code: def _apply_correction_on_genes(genes,
                                 pathway_column_names,
                                 pathway_definitions):
      
      gene_row_names = index_element_map(genes)
      membership_matrix = initialize_membership_matrix(
          genes, pathway_definitions)
      crosstalk_corrected_index_map = maximum_impact_estimation(
          membership_matrix)
  
      updated_pathway_definitions = _update_pathway_definitions(
          crosstalk_corrected_index_map,
          gene_row_names, pathway_column_names)
      return updated_pathway_definitions
docs: Helper function to create the gene-to-pathway
      membership matrix and apply crosstalk correction on that
      matrix. Returns the crosstalk-corrected pathway definitions
      for the input `genes.`