Application of Shapley value in a regression analysis
... explainability of the model is considered. The necessary theoretical apparatus is systematized and the construction of Shapley estimates based on the coefficient of determination is given.
Miheenko A. M., Savich D. S.
Shapley value, multicollinearity, linear regression, cooperative game theory, coefficent of determination
Use of the genetic algorithm for devising a formula for liver volumetry
The authors propose a method of liver volumetry using anthropometric data and the data obtained during an ultrasound examination. The algorithm is built on the basis of a genetic algorithm with coefficients calculated using linear regression. It is shown that the new formula is more accurate than previously proposed ones. The algorithm can be used to work out volumetric formulas for other organs in radiological studies.
1. Изранов В. А., Казанцева Н. В., Мартинович ...
Analysis methodology for the relationship between the water flow and river levels by determining the dependence
... article contains all the available data on average monthly discharges and water levels for the rivers under study, that provided the background for the hydrological series of these characteristics which are found to be in a close stochastic connection. Linear regression equations connect the average monthly discharges and water levels in the rivers under study. They also provide for the graphs of the relationship between the considered values, and the boundaries of their confidence intervals were calculated ...