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										 |  |  | # Find genes by training and applying a neural network. | 
					
						
							|  |  |  | neural <- function(preset, progress = NULL, seed = 49641) { | 
					
						
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										 |  |  |     species_ids <- preset$species_ids | 
					
						
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										 |  |  |     gene_ids <- preset$gene_ids | 
					
						
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										 |  |  |     reference_gene_ids <- preset$reference_gene_ids | 
					
						
							|  |  |  | 
 | 
					
						
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										 |  |  |     cached("neural", c(species_ids, gene_ids, reference_gene_ids), { | 
					
						
							|  |  |  |         set.seed(seed) | 
					
						
							|  |  |  |         gene_count <- length(gene_ids) | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |         # Prefilter distances by species. | 
					
						
							|  |  |  |         distances <- geposan::distances[species %chin% species_ids] | 
					
						
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										 |  |  | 
 | 
					
						
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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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										 |  |  | 
 | 
					
						
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										 |  |  |         # Buffer to keep track of the names of the input variables. | 
					
						
							|  |  |  |         input_vars <- NULL | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |         # Make a columns containing positions and distances for each | 
					
						
							|  |  |  |         # species. | 
					
						
							|  |  |  |         for (species_id in species_ids) { | 
					
						
							|  |  |  |             species_data <- distances[ | 
					
						
							|  |  |  |                 species == species_id, | 
					
						
							|  |  |  |                 .(gene, position, distance) | 
					
						
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										 |  |  |             ] | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |             # Only include species with at least 25% known values. As | 
					
						
							|  |  |  |             # positions and distances always coexist, we don't loose any | 
					
						
							|  |  |  |             # data here. | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |             species_data <- stats::na.omit(species_data) | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |             if (nrow(species_data) >= 0.25 * gene_count) { | 
					
						
							|  |  |  |                 data <- merge(data, species_data, all.x = TRUE) | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |                 # 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. | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |                 mean_position <- round(species_data[, mean(position)]) | 
					
						
							|  |  |  |                 mean_distance <- round(species_data[, mean(distance)]) | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |                 data[is.na(distance), `:=`( | 
					
						
							|  |  |  |                     position = mean_position, | 
					
						
							|  |  |  |                     distance = mean_distance | 
					
						
							|  |  |  |                 )] | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |                 input_position <- sprintf("%s_position", species_id) | 
					
						
							|  |  |  |                 input_distance <- sprintf("%s_distance", species_id) | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |                 # Name the new columns after the species. | 
					
						
							|  |  |  |                 setnames( | 
					
						
							|  |  |  |                     data, | 
					
						
							|  |  |  |                     c("position", "distance"), | 
					
						
							|  |  |  |                     c(input_position, input_distance) | 
					
						
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										 |  |  |                 ) | 
					
						
							|  |  |  | 
 | 
					
						
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										 |  |  |                 # Add the input variables to the buffer. | 
					
						
							|  |  |  |                 input_vars <- c(input_vars, input_position, input_distance) | 
					
						
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										 |  |  |             } | 
					
						
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										 |  |  |         } | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |         # Extract the reference genes. | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         reference_data <- data[gene %chin% reference_gene_ids] | 
					
						
							|  |  |  |         reference_data[, score := 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. | 
					
						
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										 |  |  | 
 | 
					
						
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										 |  |  |         without_reference_data <- data[!gene %chin% reference_gene_ids] | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         reference_samples <- without_reference_data[ | 
					
						
							|  |  |  |             sample( | 
					
						
							|  |  |  |                 nrow(without_reference_data), | 
					
						
							|  |  |  |                 nrow(reference_data) | 
					
						
							|  |  |  |             ) | 
					
						
							|  |  |  |         ] | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         reference_samples[, score := 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)) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         # Layers for the neural network. | 
					
						
							|  |  |  |         input_layer <- length(input_vars) | 
					
						
							|  |  |  |         layer1 <- input_layer | 
					
						
							|  |  |  |         layer2 <- 0.5 * input_layer | 
					
						
							|  |  |  |         layer3 <- 0.5 * layer2 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         # Train the model using the specified subset of the training data and | 
					
						
							|  |  |  |         # apply it for predicting the genes. | 
					
						
							|  |  |  |         apply_network <- function(training_gene_ids, gene_ids) { | 
					
						
							|  |  |  |             # Create a new model for each training session, because the model | 
					
						
							|  |  |  |             # would keep its state across training sessions otherwise. | 
					
						
							|  |  |  |             model <- keras::keras_model_sequential() |> | 
					
						
							|  |  |  |                 keras::layer_dense( | 
					
						
							|  |  |  |                     units = layer1, | 
					
						
							|  |  |  |                     activation = "relu", | 
					
						
							|  |  |  |                     input_shape = input_layer, | 
					
						
							|  |  |  |                 ) |> | 
					
						
							|  |  |  |                 keras::layer_dense( | 
					
						
							|  |  |  |                     units = layer2, | 
					
						
							|  |  |  |                     activation = "relu", | 
					
						
							|  |  |  |                     kernel_regularizer = keras::regularizer_l2() | 
					
						
							|  |  |  |                 ) |> | 
					
						
							|  |  |  |                 keras::layer_dense( | 
					
						
							|  |  |  |                     units = layer3, | 
					
						
							|  |  |  |                     activation = "relu", | 
					
						
							|  |  |  |                     kernel_regularizer = keras::regularizer_l2() | 
					
						
							|  |  |  |                 ) |> | 
					
						
							|  |  |  |                 keras::layer_dense( | 
					
						
							|  |  |  |                     units = 1, | 
					
						
							|  |  |  |                     activation = "sigmoid" | 
					
						
							|  |  |  |                 ) |> | 
					
						
							|  |  |  |                 keras::compile(loss = "binary_crossentropy") | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |             # Prepare training data by filtering it to the given genes and | 
					
						
							|  |  |  |             # converting it to a matrix. | 
					
						
							|  |  |  |             training_data <- training_data[gene %chin% training_gene_ids] | 
					
						
							|  |  |  |             training_matrix <- as.matrix(training_data[, ..input_vars]) | 
					
						
							|  |  |  |             colnames(training_matrix) <- NULL | 
					
						
							|  |  |  |             training_matrix <- keras::normalize(training_matrix) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |             keras::fit( | 
					
						
							|  |  |  |                 model, | 
					
						
							|  |  |  |                 x = training_matrix, | 
					
						
							|  |  |  |                 y = training_data$score, | 
					
						
							|  |  |  |                 epochs = 300, | 
					
						
							|  |  |  |                 verbose = FALSE | 
					
						
							|  |  |  |             ) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |             # Convert the input data to a matrix. | 
					
						
							|  |  |  |             data_matrix <- as.matrix(data[gene %chin% gene_ids, ..input_vars]) | 
					
						
							|  |  |  |             colnames(data_matrix) <- NULL | 
					
						
							|  |  |  |             data_matrix <- keras::normalize(data_matrix) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |             data[gene %chin% gene_ids, score := predict(model, data_matrix)] | 
					
						
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										 |  |  |         } | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  |         # Apply the network to all non-training genes first. | 
					
						
							|  |  |  |         apply_network( | 
					
						
							|  |  |  |             training_data$gene, | 
					
						
							|  |  |  |             gene_ids[!gene_ids %chin% training_data$gene] | 
					
						
							|  |  |  |         ) | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         # Apply the network to the training genes leaving out the gene itself. | 
					
						
							|  |  |  |         for (training_gene_id in training_data$gene) { | 
					
						
							|  |  |  |             apply_network( | 
					
						
							|  |  |  |                 training_data[gene != training_gene_id, gene], | 
					
						
							|  |  |  |                 training_gene_id | 
					
						
							|  |  |  |             ) | 
					
						
							|  |  |  |         } | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |         data[, .(gene, score)] | 
					
						
							|  |  |  |     }) | 
					
						
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										 |  |  | } |