Before revision: We consider distributed inference using sequentially interactive protocols. We obtain lower bounds on the minimax sample complexity of interactive protocols under local information constraints, a broad family of resource constraints which captures communication constraints , local differential privacy , and noisy binary queries as special cases .
After revision: We study the role of interactivity in distributed statistical inference under information constraints, a broad family of resource constraints which captures communication constraints , local differential privacy , and noisy binary queries as special cases .