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SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 2 months ago
On the Exact Space Complexity of Sketching and Streaming Small Norms
We settle the 1-pass space complexity of (1 ? )approximating the Lp norm, for real p with 1 p 2, of a length-n vector updated in a length-m stream with updates to its coordinate...
Daniel M. Kane, Jelani Nelson, David P. Woodruff
FOCS
2009
IEEE
14 years 2 days ago
The Data Stream Space Complexity of Cascaded Norms
Abstract— We consider the problem of estimating cascaded aggregates over a matrix presented as a sequence of updates in a data stream. A cascaded aggregate P ◦Q is defined by ...
T. S. Jayram, David P. Woodruff
FOCS
2000
IEEE
13 years 9 months ago
Stable Distributions, Pseudorandom Generators, Embeddings and Data Stream Computation
In this article, we show several results obtained by combining the use of stable distributions with pseudorandom generators for bounded space. In particular: —We show that, for a...
Piotr Indyk
SODA
2010
ACM
171views Algorithms» more  SODA 2010»
14 years 2 months ago
Coresets and Sketches for High Dimensional Subspace Approximation Problems
We consider the problem of approximating a set P of n points in Rd by a j-dimensional subspace under the p measure, in which we wish to minimize the sum of p distances from each p...
Dan Feldman, Morteza Monemizadeh, Christian Sohler...
PODS
2005
ACM
211views Database» more  PODS 2005»
14 years 5 months ago
Join-distinct aggregate estimation over update streams
There is growing interest in algorithms for processing and querying continuous data streams (i.e., data that is seen only once in a fixed order) with limited memory resources. Pro...
Sumit Ganguly, Minos N. Garofalakis, Amit Kumar, R...