Essays about: "Sparse Matrix"

Showing result 1 - 5 of 39 essays containing the words Sparse Matrix.

  1. 1. Gap Probabilities in Random Matrix Ensembles

    University essay from Uppsala universitet/Analys och partiella differentialekvationer

    Author : Oskar Bäcklin; [2023]
    Keywords : gap probability; random matrix;

    Abstract : In this degree project we look at eigenvalue statistics of two randommatrix ensembles, the Gaussian and the circular ensembles. We beginwith their definition and discuss the joint probability distribution of theirentries and eigenvalues. READ MORE

  3. 2. Effects of Varying Precision on a FPGA using the SpMXV problem : A comparative study

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

    Author : Vendela Asplund; Martin Lindefors; [2023]
    Keywords : ;

    Abstract : With Moore’s Law slowing down, designing computer hardware that keeps up with the performance demands is becoming increasingly difficult. An interesting area of research is the Field Programmable Gate Array (FPGA) which is a re-programmable hardware device, and which might not be as dependent on Moore’s Law as other hardware. READ MORE

  4. 3. A Multi-Level Extension of the Hierarchical PCA Framework with Applications to Portfolio Construction with Futures Contracts

    University essay from KTH/Matematisk statistik

    Author : Kajsa Bjelle; [2023]
    Keywords : Portfolio construction; asset allocation; principal component analysis; hierarchical principal component analysis; hierarchical shrinkage; eigenportfolio risk; Portföljkonstruktion; tillgångsallokering; principalkomponentanalys; hierarkisk principalkomponentanalys; hierarkisk krympning; egenportföljrisk;

    Abstract : With an increasingly globalised market and growing asset universe, estimating the market covariance matrix becomes even more challenging. In recent years, there has been an extensive development of methods aimed at mitigating these issues. READ MORE

  5. 4. Minimum Cost Distributed Computing using Sparse Matrix Factorization

    University essay from KTH/Optimeringslära och systemteori

    Author : Seif Hussein; [2023]
    Keywords : Applied mathematics; optimization; convex optimization; matrix factorization; sparse matrix factorization; distributed computing; linearly separable distributed computing; ADMM; alternating direction method of multipliers; tillämpad matematik; optimering; konvex optimering; matrisfaktorisering; gles matrisfaktorisering; distribuerade beräkningar; admm; alternating direction method of multipliers;

    Abstract : Distributed computing is an approach where computationally heavy problems are broken down into more manageable sub-tasks, which can then be distributed across a number of different computers or servers, allowing for increased efficiency through parallelization. This thesis explores an established distributed computing setting, in which the computationally heavy task involves a number of users requesting a linearly separable function to be computed across several servers. READ MORE

  6. 5. 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