Given a stream of (x, y) points, we consider the problem of finding univariate polynomials that best fit the data. Over finite fields, this problem encompasses the well-studied problem of decoding Reed-Solomon codes while over the reals it corresponds to the well-studied polynomial regression problem. We present one-pass algorithms for two natural problems: i) find the polynomial of a given deg...

Among the various nonparametric regression methods, weighted local polynomial fitting is the one which is gaining increasing popularity. This is due to the attractive minimax efficiency of the method and to some further desirable properties such as the automatic incorporation of boundary treatment. In this paper previous results are extended in two directions: in the one-dimensional case, not o...

A way to reduce the uncertainty at output of a Kalman filter embedded into tracker connected an automotive RADAR sensor consists adaptive selection parameters during tracking process. Different informed strategies for automatically tuning tracker’s and jointly learn state/output sequence using: expectation maximization; optimization approaches, including simplex algorithm; coordinate descent; g...

environmental pollution by 2,4-dicholorphenol (2,4-dcp), commonly found in industrial wastewater has been a concern for humans over the past 50 years. garden radish peroxidase (grp) can eliminate this poisonous pollutant. the aim of this study was to apply an experimental response surface methodology (rsm) and central composite design (ccd) to optimize grp-based treatment in order to maximize t...

objective: for the assessment of primary arch form, different methods have been used including qualitative classifications, inter-canine and inter-molar widths and quantitative and numerical methods using mathematical models. the purpose of this study was to compare the validity and reliability of cast analyzer x iranian software with those of curve expert professional version 1.1 for arch form...

We deal with the problem of fitting a discrete polynomial curve to 2D data in the presence of outliers. Finding a maximal inlier set from given data that describes a discrete polynomial curve is equivalent with finding the feasible region corresponding to the set in the parameter space. When iteratively adding a data point to the current inlier set, how to update its feasible region is a crucia...

Figure 2 This shows plots of ηT and ρ (estimated using both polynomial and voxel methods) in the region of interest, from the simulation experiment with |G|max=40mT/m Figure 3 The estimated values of ρ in the human CC using the polynomial fitting method (a) and the voxel method (b). The polynomial method extracts the low-high-low trend we expect to see. The voxel method fits reasonable values o...