Easy to use function that builds a piecewise linear function approximating function f of two variables with approximation error err on domain domain. See [1] for more details.

To approximate functions of a single variable by using linear interpolation is routine in empirical studies. Here, we consider approximating functions of several variables in a similar piecewise ...

Chen, T. and Chen, H. (1995) Approximation Capability to Functions of Several Variables, Nonlinear Functionals, and Operators by Radial Basis Function Neural Networks. IEEE Transactions on Neural ...

This paper proposes a design method and programmable architectures for numerical function generators (NFGs) of two-variable functions. To realize a two-variable function in hardware, we partition a ...

We design a new provably efficient algorithm for episodic reinforcement learning with generalized linear function approximation. We analyze the algorithm under a new expressivity assumption that we ...

A linear relationship (or linear association) is a statistical term used to describe the directly proportional relationship between a variable and a constant.

Logarithmic convexity type continuous dependence results for discrete harmonic functions defined as solutions of the standard $C^0$ piecewise-linear approximation to Laplace's equation are proved.

This article also explains why assuming a linear relationship between the independent and dependent variable might be inappropriate, and describes how to use splines or fractional polynomials to model ...