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Jamieson, A.R., Giger, M.L., Drukker, K., Lui, H., Yuan, Y. and Bhooshan, N. (2010). Exploring Nonlinear Feature Space Dimension Reduction and Data Representation in Breast CADx with Laplacian Eigenmaps and t-SNE. Medical Physics, 37, 339-351.
https://doi.org/10.1118/1.3267037

has been cited by the following article:

• TITLE: Projections between Euclidean Volumes with Information Due to Spontaneous Symmetry Breaking

  AUTHORS: Louis M. Houston

  KEYWORDS: Entropy, Symmetry, Bit, Multi-Dimensional, Cuboid

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.11, November 22, 2023

  ABSTRACT: The goal of our research was to determine a coupling between information theory, geometry and multi-dimensional projections. This was accomplished after preliminary mathematics was presented to determine an alternative method for the illustration of multi-dimensional spaces. That was developed with a unique series that gives structure to integer exponents of power sets. The desired coupling is concisely illustrated in a single figure which includes three cyclic phases that are isomorphic to the three phases of Euclidian, rectangular cuboids. The series enables projections between n- and m-dimensional volumes. The associated figure also illustrates how vertical and/or horizontal symmetry breaking or symmetry emits or absorbs information.