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Vector Representation of Data in High-Dimensional Space

How an item such as a word, document, or image is encoded as an ordered n-tuple of real-valued components in a high-dimensional Euclidean space, where each coordinate is one dimension of the representation and position encodes meaning.

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Representing Functions in High-Dimensional Vector Spaces using Dirac Delta Functions

Every discrete image or continuous function is formally defined as a point within a high-dimensional vector space where each axis corresponds to a specific basis element (pixel for finite grids, Dira…