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» On the Complexity of Function Learning
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TSMC
1998
108views more  TSMC 1998»
13 years 9 months ago
The measurement of a design structural and functional complexity
— The complexity of a design process or a design artifact substantially influences their performance. When evaluation of terms such as “design complexity” and its “quality...
Dan Braha, Oded Maimon
IPL
2010
82views more  IPL 2010»
13 years 8 months ago
New upper bounds on the Boolean circuit complexity of symmetric functions
In this note, we present improved upper bounds on the circuit complexity of symmetric Boolean functions. In particular, we describe circuits of size 4.5n + o(n) for any symmetric ...
E. Demenkov, Arist Kojevnikov, Alexander S. Kuliko...
DAGSTUHL
2006
13 years 11 months ago
The complexity of Boolean functions from cryptographic viewpoint
Cryptographic Boolean functions must be complex to satisfy Shannon's principle of confusion. But the cryptographic viewpoint on complexity is not the same as in circuit compl...
Claude Carlet
IPL
2000
98views more  IPL 2000»
13 years 9 months ago
Linear complexity of the Naor-Reingold pseudo-random function
We obtain an exponential lower bound on the non-linear complexity of the new pseudo-random function, introduced recently by M. Naor and O. Reingold. This bound is an extension of t...
Igor Shparlinski
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
14 years 3 months ago
Graph Properties and Circular Functions: How Low Can Quantum Query Complexity Go?
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
Xiaoming Sun, Andrew Chi-Chih Yao, Shengyu Zhang