Nonlinear Dimensionality Reduction - Methods Based On Proximity Matrices

Methods Based On Proximity Matrices

A method based on proximity matrices is one where the data is presented to the algorithm in the form of a similarity matrix or a distance matrix. These methods all fall under the broader class of metric multidimensional scaling. The variations tend to be differences in how the proximity data is computed; for example, Isomap, locally linear embeddings, maximum variance unfolding, and Sammon mapping (which is not in fact a mapping) are examples of metric multidimensional scaling methods.

Read more about this topic:  Nonlinear Dimensionality Reduction

Famous quotes containing the words methods, based and/or proximity:

    I believe in women; and in their right to their own best possibilities in every department of life. I believe that the methods of dress practiced among women are a marked hindrance to the realization of these possibilities, and should be scorned or persuaded out of society.
    Elizabeth Stuart Phelps (1844–1911)

    Foster the labor of our country by an undeviating metallic currency ... always recollecting that if labor is depressed neither commerce nor manufactures can flourish, as they are both based upon the production of labor, produced from the earth, or the mineral world.
    Andrew Jackson (1767–1845)

    The triumphs of peace have been in some proximity to war. Whilst the hand was still familiar with the sword-hilt, whilst the habits of the camp were still visible in the port and complexion of the gentleman, his intellectual power culminated; the compression and tension of these stern conditions is a training for the finest and softest arts, and can rarely be compensated in tranquil times, except by some analogous vigor drawn from occupations as hardy as war.
    Ralph Waldo Emerson (1803–1882)