In this paper we study the consistency of an empirical minimum error entropy (MEE) algorithm in a regression setting. We introduce two types of consistency. The error entropy consistency, which requires the error entropy of the learned function to approximate the minimum error entropy, is shown to be always true if the bandwidth parameter tends to 0 at an appropriate rate. The regression consis...

Geospatial data-sets are becoming commonplace in many application domains, especially in the area of decision-making. Current state-of-the-art in geospatial systems either lack the ease-of-use and efficiency or sophisticated querying and analysis features needed by these applications. To address these shortcomings, we have been working on a generic and scalable geospatial decision making system...

Ever since Buss showed the relation of his hierarchy of bounded arithmetic S 2, i = 1, 2, . . . to polynomial-time hierarchy of computational complexity [2], the question of whether his hierarchy is collapsed at some i = n or not, has become one of the central questions of bounded arithmetic. This is because the collapse of Buss’s hierarchy implies the collapse of polynomial-time hierarchy. In ...

We show how to use intersection types for building models of a λ-calculus enriched with recursive terms, whose intended meaning is of minimal fixed points. As a by-product we prove an interesting consistency result.

As a testament to their success, the theory of random forests has long been outpaced by their application in practice. In this paper, we take a step towards narrowing this gap by providing a consistency result for online random forests.

In this paper, we consider First-order fuzzy differential equations with initial value conditions. The convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized H-differentiability, are studied. Then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of ...

Quartic non-polynomial spline function approximation in off step points is developed, for the solution of fourth-order boundary value problems. Using consistency relation of such spline and suitable choice of parameter,we have obtained second, fourth and sixth orders methods. Convergence analysis of sixth order method has been given. The methods are illustrated by some examples, to verify the or...

We deal with consistency results for the existence of universal models in natural classes of models (more exactly–a somewhat weaker version). We apply a result on quite general family to Tfeq and to the class of triangle-free graphs