In this note, the connection between the correction and weighting functions for the correction procedure via reconstruction (CPR) method in 1D is addressed. A one-parameter family of weighting functions is constructed from the discontinuous test space. It is found that if the solution polynomials lie in the space P k , then the first k weighting functions can always be chosen as the basis of th...

The integration of problem-solving methods have attracted increasing research interest. We present a hybrid system, ELEM2-CBR, that integrates rule induction and case-based reasoning. ELEM2-CBR has the following characteristics. First, it applies a novel feature weighting function for assessing similarities between cases. By using this weighting function, optimal case retrieval is achieved in t...

In recent years, geographically weighted regression (GWR) has become popular for modeling spatial heterogeneity in a regression context. However, the current weighting function used in GWR only considers the geographical distances of trees in a stand, while the attributes (e.g., tree diameter) of the neighboring trees are totally ignored. In this study, we proposed a new weighting function that...

Dempster-Shafer evidence theory has been widely used in various applications. However, to solve the problem of counter-intuitive outcomes by using classical Dempster-Shafer combination rule is still an open issue while fusing the conflicting evidences. Many approaches based on discounted evidence and weighted average evidence have been investigated and have made significant improvements. Nevert...

We present some properties of mixture and generalized mixture operators, with special stress on their monotonicity. We introduce new sufficient conditions for weighting functions to ensure the monotonicity of the corresponding operators. However, mixture operators, generalized mixture operators neither quasi-arithmetic means weighted by a weighting function need not be non-decreasing operators,...

The application of learning approaches as Kernel or Instance Based methods to tree structured data requires the definition of similarity functions able to deal with such data. A new similarity function for nearest prototype classification in relational data that follows a tree structure is defined in this paper. Its main characteristic is its capability to weight the importance of the different...

In order to evaluate the effects of ultraviolet radiation (UV; 280 400 nm) on aquatic ecosystems, and to predict the potential influence of enhanced ultraviolet-B radiation (UV-B; 280 320 nm) from ozone depletion, it is necessary to observe the effects of natural and experimentallyaltered UV on different biological and chemical systems, and to quantify measured responses as functions of irradia...

In this paper, the problems of finite-time stability and stabilization for a class of singular time-delay systems are studied. Using the Lyapunov-like functional (LLF) with (exponential or power) weighting function and a new estimation method for the lower bound on LLF, some sufficient stability conditions are introduced. It is shown that the weighting function significantly reduces the conserv...

Since Kahneman and Tversky (1979), it has been generally recognized that decision makers overweight low probabilities and underweight high probabilities. Of the several weighting functions that have been proposed, that of Prelec (1998) has the attractions that it is parsimonious, consistent with much of the available empirical evidence and has an axiomatic foundation. Luce (2001) provided a sim...

In this paper, we propose a new scheme to enhance temporal consistency of depth sequences for multi-view depth estimation. When we compute the matching cost for estimating appropriate depth, we add a temporal weighting function to the conventional matching function. Furthermore, since the temporal weighting function only works well for the background, we apply it only to the background. Experim...