Essays about: "Variational problem"

Showing result 1 - 5 of 37 essays containing the words Variational problem.

1. 1. Modulating Depth Map Features to Estimate 3D Human Pose via Multi-Task Variational Autoencoders

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

   Author : Kobe Moerman; [2023]
   Keywords : 3D pose estimation; Joint landmarks; Variational autoencoder; Multi-task model; Loss discrimination; Latent-space modulation; Depth map; 3D-positionsuppskattning; Gemensamma landmärken; Variationell autoencoder; Multitask-modell; Förlustdiskriminering; Latent-space-modulering; Djupkarta;

   Abstract : Human pose estimation (HPE) constitutes a fundamental problem within the domain of computer vision, finding applications in diverse fields like motion analysis and human-computer interaction. This paper introduces innovative methodologies aimed at enhancing the accuracy and robustness of 3D joint estimation. READ MORE

3. 2. Symmetry in a free boundary problem

   University essay from KTH/Matematik (Avd.)

   Author : Seuri Basilio Kuosmanen; [2023]
   Keywords : Analysis of PDEs; Bernoulli-type boundary condition; free boundary problem; Laplacian operator; method of moving planes; symmetry; Analys av PDEs; Bernoulli-typ randvärde; frirandsproblem; Laplaceoperatorn; moving-plane metoden; symmetri;

   Abstract : We consider a variational formulation of a Bernoulli-type free boundary problem for the Laplacian operator with discontinuous boundary data. We show the existence of a weak solution to the problem. Moreover, we show that the solution has symmetry properties inherited by symmetric data. READ MORE

4. 3. Fracture simulation with a hyperelastic phase field model

   University essay from KTH/Hållfasthetslära

   Author : Adrien Fradet; [2023]
   Keywords : Fracture; Phase field modeling; Hyperelasticity; Brott; fasfält-methoden; hyperelasticite;

   Abstract : The phase field method is a versatile tool to study crack initiation and propagation in systems with complex geometries. Based on a variational formulation of the equilibrium equations, the sharp crack topology is regularized by a crack with diffusive edges and the damage is described by a continuous phase field variable. READ MORE

5. 4. Solving Partial Differential Equations With Neural Networks

   University essay from Uppsala universitet/Matematiska institutionen

   Author : Håkan Karlsson Faronius; [2023]
   Keywords : Partial differential equations; neural networks; physics-informed neural networks; deep ritz method; fourier neural operator; importance sampling; inverse problems;

   Abstract : In this thesis three different approaches for solving partial differential equa-tions with neural networks will be explored; namely Physics-Informed NeuralNetworks, Fourier Neural Operators and the Deep Ritz method. Physics-Informed Neural Networks and the Deep Ritz Method are unsupervised machine learning methods, while the Fourier Neural Operator is a supervised method. READ MORE

6. 5. Sign of the Times : Unmasking Deep Learning for Time Series Anomaly Detection

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

   Author : Daniel Richards Ravi Arputharaj; [2023]
   Keywords : Anomaly detection; multivariate time series data; deep learning models; model complexity; resource-constrained systems; Variational Autoencoders VAEs ; Convolutional Variational Autoencoders; evaluation metrics in time series; Anomalidetektering; Multivariata tidsseriedata; Djupinlärningsmodeller; Modellkomplexitet; Resursbegränsade system; Variational Autoencoders VAEs ; Konvolutionella Variational Autoencoders; Utvärderingsmått inom tidsserier;

   Abstract : Time series anomaly detection has been a longstanding area of research with applications across various domains. In recent years, there has been a surge of interest in applying deep learning models to this problem domain. READ MORE