(original) (raw)

{"metadata":{"kernelspec":{"name":"ir","display_name":"R","language":"R"},"language_info":{"name":"R","codemirror_mode":"r","pygments_lexer":"r","mimetype":"text/x-r-source","file_extension":".r","version":"4.4.0"},"kaggle":{"accelerator":"nvidiaTeslaT4","dataSources":[],"dockerImageVersionId":30751,"isInternetEnabled":true,"language":"r","sourceType":"notebook","isGpuEnabled":true}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"code","source":"install.packages(\"keras\")\ninstall.packages(\"tensorflow\")\nlibrary(keras)\nlibrary(tensorflow)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2026-03-11T06:23:13.405536Z","iopub.execute_input":"2026-03-11T06:23:13.407089Z","iopub.status.idle":"2026-03-11T06:24:21.377641Z","shell.execute_reply":"2026-03-11T06:24:21.376206Z"}},"outputs":[{"name":"stderr","text":"Installing package into ‘/usr/local/lib/R/site-library’\n(as ‘lib’ is unspecified)\n\nInstalling package into ‘/usr/local/lib/R/site-library’\n(as ‘lib’ is unspecified)\n\nalso installing the dependency ‘reticulate’\n\n\nThe keras package is deprecated. Please use the keras3 package instead.\nAlternatively, to continue using legacy keras, call `py_require_legacy_keras()`.\n\n","output_type":"stream"}],"execution_count":1},{"cell_type":"code","source":"# Example data: sine wave\nset.seed(42)\ntime_steps <- 100\ndata <- sin(seq(0, 10, length.out = time_steps)) + rnorm(time_steps, sd = 0.1)\n\n# Normalize data\ndata <- scale(data)\n\n# Prepare training data\nx_train <- data[1:(time_steps - 1)]\ny_train <- data[2:time_steps]\n\nx_train <- array_reshape(x_train, c(length(x_train), 1, 1))\ny_train <- array_reshape(y_train, c(length(y_train), 1))","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2026-03-11T06:24:21.380945Z","iopub.execute_input":"2026-03-11T06:24:21.408071Z","iopub.status.idle":"2026-03-11T06:24:23.669080Z","shell.execute_reply":"2026-03-11T06:24:23.667462Z"}},"outputs":[],"execution_count":2},{"cell_type":"code","source":"model <- keras_model_sequential() %>%\n layer_gru(units = 50, input_shape = c(1, 1), return_sequences = FALSE) %>%\n layer_dense(units = 1)\n\nmodel %>% compile(\n loss = 'mean_squared_error',\n optimizer = 'adam'\n)\nsummary(model)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2026-03-11T06:24:23.671308Z","iopub.execute_input":"2026-03-11T06:24:23.672555Z","iopub.status.idle":"2026-03-11T06:24:42.870587Z","shell.execute_reply":"2026-03-11T06:24:42.869132Z"}},"outputs":[{"name":"stdout","text":"Model: \"sequential\"\n________________________________________________________________________________\n Layer (type) Output Shape Param # \n================================================================================\n gru (GRU) (None, 50) 7950 \n dense (Dense) (None, 1) 51 \n================================================================================\nTotal params: 8,001\nTrainable params: 8,001\nNon-trainable params: 0\n________________________________________________________________________________\n","output_type":"stream"}],"execution_count":3},{"cell_type":"code","source":"history <- model %>% fit(\n x_train, y_train,\n epochs = 100,\n batch_size = 1,\n validation_split = 0.2,\n verbose = 1\n)\nhistory","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2026-03-11T06:24:42.872696Z","iopub.execute_input":"2026-03-11T06:24:42.873869Z","iopub.status.idle":"2026-03-11T06:25:19.996693Z","shell.execute_reply":"2026-03-11T06:25:19.995218Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"\nFinal epoch (plot to see history):\n loss: 0.05499\nval_loss: 0.04849 "},"metadata":{}}],"execution_count":4},{"cell_type":"code","source":"predictions <- model %>% predict(x_train)\n\n# Plot predictions\nplot(data, type = 'l', col = 'blue', main = 'GRU Predictions')\nlines(c(NA, as.numeric(predictions)), col = 'red')\nlegend('topright', legend = c('True', 'Predicted'), col = c('blue', 'red'), lty = 1)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2026-03-11T06:25:19.998868Z","iopub.execute_input":"2026-03-11T06:25:20.000049Z","iopub.status.idle":"2026-03-11T06:25:20.804993Z","shell.execute_reply":"2026-03-11T06:25:20.802711Z"}},"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAABmJLR0QA/wD/AP+gvaeTAAAg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\nTzvXsFl59cqWB9xqga0B3ca8xm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DdnK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\nf2JggP0TVhjsiAhKJYaHDf+tHxERgf5+9PU5pyaaOmo1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gjN2RC6N59gRkbWIiLFdDOvnh1Wr8Pnn6O+f9prc24ULqKoyW4cdHERRkbDh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\nrkJggg=="},"metadata":{"image/png":{"width":420,"height":420}}}],"execution_count":5},{"cell_type":"code","source":"","metadata":{"trusted":true},"outputs":[],"execution_count":null},{"cell_type":"code","source":"","metadata":{"trusted":true},"outputs":[],"execution_count":null}]}