Interpolation Task

An Interpolation Task is a numerical prediction task where predictions are restricted from points within the known space of points.

Context:
- It can be solved by an Interpolation System (that implements an interpolation algorithm).
Example(s):
- We have observed the temperature to vary from 20 degrees Celsius at 13:00 to 14 degrees at 15:00. What was the temperature at 13:30?
- a Polynomial Interpolation Task.
- …
Counter-Example(s):
- an Extrapolation Task.
- a Regression Task.
See: Function Fitting Task, Point Estimation Task, Prediction Error, Linear Interpolation Algorithm, Polynomial Interpolation Algorithm.

References

http://en.wikipedia.org/wiki/Interpolation
- In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.
  In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate (i.e. estimate) the value of that function for an intermediate value of the independent variable. This may be achieved by curve fitting or regression analysis.