Essays about: "convex analysis"

Showing result 1 - 5 of 34 essays containing the words convex analysis.

  1. 1. Optimizing First-Order Method Parameters via Differentiation of the Performance Estimation Problem

    University essay from Lunds universitet/Institutionen för reglerteknik

    Author : Anton Åkerman; [2023]
    Keywords : Technology and Engineering;

    Abstract : This thesis treats the problem of finding optimal parameters for first-order optimization methods. In part, we use the Performance Estimation Problem (PEP), a framework for convergence analysis of first-order optimization methods. READ MORE

  3. 2. 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

  4. 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

  5. 4. FEM Analysis of paperboard packaging

    University essay from KTH/Hållfasthetslära

    Author : Wen-Che Li; [2022]
    Keywords : ;

    Abstract : The work aims to provide a finite element model using Ansys Workbench for realistically simulating paperboard packages. The geometrical properties of a package and the loading conditions were altered to investigate their influence on the box behavior and the applicability of Ansys as the finite element solver for paperboard material. READ MORE

  6. 5. Far-field pattern synthesis of transmitarray antennas using convex optimization techniques

    University essay from KTH/Tillämpad fysik

    Author : Marie Defives; [2022]
    Keywords : Applied physics; Transmitarray antennas; convex optimization; Tillämpad fysik; Transmitarray-antenner; konvex optimering;

    Abstract : Transmitarrays antennas (TAs) can be seen as the planar counterpart of optical lenses. They are composed of thin radiating elements (unit cells) which introduce different local phase shifts on an incident electromagnetic wave, emitted by a primary source, and re-radiate it. READ MORE