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@suyash
Created September 25, 2019 12:27
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Mixture Density Networks
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{
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"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
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"language_info": {
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"name": "ipython",
"version": 3
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.9"
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"colab": {
"name": "mixture_density_networks.ipynb",
"provenance": []
}
},
"cells": [
{
"cell_type": "code",
"metadata": {
"id": "82H1W1TPtWMf",
"colab_type": "code",
"outputId": "bcc823bf-fd2f-4041-b858-ba7a532ce1a4",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 645
}
},
"source": [
"!pip install tensorflow==2.0.0-rc2"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting tensorflow==2.0.0-rc2\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/46/b2/0a8f6f62cdd91c7d727efc717f339265ace99b36847f2bda7a9f2897cfee/tensorflow-2.0.0rc2-cp36-cp36m-manylinux2010_x86_64.whl (86.3MB)\n",
"\u001b[K |████████████████████████████████| 86.3MB 68.9MB/s \n",
"\u001b[?25hRequirement already satisfied: keras-preprocessing>=1.0.5 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (1.1.0)\n",
"Requirement already satisfied: keras-applications>=1.0.8 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (1.0.8)\n",
"Requirement already satisfied: gast==0.2.2 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (0.2.2)\n",
"Requirement already satisfied: grpcio>=1.8.6 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (1.15.0)\n",
"Collecting tensorboard<2.1.0,>=2.0.0 (from tensorflow==2.0.0-rc2)\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/9b/a6/e8ffa4e2ddb216449d34cfcb825ebb38206bee5c4553d69e7bc8bc2c5d64/tensorboard-2.0.0-py3-none-any.whl (3.8MB)\n",
"\u001b[K |████████████████████████████████| 3.8MB 38.3MB/s \n",
"\u001b[?25hRequirement already satisfied: six>=1.10.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (1.12.0)\n",
"Collecting tf-estimator-nightly<1.14.0.dev2019080602,>=1.14.0.dev2019080601 (from tensorflow==2.0.0-rc2)\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/21/28/f2a27a62943d5f041e4a6fd404b2d21cb7c59b2242a4e73b03d9ba166552/tf_estimator_nightly-1.14.0.dev2019080601-py2.py3-none-any.whl (501kB)\n",
"\u001b[K |████████████████████████████████| 501kB 39.5MB/s \n",
"\u001b[?25hRequirement already satisfied: termcolor>=1.1.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (1.1.0)\n",
"Requirement already satisfied: numpy<2.0,>=1.16.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (1.16.5)\n",
"Requirement already satisfied: absl-py>=0.7.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (0.8.0)\n",
"Requirement already satisfied: opt-einsum>=2.3.2 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (3.0.1)\n",
"Requirement already satisfied: protobuf>=3.6.1 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (3.7.1)\n",
"Requirement already satisfied: google-pasta>=0.1.6 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (0.1.7)\n",
"Requirement already satisfied: astor>=0.6.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (0.8.0)\n",
"Requirement already satisfied: wrapt>=1.11.1 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (1.11.2)\n",
"Requirement already satisfied: wheel>=0.26 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0-rc2) (0.33.6)\n",
"Requirement already satisfied: h5py in /usr/local/lib/python3.6/dist-packages (from keras-applications>=1.0.8->tensorflow==2.0.0-rc2) (2.8.0)\n",
"Requirement already satisfied: werkzeug>=0.11.15 in /usr/local/lib/python3.6/dist-packages (from tensorboard<2.1.0,>=2.0.0->tensorflow==2.0.0-rc2) (0.15.6)\n",
"Requirement already satisfied: markdown>=2.6.8 in /usr/local/lib/python3.6/dist-packages (from tensorboard<2.1.0,>=2.0.0->tensorflow==2.0.0-rc2) (3.1.1)\n",
"Requirement already satisfied: setuptools>=41.0.0 in /usr/local/lib/python3.6/dist-packages (from tensorboard<2.1.0,>=2.0.0->tensorflow==2.0.0-rc2) (41.2.0)\n",
"Installing collected packages: tensorboard, tf-estimator-nightly, tensorflow\n",
" Found existing installation: tensorboard 1.14.0\n",
" Uninstalling tensorboard-1.14.0:\n",
" Successfully uninstalled tensorboard-1.14.0\n",
" Found existing installation: tensorflow 1.14.0\n",
" Uninstalling tensorflow-1.14.0:\n",
" Successfully uninstalled tensorflow-1.14.0\n",
"Successfully installed tensorboard-2.0.0 tensorflow-2.0.0rc2 tf-estimator-nightly-1.14.0.dev2019080601\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Dn80uYLRsQk2",
"colab_type": "text"
},
"source": [
"## Mixture Density Networks\n",
"\n",
"This reproduces David Ha's blogpost in TensorFlow 2\n",
"\n",
"http://blog.otoro.net/2015/11/24/mixture-density-networks-with-tensorflow/"
]
},
{
"cell_type": "code",
"metadata": {
"id": "yDUGpMNMsQk7",
"colab_type": "code",
"colab": {}
},
"source": [
"import math\n",
"\n",
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"import tensorflow as tf\n",
"from tensorflow.keras import Model\n",
"from tensorflow.keras.layers import Concatenate, Dense, Input, Lambda"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "1jLvwFtqsQlJ",
"colab_type": "code",
"outputId": "0abc0aa8-2a62-4e74-8974-83c675f99f02",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"np.__version__"
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"'1.16.5'"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Gen3hBsIsQlR",
"colab_type": "code",
"outputId": "a6199064-837d-4953-f1ba-654c30f53407",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"tf.__version__"
],
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"'2.0.0-rc2'"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "iCqn_JxwsQlW",
"colab_type": "code",
"colab": {}
},
"source": [
"NSAMPLE = 1000\n",
"NHIDDEN = 20"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "IqSCZ3b6sQlb",
"colab_type": "text"
},
"source": [
"$$y = 7sin(0.75x) + 0.5x + \\epsilon$$"
]
},
{
"cell_type": "code",
"metadata": {
"id": "sDUPchY4sQld",
"colab_type": "code",
"colab": {}
},
"source": [
"x = 2 * math.pi * np.random.uniform(-1.5, 1.5, (NSAMPLE, 1)).astype(np.float32)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "L7S-T7nYsQlh",
"colab_type": "code",
"colab": {}
},
"source": [
"r = np.random.normal(size=(NSAMPLE, 1)).astype(np.float32)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "1qxoukKnsQlm",
"colab_type": "code",
"colab": {}
},
"source": [
"y = (7.0 * np.sin(0.75 * x) + 0.5 * x + r).astype(np.float32)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Bfa49_91sQlq",
"colab_type": "code",
"outputId": "84aacdb2-7a71-4b68-e4b2-d4defa413539",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 503
}
},
"source": [
"plt.figure(figsize=(8, 8))\n",
"plt.plot(x, y, \"ro\", alpha=0.3)"
],
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa863bf2a90>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 9
},
{
"output_type": "display_data",
"data": {
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H2tpgMSW6M1MNdUhso8otS7MDUVpYUIDfLRac+zVrZNhEp5PbWGEzDKMfXC60G332WUxQ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\nTb4QAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "A1QTCY2lsQlx",
"colab_type": "code",
"colab": {}
},
"source": [
"def create_model(h):\n",
" x = inp = Input((1,))\n",
" x = Dense(h, activation=\"tanh\")(x)\n",
" x = Dense(1, activation=None)(x)\n",
" return Model(inp, x)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "I8dsXZg7sQl1",
"colab_type": "code",
"colab": {}
},
"source": [
"model = create_model(NHIDDEN)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "qVdxAWa-sQl6",
"colab_type": "code",
"colab": {}
},
"source": [
"model.compile(optimizer=\"rmsprop\", loss=\"mse\")"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "EsZIvKIPsQl-",
"colab_type": "code",
"colab": {}
},
"source": [
"hist = model.fit(x, y, epochs=1500, verbose=0)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "u3OrcRAusQmD",
"colab_type": "code",
"outputId": "d0664ac7-f02b-4bd5-9992-c4118c3ff059",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
}
},
"source": [
"plt.xlabel(\"epoch\")\n",
"plt.ylabel(\"loss\")\n",
"plt.plot(hist.history[\"loss\"])"
],
"execution_count": 14,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa859517c18>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 14
},
{
"output_type": "display_data",
"data": {
"image/png": 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ORaJnTPR8oIwdIdHzQeJnTPR8reoSl6oUEZH40SkmRERSXFIXQSKcysLM+pvZ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\nQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "oU3iMUhAsQmG",
"colab_type": "code",
"colab": {}
},
"source": [
"x_test = 2 * math.pi * np.arange(-1.5, 1.5, 0.01)\n",
"x_test = x_test.reshape(x_test.size, 1)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "fa9jdm74sQmK",
"colab_type": "code",
"colab": {}
},
"source": [
"y_pred = model.predict(x_test)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "wMnJftCwsQmN",
"colab_type": "code",
"outputId": "cdb40cb5-d008-466b-cc14-8dfddb3e8f8d",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 521
}
},
"source": [
"plt.figure(figsize=(8, 8))\n",
"plt.plot(x, y, \"ro\", x_test, y_pred, \"bo\", alpha=0.3)"
],
"execution_count": 17,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa855414550>,\n",
" <matplotlib.lines.Line2D at 0x7fa855414668>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 17
},
{
"output_type": "display_data",
"data": {
"image/png": 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NblldjCUbWWe5hd81w6jFoMvRQP9+/+0/V5aVvHhRWrcuXZJhDFu2zA0NuRc1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\nGVmRLS1SVDM9LdrOg4OyYG/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ymxXRk+npuRasb3yDw38dYCZlJxKx4JiZwJKroy1QYjLR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\nRVEURckBVGAriqIoSg7w/wH7WiEoNL0KXAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6d0Zuz97sQmR",
"colab_type": "text"
},
"source": [
"Now, Invert the data, so that\n",
"\n",
"$x = 7sin(0.75y) + 0.5y + \\epsilon$"
]
},
{
"cell_type": "code",
"metadata": {
"id": "cvoJPf6NsQmT",
"colab_type": "code",
"colab": {}
},
"source": [
"x, y = y, x"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "PKJwIG1_sQmW",
"colab_type": "code",
"outputId": "0a34381d-42a5-4296-b958-187e2a8b10ae",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 503
}
},
"source": [
"plt.figure(figsize=(8, 8))\n",
"plt.plot(x, y, \"ro\", alpha=0.3)"
],
"execution_count": 19,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa8553ec860>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 19
},
{
"output_type": "display_data",
"data": {
"image/png": 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p//Jf3nnmutrQeL30Ong8DC10d8uUM0EQbBFRF+Y3k9WQW93z0SiFr7CQn//g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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "5G8Wx8V4sQma",
"colab_type": "code",
"colab": {}
},
"source": [
"model = create_model(NHIDDEN)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "vLmjtAxmsQmd",
"colab_type": "code",
"colab": {}
},
"source": [
"model.compile(optimizer=\"sgd\", loss=\"mse\")"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Mt7oOlcAsQmg",
"colab_type": "code",
"colab": {}
},
"source": [
"hist = model.fit(x, y, epochs=1500, verbose=0)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "GWTxTCmMsQmk",
"colab_type": "code",
"outputId": "f2b0c892-b28c-4eea-a161-660bf6f52002",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
}
},
"source": [
"plt.xlabel(\"epoch\")\n",
"plt.ylabel(\"loss\")\n",
"plt.plot(hist.history[\"loss\"])"
],
"execution_count": 23,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa8547e61d0>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 23
},
{
"output_type": "display_data",
"data": {
"image/png": 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LN1X73PU79nHHG/NZv2Mfzjn63/Euh/zuvXBKjXcXbGD+2p0AvFkqqR54tQSA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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "GVCL4iGHsQmo",
"colab_type": "code",
"colab": {}
},
"source": [
"x_test = np.arange(-10, 10, 0.1)\n",
"x_test = x_test.reshape(x_test.size, 1)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "CZJHf5snsQmr",
"colab_type": "code",
"colab": {}
},
"source": [
"y_pred = model.predict(x_test)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "n1HkMQH5sQmu",
"colab_type": "code",
"outputId": "ee072d4c-0bf5-4ef3-f296-3f25b0bf7e81",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 521
}
},
"source": [
"plt.figure(figsize=(8, 8))\n",
"plt.plot(x, y, \"ro\", x_test, y_pred, \"bo\", alpha=0.3)"
],
"execution_count": 26,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa8594b7908>,\n",
" <matplotlib.lines.Line2D at 0x7fa8594b76d8>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 26
},
{
"output_type": "display_data",
"data": {
"image/png": 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XN/1vmQe5g4YgTML16/yz7uzk+ry+Xuea7tz5YK93RdSFxU1qmRpwv6Xt93OJ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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "FP0MocR4sQmz",
"colab_type": "text"
},
"source": [
"The fundamental limitation is predicting only one value for an input, instead of a distribution"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "DU2kMCh7sQm0",
"colab_type": "text"
},
"source": [
"__Mixture Density Networks(MDNs)__ attempt to predict a probability distribution, instead of a single value for an input.\n",
"\n",
"For each input $x$, we predict a pdf $P(Y=y|X=x)$\n",
"\n",
"$$P(Y=y|X=x) = \\sum_{k=0}^{k=K-1} \\Pi_k(x) \\phi(y, \\mu_k(x), \\sigma_k(x))$$\n",
"\n",
"where\n",
"\n",
"$$\\sum_{k=0}^{k=K - 1}\\Pi_k(x) = 1$$\n",
"\n",
"- $\\Pi$, $\\phi$ and $\\mu$ for each $k$ will be predicted using a model\n",
"- $\\Pi$ add to 1 to ensure that the PDF aggregates to 100%\n",
"- $\\sigma_k$ must be strictly positive"
]
},
{
"cell_type": "code",
"metadata": {
"id": "GKb9yrp0sQnE",
"colab_type": "code",
"colab": {}
},
"source": [
"NSAMPLE = 2500\n",
"NHIDDEN = 24\n",
"NMIXTURES = 24"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "He_9m2oSsQnH",
"colab_type": "code",
"colab": {}
},
"source": [
"y = 2 * math.pi * np.random.uniform(-1.5, 1.5, (NSAMPLE, 1)).astype(np.float32)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "4bpCufszsQnJ",
"colab_type": "code",
"colab": {}
},
"source": [
"r = np.random.normal(size=(NSAMPLE, 1)).astype(np.float32)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "p0ypfU6ssQnM",
"colab_type": "code",
"colab": {}
},
"source": [
"x = (7.0 * np.sin(0.75 * y) + 0.5 * y + r).astype(np.float32)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "i_n1fh42sQnO",
"colab_type": "code",
"outputId": "1c387a01-375c-4562-c93b-4f4ffc6b47d7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 503
}
},
"source": [
"plt.figure(figsize=(8, 8))\n",
"plt.plot(x, y, \"ro\", alpha=0.3)"
],
"execution_count": 31,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa8645c4668>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 31
},
{
"output_type": "display_data",
"data": {
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Euzkc5nXHDuZIJDj7XrOGz0NDbBwmJhDCcJgUtJMniQrPZhk3OIiAmnPpiQlE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HJdretMhmsifFdbC2lOTXGg+Ou/hnD37SN7fnKSQ0U+zz0eD33I33sP69tx2IvPhwDMyZMmXCDC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\nAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "k8nXzYvFsQm3",
"colab_type": "text"
},
"source": [
"$$Z = W_otanh(W_hX + b_h) + b_o$$\n",
"\n",
"Z will have `NMIXTURES` * 3 values\n",
"\n",
"$$\\Pi_k = \\frac{exp(Z_k)}{\\sum_{i=0}^{23}exp(Z_i)}$$\n",
"\n",
"$$\\sigma = exp(Z_{24-48})$$\n",
"\n",
"$$\\mu = Z_{48-71}$$\n",
"\n",
"Least squares is inadequate, a better idea is to minimize the log likelihood of the distribution\n",
"\n",
"$$Cost(y|x) = -log[\\sum_k^K \\Pi_k(x)\\phi(y, \\mu(x), \\sigma(x))]$$\n",
"\n",
"- The softmax ensures that $\\Pi$ add to 1\n",
"- The `exp` ensures that the value is positive\n",
"- __NOTE:__ `tf.math.softmax` is used to calculate softmax, with the idea that it will take care of exploding `exp` problem"
]
},
{
"cell_type": "code",
"metadata": {
"id": "rrA65oYm1oA0",
"colab_type": "code",
"colab": {}
},
"source": [
"def extract_mixture_coef(t):\n",
" a, b, c = t[:, :24], t[:, 24:48], t[:, 48:]\n",
" a = tf.math.softmax(a)\n",
" b = tf.math.exp(b)\n",
" return a, b, c\n",
"\n",
"def create_model():\n",
" \"\"\"\n",
" NOTE: the outputs are concatenated and then split again when calculating loss\n",
" because keras seems to expect multiple loss calculations for multiple outputs\n",
" instead of passing them as y_pred in a single loss function\n",
" \"\"\"\n",
" NOUT = NMIXTURES * 3\n",
" x = inp = Input((1, ))\n",
" x = Dense(NHIDDEN, activation=\"tanh\")(x)\n",
" x = Dense(NOUT, activation=None)(x)\n",
" pi, sigma, mu = Lambda(extract_mixture_coef)(x)\n",
" x = Concatenate(-1)([pi, sigma, mu])\n",
" return Model(inputs=inp, outputs=x)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "zVg3oncssQnR",
"colab_type": "text"
},
"source": [
"$$PDF = \\frac{1}{\\sqrt{2\\pi\\sigma^2}}e^{-\\frac{(x - \\mu)^2}{2\\sigma^2}}$$"
]
},
{
"cell_type": "code",
"metadata": {
"id": "rRbzdQh3sQnS",
"colab_type": "code",
"colab": {}
},
"source": [
"class CustomLoss(tf.keras.losses.Loss):\n",
" def call(self, y_true, y_pred):\n",
" \"\"\"\n",
" y_true: ([None, 1])\n",
" y_pred: ([None, 72])\n",
" \"\"\"\n",
" pi_pred, sigma_pred, mu_pred = y_pred[:, :24], y_pred[:, 24:48], y_pred[:, 48:]\n",
" x = self.normal(y_true, mu_pred, sigma_pred)\n",
" x = x * pi_pred\n",
" x = tf.reduce_sum(x, axis=-1)\n",
" x = -tf.math.log(x)\n",
" return x\n",
" \n",
" def normal(self, x, mu, sigma):\n",
" \"\"\"\n",
" https://www.tensorflow.org/probability/api_docs/python/tfp/distributions/Normal\n",
" should be used here, but problems with installation\n",
" \"\"\"\n",
" x = x - mu\n",
" x = x / sigma\n",
" x = -(x ** 2) / 2\n",
" return tf.math.exp(x) / (sigma * tf.sqrt(2 * math.pi))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "kGtSrwLZ2PKS",
"colab_type": "code",
"colab": {}
},
"source": [
"model = create_model()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "ZXY-vH4esQnU",
"colab_type": "code",
"colab": {}
},
"source": [
"model.compile(optimizer=\"sgd\", loss=CustomLoss())"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "0uHag57N16ad",
"colab_type": "code",
"outputId": "96eec5d1-85be-4a68-e58d-60a6309bc1ea",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 364
}
},
"source": [
"model.summary()"
],
"execution_count": 36,
"outputs": [
{
"output_type": "stream",
"text": [
"Model: \"model_2\"\n",
"__________________________________________________________________________________________________\n",
"Layer (type) Output Shape Param # Connected to \n",
"==================================================================================================\n",
"input_3 (InputLayer) [(None, 1)] 0 \n",
"__________________________________________________________________________________________________\n",
"dense_4 (Dense) (None, 24) 48 input_3[0][0] \n",
"__________________________________________________________________________________________________\n",
"dense_5 (Dense) (None, 72) 1800 dense_4[0][0] \n",
"__________________________________________________________________________________________________\n",
"lambda (Lambda) ((None, 24), (None, 0 dense_5[0][0] \n",
"__________________________________________________________________________________________________\n",
"concatenate (Concatenate) (None, 72) 0 lambda[0][0] \n",
" lambda[0][1] \n",
" lambda[0][2] \n",
"==================================================================================================\n",
"Total params: 1,848\n",
"Trainable params: 1,848\n",
"Non-trainable params: 0\n",
"__________________________________________________________________________________________________\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "GylfexGEsQnb",
"colab_type": "code",
"colab": {}
},
"source": [
"hist = model.fit(x, y, epochs=5000, verbose=0)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "UzCECbuf4LiV",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
},
"outputId": "ed69871e-5e09-43c7-e1d0-51f506df1eee"
},
"source": [
"plt.xlabel(\"epoch\")\n",
"plt.ylabel(\"loss\")\n",
"plt.plot(hist.history[\"loss\"])"
],
"execution_count": 38,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa85aa57d30>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 38
},
{
"output_type": "display_data",
"data": {
"image/png": 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J/B44NuKSQmVmFwB17r7KzJZEXc8Ieo+7bzez6cByM9vY88WR/t2Oy0hhOzC3\nx/M5wbpisjMYRhJ8rQvWF+r7mPqZmFmaXCDc6e73BquLus/d3L0BeBQ4ndx0QfeHuZ715/sWvD4J\n2M3Y6vMZwIVmtoXcFO/ZwA8o7j7j7tuDr3Xkwv9UIvzdjksoPAscHRzFUEJup9R9Edc03O4Duo84\nuAL4Y4/1Hw+OWjgNaAyGpQ8B55rZ5ODIhnODdaNOME98O7DB3b/b46Vi7nNVMELAzMqB95Pbl/Io\ncHHQrHefu38WFwMrPLcH8j7g0uBInSOAo4FnRqYXg+PuN7j7HHevJvd/dIW7/wtF3GczG29mE7qX\nyf1OvkCUv9tR73kfqQe5vfYvk5uX/UrU9RxiX34N7AA6yc0dXkVuLvUR4BXgYWBK0NaAnwT9fh6o\n6bGdT5LbCbcJ+ETU/TpIf99Dbt51HbAmeJxX5H0+EXgu6PMLwI3B+vnk/sBtAn4LlAbry4Lnm4LX\n5/fY1leCn8VLwAej7tsA+7+Efxx9VLR9Dvq2Nnis7/7bFOXvts5oFhGRvLhMH4mIyAAoFEREJE+h\nICIieQoFERHJUyiIiEieQkFkBJnZku6rf4qMRgoFERHJUyiI9MHMLrPc/QzWmNnPgovTNZvZ9yx3\nf4NHzKwqaLvIzJ4Orm//+x7Xvj/KzB623D0RVpvZkcHmK8zsHjPbaGZ3Ws+LOIlETKEg0ouZHQd8\nDDjD3RcBXcC/AOOBWndfCDwGfC34ll8CX3b3E8mdZdq9/k7gJ+5+EvBucmehQ+4qr9eSu+7/fHLX\n/BEZFXSVVJEDvQ84BXg2+BBfTu6CZFng7qDNr4B7zWwSUOnujwXrlwG/Da5nM9vdfw/g7m0Awfae\ncfc3gudrgGrgyfC7JdI/hYLIgQxY5u43vG2l2f/q1W6o14hp77Hchf4fyiii6SORAz0CXBxc3777\nfrnzyP1/6b5a5z8DT7p7I7DXzM4M1l8OPOa5O8S9YWYfCrZRambjRrQXIkOgTygivbj7i2b2VXJ3\nw0qQuxrtZ4EW4NTgtTpy+x0gd2njW4I/+puBTwTrLwd+ZmY3B9u4ZAS7ITIkukqqyACZWbO7V0Rd\nh0iYNH0kIiJ5GimIiEieRgoiIpKnUBARkTyFgoiI5CkUREQkT6EgIiJ5CgUREcn7/yIqljdu0T9o\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "IoighnCM7hbf",
"colab_type": "text"
},
"source": [
"__NOTE:__ There still does not seem to be a way to apply the gradient optimizations provided in the Bishop paper without implementing custom C++ ops. However, Swift seems to provide a way to specify a custom function for computing gradient. https://www.tensorflow.org/swift/tutorials/custom_differentiation\n",
"\n",
"PyTorch also allows putting in a custom autograd backward function https://pytorch.org/tutorials/beginner/examples_autograd/two_layer_net_custom_function.html\n",
"\n",
"For prediction, we select a distribution based on $\\Pi$ probabilities, then from each distribution, we sample points to produce ensembles."
]
},
{
"cell_type": "code",
"metadata": {
"id": "xfNaM8Kx8oQX",
"colab_type": "code",
"colab": {}
},
"source": [
"x_test = np.arange(-10, 10, 0.1).astype(np.float32)\n",
"x_test = np.expand_dims(x_test, -1)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "fhGQZ8TO4Kcy",
"colab_type": "code",
"colab": {}
},
"source": [
"y_pred = model.predict(x_test)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "NfNfQbru9gNC",
"colab_type": "code",
"colab": {}
},
"source": [
"pi_pred, sigma_pred, mu_pred = y_pred[:, :24], y_pred[:, 24:48], y_pred[:, 48:]"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Oehdkwmd9nF9",
"colab_type": "code",
"colab": {}
},
"source": [
"def generate_ensemble(pi, mu, sigma, M=10):\n",
" N = pi.shape[0]\n",
" result = np.zeros((N, M))\n",
" r = np.random.randn(N, M)\n",
"\n",
" for i in range(N):\n",
" for j in range(M):\n",
" p = np.random.choice(NMIXTURES, p=pi[i])\n",
" m = mu[i, p]\n",
" s = sigma[i, p]\n",
" result[i, j] = m + r[i, j] * s\n",
"\n",
" return result"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "w9bS2kKK91cp",
"colab_type": "code",
"colab": {}
},
"source": [
"res = generate_ensemble(pi_pred, mu_pred, sigma_pred)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "a11BDGDx_koj",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 677
},
"outputId": "7c17f658-2f32-4190-a315-dc37c1723480"
},
"source": [
"plt.figure(figsize=(8, 8))\n",
"plt.plot(x, y, \"ro\", x_test, res, \"bo\", alpha=0.3)"
],
"execution_count": 44,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa85a973160>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a973278>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a9735c0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a973710>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a973860>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a9739b0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a973b00>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a973c50>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a973da0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a973ef0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a978080>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 44
},
{
"output_type": "display_data",
"data": {
"image/png": 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31VSXv59tZVd6vmIRfvQjpy4rGnVyrdVyirAXD67zcmSEXHmCRG2WbC2MHrBI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kK69GWEhUGOFTlCSu8yxWWyNGgqWdLUaJJlE3OMUiZLDR2HScrcwZvsV06wS5wlq/eok6HvRhAK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\nAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "gEdhDXwz_lOL",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "8284f926-07f6-40ad-9cb7-63afdf77635e"
},
"source": [
"plt.figure(figsize=(8, 8))\n",
"plt.plot(x_test, mu_pred, \"ro\", x_test, res, \"bo\", alpha=0.3)"
],
"execution_count": 45,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa85a8da748>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8da860>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8da9b0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8dab00>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8dac50>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8dada0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8daef0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2080>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e21d0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2320>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2470>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e25c0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2710>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2860>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e29b0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2b00>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2c50>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2da0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e2ef0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e7080>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e71d0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e7320>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e7470>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e75c0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8e7710>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a88a860>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a88a9b0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a88ab00>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a88ac50>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a88ada0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a88aef0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a892080>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a8921d0>,\n",
" <matplotlib.lines.Line2D at 0x7fa85a892320>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 45
},
{
"output_type": "display_data",
"data": {
"image/png": 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UnD34tjgoezZx5NtdjCZ7SF3zeBxqTxa7Q3Fk6cqWfFKQoi6RfEJYa/LaWizD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HVsx2TeGOZPjd+igw8Niyg1dnCREFVKxPHQJkEZPwY7ucQhXqdGhH/kV/BgYuBliFXeYJYaURoE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0JoeG5M9uNNZb0hIJyWPdUouMXeDL23+wTqiZjCSzZJKv/XCSXE6glpZh82ZePJGgS4iflTZw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\nRK5CYII=\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "D-1c89UcBfcQ",
"colab_type": "code",
"colab": {}
},
"source": [
"x_ = np.arange(-10, 10, 0.1).astype(np.float32)\n",
"y_ = np.arange(-10, 10, 0.1).astype(np.float32)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "_6qucrfiCRjp",
"colab_type": "code",
"colab": {}
},
"source": [
"def normal(x, mu, sigma):\n",
" x = x - mu\n",
" x = x / sigma\n",
" x = -(x ** 2) / 2\n",
" return np.exp(x) / (sigma * np.sqrt(2 * math.pi))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "yZtMCcdLC9gE",
"colab_type": "code",
"colab": {}
},
"source": [
"def generate_heatmap(pi, mu, sigma, x, y):\n",
" N = x.size\n",
" M = y.size\n",
"\n",
" z = np.zeros((M, N))\n",
"\n",
" for k in range(NMIXTURES):\n",
" for i in range(N):\n",
" m = mu[i, k]\n",
" s = sigma[i, k]\n",
" p = pi[i, k]\n",
"\n",
" for j in range(M):\n",
" z[M - 1 - j, i] += p * normal(y[j], m, s)\n",
"\n",
" return z"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "dlgq5FOpE4KG",
"colab_type": "code",
"colab": {}
},
"source": [
"h = generate_heatmap(pi_pred, mu_pred, sigma_pred, x_, y_)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "K0Df-cpdE-2g",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 486
},
"outputId": "b0921f86-0fd9-4ca3-c1c2-e81708516503"
},
"source": [
"extent = [x_[0], x_[-1], y_[0], y_[-1]]\n",
"plt.figure(figsize=(8, 8))\n",
"plt.imshow(h, extent=extent)\n",
"plt.show()"
],
"execution_count": 50,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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mM+qNZXD3s7Fj5jZC5nbaDGRwM+5MyI2GRk0IIYRMGP5QE0IIIROGU99kN356OU55j/Rv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\nb+vWt4LMWdlhbXK2ZDNhf00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105YJIWQQGjUhhBAyYU7TqBtBOl/2jNeOAcjHkh2zU8yO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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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