Let Us Use Negative Examples in Regression-Type Problems Too

In many practical situations, we need to reconstruct the dependence between quantities x and y based on several situations in which we know both x and y values. Such problems are known as regression problems. Usually, this reconstruction is based on positive examples, when we know y - at least, with some accuracy. However, in addition, we often also know some examples in which we have negative information about y - e.g., we know that y does not belong to a certain interval. In this paper, we show how such negative examples can be used to make the solution to a regression problem more accurate.