The space complexity of approximating the frequency moments
Journal of Computer and System Sciences
Finding Frequent Items in Data Streams
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
IEEE Transactions on Mobile Computing
An improved data stream summary: the count-min sketch and its applications
Journal of Algorithms
Data streams: algorithms and applications
Foundations and Trends® in Theoretical Computer Science
Explicit constructions for compressed sensing of sparse signals
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Generalized framework for selectors with applications in optimal group testing
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
Combinatorial algorithms for compressed sensing
SIROCCO'06 Proceedings of the 13th international conference on Structural Information and Communication Complexity
Counting distinct items over update streams
ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
Almost optimal explicit selectors
FCT'05 Proceedings of the 15th international conference on Fundamentals of Computation Theory
Set reconciliation with nearly optimal communication complexity
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
WADS'07 Proceedings of the 10th international conference on Algorithms and Data Structures
CR-PRECIS: a deterministic summary structure for update data streams
ESCAPE'07 Proceedings of the First international conference on Combinatorics, Algorithms, Probabilistic and Experimental Methodologies
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A k-set structure is a sub-linear space data structure that supports multi-set insertion and deletion operations and returns the multi-set, provided the number of distinct items with non-zero frequency does not exceed k. This is a fundamental problem with applications in data streaming [S. Muthukrishnan, Data streams: Algorithms and applications, Foundations and Trends in Theoretical Computer Science 1 (2) (2005)], distributed systems [Y. Minsky, A. Trachtenberg, R. Zippel, Set Reconciliation with Nearly Optimal Communication Complexity, IEEE Trans. Inform. Theory 49 (9) (2003) 2213-2218; D. Starobinski, A. Trachtenberg, S. Agarwal, Efficient PDA synchronization, IEEE Trans. on Mob. Comp. 2 (1) (2003) 40-51], etc. In this paper, we present the design of a deterministic k-set structure.