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math.PR2026
Dimension Dependent Correlation Gap Bounds under Restricted Independence
Arjun Ramachandra
The pairwise independent correlation gap is the ratio of the maximum expected value of a set function under arbitrary dependence to that under pairwise independence, measuring the…
math.PR2022
Probability bounds for random events under -wise independence
Karthik Natarajan, Arjun Kodagehalli Ramachandra, Colin Tan
A collection of random events is said to be -wise independent if any events among them are mutually independent. We characterise all probability measures with…