This work presents a novel ranking scheme for structured data. We show how to apply the notion of typicality analysis from cognitive science and how to use this notion to formulate the problem of ranking data with categorical attributes. First, we formalize the typicality query model for relational databases. We adopt Pearson correlation coefficient to quantify the extent of the typicality of a...

Increasing the number of available sources of information may impair or facilitate performance, depending on the capacity of the processing system. Tests performed on response time distributions are proving to be useful tools in determining the workload capacity (as well as other properties) of cognitive systems. In this article, we develop a framework and relevant mathematical formulae that re...

The figure of merit for refrigerators performing finite-time Carnot-like cycles between two reservoirs at temperature T(h) and T(c) (<T(h)) is optimized. It is found that the coefficient of performance at maximum figure of merit is bounded between 0 and (sqrt[9+8ε(c)] - 3)/2 for the low-dissipation refrigerators, where ε(c) = T(c)/(T(h) - T(c)) is the Carnot coefficient of performance for rever...

The paper aims to enhance the existing literature on the debt-growth nexus by analysing the relationship in two separate country groups using the extreme bounds analysis for sensitivity tests and the mixed, fixed, and random coefficient approach that allows for heterogeneity in the causal relationship between debt and growth. Irrespective of the debt measure used, the results are robust across ...

We present reduced basis approximations and associated a posteriori error bounds for nonaffine linear time-varying parabolic partial differential equations. We employ the Empirical Interpolation Method in order to construct “affine” coefficient-function approximations of the “nonaffine” parametrized functions. To this end, we extend previous work on time-invariant functions to time-varying func...

We consider the estimation of regression coefficients in a high-dimensional linear model. For regression coefficients in lr balls, we provide lower bounds for the minimax lq risk and minimax quantiles of the lq loss for all design matrices. Under an l0 sparsity condition on a target coefficient vector, we sharpen and unify existing oracle inequalities for the Lasso and Dantzig selector. We deri...

In this paper, we make use of the concept q−calculus in theory univalent functions, to obtain bounds for certain coefficient functional problems Janowski type starlike functions and find Fekete–Szegö functional. A similar results have been done function ℘−1. Further, newly defined class determine estimates, distortion bounds, radius problems, related partial sums.

The disagreement coefficient of Hanneke has become a central concept in proving active learning rates. It has been shown in various ways that a concept class with low complexity together with a bound on the disagreement coefficient at an optimal solution allows active learning rates that are superior to passive learning ones. We present a different tool for pool based active learning which foll...