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										 |  |  | library(data.table) | 
					
						
							|  |  |  | library(neuralnet) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | #' Find genes by training a neural network on reference position data. | 
					
						
							|  |  |  | #' | 
					
						
							|  |  |  | #' The result will be a data.table with the following columns: | 
					
						
							|  |  |  | #' | 
					
						
							|  |  |  | #'  - `gene` Gene ID of the processed gene. | 
					
						
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										 |  |  | #'  - `score` Output score given by the neural network. | 
					
						
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										 |  |  | #' | 
					
						
							|  |  |  | #' @param distances Distance data to use. | 
					
						
							|  |  |  | #' @param species_ids Species, whose data should be included. | 
					
						
							|  |  |  | #' @param gene_ids Genes to process. This should include the reference genes. | 
					
						
							|  |  |  | #' @param reference_gene_ids Genes to compare to. | 
					
						
							|  |  |  | #' @param seed A seed to get reproducible results. | 
					
						
							|  |  |  | process_neural <- function(distances, species_ids, gene_ids, | 
					
						
							|  |  |  |                            reference_gene_ids, seed = 726839) { | 
					
						
							|  |  |  |     set.seed(seed) | 
					
						
							|  |  |  |     gene_count <- length(gene_ids) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # Prefilter distances by species. | 
					
						
							|  |  |  |     distances <- distances[species %chin% species_ids] | 
					
						
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 | 
					
						
							|  |  |  |     #' Input data for the network. This contains the gene ID as an identifier | 
					
						
							|  |  |  |     #' as well as the per-species gene distances as input variables. | 
					
						
							|  |  |  |     data <- data.table(gene = gene_ids) | 
					
						
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 | 
					
						
							|  |  |  |     #' Buffer to keep track of species included in the computation. Species | 
					
						
							|  |  |  |     #' from `species_ids` may be excluded if they don't have enough data. | 
					
						
							|  |  |  |     species_ids_included <- NULL | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     for (species_id in species_ids) { | 
					
						
							|  |  |  |         # Make a column specific to this species. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         species_distances <- distances[species == species_id, .(gene, distance)] | 
					
						
							|  |  |  |         setnames(species_distances, "distance", species_id) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         # Only include species with at least 25% known values. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         species_distances <- na.omit(species_distances) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         if (nrow(species_distances) >= 0.25 * gene_count) { | 
					
						
							|  |  |  |             species_ids_included <- append(species_ids_included, species_id) | 
					
						
							|  |  |  |             data <- merge(data, species_distances, all = TRUE) | 
					
						
							|  |  |  |         } | 
					
						
							|  |  |  |     } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # Replace missing data with mean values. The neural network can't handle | 
					
						
							|  |  |  |     # NAs in a meaningful way. Choosing extreme values here would result in | 
					
						
							|  |  |  |     # heavily biased results. Therefore, the mean value is chosen as a | 
					
						
							|  |  |  |     # compromise. However, this will of course lessen the significance of the | 
					
						
							|  |  |  |     # results. | 
					
						
							|  |  |  |     for (species_id in species_ids_included) { | 
					
						
							|  |  |  |         mean_value <- data[, mean(get(species_id), na.rm = TRUE)] | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         data[ | 
					
						
							|  |  |  |             is.na(get(species_id)), | 
					
						
							|  |  |  |             eval(quote(species_id)) := round(mean_value) | 
					
						
							|  |  |  |         ] | 
					
						
							|  |  |  |     } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # Extract the reference genes. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     reference_data <- data[gene %chin% reference_gene_ids] | 
					
						
							|  |  |  |     reference_data[, neural := 1.0] | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # Take out random samples from the remaining genes. This is another | 
					
						
							|  |  |  |     # compromise with a negative impact on significance. Because there is no | 
					
						
							|  |  |  |     # information on genes with are explicitely *not* TPE-OLD genes, we have to | 
					
						
							|  |  |  |     # assume that a random sample of genes has a low probability of including | 
					
						
							|  |  |  |     # TPE-OLD genes. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     without_reference_data <- data[!gene %chin% reference_gene_ids] | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     reference_samples <- without_reference_data[ | 
					
						
							|  |  |  |         sample( | 
					
						
							|  |  |  |             nrow(without_reference_data), | 
					
						
							|  |  |  |             nrow(reference_data) | 
					
						
							|  |  |  |         ) | 
					
						
							|  |  |  |     ] | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     reference_samples[, neural := 0.0] | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # Merge training data. The training data includes all reference genes as | 
					
						
							|  |  |  |     # well as an equal number of random sample genes. | 
					
						
							|  |  |  |     training_data <- rbindlist(list(reference_data, reference_samples)) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # Construct and train the neural network. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     nn_formula <- as.formula(sprintf( | 
					
						
							|  |  |  |         "neural~%s", | 
					
						
							|  |  |  |         paste(species_ids_included, collapse = "+") | 
					
						
							|  |  |  |     )) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     layer1 <- length(species_ids_included) * 0.66 | 
					
						
							|  |  |  |     layer2 <- layer1 * 0.66 | 
					
						
							|  |  |  |     layer3 <- layer2 * 0.66 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     nn <- neuralnet( | 
					
						
							|  |  |  |         nn_formula, | 
					
						
							|  |  |  |         training_data, | 
					
						
							|  |  |  |         hidden = c(layer1, layer2, layer3), | 
					
						
							|  |  |  |         linear.output = FALSE | 
					
						
							|  |  |  |     ) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # Return the resulting scores given by applying the neural network. | 
					
						
							|  |  |  | 
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										 |  |  |     data[, score := compute(nn, data)$net.result] | 
					
						
							|  |  |  |     data[, .(gene, score)] | 
					
						
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										 |  |  | } |