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» Lower Bounds Using Kolmogorov Complexity
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COMPGEOM
2000
ACM
14 years 2 months ago
A trace bound for the hereditary discrepancy
Let A be the incidence matrix of a set system with m sets and n points, m ≤ n, and let t = tr M, where M = AT A. Finally, let σ = tr M2 be the sum of squares of the elements of ...
Bernard Chazelle, Alexey Lvov
ICALP
2005
Springer
14 years 3 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak
ITA
2000
13 years 9 months ago
Construction of very hard functions for multiparty communication complexity
We consider the multiparty communication model de ned in 4] using the formalism from 8]. First, we correct an inaccuracy in the proof of the fundamental result of 6] providing a lo...
Ján Manuch
IJCNN
2000
IEEE
14 years 2 months ago
VC Dimension Bounds for Product Unit Networks
A product unit is a formal neuron that multiplies its input values instead of summingthem. Furthermore, it has weights acting as exponents instead of being factors. We investigate...
Michael Schmitt
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 7 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