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CTLEModeling.ipynb
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CTLEModeling.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# **Use ML techniques for SERDES CTLE modeling for IBIS-AMI simulation** \n",
"## Table of contents: \n",
"### 1.**[Motivation](#Motivation)** <a href='#Motivation'>...</a>\n",
"### 2.**[Problem Statements](#Problem Statements)** <a href='#Problem_Statements'>...</a>\n",
"### 3.**[Generate Data](#Generate Data)** <a href='#Generate_Data'>...</a>\n",
"### 4.**[Prepare Data](#Prepare Data)** <a href='#Prepare_Data'>...</a>\n",
"### 5.**[Choose a Model](#Choose a Model)** <a href='#Choose_a_Model'>...</a>\n",
"### 6.**[Training](#Training)** <a href='#Training'>...</a>\n",
"### 7.**[Prediction](#Prediction)** <a href='#Prediction'>...</a>\n",
"### 8.**[Reverse Direction](#Reverse Direction)** <a href='#Reverse_Direction'>...</a>\n",
"### 9.**[Deployment](#Deployment)** <a href='#Deployment'>...</a>\n",
"### 10.**[Conclusion](#Conclusion)** <a href='#Conclusion'>...</a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Motivation:**<a id = 'Motivation'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One of SPISim's main service is IBIS-AMI modeling and consulting. In most cases, this happens when IC companies is ready to release simulation model for their customers to do system design. We will then require data either from circuit simulation, lab measurements or data sheet spec. in order to create associated IBIS-AMI model.\n",
"Occasionally, we also receive request to provide AMI model for architecture planning purpose. In this situation, there is no data or spec. In stead, the client asks to input performance parameters dynamically (not as preset) so that they can evaluate performance at the architecture level before committing to a certain spec. and design accordingly. In such case, we may need to generate data dynamically based on user's input before it will be fed into existing IBIS-AMI models of same kind.\n",
"Continues linear equalizer, CTLE, is often used in modern SERDES or even DDR5 design. It is basically a filter in the frequency domain (FD) with various peaking and gain properties. As IBIS-AMI is simulated in the time domain (TD), the core implementations in the model is iFFT to convert into impulse response in TD.\n",
"![CtleFDTD](https://github.com/SPISim/ML_CtleModeling/blob/master/assets/images/CTLEFDTD.png?raw=true)\n",
"\n",
"In order to create such CTLE AMI model from user provided spec. on the fly, we would like to avoid time-consuming parameter sweep (in order to match the performance) during runtime of initial set-up call. Thus machine learning techniques may be applied to help use build a prediction model to map input attributes to associated CTLE design parameters so that its FD and TD response can be generated directly. After that, we can feed the data into existing CTLE C/C++ code blocks for channel simulation."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Problem Statement:**<a id = 'Problem_Statements'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We would like to build a prediction model such that when user provide a desired CTLE performance parameters, such as DC Gain, peaking frequency and peaking value, this model will map to corresponding CTLE design parameters such as pole and zero locations. Once this is mapped, CTLE frequency response will be generated followed by time-domain impulse response. The resulting IBIS-AMI CTLE model can be used for channel simulation for evaluating such CTLE block's impact in a system... before actual silicon design has been done."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Generate Data:**<a id = 'Generate_Data'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### **Overview** \n",
"The model to be build is for nominal (i.e. numerical) prediction for about three to six attributes, depending on the CTLE structure, from four input parameters, namely dc gain, peak frequency, peak value and bandwidth. We will sample the input space randomly (as full combinatorial is impractical) then perform measurement programmingly in order generate enough dataset for modeling purpose."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### **Defing CTLE equations**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will target the following two most common CTLE structures: \n",
"#### IEEE 802.3bs 200/400Gbe Chip-to-module (C2M) CTLE:\n",
"![C2M_CTLE](https://github.com/SPISim/ML_CtleModeling/blob/master/assets/images/C2M_CTLE.png?raw=true)\n",
"\n",
"#### IEEE 802.3bj Channel Operating Margin (COM) CTLE:\n",
"![COM_CTLE](https://github.com/SPISim/ML_CtleModeling/blob/master/assets/images/COM_CTLE.png?raw=true)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### **Define sampling points and attributes**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"All these pole and zeros values are continuous (numerical), so a sub-sampling from full solution space will be performed. Once frequency response corresponding to each set of configuration is generated, we will measure is dc gain, peak frequency and value, bandwidth (3dB loss from the peak), and frequencies when 10% and 50% gain between dc and peak values happened. The last two attributes will help us increasing the attributes available when creating the prediction model. \n",
"#### Attributes to be extracted:\n",
"![CTLEAttr](https://github.com/SPISim/ML_CtleModeling/blob/master/assets/images/CTLEAttr.png?raw=true)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### **Synthesize and measure data**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A python script (in order to be used with subsequent Q-learning w/ OpenAI later) has been written to synthesize these frequency response and perform measurement at the same time. \n",
"\n",
"#### Quantize and Sampling:\n",
"![Sampling](https://github.com/SPISim/ML_CtleModeling/blob/master/assets/images/CTLESamp.png?raw=true)\n",
"\n",
"#### Synthesize:\n",
"![Synthesize](https://github.com/SPISim/ML_CtleModeling/blob/master/assets/images/CTLEGen.png?raw=true)\n",
"\n",
"#### Measurement:\n",
"![Measurement](https://github.com/SPISim/ML_CtleModeling/blob/master/assets/images/CTLEMeas.png?raw=true) \n",
"\n",
"The end results after this data generation phase is a 100,000 points dataset for each of the two CTLE structures. We can now proceed for the prediction modeling."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Prepare Data:**<a id = 'Prepare_Data'></a>"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"## Using COM CTLE as an example below:\n",
"\n",
"# Environment Setup:\n",
"import os\n",
"import pandas as pd\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"prjHome = 'C:/Temp/WinProj/CTLEMdl'\n",
"workDir = prjHome + '/wsp/'\n",
"srcFile = prjHome + '/dat/COM_CTLEData.csv'\n",
"\n",
"def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n",
" path = os.path.join(workDir, fig_id + \".\" + fig_extension)\n",
" print(\"Saving figure\", fig_id)\n",
" if tight_layout:\n",
" plt.tight_layout()\n",
" plt.savefig(path, format=fig_extension, dpi=resolution)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 100000 entries, 0 to 99999\n",
"Data columns (total 11 columns):\n",
"ID 100000 non-null int64\n",
"Gdc 100000 non-null float64\n",
"P1 100000 non-null float64\n",
"P2 100000 non-null float64\n",
"Z1 100000 non-null float64\n",
"Gain 100000 non-null float64\n",
"PeakF 100000 non-null float64\n",
"PeakVal 100000 non-null float64\n",
"BandW 100000 non-null float64\n",
"Freq10 100000 non-null float64\n",
"Freq50 100000 non-null float64\n",
"dtypes: float64(10), int64(1)\n",
"memory usage: 8.4 MB\n"
]
},
{
"data": {
"text/html": [
"<div>\n",
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" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
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" vertical-align: top;\n",
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" .dataframe thead th {\n",
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>ID</th>\n",
" <th>Gdc</th>\n",
" <th>P1</th>\n",
" <th>P2</th>\n",
" <th>Z1</th>\n",
" <th>Gain</th>\n",
" <th>PeakF</th>\n",
" <th>PeakVal</th>\n",
" <th>BandW</th>\n",
" <th>Freq10</th>\n",
" <th>Freq50</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>100000.000000</td>\n",
" <td>100000.000000</td>\n",
" <td>1.000000e+05</td>\n",
" <td>1.000000e+05</td>\n",
" <td>1.000000e+05</td>\n",
" <td>100000.000000</td>\n",
" <td>1.000000e+05</td>\n",
" <td>100000.000000</td>\n",
" <td>1.000000e+05</td>\n",
" <td>1.000000e+05</td>\n",
" <td>1.000000e+05</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>49999.500000</td>\n",
" <td>0.574911</td>\n",
" <td>1.724742e+10</td>\n",
" <td>5.235940e+09</td>\n",
" <td>5.241625e+09</td>\n",
" <td>0.574911</td>\n",
" <td>3.428616e+09</td>\n",
" <td>2.374620</td>\n",
" <td>1.496343e+10</td>\n",
" <td>4.145855e+08</td>\n",
" <td>1.136585e+09</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>28867.657797</td>\n",
" <td>0.230302</td>\n",
" <td>4.323718e+09</td>\n",
" <td>2.593138e+09</td>\n",
" <td>2.589769e+09</td>\n",
" <td>0.230302</td>\n",
" <td>4.468393e+09</td>\n",
" <td>3.346094</td>\n",
" <td>1.048535e+10</td>\n",
" <td>5.330043e+08</td>\n",
" <td>1.446972e+09</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>0.000000</td>\n",
" <td>0.200000</td>\n",
" <td>1.000000e+10</td>\n",
" <td>1.000000e+09</td>\n",
" <td>1.000000e+09</td>\n",
" <td>0.200000</td>\n",
" <td>0.000000e+00</td>\n",
" <td>0.200000</td>\n",
" <td>9.965473e+08</td>\n",
" <td>0.000000e+00</td>\n",
" <td>-1.000000e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>24999.750000</td>\n",
" <td>0.350000</td>\n",
" <td>1.350000e+10</td>\n",
" <td>3.000000e+09</td>\n",
" <td>3.000000e+09</td>\n",
" <td>0.350000</td>\n",
" <td>0.000000e+00</td>\n",
" <td>0.500000</td>\n",
" <td>4.770445e+09</td>\n",
" <td>0.000000e+00</td>\n",
" <td>-1.000000e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>49999.500000</td>\n",
" <td>0.600000</td>\n",
" <td>1.700000e+10</td>\n",
" <td>5.000000e+09</td>\n",
" <td>5.000000e+09</td>\n",
" <td>0.600000</td>\n",
" <td>0.000000e+00</td>\n",
" <td>0.800000</td>\n",
" <td>1.410597e+10</td>\n",
" <td>0.000000e+00</td>\n",
" <td>-1.000000e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>74999.250000</td>\n",
" <td>0.750000</td>\n",
" <td>2.100000e+10</td>\n",
" <td>7.500000e+09</td>\n",
" <td>7.500000e+09</td>\n",
" <td>0.750000</td>\n",
" <td>7.557558e+09</td>\n",
" <td>2.710536</td>\n",
" <td>2.386211e+10</td>\n",
" <td>8.974728e+08</td>\n",
" <td>2.510339e+09</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>99999.000000</td>\n",
" <td>0.950000</td>\n",
" <td>2.450000e+10</td>\n",
" <td>9.500000e+09</td>\n",
" <td>9.500000e+09</td>\n",
" <td>0.950000</td>\n",
" <td>1.516517e+10</td>\n",
" <td>16.731528</td>\n",
" <td>3.965752e+10</td>\n",
" <td>1.768803e+09</td>\n",
" <td>4.678211e+09</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ID Gdc P1 P2 Z1 \\\n",
"count 100000.000000 100000.000000 1.000000e+05 1.000000e+05 1.000000e+05 \n",
"mean 49999.500000 0.574911 1.724742e+10 5.235940e+09 5.241625e+09 \n",
"std 28867.657797 0.230302 4.323718e+09 2.593138e+09 2.589769e+09 \n",
"min 0.000000 0.200000 1.000000e+10 1.000000e+09 1.000000e+09 \n",
"25% 24999.750000 0.350000 1.350000e+10 3.000000e+09 3.000000e+09 \n",
"50% 49999.500000 0.600000 1.700000e+10 5.000000e+09 5.000000e+09 \n",
"75% 74999.250000 0.750000 2.100000e+10 7.500000e+09 7.500000e+09 \n",
"max 99999.000000 0.950000 2.450000e+10 9.500000e+09 9.500000e+09 \n",
"\n",
" Gain PeakF PeakVal BandW Freq10 \\\n",
"count 100000.000000 1.000000e+05 100000.000000 1.000000e+05 1.000000e+05 \n",
"mean 0.574911 3.428616e+09 2.374620 1.496343e+10 4.145855e+08 \n",
"std 0.230302 4.468393e+09 3.346094 1.048535e+10 5.330043e+08 \n",
"min 0.200000 0.000000e+00 0.200000 9.965473e+08 0.000000e+00 \n",
"25% 0.350000 0.000000e+00 0.500000 4.770445e+09 0.000000e+00 \n",
"50% 0.600000 0.000000e+00 0.800000 1.410597e+10 0.000000e+00 \n",
"75% 0.750000 7.557558e+09 2.710536 2.386211e+10 8.974728e+08 \n",
"max 0.950000 1.516517e+10 16.731528 3.965752e+10 1.768803e+09 \n",
"\n",
" Freq50 \n",
"count 1.000000e+05 \n",
"mean 1.136585e+09 \n",
"std 1.446972e+09 \n",
"min -1.000000e+00 \n",
"25% -1.000000e+00 \n",
"50% -1.000000e+00 \n",
"75% 2.510339e+09 \n",
"max 4.678211e+09 "
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Read Data\n",
"srcData = pd.read_csv(srcFile)\n",
"srcData.head()\n",
"\n",
"# Info about the data\n",
"srcData.head()\n",
"srcData.info()\n",
"srcData.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Seems full justified! Let's plot some distribution..."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saving figure attribute_histogram_plots\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x242d6944400>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Drop the ID column\n",
"mdlData = srcData.drop(columns=['ID'])\n",
"\n",
"# plot distribution\n",
"mdlData.hist(bins=50, figsize=(20,15))\n",
"save_fig(\"attribute_histogram_plots\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are abnomal high peaks for Freq10, Freq50 and PeakF.\n",
"We need to plot the FD data to see what's going on...\n",
"\n",
"#### Error checking:\n",
"![NoPeaking](https://github.com/SPISim/ML_CtleModeling/blob/master/assets/images/CTLENoPeak.png?raw=true)\n",
"\n",
"Apparently, this is caused by CTLE without peaking. We can safely remove these data points as they will not be used in actual design."
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"Int64Index: 41588 entries, 1 to 99997\n",
"Data columns (total 10 columns):\n",
"Gdc 41588 non-null float64\n",
"P1 41588 non-null float64\n",
"P2 41588 non-null float64\n",
"Z1 41588 non-null float64\n",
"Gain 41588 non-null float64\n",
"PeakF 41588 non-null float64\n",
"PeakVal 41588 non-null float64\n",
"BandW 41588 non-null float64\n",
"Freq10 41588 non-null float64\n",
"Freq50 41588 non-null float64\n",
"dtypes: float64(10)\n",
"memory usage: 3.5 MB\n",
"Saving figure attribute_histogram_plots2\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x242ccf2fc50>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Drop those freq peak at the beginning (i.e. no peak)\n",
"mdlTemp = mdlData[(mdlData['PeakF'] > 100)]\n",
"mdlTemp.info()\n",
"\n",
"\n",
"# plot distribution again\n",
"mdlTemp.hist(bins=50, figsize=(20,15))\n",
"save_fig(\"attribute_histogram_plots2\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now the distribution seems good. We can proceed to separate variables (i.e. attributes) and targets"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"# take this as modeling data from this point\n",
"mdlData = mdlTemp\n",
"\n",
"varList = ['Gdc', 'P1', 'P2', 'Z1']\n",
"tarList = ['Gain', 'PeakF', 'PeakVal']\n",
"\n",
"varData = mdlData[varList]\n",
"tarData = mdlData[tarList]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Choose a Model:**<a id = 'Choose_a_Model'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will use Keras for the modeling framework. While it will call Tensorflow on our machine in this case, the GPU is only used for training purpose. We will use (shallow) neural network for modeling as we want to implement the resulting models in our IBIS-AMI model's C++ codes."
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"_________________________________________________________________\n",
"Layer (type) Output Shape Param # \n",
"=================================================================\n",
"dense_10 (Dense) (None, 64) 320 \n",
"_________________________________________________________________\n",
"dropout_7 (Dropout) (None, 64) 0 \n",
"_________________________________________________________________\n",
"dense_11 (Dense) (None, 64) 4160 \n",
"_________________________________________________________________\n",
"dropout_8 (Dropout) (None, 64) 0 \n",
"_________________________________________________________________\n",
"dense_12 (Dense) (None, 3) 195 \n",
"=================================================================\n",
"Total params: 4,675\n",
"Trainable params: 4,675\n",
"Non-trainable params: 0\n",
"_________________________________________________________________\n"
]
}
],
"source": [
"from keras.models import Sequential\n",
"from keras.layers import Dense, Dropout\n",
"\n",
"numVars = len(varList) # independent variables\n",
"numTars = len(tarList) # output targets\n",
"nnetMdl = Sequential()\n",
"# input layer\n",
"nnetMdl.add(Dense(units=64, activation='relu', input_dim=numVars))\n",
"\n",
"# hidden layers\n",
"nnetMdl.add(Dropout(0.3, noise_shape=None, seed=None))\n",
"nnetMdl.add(Dense(64, activation = \"relu\"))\n",
"nnetMdl.add(Dropout(0.2, noise_shape=None, seed=None))\n",
" \n",
"# output layer\n",
"nnetMdl.add(Dense(units=numTars, activation='sigmoid'))\n",
"nnetMdl.compile(loss='mean_squared_error', optimizer='adam')\n",
"\n",
"# Provide some info\n",
"#from keras.utils import plot_model\n",
"#plot_model(nnetMdl, to_file= workDir + 'model.png')\n",
"nnetMdl.summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Training:**<a id = 'Training'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will do the 20% training/testing split for the modeling.\n",
"Note that we need to scale the input attributes to be between 0~1 so that neuron's activation function can be used to differentiate and calculate weights. These scaler will be applied \"inversely\" when we predict the actual performance later on."
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.metrics import mean_squared_error\n",
"from sklearn.model_selection import train_test_split\n",
"\n",
"# Prepare Training (tran) and Validation (test) dataset\n",
"varTran, varTest, tarTran, tarTest = train_test_split(varData, tarData, test_size=0.2)\n",
"\n",
"# scale the data\n",
"from sklearn import preprocessing\n",
"varScal = preprocessing.MinMaxScaler()\n",
"varTran = varScal.fit_transform(varTran)\n",
"varTest = varScal.transform(varTest)\n",
"\n",
"tarScal = preprocessing.MinMaxScaler()\n",
"tarTran = tarScal.fit_transform(tarTran)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can do the model fit:"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Train on 29943 samples, validate on 3327 samples\n",
"Epoch 1/100\n",
"29943/29943 [==============================] - 0s 12us/step - loss: 0.0632 - val_loss: 0.0462\n",
"Epoch 2/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0394 - val_loss: 0.0218\n",
"Epoch 3/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0218 - val_loss: 0.0090\n",
"Epoch 4/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0134 - val_loss: 0.0046\n",
"Epoch 5/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0102 - val_loss: 0.0039\n",
"Epoch 6/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0090 - val_loss: 0.0036\n",
"Epoch 7/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0082 - val_loss: 0.0032\n",
"Epoch 8/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0075 - val_loss: 0.0030\n",
"Epoch 9/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0071 - val_loss: 0.0027\n",
"Epoch 10/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0067 - val_loss: 0.0025\n",
"Epoch 11/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0063 - val_loss: 0.0022\n",
"Epoch 12/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0059 - val_loss: 0.0020\n",
"Epoch 13/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0056 - val_loss: 0.0018\n",
"Epoch 14/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0053 - val_loss: 0.0017\n",
"Epoch 15/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0050 - val_loss: 0.0015\n",
"Epoch 16/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0048 - val_loss: 0.0014\n",
"Epoch 17/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0046 - val_loss: 0.0013\n",
"Epoch 18/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0045 - val_loss: 0.0012\n",
"Epoch 19/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0043 - val_loss: 0.0011\n",
"Epoch 20/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0042 - val_loss: 0.0011\n",
"Epoch 21/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0041 - val_loss: 9.9891e-04\n",
"Epoch 22/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0040 - val_loss: 9.5673e-04\n",
"Epoch 23/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0039 - val_loss: 9.1935e-04\n",
"Epoch 24/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0038 - val_loss: 8.7424e-04\n",
"Epoch 25/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0037 - val_loss: 8.3335e-04\n",
"Epoch 26/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0036 - val_loss: 8.0617e-04\n",
"Epoch 27/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0035 - val_loss: 7.7511e-04\n",
"Epoch 28/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0035 - val_loss: 7.6336e-04\n",
"Epoch 29/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0034 - val_loss: 7.4145e-04\n",
"Epoch 30/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0034 - val_loss: 7.1555e-04\n",
"Epoch 31/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0033 - val_loss: 6.8232e-04\n",
"Epoch 32/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0033 - val_loss: 6.8118e-04\n",
"Epoch 33/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0033 - val_loss: 6.5987e-04\n",
"Epoch 34/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0032 - val_loss: 6.5535e-04\n",
"Epoch 35/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0032 - val_loss: 6.4880e-04\n",
"Epoch 36/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0032 - val_loss: 6.2126e-04\n",
"Epoch 37/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0031 - val_loss: 6.1235e-04\n",
"Epoch 38/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0031 - val_loss: 6.0875e-04\n",
"Epoch 39/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0030 - val_loss: 5.8204e-04\n",
"Epoch 40/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0030 - val_loss: 5.8521e-04\n",
"Epoch 41/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0030 - val_loss: 5.8456e-04\n",
"Epoch 42/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0030 - val_loss: 5.5742e-04\n",
"Epoch 43/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0029 - val_loss: 5.5412e-04\n",
"Epoch 44/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0029 - val_loss: 5.5415e-04\n",
"Epoch 45/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0029 - val_loss: 5.3159e-04\n",
"Epoch 46/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0029 - val_loss: 5.2046e-04\n",
"Epoch 47/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0028 - val_loss: 5.1748e-04\n",
"Epoch 48/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0028 - val_loss: 5.1205e-04\n",
"Epoch 49/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0027 - val_loss: 5.0424e-04\n",
"Epoch 50/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0028 - val_loss: 4.9067e-04\n",
"Epoch 51/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0027 - val_loss: 4.7902e-04\n",
"Epoch 52/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0027 - val_loss: 4.7667e-04\n",
"Epoch 53/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0026 - val_loss: 4.6521e-04\n",
"Epoch 54/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0026 - val_loss: 4.6684e-04\n",
"Epoch 55/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0026 - val_loss: 4.7006e-04\n",
"Epoch 56/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0026 - val_loss: 4.5770e-04\n",
"Epoch 57/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0025 - val_loss: 4.3075e-04\n",
"Epoch 58/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0025 - val_loss: 4.3796e-04\n",
"Epoch 59/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0025 - val_loss: 4.3114e-04\n",
"Epoch 60/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0025 - val_loss: 4.1051e-04\n",
"Epoch 61/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0025 - val_loss: 4.0642e-04\n",
"Epoch 62/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0025 - val_loss: 4.1214e-04\n",
"Epoch 63/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0025 - val_loss: 3.9472e-04\n",
"Epoch 64/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0024 - val_loss: 3.9697e-04\n",
"Epoch 65/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0024 - val_loss: 3.8548e-04\n",
"Epoch 66/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0024 - val_loss: 3.9030e-04\n",
"Epoch 67/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0023 - val_loss: 3.7588e-04\n",
"Epoch 68/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0024 - val_loss: 3.6643e-04\n",
"Epoch 69/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0023 - val_loss: 3.6973e-04\n",
"Epoch 70/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0023 - val_loss: 3.6345e-04\n",
"Epoch 71/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0023 - val_loss: 3.5743e-04\n",
"Epoch 72/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0023 - val_loss: 3.5294e-04\n",
"Epoch 73/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0023 - val_loss: 3.6533e-04\n",
"Epoch 74/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0022 - val_loss: 3.5859e-04\n",
"Epoch 75/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0022 - val_loss: 3.3832e-04\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 76/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0022 - val_loss: 3.5197e-04\n",
"Epoch 77/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0022 - val_loss: 3.4445e-04\n",
"Epoch 78/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0022 - val_loss: 3.3888e-04\n",
"Epoch 79/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0022 - val_loss: 3.3597e-04\n",
"Epoch 80/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0022 - val_loss: 3.2317e-04\n",
"Epoch 81/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0021 - val_loss: 3.2205e-04\n",
"Epoch 82/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.4191e-04\n",
"Epoch 83/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.2288e-04\n",
"Epoch 84/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.1419e-04\n",
"Epoch 85/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.1307e-04\n",
"Epoch 86/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.1795e-04\n",
"Epoch 87/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.1200e-04\n",
"Epoch 88/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.0641e-04\n",
"Epoch 89/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.2401e-04\n",
"Epoch 90/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0021 - val_loss: 3.0903e-04\n",
"Epoch 91/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0020 - val_loss: 3.1448e-04\n",
"Epoch 92/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0020 - val_loss: 3.0788e-04\n",
"Epoch 93/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0020 - val_loss: 3.0349e-04\n",
"Epoch 94/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0020 - val_loss: 3.0098e-04\n",
"Epoch 95/100\n",
"29943/29943 [==============================] - 0s 4us/step - loss: 0.0020 - val_loss: 3.1119e-04\n",
"Epoch 96/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0020 - val_loss: 3.0249e-04\n",
"Epoch 97/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0020 - val_loss: 2.8934e-04\n",
"Epoch 98/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0020 - val_loss: 2.9429e-04\n",
"Epoch 99/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0020 - val_loss: 2.8466e-04\n",
"Epoch 100/100\n",
"29943/29943 [==============================] - 0s 3us/step - loss: 0.0019 - val_loss: 3.0773e-04\n"
]
},
{
"data": {
"text/plain": [
"0.01786895428237113"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# model fit\n",
"hist = nnetMdl.fit(varTran, tarTran, epochs=100, batch_size=1000, validation_split=0.1)\n",
"tarTemp = nnetMdl.predict(varTest, batch_size=1000)\n",
"#predict = tarScal.inverse_transform(tarTemp)\n",
"#resRMSE = np.sqrt(mean_squared_error(tarTest, predict))\n",
"resRMSE = np.sqrt(mean_squared_error(tarScal.transform(tarTest), tarTemp))\n",
"resRMSE"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's see how this neural network learns over different Epoch"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x242d6b060f0>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# plot history\n",
"plt.plot(hist.history['loss'])\n",
"plt.title('Model loss')\n",
"plt.ylabel('Loss')\n",
"plt.xlabel('Epoch')\n",
"plt.legend(['Train', 'Val'], loc='upper right')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks quite reasonable. We can save the Keras model now together with scaler for later evaluation."
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Saved model to disk\n"
]
}
],
"source": [
"# save model and architecture to single file\n",
"nnetMdl.save(workDir + \"COM_nnetMdl.h5\")\n",
"\n",
"# also save scaler\n",
"from sklearn.externals import joblib\n",
"joblib.dump(varScal, workDir + 'VarScaler.save') \n",
"joblib.dump(tarScal, workDir + 'TarScaler.save') \n",
"print(\"Saved model to disk\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Prediction:**<a id = 'Prediction'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's use this model to make some prediction"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"# generate prediction\n",
"predict = tarScal.inverse_transform(tarTemp)\n",
"allData = np.concatenate([varTest, tarTest, predict], axis = 1)\n",
"allData.shape\n",
"headLst = [varList, tarList, tarList]\n",
"headStr = ''.join(str(e) + ',' for e in headLst)\n",
"np.savetxt(workDir + 'COMCtleIOP.csv', allData, delimiter=',', header=headStr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's take some 50 points and see how the prediction work"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x242d059d390>"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x242ccf64c50>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [