A Fibonacci version of Kraft's inequality applied discrete unimodal search
SIAM Journal on Computing
Constant depth circuits, Fourier transform, and learnability
Journal of the ACM (JACM)
Efficient distribution-free learning of probabilistic concepts
Proceedings of a workshop on Computational learning theory and natural learning systems (vol. 1) : constraints and prospects: constraints and prospects
An efficient membership-query algorithm for learning DNF with respect to the uniform distribution
Journal of Computer and System Sciences
More efficient PAC-learning of DNF with membership queries under the uniform distribution
COLT '99 Proceedings of the twelfth annual conference on Computational learning theory
Generalized Kraft's Inequality and Discrete $k$-Modal Search
SIAM Journal on Computing
Adaptive Versus Nonadaptive Attribute-Efficient Learning
Machine Learning
Parallel Attribute-Efficient Learning of Monotone Boolean Functions
SWAT '00 Proceedings of the 7th Scandinavian Workshop on Algorithm Theory
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Searching for genes involved in traits (e.g. diseases), based on genetic data, is considered from a computational learning perspective. This leads to the problem of learning relevant variables of functions from data sampled from a certain class of distributions generalizing the uniform distribution. The Fourier transform of Boolean functions is applied to translate the problem into searching for local extrema of certain functions of observables. We work out the combinatorial structure of this approach and illustrate its potential use.