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: We give a simple proof of the OSSS inequality (O'Donnell, Saks, Schramm, Servedio, FOCS 2005). The inequality states that for any decision tree T calculating a Boolean funct...
Computational protein design can be formulated as an optimization problem, where the objective is to identify the sequence of amino acids that minimizes the energy of a given prot...
Noah Ollikainen, Ellen Sentovich, Carlos Coelho, A...
The generation of a set of rules underlying a classification problem is performed by applying a new algorithm, called Hamming Clustering (HC). It reconstructs the and-or expressio...
We consider the problem of dualizing a Boolean function f given by CNF, i.e., computing a CNF for its dual fd . While this problem is not solvable in quasi-polynomial total time i...
We consider boolean functions over n variables. Any such function can be represented (and computed) by a complete binary tree with and or or in the internal nodes and a literal in...
Given a Boolean function f, we study two natural generalizations of the certificate complexity C (f): the randomized certificate complexity RC (f) and the quantum certificate comp...
An evolutionary system that supports the interaction of neutral and adaptive mutations is investigated. Experimental results on a Boolean function and needle-in-haystack problems s...
An errorless circuit for a boolean function is one that outputs the correct answer or "don't know" on each input (and never outputs the wrong answer). The goal of e...
A boolean function of n boolean variables is correlation-immune of order k if the function value is uncorrelated with the values of any k of the arguments. Such functions are of co...
E. Rodney Canfield, Zhicheng Gao, Catherine S. Gre...
Interval functions constitute quite a special class of Boolean functions for which it is very easy and fast to determine their functional value on a specified input vector. Their ...