In this paper (part two of the trilogy) we introduce three classes of reduced form D-regular algebraic curve splines and use them for interpolation and approximation of various algebraic curves. Explicit formulas for interpolation and approximation are also given in some low degree cases.  2000 Elsevier Science B.V. All rights reserved.

In this paper we present an approach to designing a novel type of fuzzy controller B spline basis functions are used for input variables and fuzzy singletons for output variables to specify linguistic terms Product is chosen as the fuzzy conjunction and centroid as the defuzzi ca tion method By appropriately designing the rule base a fuzzy controller can be interpreted as a B spline interpolato...

Hidden Markov Model is a popular statisical method that is used in continious and discrete speech recognition. The probability density function of observation vectors in each state is estimated with discrete density or continious density modeling. The performance (in correct word recognition rate) of continious density is higher than discrete density HMM, but its computation complexity is very ...

Interpolation is a fundamental process in solar resource assessment that glues consecutive components of the modeling chain. Most interpolation techniques assume interpolating function must go through points. However, this assumption does not fit with averaged datasets or variables be conserved across interpolation. Here I present mean-preserving splines method for one-dimensional data conserve...

In this paper we investigate the effect of two preprocessing techniques, data imputation and smoothing, in prediction blood glucose level type 1 diabetes patients, using a novel deep learning model called Transformer. We train three models: XGBoost, one-dimensional convolutional neural network (1D-CNN), Transformer to predict future levels for 30-min horizon 60-min time series history OhioT1DM ...

Hex-splines are a novel family of bivariate splines, which are well suited to handle hexagonally sampled data. Similar to classical 1D B-splines, the spline coefficients need to be computed by a prefilter. Unfortunately, the elegant implementation of this prefilter by causal and anti-causal recursive filtering is not applicable for the (non-separable) hex-splines. Therefore, in this paper we in...