Due to the effectiveness of using machine learning in physics, it has been
    widely received increased attention in the literature. However, the notion of
    applying physics in machine learning has not been given much awareness to. This
    work is a hybrid of physics and machine learning where concepts of physics are
    used in machine learning. We propose the supervised Gravitational
    Dimensionality Reduction (GDR) algorithm where the data points of every class
    are moved to each other for reduction of intra-class variances and better
    separation of classes. For every data point, the other points are considered to
    be gravitational particles, such as stars, where the point is attracted to the
    points of its class by gravity. The data points are first projected onto a
    spacetime manifold using principal component analysis. We propose two variants
    of GDR — one with the Newtonian gravity and one with the Einstein’s general
    relativity. The former uses Newtonian gravity in a straight line between points
    but the latter moves data points along the geodesics of spacetime manifold. For
    GDR with relativity gravitation, we use both Schwarzschild and Minkowski metric
    tensors to cover both general relativity and special relativity. Our
    simulations show the effectiveness of GDR in discrimination of classes.

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