## The user asked ChatGPT on 3/3/26: show R code based on Keras for a simple convolution-based autoencoder for 2-d images. ## ChatGPT responded: Here is a simple convolutional autoencoder in R using Keras for 2D grayscale images (e.g., MNIST 28×28). I’ll keep it minimal but fully working. # 1. Load Libraries library(keras) library(tensorflow) #If not installed: #install.packages("keras") #keras::install_keras() # 2. Load and Prepare Data (MNIST) mnist <- dataset_mnist() x_train <- mnist$train$x x_test <- mnist$test$x # Normalize to [0,1] x_train <- x_train / 255 x_test <- x_test / 255 # Reshape to 4D tensors: (samples, height, width, channels) x_train <- array_reshape(x_train, c(nrow(x_train), 28, 28, 1)) x_test <- array_reshape(x_test, c(nrow(x_test), 28, 28, 1)) #Autoencoders use input = output: y_train <- x_train y_test <- x_test # 3. Build Convolutional Autoencoder # Define model: input_img <- layer_input(shape = c(28, 28, 1)) # ----- Encoder ----- encoded <- input_img %>% layer_conv_2d(filters = 16, kernel_size = 3, activation = "relu", padding = "same") %>% layer_max_pooling_2d(pool_size = 2, padding = "same") %>% layer_conv_2d(filters = 8, kernel_size = 3, activation = "relu", padding = "same") %>% layer_max_pooling_2d(pool_size = 2, padding = "same") # Shape now: 7x7x8 # ----- Decoder ----- decoded <- encoded %>% layer_conv_2d_transpose(filters = 8, kernel_size = 3, activation = "relu", padding = "same") %>% layer_upsampling_2d(size = 2) %>% layer_conv_2d_transpose(filters = 16, kernel_size = 3, activation = "relu", padding = "same") %>% layer_upsampling_2d(size = 2) %>% layer_conv_2d(filters = 1, kernel_size = 3, activation = "sigmoid", padding = "same") # Create model: autoencoder <- keras_model(input_img, decoded) # 4. Compile Model autoencoder %>% compile( optimizer = "adam", loss = "binary_crossentropy" ) # 5. Train model: history <- autoencoder %>% fit( x_train, y_train, epochs = 10, batch_size = 128, validation_data = list(x_test, y_test) ) # 6. Reconstruct Images decoded_imgs <- autoencoder %>% predict(x_test) # 7. Visualize Results par(mfrow = c(2, 10), mar = c(1,1,1,1)) for (i in 1:10) { image(x_test[i,,,1], col = gray.colors(256), axes = FALSE) } for (i in 1:10) { image(decoded_imgs[i,,,1], col = gray.colors(256), axes = FALSE) } ## Why using the BCE as the loss? You can use the MSE (and change "sigmoid" to "linear") as ChatGPT did... ## User: the output images seem rotated; would you rotate them back? ## ChatGPT: In R: image() flips the y-axis (origin at bottom-left); MNIST arrays are stored with origin at top-left rotate_image <- function(img_matrix) { t(apply(img_matrix, 2, rev)) } par(mfrow = c(2, 10), mar = c(1,1,1,1)) for (i in 1:10) { image(rotate_image(x_test[i,,,1]), col = gray.colors(256), axes = FALSE) } for (i in 1:10) { image(rotate_image(decoded_imgs[i,,,1]), col = gray.colors(256), axes = FALSE) } #################################### ## User: generate R code for a similar autoencoder for MNIST but use MLPs for both the encoder and decoder. ## ChatGPT: Great — here is a fully working MLP-based autoencoder in R using Keras for MNIST. #mnist <- dataset_mnist() x_train <- mnist$train$x / 255 x_test <- mnist$test$x / 255 # Flatten 28x28 -> 784 x_train <- array_reshape(x_train, c(nrow(x_train), 784)) x_test <- array_reshape(x_test, c(nrow(x_test), 784)) # Autoencoder target = input y_train <- x_train y_test <- x_test input_img <- layer_input(shape = 784) # ----- Encoder ----- encoded <- input_img %>% layer_dense(256, activation = "relu") %>% layer_dense(64, activation = "relu") # ----- Decoder ----- decoded <- encoded %>% layer_dense(256, activation = "relu") %>% layer_dense(784, activation = "linear") autoencoder <- keras_model(input_img, decoded) autoencoder %>% compile( optimizer = "adam", loss = "mse" ) history <- autoencoder %>% fit( x_train, y_train, epochs = 20, batch_size = 128, validation_data = list(x_test, y_test) ) decoded_imgs <- autoencoder %>% predict(x_test) par(mfrow = c(2, 10), mar = c(1,1,1,1)) for (i in 1:10) { image(matrix(x_test[i, ], 28, 28)[,28:1], col = gray.colors(256), axes = FALSE) } for (i in 1:10) { image(matrix(decoded_imgs[i, ], 28, 28)[,28:1], col = gray.colors(256), axes = FALSE) } ## You could: Add dropout; Add batch normalization; Use sigmoid output + BCE ## Extract encoder separately: encoder <- keras_model(input_img, encoded) ########################################## ## ChatGPT: For visualization, it’s easiest if the latent dimension is 2 or 3. I’ll show you how to modify the autoencoder for 2D latent space and then plot it colored by MNIST digit labels. input_img <- layer_input(shape = 784) # ----- Encoder ----- encoded <- input_img %>% layer_dense(256, activation = "relu") %>% layer_dense(2, activation = "linear") # latent_dim = 2 # ----- Decoder ----- decoded <- encoded %>% layer_dense(256, activation = "relu") %>% layer_dense(784, activation = "linear") autoencoder <- keras_model(input_img, decoded) autoencoder %>% compile( optimizer = "adam", loss = "mse" ) history <- autoencoder %>% fit( x_train, y_train, epochs = 20, batch_size = 128, validation_data = list(x_test, y_test) ) encoder <- keras_model(input_img, encoded) latent_test <- encoder %>% predict(x_test) library(ggplot2) latent_df <- data.frame( x = latent_test[,1], y = latent_test[,2], label = as.factor(mnist$test$y) ) ggplot(latent_df, aes(x = x, y = y, color = label)) + geom_point(alpha = 0.6, size = 1) + theme_minimal() + labs(title = "2D Latent Space of MLP Autoencoder")