Sökning: "Computable mathematics"

Visar resultat 1 - 5 av 20 avhandlingar innehållade orden Computable mathematics.

  1. 1. Optimizing Networked Systems and Inverse Optimal Control

    Författare :Han Zhang; Xiaoming Hu; Elias Jarlebring; Yiguang Hong; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Networked systems; energy optimal consensus control; semi-definite programming; distributed optimization; inverse optimal control; Mathematics; Matematik;

    Sammanfattning : This thesis is concerned with the problems of optimizing networked systems, including designing a distributed energy optimal consensus controller for homogeneous networked linear systems, maximizing the algebraic connectivity of a network by projected saddle point dynamics. In addition, the inverse optimal control problems for discrete-time finite time-horizon Linear Quadratic Regulators (LQRs) are considered. LÄS MER

  3. 2. Approximation and Calibration of Stochastic Processes in Finance

    Författare :Jonas Kiessling; Anders Szepessy; Jonathan Goodman; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis is a study of approximation and calibration of stochastic processes with applications in finance. It consists of an introduction and four research papers. The introduction is as an overview of the role of mathematics incertain areas of finance. LÄS MER

  4. 3. Invariants for Multidimensional Persistence

    Författare :Martina Scolamiero; Wojciech Chacholski; Vin de Silva; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computational topology; Matematik; Mathematics;

    Sammanfattning : The amount of data that our digital society collects is unprecedented. This represents a valuable opportunity to improve our quality of life by gaining insights about complex problems related to neuroscience, medicine and biology among others. LÄS MER

  5. 4. Tame representations in Topological Data Analysis: decompositions, invariants and metrics

    Författare :Francesca Tombari; Wojciech Chachólski; Patrizio Frosini; Peter Bubenik; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; topological data analysis; tameness; decompositions; invariants; metrics; Matematik; Mathematics;

    Sammanfattning : This thesis is a compilation of results that can be framed within the field of applied topology. The starting point of our study is objects presenting a possibly complex intrinsic geometry. The main goal is then to simplify, without trivializing, the geometric information characterising these objects by choosing an appropriate representation. LÄS MER

  7. 5. Effective Distribution Theory

    Författare :Fredrik Dahlgren; Viggo Stoltenberg-Hansen; Dag Normann; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Computable mathematics; computable analysis; domain theory; domain representations; distribution theory.; Mathematical logic; Matematisk logik;

    Sammanfattning : In this thesis we introduce and study a notion of effectivity (or computability) for test functions and for distributions. This is done using the theory of effective (Scott-Ershov) domains and effective domain representations. LÄS MER