scholarly journals An improved logistic regression model based on a spatially weighted technique (ILRBSWT v1.0) and its application to mineral prospectivity mapping

2018 ◽  
Vol 11 (6) ◽  
pp. 2525-2539 ◽  
Author(s):  
Daojun Zhang ◽  
Na Ren ◽  
Xianhui Hou

Abstract. The combination of complex, multiple minerogenic stages and mineral superposition during geological processes has resulted in dynamic spatial distributions and nonstationarity of geological variables. For example, geochemical elements exhibit clear spatial variability and trends with coverage type changes. Thus, bias is likely to occur under these conditions when general regression models are applied to mineral prospectivity mapping (MPM). In this study, we used a spatially weighted technique to improve general logistic regression and developed an improved model, i.e., the improved logistic regression model, based on a spatially weighted technique (ILRBSWT, version 1.0). The capabilities and advantages of ILRBSWT are as follows: (1) it is a geographically weighted regression (GWR) model, and thus it has all advantages of GWR when managing spatial trends and nonstationarity; (2) while the current software employed for GWR mainly applies linear regression, ILRBSWT is based on logistic regression, which is more suitable for MPM because mineralization is a binary event; (3) a missing data processing method borrowed from weights of evidence is included in ILRBSWT to extend its adaptability when managing multisource data; and (4) in addition to geographical distance, the differences in data quality or exploration level can be weighted in the new model.

2018 ◽  
Author(s):  
Daojun Zhang ◽  
Na Ren ◽  
Xianhui Hou

Abstract. Due to complexity, multiple minerogenic stages, and superposition during geological processes, the spatial distributions of geological variables also exhibit specific trends and non-stationarity. For example, geochemical elements exhibit obvious spatial non-stationarity and trends because of the deposition of different types of coverage. Thus, bias may clearly occur under these conditions when general regression models are applied to mineral prospectivity mapping (MPM). In this study, we used a spatially weighted technique to improve general logistic regression and developed an improved model called the improved logistic regression model based on spatially weighted technique (ILRBSWT, version 1.0). The capabilities and advantages of ILRBSWT are as follows: (1) ILRBSWT is essentially a geographically weighted regression (GWR) model, and thus it has all its advantages when dealing with spatial trends and non-stationarity; (2) the current software employed for GWR mainly applies linear regression whereas ILRBSWT is based on logistic regression, which is used more commonly in MPM because mineralization is a binary event; (3) a missing data process method borrowed from weights of evidence is included to extend the adaptability when dealing with multisource data; and (4) the differences of data quality or exploration level can also be weighted in the new model as well as the geographical distance.


Author(s):  
Chenyang Song ◽  
Liguo Wang ◽  
Zeshui Xu

The logistic regression model is one of the most widely used classification models. In some practical situations, few samples and massive uncertain information bring more challenges to the application of the traditional logistic regression. This paper takes advantages of the hesitant fuzzy set (HFS) in depicting uncertain information and develops the logistic regression model under hesitant fuzzy environment. Considering the complexity and uncertainty in the application of this logistic regression, the concept of hesitant fuzzy information flow (HFIF) and the correlation coefficient between HFSs are introduced to determine the main factors. In order to better manage situations with small samples, a new optimized method based on the maximum entropy estimation is also proposed to determine the parameters. Then the Levenberg–Marquardt Algorithm (LMA) under hesitant fuzzy environment is developed to solve the parameter estimation problem with fewer samples and uncertain information in the logistic regression model. A specific implementation process for the optimized logistic regression model based on the maximum entropy estimation under the hesitant fuzzy environment is also provided. Moreover, we apply the proposed model to the prediction problem of Emergency Extreme Air Pollution Event (EEAPE). A comparative analysis and a sensitivity analysis are further conducted to illustrate the advantages of the optimized logistic regression model under hesitant fuzzy environment.


2009 ◽  
Vol 192 (4) ◽  
pp. 1117-1127 ◽  
Author(s):  
Jagpreet Chhatwal ◽  
Oguzhan Alagoz ◽  
Mary J. Lindstrom ◽  
Charles E. Kahn ◽  
Katherine A. Shaffer ◽  
...  

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