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ISOMAP.pdf

Jun 02, 2018

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    some r c e

    e

    COMP61021 Modelling and Vis

    ure app ng

    en

    ualization of High Dimensional Data

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    n ro uc on

    -

    Exam les

    Case Study: PCA vs. L

    Relevant Issues

    Conclusions

    COMP61021 Modelling and Visu

    A

    lization of High Dimensional Data2

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    COMP61021 Modelling and Visu lization of High Dimensional Data3

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    A state-of-the-art non-linear

    In ISOMAP, a geodesic dista

    Useful for recovering a low d

    COMP61021 Modelling and Visu

    MDS method for modelling manifold

    ce metric is employed.

    imensional isometric embedding

    lization of High Dimensional Data4

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    MDS slides

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    ijkstras lgorithm

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    Ex

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    Ex

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    Ex

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    in a low dimensional space via

    shortest path and c) construct l

    ISOMAP can fail in its two main

    Geodesic Approximation Points need to be sampled uni

    The intrinsic parameter space

    MDS

    There might not exist an isom

    Suffer from a high computation

    There are several extensions to

    COMP61021 Modelling and Visu

    inimum distortion embedding.

    ,w-dimensional embedding.

    steps:

    ormly (densely) from a noiseless manifold.

    must be convex.

    tric embedding (or anything close to one)

    l cost and sensitive to noise.

    overcome those problems.

    lization of High Dimensional Data20