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» On the distribution of the number of monotone Boolean functi...
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NA
2008
103views more  NA 2008»
13 years 4 months ago
Monotonic sequences related to zeros of Bessel functions
Abstract. In the course of their work on Salem numbers and uniform distribution modulo 1, A. Akiyama and Y. Tanigawa proved some inequalities concerning the values of the Bessel fu...
Lee Lorch, Martin E. Muldoon
ECCC
2011
185views ECommerce» more  ECCC 2011»
12 years 12 months ago
Property Testing Lower Bounds via Communication Complexity
We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for r...
Eric Blais, Joshua Brody, Kevin Matulef
TIT
2008
78views more  TIT 2008»
13 years 4 months ago
Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications
The nonlinearity profile of a Boolean function (i.e. the sequence of its minimum Hamming distances nlr(f) to all functions of degrees at most r, for r 1) is a cryptographic crite...
Claude Carlet
ICALP
2009
Springer
14 years 5 months ago
Functional Monitoring without Monotonicity
The notion of distributed functional monitoring was recently introduced by Cormode, Muthukrishnan and Yi [CMY08] to initiate a formal study of the communication cost of certain fu...
Chrisil Arackaparambil, Joshua Brody, Amit Chakrab...
ECCC
2010
87views more  ECCC 2010»
13 years 2 months ago
Testing monotonicity of distributions over general partial orders
We investigate the number of samples required for testing the monotonicity of a distribution with respect to an arbitrary underlying partially ordered set. Our first result is a n...
Arnab Bhattacharyya, Eldar Fischer, Ronitt Rubinfe...