Least Norm Problems

We discuss the least norm least squares problem

[murraypatterson]

Why minimise the norm? What’s the rationale? This video shows how you find the least norm solution for an underdetermined system., but why you would seek such an solution in the first place.
( in the type of problems i deal with, often there is a more ‘natural’ objective function)

[kenchan]

Are least-norm solutions the same as minimum-norm solutions?

[hdheuejhzbsnnaj]

It would be nice if the title on the chalkboard was "Least Norm" instead of "Least Squares" since you really cover Least Norm, which is the dual of Least Squares but not Least Squares.