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Python implementation of SGWR and Fast SGWR (MPI-enhanced)

Project description

FastSGWR: "Enhancing the Computational Efficiency of the SGWR Model and Introducing Its Software Implementation." This article along the python packages (parallel & sequential), and a Graphic User Interface (GUI) tool named 'SGWR Model' is developed based on this article :SGWR: similarity and geographically weighted regression (https://doi.org/10.1080/13658816.2024.2342319).

Author info

  • Code Author: M. Naser Lessani (GIBD)
  • Realeased Year: 2025
  • Affiliation: Geoinformation and Big Data Research Laboratory (GIBD), Department of Geography, The Pennsylvania State University, University Park, PA, USA

Overview

The SGWR (Similarity and Geographically Weighted Regression) model is a novel local spatial regression model that extends the conventional GWR by incorporating both geographical proximity and attribute similarity into a composite spatial weight matrix. The combination of spatial and attribute-based weights is governed by a parameter alpha, which is optimized based on AICc measure.

This Python package includes:

  • MPI-enabled parallel implementations of the SGWR
  • Serial version of the SGWR model
  • Support for Gaussian and bi-square kernels
  • Also, supports a combination of adaptive bisquare and gaussian

Key Features

  • Parallel Computation with MPI: Achieve substantial runtime reductions using multiple CPU cores.
  • Alpha Optimization: Automatically tune the contribution of similarity and spatial proximity.
  • Kernel Flexibility: Choose between Gaussian (default) and bi-square kernels.
  • Also users have the ability to either chose standardize or don't standardize their data
  • Evaluation Metrics: Outputs include R², adjusted R², AICc, and other metrics

Installation Requirements

Ensure the following dependencies are installed:

Standard Python Libraries:

  • os
  • argparse
  • datetime
  • math
  • copy
  • typing (Optional)
  • itertools (combinations)

MPI and CLI:

  • mpi4py
  • click

Numerical and Data Handling:

  • numpy
  • pandas
  • scipy (stats, linalg, spatial.distance)

Machine Learning and Metrics:

  • scikit-learn (metrics)

Specialized Geospatial Modeling:

  • spglm (family, glm, iwls, utils)

Data Format

Input data must be a CSV file with the following column order:

longitude, latitude, dependent_variable, independent_variable_1, ..., independent_variable_n

Categorical variables must be pre-processed into dummy variables. Example: For a 3-class variable ("urban", "peri-urban", "rural"), create:

  • urban_dummy: 1 if urban, else 0
  • peri_urban_dummy: 1 if peri-urban, else 0
  • Rural becomes the reference class (excluded)

Usage

After preparing your dataset and ensuring all dependencies are installed, the model can be run via the command line:

MPI Commands (parallel):

  • fastsgwr run -np x -data path_to_data (by default the kernel is Gaussian function, and doesn't standardize the data)

  • fastsgwr run -np x -data path_to_data -standardize (using Gaussian function and standardize the input data)

  • fastsgwr run -np x -data path_to_data -bisquare

  • fastsgwr run -np x -data path_to_data -bisquare -standardize

  • fastsgwr run -np x -data path_to_data -biga (adaptive bisquare and gaussian)

  • fastsgwr run -np x -data path__to_data -gwr (run gwr as well in parallel)

  • x: Number of cores

  • path_to_data: Path to the CSV dataset

The output will be a CSV file saved in the same input directory, and containing local coefficients and performance metrics.

Citation

If you use this package in your work, please cite the following articles:

  1. Lessani, M. Naser, and Zhenlong Li. "SGWR: similarity and geographically weighted regression." International Journal of Geographical Information Science 38, no. 7 (2024): 1232-1255.
  2. Lessani, M. Naser, and Zhenlong Li. "Enhancing the Computational Efficiency of the SGWR Model and Introducing Its Software Implementation." Annals of GIS (2025).

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