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COCO
2008
Springer
72views Algorithms» more  COCO 2008»
14 years 11 months ago
The Sum of d Small-Bias Generators Fools Polynomials of Degree d
We prove that the sum of d small-bias generators L : Fs Fn fools degree-d polynomials in n variables over a field F, for any fixed degree d and field F, including F = F2 = {0, 1}...
Emanuele Viola
FOCS
2008
IEEE
15 years 4 months ago
Kakeya Sets, New Mergers and Old Extractors
A merger is a probabilistic procedure which extracts the randomness out of any (arbitrarily correlated) set of random variables, as long as one of them is uniform. Our main result...
Zeev Dvir, Avi Wigderson
FOCS
2008
IEEE
14 years 9 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan
FOCS
2008
IEEE
15 years 4 months ago
Mixing Time of Exponential Random Graphs
A plethora of random graph models have been developed in recent years to study a range of problems on networks, driven by the wide availability of data from many social, telecommu...
Shankar Bhamidi, Guy Bresler, Allan Sly
82
Voted
FOCS
2008
IEEE
15 years 4 months ago
k-Wise Independent Random Graphs
We study the k-wise independent relaxation of the usual model G(N, p) of random graphs where, as in this model, N labeled vertices are fixed and each edge is drawn with probabili...
Noga Alon, Asaf Nussboim