A view of approximation theory
IBM Journal of Research and Development - Mathematics and computing
Analytical expression of explicit MPC solution via lattice piecewise-affine function
Automatica (Journal of IFAC)
Brief paper: Adaptive hinging hyperplanes and its applications in dynamic system identification
Automatica (Journal of IFAC)
Optimised PWL recursive approximation and its application to neuro-fuzzy systems
Mathematical and Computer Modelling: An International Journal
Region configurations for realizability of lattice Piecewise-Linear models
Mathematical and Computer Modelling: An International Journal
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PWL functions are represented by an algebra that facilitates their treatment in many practical problems. One of the characteristics of the resulting analytical model is that the representation of the data flow proves particularly suitable for parallel processing. The present work shows that the number of computation cells is lower than the number of hyperplanes of the function. Also the analytical expression does not require any information about the regions into which the function domain is divided. These two facts confer the offered method great usefulness within the context of neural computation.