Modern regularisation techniques in data analysis for space plasma observations Original Research Article

This paper is aimed to summarize the main philosophy of the Regularisation technique for inverse problems in space plasma observations. This unified approach is based around a general criterion for the Regularisation parameter selection. This approach was tested on various space plasma observation problems. It is demonstrated that for these problems a deviation is necessary from the traditional Least Squares Method in favour of the Regularisation technique. Particular problems were considered in more details in other publications by the authors. However, this paper is a first attempt to emphasize mathematical peculiarities of the Regularisation approach in space plasma observations in a general manner in order to provide a useful and versatile schema for the wide range of space plasma problems.