In present study, using Least Squares (LS) method, we determine the position smoothing in GPS single-frequency receiver by means of pseudo-range and carrier phase measurements. The application of pseudo-range or carrier phase measurements in GPS receiver positioning separately can lead to defects. By means of pseudo-range data, we have position with less precision and more distortion. By use of...

In this paper we propose a method for piecewise linear reconstruction and subsequent smoothing of a point sampled curve. The reconstruction step is based on the meshless parameterization reconstruction algorithm proposed by Floater. The information computed in the reconstruction step is used for a least squares based discrete smoothing method, with behavior comparable to a smoothing spline. We ...

A general version of multivariate smoothing splines with correlated errors and correlated curves is proposed. A suitable symmetric smoothing parameter matrix is introduced, and practical priors are developed for the unknown covariance matrix of the errors and the smoothing parameter matrix. An efficient algorithm for computing the multivariate smoothing spline is derived, which leads to an effi...

Pseudo-Relevance Feedback (PRF) is an important general technique for improving retrieval effectiveness without requiring any user effort. Several state-of-the-art PRF models are based on the language modeling approach where a query language model is learned based on feedback documents. In all these models, feedback documents are represented with unigram language models smoothed with a collecti...

In this paper we present a unified discussion of different approaches to the identification of smoothing spline analysis of variance (ANOVA) models: (i) the “classical” approach (in the line of Wahba in Spline Models for Observational Data, 1990; Gu in Smoothing Spline ANOVA Models, 2002; Storlie et al. in Stat. Sin., 2011) and (ii) the State-Dependent Regression (SDR) approach of Young in Nonl...

The fixed-lag smoothing problem with a partial lag is the problem in which the presence of the smoothing lag is allowed only in a part of estimation channels. This paper studies the effect of a partial smoothing lag on the achievable H ∞ performance in the continuous-time case. In particular, the limit of the achievable performance is established and the saturation of the achievable performance...

Gaussian filters are widely used for image smoothing but it is well known that this type of filters blur the image features (e.g., edges). Anisotropic filtering draws more and more attention for its ability of featurepreserving smoothing. However, most existing anisotropic filters are quite time-consuming. In this report I will discuss the combination of anisotropic filtering and recursive impl...

For spline smoothing one can rewrite the smooth estimation as a linear mixed model (LMM) where the smoothing parameter appears as the variance of spline basis coefficients. Smoothing methods that use basis functions with penalization can utilize maximum likelihood (ML) theory in LMM framework ([8]). We introduce the minimum description length (MDL) model selection criterion in LMM and propose a...

Bandwidth smoothing techniques for the delivery of compressed prerecorded video have been shown effective in removing the burstiness required for the continuous playback of stored video. Given a fixed client-side buffer, several bandwidth smoothing algorithms have been introduced that are provably optimal under certain constraints. These algorithms, however, may be too aggressive in the amount ...

The exponential smoothing prediction algorithm is widely used in spaceflight control and in process monitoring as well as in economical prediction. There are two key conundrums which are open: one is about the selective rule of the parameter in the exponential smoothing prediction, and the other is how to improve the bad influence of outliers on prediction. In this paper a new practical outlier...