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» The Arithmetical Complexity of Dimension and Randomness
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140
Voted
STOC
2006
ACM
244views Algorithms» more  STOC 2006»
15 years 12 months ago
Approximate nearest neighbors and the fast Johnson-Lindenstrauss transform
We introduce a new low-distortion embedding of d 2 into O(log n) p (p = 1, 2), called the Fast-Johnson-LindenstraussTransform. The FJLT is faster than standard random projections ...
Nir Ailon, Bernard Chazelle
ICASSP
2011
IEEE
14 years 3 months ago
Polynomial expansion detector for uniform linear arrays
In this paper, we design a low complexity linear MMSE decoder to recover the signal transmitted by M mobile users to a base station equipped with N receiving antennas, arranged as...
Antonia Maria Masucci, Øyvind Ryan, M&eacut...
86
Voted
COMPGEOM
2000
ACM
15 years 4 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
2009
Springer
15 years 12 months ago
Limits and Applications of Group Algebras for Parameterized Problems
The algebraic framework introduced in [Koutis, Proc. of the 35th ICALP 2008] reduces several combinatorial problems in parameterized complexity to the problem of detecting multili...
Ioannis Koutis, Ryan Williams
STOC
2004
ACM
142views Algorithms» more  STOC 2004»
15 years 12 months ago
Lower bounds for local search by quantum arguments
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Scott Aaronson