Essays about: "Positive matrices"

Showing result 1 - 5 of 14 essays containing the words Positive matrices.

  1. 1. Estimating Diffusion Tensor Distributions With Neural Networks

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Rimaz Nismi; [2024]
    Keywords : Diffusion; Magnetic Resonance Imaging; MRI; Neural Networks; Optimal transport; Earth mover s distance; Sinkhorn distance;

    Abstract : Magnetic Resonance Imaging (MRI) is an essential healthcare technology, with diffusion MRI being a specialized technique. Diffusion MRI exploits the inherent diffusion of water molecules within the human body to produce a high-resolution tissue image. An MRI image contains information about a 3D volume in space, composed of 3D units called voxels. READ MORE

  2. 2. Perron-Frobenius' Theory and Applications

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Karl Eriksson; [2023]
    Keywords : Positive matrices; nonnegative matrices; Perron-Frobenius; linear dynamical systems; Leslie matrices; Markov chain; Google s PageRank algorithm; Positiva matriser; icke-negativa matriser; Perron-Frobenius; linjära dynamiska system; Leslie matris; Markov-kedja; Google s PageRank algoritm;

    Abstract : This is a literature study, in linear algebra, about positive and nonnegative matrices and their special properties. We say that a matrix or a vector is positive/nonnegative if all of its entries are positive/nonnegative. First, we study some generalities and become acquainted with two types of nonnegative matrices; irreducible and reducible. READ MORE

  3. 3. Optimization over nonnegative matrix polynomials

    University essay from Linköpings universitet/Institutionen för systemteknik

    Author : Daniel Cederberg; [2023]
    Keywords : Proximal methods; nonnegative polynomials; Bregman proximal operator; Itakura-Saito distance; spectral estimation; functional connectivity analysis.;

    Abstract : This thesis is concerned with convex optimization problems over matrix polynomials that are constrained to be positive semidefinite on the unit circle. Problems of this form appear in signal processing and can often be solved as semidefinite programs (SDPs). READ MORE

  4. 4. Impact of the autoencoder-based FINTA tractogram filtering method on brain networks in subjects with Mild Cognitive Impairment

    University essay from KTH/Skolan för kemi, bioteknologi och hälsa (CBH)

    Author : Teodor Pstrusiński; [2023]
    Keywords : Tractography; Autoencoder; diffusion MRI; Filtering; Graph; Connectome; Traktografi; Autoencoder; diffusions MRT; Filtrering; Graf; Konnektom;

    Abstract : Diffusion Magnetic Resonance Imaging (dMRI) is a method for measuring molecular diffusion in biological tissue microstructure. This information can be used to predict the location and orientation of white matter fibers in the brain, a process known as tractography. READ MORE

  5. 5. Deep Learning Models for Detecting Breast Cancer : A Comparative Study

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

    Author : Charlotta Johnsson; Alva Välimäki; [2023]
    Keywords : ;

    Abstract : Breast cancer is the second leading cause of death for women worldwide. As early detection is vital, new methods for facilitating accurate diagnosis are continuously being developed. READ MORE