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second-order similarity
Second-order similarity is a metric in computational linguistics and distributional semantics that measures the degree of similarity between two words or concepts based on the overlap and resemblance of their respective context distributions, rather than direct co-occurrence with one another. While first-order similarity quantifies how frequently two words appear alongside each other to reflect associative or syntagmatic relationships, second-order similarity evaluates paradigmatic relationships by determining how interchangeable two items are across similar environments. Consequently, two terms exhibiting high second-order similarity share similar patterns of association with other words throughout a text corpus and map close to each other in vector spaces or word embedding models, even if they never directly appear together in the same sentence.
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