduction. A comparison of a number of different extensions of the Isomap-algorithm found in the literature is presented as well as an introduction to the underlying theory. Further, two novel extensions of the algorithm are introduced. READ MORE