58 search results - page 1 / 12 » Optimal space lower bounds for all frequency moments |
SODA
2004
ACM
14 years 6 days ago
2004
ACM
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
STOC
2005
ACM
14 years 11 months ago
2005
ACM
We give a 1-pass ~O(m1-2/k )-space algorithm for computing the k-th frequency moment of a data stream for any real k > 2. Together with the lower bounds of [1, 2, 4], this reso...
CORR
2010
Springer
13 years 8 months ago
2010
Springer
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
COCO
2003
Springer
14 years 4 months ago
2003
Springer
We study the communication complexity of the set disjointness problem in the general multi-party model. For t players, each holding a subset of a universe of size n, we establish ...
ICALP
2009
Springer
14 years 11 months ago
2009
Springer
Estimating frequency moments and Lp distances are well studied problems in the adversarial data stream model and tight space bounds are known for these two problems. There has been...