This paper investigates the connection between additive fuzzy systems and kernel machines. We prove that, under quite general conditions, these two seemingly quite distinct models are essentially equivalent. As a result, algorithms based upon Support Vector (SV) learning are proposed to build fuzzy systems for classification and function approximation. The performance of the proposed algorithm ...

It is proved that, under a nontriviality assumption, an additive function on a Cartesian product of connected topological spaces is continuous, whenever the preference relation, represented by this function, is continuous. The result is used to generalize a theorem of Debreu (( 1960). Mathematical methods in the social sciences (pp. 1626). Stanford: Stanford Univ. Press) on additive representat...

• A spectral norm bound for reconstruction error for the basic low-rank approximation random sampling algorithm. • A discussion of how similar bounds can be obtained with a variety of random projection algorithms. • A discussion of possible ways to improve the basic additive error bounds. • An iterative algorithm that leads to additive error with much smaller additive scale. This will involve u...

We study properties of the additive binary Markov chain with short and longrange correlations. A new approach is suggested that allows one to express global statistical properties of a binary chain in terms of the so-called memory function. The latter is directly connected with the pair correlator of a chain via the integral equation that is analyzed in great detail. To elucidate the relation b...

This paper describes an estimator of the additive components of a nonparametric additive model with a known link function. When the additive components are twice continuously differentiable, the estimator is asymptotically normally distributed with a rate of convergence in probability of 2 / 5 n− . This is true regardless of the (finite) dimension of the explanatory variable. Thus, in contrast ...

correlation between breeding value of crude milk (cm) and energy-corrected milk (ecm) was studied based on a total of 774,013 test day records belongs to 88,456 first-parity holsteins dairy cattle calving during 1997-2009 in 165 herds (from six provinces). genetic analysis of the traits was carried out by a fixed regression test day model. in the model, effects of herd, calving year, production...