π An Introduction to Multisets
A rigorous and elegant connection between pure mathematics and applied computation, potentially shaping next-generation algorithms for data representation and similarity learning.
Luciano da F. Costaβs paper develops the mathematical foundations of multisets β collections that allow repeated elements β and extends the concept to vectors, matrices, and functions. It defines new operations like complements and generalized inner products and links multisets to fields such as signal processing, pattern recognition, and deep learning for structured data modeling.
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