set of coordinates , and am estimating where . I also happen to know that .
The question is how I can utilize this knowledge of the upper bound on values to improve the regression result?
My intuition is to run a "normal" linear regression on all coordinates in giving and then construct , with being the lowest number such that , e.g. such that lies as high as it can whilst still touching at least point in . I do, however, have absolutely no idea if this is the best way to do it, nor how to devise an algorithm that does this efficiently.