In ordinary English, regular is an adjective or noun used to mean in accordance with the usual customs, conventions, or rules, or frequent, periodic, or symmetric.
The term regular also refers to:
In the military, a regular unit is a military unit that is part of the regular forces (not militia or reserve). For example, the US 101st Airborne Division is a regular unit, while the 1st US Army (Reserve) is not.
In topology, a regular space is one in which points are closed and any point can be separated from any closed set by open sets.
In algebraic geometry, a function is regular on a variety if for every point there exists an open neighborhood so that the function restricts to a rational function in that neighborhood
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Although at first the choice of the solution to this regularized problem may look artificial, and indeed the parameter α seems rather arbitrary, the process can be justified in a Bayesian point of view.
This demonstrates the effect of the Tikhonov parameter on the condition number of the regularized problem.
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