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  1. 1. 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

  3. 2. Inverse problems in signal processing : Functional optimization, parameter estimation and machine learning

    Författare :Pol del Aguila Pla; Joakim Jaldén; Yonina C. Eldar; KTH; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; inverse problems; signal processing; machine learning; biomedical imaging; optimization; proximal optimization; regularization; mathematical modeling; identifiability; likelihood; logconcavity; immunoassays; convolutional coding; functional analysis; abstract inference; learned iterations; unrolled algorithms; Electrical Engineering; Elektro- och systemteknik;

    Sammanfattning : Inverse problems arise in any scientific endeavor. Indeed, it is seldom the case that our senses or basic instruments, i.e., the data, provide the answer we seek. LÄS MER

  4. 3. Statistical Methods in Portfolio Theory

    Författare :Stanislas Muhinyuza; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis we develop new statistical theory and apply it to practical problems dealing with mean-variance optimal portfolio selection. More precisely, we derive an exact statistical test for the characterization of the location of the tangency portfolio (TP) on the efficient frontier. LÄS MER

  5. 4. Markov Chains, Renewal, Branching and Coalescent Processes : Four Topics in Probability Theory

    Författare :Andreas Nordvall Lagerås; Thomas Höglund; Ingemar Kaj; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; Matematisk statistik; matematisk statistik; Mathematical Statistics;

    Sammanfattning : This thesis consists of four papers.In paper 1, we prove central limit theorems for Markov chains under (local) contraction conditions. As a corollary we obtain a central limit theorem for Markov chains associated with iterated function systems with contractive maps and place-dependent Dini-continuous probabilities. LÄS MER

  7. 5. Inverse factorization in electronic structure theory : Analysis and parallelization

    Författare :Anton G. Artemov; Emanuel H. Rubensson; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : This licentiate thesis is a part of an effort to run large electronic structure calculations in modern computational environments with distributed memory. The ultimate goal is to model materials consisting of millions of atoms at the level of quantum mechanics. LÄS MER