diff --git "a/docs/notebooks/ex11c - simple RNN on sine function.ipynb" "b/docs/notebooks/ex11c - simple RNN on sine function.ipynb" new file mode 100644--- /dev/null +++ "b/docs/notebooks/ex11c - simple RNN on sine function.ipynb" @@ -0,0 +1,513 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "toc_visible": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "## Recurrent Neural Network\n", + "\n", + "

\n", + " \n", + "

\n", + "\n", + "A simple recurrent neural network (RNN) is a type of neural network architecture designed to process sequential data by maintaining an internal state or memory. It is a form of recurrent neural network where the output at each time step is fed back as input to the network at the next time step.\n", + "\n", + "In a simple RNN, the hidden state at each time step is computed based on the current input and the previous hidden state. This hidden state serves as the memory that retains information from previous time steps and influences the current prediction. The output at each time step is typically derived from the hidden state.\n", + "\n", + "Mathematically, the hidden state at time step t in a simple RNN can be represented as:\n", + "\n", + "$$h(t) = f(W * x(t) + U * h(t-1) + b)$$\n", + "\n", + "where:\n", + "- $h(t)$ is the hidden state at time step t.\n", + "- $x(t)$ is the input at time step t.\n", + "- $W$, $U$, and $b$ are learnable parameters (weight matrices and bias vector).\n", + "- f is an activation function, often a non-linear function like the hyperbolic tangent (tanh) or sigmoid function.\n", + "\n", + "The output at each time step can be computed based on the hidden state or can be passed through additional layers for further processing.\n", + "\n", + "Simple RNNs are useful for modeling sequential data where the current state depends on the previous states and have been employed in various applications such as natural language processing, speech recognition, and time series analysis. However, they suffer from the vanishing gradient problem, limiting their ability to capture long-term dependencies. This limitation led to the development of more advanced RNN variants like the long short-term memory (LSTM) and gated recurrent unit (GRU), which alleviate the vanishing gradient problem and enable better modeling of long sequences." + ], + "metadata": { + "id": "UpDd0H8rUAn_" + } + }, + { + "cell_type": "markdown", + "source": [ + "An example of how you can use NumPy to create a sine function, add noise, and then use TensorFlow to build a simple RNN model to fit the data.\n", + "\n", + "```python\n", + "import numpy as np\n", + "import tensorflow as tf\n", + "from tensorflow.keras.models import Sequential\n", + "from tensorflow.keras.layers import SimpleRNN, Dense\n", + "\n", + "# Generate input data\n", + "np.random.seed(42)\n", + "t = np.linspace(0, 10, 1000) # Time steps\n", + "X = np.sin(t) # Sine function\n", + "\n", + "# Add noise to X\n", + "noise = np.random.normal(0, 0.1, size=X.shape)\n", + "Y = 2 * X + noise\n", + "\n", + "# Reshape the data for input to the RNN\n", + "X = X.reshape(-1, 1, 1) # (samples, timesteps, features)\n", + "Y = Y.reshape(-1, 1)\n", + "\n", + "# Build the RNN model\n", + "model = Sequential()\n", + "model.add(SimpleRNN(10, input_shape=(1, 1))) # 10 units in the RNN layer\n", + "model.add(Dense(1))\n", + "\n", + "# Compile the model\n", + "model.compile(loss='mean_squared_error', optimizer='adam')\n", + "\n", + "# Fit the model on X and Y\n", + "model.fit(X, Y, epochs=10, batch_size=32)\n", + "```\n", + "\n", + "In this example, we first create the sine function `X` using NumPy's `sin` function. We then add some Gaussian noise to it to generate the target `Y`. The data is reshaped to the required format for the input to the RNN layer.\n", + "\n", + "We then build a sequential model in TensorFlow and add a `SimpleRNN` layer with 10 units, followed by a dense layer with a single output. The model is compiled with the mean squared error loss and the Adam optimizer.\n", + "\n", + "Finally, we fit the model on the input `X` and target `Y` using a batch size of 32 and train it for 10 epochs. Feel free to adjust the hyperparameters and network architecture according to your requirements." + ], + "metadata": { + "id": "8glLnDCSTZJN" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Imports" + ], + "metadata": { + "id": "FbRZyUQkURJQ" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import tensorflow as tf\n", + "from tensorflow.keras.models import Sequential\n", + "from tensorflow.keras.layers import SimpleRNN, Dense" + ], + "metadata": { + "id": "nqsor4M6TKQx" + }, + "execution_count": 1, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## Generate Toy Data\n", + "\n", + "We generate toy data for simple demonstration." + ], + "metadata": { + "id": "BUWgRrA5UXuB" + } + }, + { + "cell_type": "code", + "source": [ + "# Generate input data\n", + "np.random.seed(42)\n", + "t = np.linspace(0, 10, 1000) # Time steps\n", + "X = np.sin(t) # Sine function" + ], + "metadata": { + "id": "y0EOM1xcTOti" + }, + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt" + ], + "metadata": { + "id": "XWt-_OIdTc--" + }, + "execution_count": 3, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plt.plot(t, X.reshape(1000, 1))\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 430 + }, + "id": "p0N2B04DTfer", + "outputId": "05b8d7bc-7b08-42eb-e19a-229b987500fb" + }, + "execution_count": 4, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Add noise to X\n", + "noise = np.random.normal(0, 0.1, size=X.shape)\n", + "Y = 2 * X + noise" + ], + "metadata": { + "id": "S6g3F7Q4TQTS" + }, + "execution_count": 5, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Visualization: Feature and Ground Truth" + ], + "metadata": { + "id": "F_dD-WaRUe7x" + } + }, + { + "cell_type": "code", + "source": [ + "plt.plot(t, X.reshape(1000, 1))\n", + "plt.plot(t, Y.reshape(1000, 1))\n", + "plt.legend(['feature', 'ground truth'])\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 430 + }, + "id": "OyY1rKSmToY1", + "outputId": "38c9a0a7-4cc9-4e05-b1df-0df797998185" + }, + "execution_count": 6, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Reshape Data for RNN Model" + ], + "metadata": { + "id": "A-pYg2V5Uiev" + } + }, + { + "cell_type": "code", + "source": [ + "# Reshape the data for input to the RNN\n", + "X = X.reshape(-1, 1, 1) # (samples, timesteps, features)\n", + "Y = Y.reshape(-1, 1)" + ], + "metadata": { + "id": "Fw0J4bJETSmc" + }, + "execution_count": 7, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "benchmark_model = Sequential()\n", + "benchmark_model.add(tf.keras.layers.Flatten())\n", + "benchmark_model.add(Dense(1))\n", + "\n", + "benchmark_model.compile(loss='mean_squared_error', optimizer='adam')\n", + "benchmark_model.fit(X, Y, epochs=10, batch_size=32)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "yRE8XgS4U35P", + "outputId": "878e5018-9669-4607-9d08-855fcc5c2690" + }, + "execution_count": 8, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch 1/10\n", + "32/32 [==============================] - 2s 4ms/step - loss: 0.7655\n", + "Epoch 2/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.7180\n", + "Epoch 3/10\n", + "32/32 [==============================] - 0s 2ms/step - loss: 0.6741\n", + "Epoch 4/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.6345\n", + "Epoch 5/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.5979\n", + "Epoch 6/10\n", + "32/32 [==============================] - 0s 2ms/step - loss: 0.5643\n", + "Epoch 7/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.5326\n", + "Epoch 8/10\n", + "32/32 [==============================] - 0s 4ms/step - loss: 0.5041\n", + "Epoch 9/10\n", + "32/32 [==============================] - 0s 5ms/step - loss: 0.4770\n", + "Epoch 10/10\n", + "32/32 [==============================] - 0s 4ms/step - loss: 0.4517\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "source": [ + "y_pred_before = benchmark_model.predict(X)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "qWmBPkVHVGRI", + "outputId": "df60dba3-4702-4d29-fb36-6ce5a281f543" + }, + "execution_count": 9, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "32/32 [==============================] - 0s 3ms/step\n" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "plt.plot(t, X.reshape(1000, 1))\n", + "plt.plot(t, Y.reshape(1000, 1))\n", + "plt.plot(t, y_pred_before)\n", + "plt.legend(['feature', 'ground truth', 'prediction (no RNN)'])\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 430 + }, + "id": "4vPVdDOkVIym", + "outputId": "ab7c4a5d-1152-4eec-f264-c828d6919810" + }, + "execution_count": 10, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Model Construction and Training" + ], + "metadata": { + "id": "FvFzAx9TUkax" + } + }, + { + "cell_type": "code", + "source": [ + "# Build the RNN model\n", + "model = Sequential()\n", + "model.add(SimpleRNN(10, input_shape=(1, 1))) # 10 units in the RNN layer\n", + "model.add(Dense(1))\n", + "\n", + "# Compile the model\n", + "model.compile(loss='mean_squared_error', optimizer='adam')\n", + "\n", + "# Fit the model on X and Y\n", + "model.fit(X, Y, epochs=10, batch_size=32)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "KYz7g7S5TTjW", + "outputId": "38a4f255-0ad8-4af4-de62-34601779ba6e" + }, + "execution_count": 11, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Epoch 1/10\n", + "32/32 [==============================] - 3s 4ms/step - loss: 1.1159\n", + "Epoch 2/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.8126\n", + "Epoch 3/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.5935\n", + "Epoch 4/10\n", + "32/32 [==============================] - 0s 4ms/step - loss: 0.4294\n", + "Epoch 5/10\n", + "32/32 [==============================] - 0s 4ms/step - loss: 0.3016\n", + "Epoch 6/10\n", + "32/32 [==============================] - 0s 4ms/step - loss: 0.2040\n", + "Epoch 7/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.1336\n", + "Epoch 8/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.0846\n", + "Epoch 9/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.0534\n", + "Epoch 10/10\n", + "32/32 [==============================] - 0s 3ms/step - loss: 0.0345\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Inference" + ], + "metadata": { + "id": "czBTmAOxUnKs" + } + }, + { + "cell_type": "code", + "source": [ + "y_pred = model.predict(X)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "UnSg6kTJTWIO", + "outputId": "a3f52882-0001-4dd1-e912-8f2c0ad58ca3" + }, + "execution_count": 12, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "32/32 [==============================] - 0s 3ms/step\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Visualization: Feature, Ground Truth, and Prediction\n", + "\n", + "This is in-sample, but it's a good visualization of the power of a Recurrent Neural Network model. The purpose is to convery the sequential pattern to data scientists and this type of model can do the job better." + ], + "metadata": { + "id": "5BZfnBp_UoLk" + } + }, + { + "cell_type": "code", + "source": [ + "plt.plot(t, X.reshape(1000, 1))\n", + "plt.plot(t, Y.reshape(1000, 1))\n", + "plt.plot(t, y_pred_before)\n", + "plt.plot(t, y_pred.reshape(1000, 1))\n", + "plt.legend(['feature', 'ground truth','prediction (no RNN)', 'prediction (with RNN)'])\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 430 + }, + "id": "8BhRRwr5T3If", + "outputId": "cc59bf4d-3152-4de7-b315-c6c5255a6977" + }, + "execution_count": 13, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" 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