Sökning: "Topological Data Analysis"

Visar resultat 1 - 5 av 30 avhandlingar innehållade orden Topological Data Analysis.

  1. 1. Topological and Scaling Analysis of Geospatial Big Data

    Författare :Ding Ma; Bin Jiang; Shaowen Wang; Högskolan i Gävle; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Third definition of fractal; scaling; topology; power law; head tail breaks; ht-index; complex network; geospatial big data; natural cities; natural streets; Hållbar stadsutveckling; Sustainable Urban Development;

    Sammanfattning : Geographic information science and systems face challenges related to understanding the instinctive heterogeneity of geographic space, since conventional geospatial analysis is mainly founded on Euclidean geometry and Gaussian statistics. This thesis adopts a new paradigm, based on fractal geometry and Paretian statistics for geospatial analysis. LÄS MER

  3. 2. 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

  4. 3. Topological and geometrical methods in data analysis

    Författare :Oliver Gäfvert; Sandra di Rocco; Henry Schenck; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; multiparameter persistent homology; computational algebraic geometry; algorithms; complexity; Mathematics; Matematik;

    Sammanfattning : This thesis concerns two related data analysis pipelines, using topological and geometrical methods respectively, to extract relevant information. The first pipeline, referred to as the topological data analysis (TDA) pipeline, constructs a filtered simplicial complex on a given data set in order to describe its shape. LÄS MER

  5. 4. Computational Modelling and Topological Analysis of the striatal microcircuitry in health and Parkinson's disease

    Författare :Ilaria Carannante; Jeanette Hellgren Kotaleski; Alexander Kozlov; Sean Hill; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Datalogi; Computer Science;

    Sammanfattning : The basal ganglia are evolutionary conserved nuclei located at the base of the forebrain. They are a central hub in the control of motion and their dysfunctions lead to a variety of movement related disorders, including Parkinson's disease (PD).The largest nucleus and main input stage of the basal ganglia is the striatum. LÄS MER

  7. 5. In silico analysis of microbial communities through constraint-based metabolic modelling

    Författare :Parizad Babaei; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; fermented food production; metagenomics; genome-scale metabolic model; community modelling; malnourishment; Microbial community; systems biology; lactic acid bacteria; gut microbiota; uniform randomised sampling;

    Sammanfattning : Microbial communities are involved in many vital biological processes from elemental cycles to sustaining human health. The bacterial assemblages are remarkably under-studied as they are reluctant to grow in the laboratory conditions. LÄS MER