Practical locally private heavy hitters

Raef Bassily, Kobbi Nissim, Uri Stemmer, Abhradeep Thakurta

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


We present new practical local differentially private heavy hitters algorithms achieving optimal or near-optimal worst-case error and running time - TreeHist and Bitstogram. In both algorithms, server running time is Õ(n) and user running time is Õ(1), hence improving on the prior state-of-the-art result of Bassily and Smith [STOC 2015] requiring O(n5/2) server time and O(n3/2) user time. With a typically large number of participants in local algorithms (n in the millions), this reduction in time complexity, in particular at the user side, is crucial for making locally private heavy hitters algorithms usable in practice. We implemented Algorithm TreeHist to verify our theoretical analysis and compared its performance with the performance of Google's RAPPOR code.

Original languageEnglish
JournalJournal of Machine Learning Research
StatePublished - 1 Feb 2020


  • Differential privacy
  • Heavy hitters
  • Histograms
  • Local differential privacy
  • Sketching

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence
  • Control and Systems Engineering
  • Statistics and Probability


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