Random-walk pairing between similar images improves VICReg's generalization and global semantic structure, and a new dendrogram-based metric measures this without labels.
The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles
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abstract
We prove that, for the edge ideal of a graph whose cycles are pairwise vertex-disjoint, the arithmetical rank is bounded above by the sum of the number of cycles and the maximum height of its associated primes.
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Enhancing VICReg: Random-Walk Pairing for Improved Generalization and Better Global Semantics Capturing
Random-walk pairing between similar images improves VICReg's generalization and global semantic structure, and a new dendrogram-based metric measures this without labels.