The paper presents a competitive prediction-style upper bound on the square loss of the Aggregating Algorithm for Regression with Changing Dependencies in the linear case. The algorithm is able to compete with a sequence of linear predictors provided the sum of squared Euclidean norms of differences of regression coefficient vectors grows at a sublinear rate.

In simple linear regression the determination coefficient tells us which percentage of the variance of the response variable is explained by the fitted linear mapping of the explanatory variable. In this paper we examine how to extend the notion of determination coefficient to mean absolute value and least median of squares regression. The concept behind our proposals for the extension originat...

The coefficient of determination, R, is widely used as a measure of fit for model selection and variable selection. However, R does not offer any insight about the quality of the predicted values or the potential influence of particular observed values on the predicted values. In regression analysis, statistical procedures such as t test, F test, and prediction intervals provide insight into th...

Antitubercular activity of Sulfathiazole Derivitives series were subjected to Quantitative Structure Activity Relationship (QSAR) Analysis with an attempt to derive and understand a correlation between the Biologically Activity as dependent variable and various descriptors as independent variables. QSAR models generated using 28 compounds. Several statistical regression expressions were obtaine...

Linear regression has gained widespread popularity in the social sciences. However, many applications of linear regression have been in situations in which the model data are collinear or ‘ill-conditioned.’ Collinearity renders regression estimates with inflated standard errors. In this paper, we present a method for precisely identifying coefficient estimates that are ill-conditioned, as well ...

Linear regression has gained widespread popularity in the social sciences. However, many applications of linear regression have been in situations in which the model data are collinear or ‘ill-conditioned.’ Collinearity renders regression estimates with inflated standard errors. In this paper, we present a method for precisely identifying coefficient estimates that are ill-conditioned, as well ...

stability analysis and g*e interaction of eight commercial monogerm cultivars of sugar beet were evaluated in three years at 11 major sugar beet producing locations karaj, mashhad, miandoab, esfahan, shiraz, kermanshah, kerman, moghan, hamedan, khoy, and brojerd. a randomized complete block design with four replications was used.in each location cultivars  rasoul, shirin, univers, orbis, 7112hy...

When a rat crosses the place field of a hippocampal pyramidal cell, this cell typically fires a series of spikes. Spike phases, measured with respect to theta oscillations of the local field potential, on average decrease as a function of the spatial distance traveled. This relation between phase and position of spikes might be a neural basis for encoding and is called phase precession. The deg...