{
"cells": [
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Learning Curve To Identify Overfit & Underfit"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from sklearn.model_selection import StratifiedKFold, cross_val_score, learning_curve, train_test_split\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.preprocessing import LabelEncoder,StandardScaler\n",
"from sklearn.pipeline import Pipeline\n",
"import random\n",
"from statsmodels.stats.outliers_influence import variance_inflation_factor\n",
"from IPython.display import Image"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Overfitting and Underfitting Refresher"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Overfitting (aka Variance):\n",
"A model is said to be overfit if the model is overtrained on the data such that it even learns the noise from the data. In the figure below, the third image shows overfitting where the model has learnt each and every example so perfectly that it misclassifies an unseen/new example. For a model that's overfit we have a perfect/close to perfect training set score while a poor test/validation score."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reasons for overfitting\n",
"1. Using a complex model for a simple problem which picks up the noise from the data. Example: Using a neural network on Iris dataset\n",
"2. Small datasets, as the training set may not be a right representation of the universe"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Underfitting (aka Bias):\n",
"A model is said to be underfit if the model is unable to learn the patterns in the data properly. In the figure below, the first image shows overfitting where the model hasn't fully learnt each and every example. In such cases we see a low score on both the training set and test/validation set"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reasons for underfitting\n",
"1. Using a simple model for a complex problem which doesn't pick up all the patterns from the data. Example: Using a logistic regression for image classification\n",
"2. The underlying data has no inherent pattern. Example, trying to predict a student's marks with his father's weight."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Modeling (Iris data) using Logistic Regression"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"In this section we'll fit a LogisticRegressor to the Iris dataset and identify underfitting, overfitting and good fit."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" Id SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm \\\n",
"count 150.000000 150.000000 150.000000 150.000000 150.000000 \n",
"unique NaN NaN NaN NaN NaN \n",
"top NaN NaN NaN NaN NaN \n",
"freq NaN NaN NaN NaN NaN \n",
"mean 75.500000 5.843333 3.054000 3.758667 1.198667 \n",
"std 43.445368 0.828066 0.433594 1.764420 0.763161 \n",
"min 1.000000 4.300000 2.000000 1.000000 0.100000 \n",
"25% 38.250000 5.100000 2.800000 1.600000 0.300000 \n",
"50% 75.500000 5.800000 3.000000 4.350000 1.300000 \n",
"75% 112.750000 6.400000 3.300000 5.100000 1.800000 \n",
"max 150.000000 7.900000 4.400000 6.900000 2.500000 \n",
"\n",
" Species \n",
"count 150 \n",
"unique 3 \n",
"top Iris-virginica \n",
"freq 50 \n",
"mean NaN \n",
"std NaN \n",
"min NaN \n",
"25% NaN \n",
"50% NaN \n",
"75% NaN \n",
"max NaN "
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"train.describe(include=\"all\")"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Id 0.0\n",
"SepalLengthCm 0.0\n",
"SepalWidthCm 0.0\n",
"PetalLengthCm 0.0\n",
"PetalWidthCm 0.0\n",
"Species 0.0\n",
"dtype: float64"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.round(train.isnull().mean(),2)*10"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"r = c = 0\n",
"fig,ax = plt.subplots(2,2,figsize=(14,14))\n",
"for n,i in enumerate(train.columns[1:-1]):\n",
" sns.boxplot(x=\"Species\",y=i,data=train,ax=ax[r,c])\n",
" ax[r,c].set_title(f\"Relationship Between {i} & Species\")\n",
" c += 1\n",
" if (n+1)%2==0:\n",
" c = 0\n",
" r += 1\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"**There exists a strong relationship between target and input features**"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"# Splitting the data into input and target features\n",
"X = train.iloc[:,1:-1].copy()\n",
"y = train.iloc[:,-1]"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
SepalLengthCm
\n",
"
SepalWidthCm
\n",
"
PetalLengthCm
\n",
"
PetalWidthCm
\n",
"
\n",
" \n",
" \n",
"
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"
0
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"
6.4
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"
3.2
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"
5.3
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"
2.3
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"
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"
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"
1
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"
6.8
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"
3.2
\n",
"
5.9
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"
2.3
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"
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"
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"
2
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"
6.0
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"
2.2
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"
5.0
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"
1.5
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"
\n",
"
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"
3
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"
5.9
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"
3.0
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"
5.1
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"
1.8
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"
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"
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"
4
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"
7.4
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"
2.8
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"
6.1
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1.9
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"
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"
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"
...
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"
...
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"
...
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"
...
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"
...
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"
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145
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"
6.7
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"
3.3
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5.7
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"
2.1
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"
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"
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"
146
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"
6.9
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"
3.2
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5.7
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2.3
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"
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"
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"
147
\n",
"
5.8
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2.7
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3.9
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1.2
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"
\n",
"
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"
148
\n",
"
6.0
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2.2
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4.0
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1.0
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"
\n",
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"
149
\n",
"
5.5
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"
4.2
\n",
"
1.4
\n",
"
0.2
\n",
"
\n",
" \n",
"
\n",
"
150 rows × 4 columns
\n",
"
"
],
"text/plain": [
" SepalLengthCm SepalWidthCm PetalLengthCm PetalWidthCm\n",
"0 6.4 3.2 5.3 2.3\n",
"1 6.8 3.2 5.9 2.3\n",
"2 6.0 2.2 5.0 1.5\n",
"3 5.9 3.0 5.1 1.8\n",
"4 7.4 2.8 6.1 1.9\n",
".. ... ... ... ...\n",
"145 6.7 3.3 5.7 2.1\n",
"146 6.9 3.2 5.7 2.3\n",
"147 5.8 2.7 3.9 1.2\n",
"148 6.0 2.2 4.0 1.0\n",
"149 5.5 4.2 1.4 0.2\n",
"\n",
"[150 rows x 4 columns]"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Input features\n",
"X"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 Iris-virginica\n",
"1 Iris-virginica\n",
"2 Iris-virginica\n",
"3 Iris-virginica\n",
"4 Iris-virginica\n",
" ... \n",
"145 Iris-virginica\n",
"146 Iris-virginica\n",
"147 Iris-versicolor\n",
"148 Iris-versicolor\n",
"149 Iris-setosa\n",
"Name: Species, Length: 150, dtype: object"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Target feature. Should LabelEncode this\n",
"y "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Iris-virginica 50\n",
"Iris-setosa 50\n",
"Iris-versicolor 50\n",
"Name: Species, dtype: int64"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Well balanced dataset\n",
"y.value_counts() "
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y.value_counts().plot(kind=\"bar\")\n",
"plt.title(\"Class distribution\")\n",
"plt.ylabel(\"Frequency\");"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Identifying and handling Multicollinearity using VIF"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"The correlation matrix below shows high multicollinearity among input features. VIF > 5 or 10 implies multicollinearity."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(X.corr(),annot=True,fmt=\"0.1f\",cbar=False,mask=np.triu(X.corr()));"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[264.7457109493044, 97.1116058338033, 173.96896536339727, 55.48868864572551]\n"
]
}
],
"source": [
"X_vif = X.copy()\n",
"vif = [variance_inflation_factor(X_vif.values, i) for i in range(X_vif.shape[1])]\n",
"print(vif)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"# removing first feature\n",
"X_vif = X_vif.iloc[:,1:].copy()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[5.896727335512334, 61.750178363923474, 42.917554018630476]\n"
]
}
],
"source": [
"vif = [variance_inflation_factor(X_vif.values, i) for i in range(X_vif.shape[1])]\n",
"print(vif)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"# Removing 2nd feature\n",
"X_vif = X_vif.iloc[:,[0,2]].copy()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2.8977517768607695, 2.8977517768607695]\n"
]
}
],
"source": [
"# No multicollinearity\n",
"vif = [variance_inflation_factor(X_vif.values, i) for i in range(X_vif.shape[1])]\n",
"print(vif)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"For this notebook, we're ignoring multicollinearity as we're unable to overfit the model (since we're reduced the number of input features). So, we're considering all the input features for this problem."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# The function below builds the model and returns cross validation scores, train score and learning curve data\n",
"def learn_curve(X,y,c):\n",
" ''' param X: Matrix of input features\n",
" param y: Vector of Target/Label\n",
" c: Inverse Regularization variable to control overfitting (high value causes overfitting, low value causes underfitting)\n",
" '''\n",
" '''We aren't splitting the data into train and test because we will use StratifiedKFoldCV.\n",
" KFold CV is a preffered metho compared to hold out CV, since the model is tested on all the examples.\n",
" Hold out CV is preferred when the model takes too long to train and we have a huge test set that truly represents the universe\n",
" '''\n",
" \n",
" le = LabelEncoder() # Label encoding the target\n",
" sc = StandardScaler() # Scaling the input features\n",
" y = le.fit_transform(y)# Label Encoding the target\n",
" \n",
" log_reg = LogisticRegression(max_iter=200,random_state=11,C=c) # LogisticRegression model\n",
" \n",
" # Pipeline with scaling and classification as steps, must use a pipelne since we are using KFoldCV\n",
" lr = Pipeline(steps=(['scaler',sc],\n",
" ['classifier',log_reg]))\n",
" \n",
" \n",
" cv = StratifiedKFold(n_splits=5,random_state=11,shuffle=True) # Creating a StratifiedKFold object with 5 folds\n",
" cv_scores = cross_val_score(lr,X,y,scoring=\"accuracy\",cv=cv) # Storing the CV scores (accuracy) of each fold\n",
" \n",
" \n",
" lr.fit(X,y) # Fitting the model\n",
"\n",
" train_score = lr.score(X,y) # Scoring the model on train set\n",
" \n",
" # Building the learning curve\n",
" train_size,train_scores,test_scores = learning_curve(estimator=lr,X=X,y=y,cv=cv,scoring=\"accuracy\",random_state=11)\n",
" train_scores = 1-np.mean(train_scores,axis=1)# converting the accuracy score to misclassification rate\n",
" test_scores = 1-np.mean(test_scores,axis=1)# converting the accuracy score to misclassification rate\n",
" lc = pd.DataFrame({\"Training_size\":train_size,\"Training_loss\":train_scores,\"Validation_loss\":test_scores}).melt(id_vars=\"Training_size\")\n",
" return {\"cv_scores\":cv_scores,\n",
" \"train_score\":train_score,\n",
" \"learning_curve\":lc}"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Introduction to Learning Curve"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Learning curve is a plot that plots the training and validation loss for a sample of training examples by incrementally increasing them. Learning curves helps us in identifying if adding additional training examples could improve the validation score or not. If a model is overfit then adding additional training examples might improve the model performance on unseen data. Similarly, if a model is underfit then adding training examples doesn't help"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning Curve of a Good Fit Model"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Below we'll use the function created above to get a good fit model. We'll set the inverse regularization variable/parameter 'c' to 1 (i.e. we are not performing any regularization)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross Validation Accuracies:\n",
"-------------------------\n",
"[0.9666666666666667, 0.9, 0.9666666666666667, 0.9666666666666667, 1.0]\n",
"\n",
"Mean Cross Validation Accuracy:\n",
"-------------------------\n",
"0.9600000000000002\n",
"\n",
"Standard Deviation of Cross Validation Accuracy:\n",
"-------------------------\n",
"0.03265986323710903\n",
"\n",
"Training Accuracy:\n",
"---------------\n",
"0.9733333333333334\n",
"\n",
"\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc = learn_curve(X,y,1)\n",
"print(f'Cross Validation Accuracies:\\n{\"-\"*25}\\n{list(lc[\"cv_scores\"])}\\n\\n\\\n",
"Mean Cross Validation Accuracy:\\n{\"-\"*25}\\n{np.mean(lc[\"cv_scores\"])}\\n\\n\\\n",
"Standard Deviation of Cross Validation Accuracy:\\n{\"-\"*25}\\n{np.std(lc[\"cv_scores\"])}\\n\\n\\\n",
"Training Accuracy:\\n{\"-\"*15}\\n{lc[\"train_score\"]}\\n\\n')\n",
"sns.lineplot(data=lc[\"learning_curve\"],x=\"Training_size\",y=\"value\",hue=\"variable\")\n",
"plt.title(\"Learning Curve of Good Fit Model\")\n",
"plt.ylabel(\"Misclassification Rate/Loss\");"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"The cross validation accuracy and training accuracy calculated above are close to each other\n",
"### Interpreting the training loss\n",
"Learning curve of a good fit model has a moderately high training loss at the beginning which gradually lowers upon adding training examples and flattens gradually indicating addition of more training examples doesn't improve the model performance on training data\n",
"### Interpreting the validation loss\n",
"Learning curve of a good fit model has a high validation loss at the beginning which gradually lowers upon adding training examples and flattens gradually indicating addition of more training examples doesn't improve the model performance on unseen data"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also see that upon adding a reasonable number of training examples, both the training and validation loss are close to each other"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"**Typical Features**\n",
"* Train and Validation loss close to each other with validation loss > training loss.\n",
"* Initially reducing training and validation loss and a pretty flat training and validation loss after some poin"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning Curve of an Overfit Model"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Below we'll use the function created above to get an overfit model. We'll set the inverse regularization variable/parameter 'c' to 10000 (high value of 'c' causes overfitting)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross Validation Accuracies:\n",
"-------------------------\n",
"[0.9666666666666667, 0.8666666666666667, 1.0, 1.0, 1.0]\n",
"\n",
"Mean Cross Validation Accuracy:\n",
"-------------------------\n",
"0.9666666666666668\n",
"\n",
"Standard Deviation of Cross Validation Accuracy:\n",
"-------------------------\n",
"0.05163977794943221 (High Variance)\n",
"\n",
"Training Accuracy:\n",
"---------------\n",
"0.9866666666666667\n",
"\n",
"\n"
]
},
{
"data": {
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SqFAhSpcuneiY0+p70a9fPz788ENGjhxJkyZNyJcvn93xDz74gGPHjjFx4kS77qly5cpRq1YtZs6cSXR0NBEREbFmTD3xxBOsWrWKEiVKxNttm5L+e9cyMUtD3NOhQwc6dOiAl5fXQ6fYN23alGXLlnHx4kW77/13332Hh4eH7dzGjRvzwQcfcODAAbtusPnz59u1V69ePXLmzMmRI0cYNGhQouOWjEsJkGRYmzZtinOabevWrfnss8947LHHqF+/Pi+99BJFixblxo0b/Pnnn6xYsYJNmzYB1h+JpUuXMmDAAJ5++mnOnz/Pe++9R4ECBTh58mQaf6L4OTg4MHbsWF588UWefvpp+vTpw/Xr1xk7diwFChRI0CJ5n3zyCadPn6ZXr16sXbuWDh06kD9/fq5cucL69euZOXMmCxcupHLlytSoUYMyZcrw2muvERUVhbe3N8uWLWP79u2Jjr1Lly4MGzaMLl26EBERQa9eveyO16tXjxdeeIHevXuze/duGjRoQLZs2QgODmb79u1UqlSJl156Kd72J0yYQLNmzWjcuDGvvfYaLi4uTJ06lUOHDrFgwYIk3dlIq+9Fzpw5Wbp0KU888QT+/v68/vrrVKlShbCwMBYtWsS8efPo3Lkzr7/+eqxz+/Tpw4svvsjFixepW7durEUd3333XdavX0/dunV5+eWXKVOmDOHh4Zw9e5ZVq1Yxffp029IAKaFSpUoATJo0iVatWuHo6PjIf4D8l5ubGz/88MMj640ZM8Y2vuntt98mV65czJs3j5UrV/LBBx/g5eUFwNChQ/n2229p06YN48aNI3/+/MybN49jx47Ztefp6cnnn39Oz549uXbtGk8//TT58uXj8uXLHDhwgMuXLz/0jpRkYKYOwRZJgnszMeJ73JuhcebMGaNPnz5GwYIFDWdnZyNv3rxG3bp1jXHjxtm1N3HiRKNo0aKGq6urUa5cOePrr782xowZE2tGC3HMhvlvPA/OSotvxlRcs8DimpnEA7NfDMMwvvrqK6NkyZKGi4uLUbp0aePbb7812rVrF2tmUnyioqKM2bNnG02aNDFy5cplODk5GXnz5jVatWplzJ8/325q9YkTJ4zmzZsbOXLkMPLmzWsMHjzYWLlyZZyfqUKFCg99365duxqAUa9evXjrfPvtt0atWrWMbNmyGe7u7kaJEiWM5557zti9e/cjP9e2bduMJk2a2M6tXbu2sWLFCrs6iZ0FltzvhZ+fn9GzZ88EvVdQUJAxcOBAo3jx4oaLi4vh5eVlNGjQwJg7d65tFtuDQkNDDXd3dwMwvv766zjrXL582Xj55ZeNYsWKGc7OzkauXLkMf39/Y9SoUbap94+6LnF9vri+2xEREUa/fv2MvHnzGhaL5ZGzpf47Cyw+cc0CMwzD+OOPP4y2bdsaXl5ehouLi1GlShVj5syZsc4/cuSI0axZM8PNzc3IlSuX0bdvX9vyDP+N3TAMY+vWrUabNm2MXLlyGc7OzkbBggWNNm3aGN9//72tjmaBZS4WwzB5oxkRSbLr169TunRp2rdvz1dffWV2OCIiGYa6wEQyiJCQEMaPH0/jxo3JnTs3586d49NPP+XGjRsMGTLE7PBERDIUJUAiGYSrqytnz55lwIABXLt2zTbgc/r06bapzSIikjDqAhMREZEsRwshioiISJajBEhERESyHCVAIiIikuVoEHQcYmJiuHjxItmzZzd9eXgRERFJGMMwuHHjBr6+vo9cIFYJUBwuXrwYa6dhERERyRjOnz//yJXOlQDFIXv27ID1AubIkcPkaERERCQhwsLCKFy4sO13/GGUAMXhXrdXjhw5lACJiIhkMAkZvqJB0CIiIpLlKAESERGRLEcJkIiIiGQ5GgMkIiKpJjo6msjISLPDkEzExcXlkVPcE0IJkIiIpDjDMAgJCeH69etmhyKZjIODA8WKFcPFxSVZ7SgBEhGRFHcv+cmXLx8eHh5aVFZSxL2FioODgylSpEiyvldKgEREJEVFR0fbkp/cuXObHY5kMnnz5uXixYtERUXh7Oyc5HY0CFpERFLUvTE/Hh4eJkcimdG9rq/o6OhktaMESEREUoW6vSQ1pNT3SgmQiIiIZDlKgERERNLI2bNnsVgs7N+/P8Hn9OrVi/bt2z+0TqNGjRg6dGiyYstqNAhaREQkjRQuXJjg4GDy5MljdihZnhKgtHb2V7BYwK+u2ZGIiEgaunv3Li4uLvj4+JgdiqAusLR1YCHMag3LB0PUXbOjERGReMyYMYOCBQsSExNjV/7kk0/Ss2dPTp06Rbt27cifPz+enp7UqFGDDRs22NUtWrQo48aNo1evXnh5efH888/H6gKLjo6mb9++FCtWDHd3d8qUKcNnn30WZ0xjx44lX7585MiRgxdffJG7d+P/Hbl79y7Dhw+nYMGCZMuWjVq1arFly5ZkXZPMRglQWirTCrLlhat/wu/TzY5GRETi8cwzz3DlyhU2b95sK/vnn39Yu3Yt3bp14+bNm7Ru3ZoNGzawb98+WrRoQdu2bQkKCrJr58MPP6RixYrs2bOH0aNHx3qfmJgYChUqxOLFizly5Ahvv/02b775JosXL7art3HjRo4ePcrmzZtZsGABy5YtY+zYsfHG37t3b3799VcWLlzIwYMHeeaZZ2jZsiUnT55M5pXJRAyJJTQ01ACM0NDQlG987xzDGJPDMMb7GkZYcMq3LyJisjt37hhHjhwx7ty5Y3YoyfLkk08affr0sb2eMWOG4ePjY0RFRcVZv3z58sbnn39ue+3n52e0b9/ers6ZM2cMwNi3b1+87ztgwADjqaeesr3u2bOnkStXLuPWrVu2smnTphmenp5GdHS0YRiG0bBhQ2PIkCGGYRjGn3/+aVgsFuPChQt27TZt2tQYOXLkwz90BvCw71difr91ByitVekKBf3h7k3Y8I7Z0YiISDy6devGkiVLiIiIAGDevHk8++yzODo6cuvWLYYPH0758uXJmTMnnp6eHDt2LNYdoICAgEe+z/Tp0wkICCBv3rx4enry9ddfx2qnSpUqdgtL1qlTh5s3b3L+/PlY7e3duxfDMChdujSenp62x9atWzl16lRSLkWmpEHQac3BAVp9CP9rAgcWQEAfKFzT7KhEROQBbdu2JSYmhpUrV1KjRg22bdvGJ598AsDrr7/O2rVr+eijjyhZsiTu7u48/fTTscblZMuW7aHvsXjxYl555RU+/vhj6tSpQ/bs2fnwww/5/fffExRjXIsCxsTE4OjoyJ49e3B0dLQ75unpmaB2swIlQGYo5A9Vu8P+ubDqdXh+szUxEhGRdMPd3Z2OHTsyb948/vzzT0qXLo2/vz8A27Zto1evXnTo0AGAmzdvcvbs2US/x7Zt26hbty4DBgywlcV1l+bAgQPcuXMHd3d3AH777Tc8PT0pVKhQrLrVqlUjOjqaS5cuUb9+/UTHlFXoV9csj48B1xwQvB/2zTE7GhERiUO3bt1YuXIl3377Ld27d7eVlyxZkqVLl7J//34OHDhA165dY80YS4iSJUuye/du1q5dy4kTJxg9ejS7du2KVe/u3bv07duXI0eOsHr1asaMGcOgQYNwiOMfz6VLl6Zbt24899xzLF26lDNnzrBr1y4mTZrEqlWrEh1jZqUEyCye+aDRG9bnG8fCneumhiMiIrE1adKEXLlycfz4cbp27Wor//TTT/H29qZu3bq0bduWFi1aUL169US3379/fzp27Ejnzp2pVasWV69etbsbdE/Tpk0pVaoUDRo0oFOnTrRt25Z33nkn3nZnzpzJc889x6uvvkqZMmV48skn+f333ylcuHCiY8ysLIZhGGYHkd6EhYXh5eVFaGgoOXLkSL03io6EafXgynGo9RK0mph67yUikkbCw8M5c+YMxYoVw83NzexwJJN52PcrMb/fugNkJkfn+0nPzq/g0lFz4xEREckilACZrUQTKPsEGNGwejjohpyIiEiqUwKUHrQYD46ucOYXOLrc7GhEREQyPSVA6YF3Uag3xPp87Si4e9vUcERERDI7JUDpxWOvQI5CEHoefo17IzwRERFJGUqA0gsXD2gxzvr818nwzzlTwxEREcnMlAClJ+XbQ9H6EBUO694yOxoREZFMSwlQemKxQKtJYHG0DoY+vcXsiERERDIlJUDpTf4KUKOf9fnqEdbFEkVERCRFKQFKjxqPBI/ccPkY7Pqf2dGIiEgSNWrUiKFDhya4/tmzZ7FYLOzfvz/VYnpQr169aN++fZq9X3qhBCg9cveGpm9bn2+eADcvmxuPiEgmZ7FYHvro1atXktpdunQp7733XoLrFy5cmODgYCpWrJik95OEczI7AIlHtR6w+1sIPmDdLLXdF2ZHJCKSaQUHB9ueL1q0iLfffpvjx4/bytzd3e3qR0ZG4uzs/Mh2c+XKlag4HB0d8fHxSdQ5kjS6A5ReOThCqw+sz/fNhQt7zI1HRCQT8/HxsT28vLywWCy21+Hh4eTMmZPFixfTqFEj3NzcmDt3LlevXqVLly4UKlQIDw8PKlWqxIIFC+zafbALrGjRorz//vv06dOH7NmzU6RIEb766ivb8Qe7wLZs2YLFYmHjxo0EBATg4eFB3bp17ZIzgHHjxpEvXz6yZ89Ov379eOONN6hatWqSrkVERAQvv/wy+fLlw83Njccee4xdu3bZjv/zzz9069aNvHnz4u7uTqlSpZg5cyYAd+/eZdCgQRQoUAA3NzeKFi3KhAkTkhRHalMClJ4VqQ2VOwOGdUB0TIzZEYmIJJphGNy+G2XKw0jB/RVHjBjByy+/zNGjR2nRogXh4eH4+/vz888/c+jQIV544QV69OjB77///tB2Pv74YwICAti3bx8DBgzgpZde4tixYw89Z9SoUXz88cfs3r0bJycn+vTpYzs2b948xo8fz6RJk9izZw9FihRh2rRpSf6cw4cPZ8mSJcyePZu9e/dSsmRJWrRowbVr1wAYPXo0R44cYfXq1Rw9epRp06aRJ08eAKZMmcLy5ctZvHgxx48fZ+7cuRQtWjTJsaQmdYGld4+PhWMr4a9dcHAhVO1qdkQiIolyJzKa8m+vNeW9j7zbAg+XlPmpGzp0KB07drQre+2112zPBw8ezJo1a/j++++pVatWvO20bt2aAQMGANak6tNPP2XLli2ULVs23nPGjx9Pw4YNAXjjjTdo06YN4eHhuLm58fnnn9O3b1969+4NwNtvv826deu4efNmoj/jrVu3mDZtGrNmzaJVq1YAfP3116xfv55vvvmG119/naCgIKpVq0ZAQACAXYITFBREqVKleOyxx7BYLPj5+SU6hrSiO0DpXY4C0OB16/P1YyA8zNx4RESyqHs/+PdER0czfvx4KleuTO7cufH09GTdunUEBQU9tJ3KlSvbnt/rart06VKCzylQoACA7Zzjx49Ts2ZNu/oPvk6oU6dOERkZSb169Wxlzs7O1KxZk6NHjwLw0ksvsXDhQqpWrcrw4cPZsWOHrW6vXr3Yv38/ZcqU4eWXX2bdunVJiiMt6A5QRlD7Jdj7HVw7Bb98AM3HmR2RiEiCuTs7cuTdFqa9d0rJli2b3euPP/6YTz/9lMmTJ1OpUiWyZcvG0KFDuXv37kPbeXDwtMViIeYRQxz+e47FYgGwO+de2T1J7fq7d15c7d0ra9WqFefOnWPlypVs2LCBpk2bMnDgQD766COqV6/OmTNnWL16NRs2bKBTp048/vjj/PDDD0mKJzXpDlBG4ORqXSEa4LdpcPmEufGIiCSCxWLBw8XJlMeDP+Qpadu2bbRr147u3btTpUoVihcvzsmTJ1Pt/eJTpkwZdu7caVe2e/fuJLVVsmRJXFxc2L59u60sMjKS3bt3U65cOVtZ3rx56dWrF3PnzmXy5Ml2A7lz5MhB586d+frrr1m0aBFLliyxjR9KT3QHKKMo1QxKt4QTa2DNCOi+1Lp1hoiImKJkyZIsWbKEHTt24O3tzSeffEJISIhdopAWBg8ezPPPP09AQAB169Zl0aJFHDx4kOLFiye6rWzZsvHSSy/x+uuvkytXLooUKcIHH3zA7du36du3L2AdY+Tv70+FChWIiIjg559/tn3mTz/9lAIFClC1alUcHBz4/vvv8fHxIWfOnCn5kVOEEqCMpMX7cGqT9XF8NZRtbXZEIiJZ1ujRozlz5gwtWrTAw8ODF154gfbt2xMaGpqmcXTr1o3Tp0/z2muvER4eTqdOnejVq1esu0IJNXHiRGJiYujRowc3btwgICCAtWvX4u3tDYCLiwsjR47k7NmzuLu7U79+fRYuXAiAp6cnkyZN4uTJkzg6OlKjRg1WrVqFg0P663CyGCk5RzCTCAsLw8vLi9DQUHLkyGF2OPY2jIXtn4B3URjwOzi7mR2RiIid8PBwzpw5Q7FixXBz099RZmjWrBk+Pj7MmTPH7FBS3MO+X4n5/U5/KZk8XP1XIXsB+OcsBH5udjQiImKy27dv88knn3D48GGOHTvGmDFj2LBhAz179jQ7tHRNCVBG4+oJzf7dV2bbJxD6l7nxiIiIqSwWC6tWraJ+/fr4+/uzYsUKlixZwuOPPw5Yu6Xie2zbts3k6M2jMUAZUaWnYfc3EBQI69+Gp781OyIRETGJu7s7GzZsiPf4w3aWL1iwYCpElDEoAcqILBbrPmFfNYRDSyCgDxR9zOyoREQkHSpZsqTZIaRL6gLLqApUBv9e1uerR0B0lKnhiIiIZCRKgDKyJqPBLSf8fQj2zDQ7GhERkQxDCVBG5pELmrxlfb5pHNy6am48IiIiGYQSoIzOvzfkrwjh12Gz9ggTERFJCCVAGZ2j0/19wnbPhOAD5sYjIiKSASgBygyKPgYVnwIM64BoLe4tIpLmGjVqxNChQ22vixYtyuTJkx96jsVi4ccff0z2e6dUOwmVkM+W3ikByiyavQvOHta1gf74wexoREQylLZt29oWDnxQYGAgFouFvXv3JqrNXbt28cILL6REeDbvvPMOVatWjVUeHBxMq1atUvS9MjslQJmFVyGoP8z6fP1oiLhpbjwiIhlI37592bRpE+fOnYt17Ntvv6Vq1apUr149UW3mzZsXDw+PlArxoXx8fHB1dU2T98oslABlJnUGWzdJvREM2z42OxoRkQzjiSeeIF++fMyaNcuu/Pbt2yxatIj27dvTpUsXChUqhIeHB5UqVWLBggUPbfPBbqKTJ0/SoEED3NzcKF++POvXr491zogRIyhdujQeHh4UL16c0aNHExkZCcCsWbMYO3YsBw4cwGKxYLFYbPE+2AX2xx9/0KRJE9zd3cmdOzcvvPACN2/e/4dxr169aN++PR999BEFChQgd+7cDBw40PZeiRUUFES7du3w9PQkR44cdOrUib///tt2/MCBAzRu3Jjs2bOTI0cO/P392b17NwDnzp2jbdu2eHt7ky1bNipUqMCqVauSFEdiaCXozMTZDVpMgIVdIPALqNYdcpcwOyoRyeoMAyJvm/Pezh7W1fMfwcnJieeee45Zs2bx9ttvY/n3nO+//567d+/Sr18/FixYwIgRI8iRIwcrV66kR48eFC9enFq1aj2y/ZiYGDp27EiePHn47bffCAsLsxsvdE/27NmZNWsWvr6+/PHHHzz//PNkz56d4cOH07lzZw4dOsSaNWtsW194eXnFauP27du0bNmS2rVrs2vXLi5dukS/fv0YNGiQXYK3efNmChQowObNm/nzzz/p3LkzVatW5fnnn3/k5/kvwzBo37492bJlY+vWrURFRTFgwAA6d+7Mli1bAOjWrRvVqlVj2rRpODo6sn//fpydnQEYOHAgd+/e5ZdffiFbtmwcOXIET0/PRMWQFEqAMpsyraBEUzi1Eda+CV0XmR2RiGR1kbfhfV9z3vvNi+CSLUFV+/Tpw4cffsiWLVto3LgxYO3+6tixIwULFuS1116z1R08eDBr1qzh+++/T1ACtGHDBo4ePcrZs2cpVKgQAO+//36scTtvvfWW7XnRokV59dVXWbRoEcOHD8fd3R1PT0+cnJzw8fGJ973mzZvHnTt3+O6778iWzfrZv/jiC9q2bcukSZPInz8/AN7e3nzxxRc4OjpStmxZ2rRpw8aNGxOdAG3YsIGDBw9y5swZChcuDMCcOXOoUKECu3btokaNGgQFBfH6669TtmxZAEqVKmU7PygoiKeeeopKlSoBULx48US9f1KZ3gU2depUihUrhpubG/7+/g/dmXbp0qU0a9aMvHnzkiNHDurUqcPatWtj1VuyZAnly5fH1dWV8uXLs2zZstT8COmLxQItJ4KDE5xYAyfWmR2RiEiGULZsWerWrcu331o3mD516hTbtm2jT58+REdHM378eCpXrkzu3Lnx9PRk3bp1BAUFJajto0ePUqRIEVvyA1CnTp1Y9X744Qcee+wxfHx88PT0ZPTo0Ql+j/++V5UqVWzJD0C9evWIiYnh+PHjtrIKFSrg6Ohoe12gQAEuXbqUqPe6936FCxe2JT8A5cuXJ2fOnBw9ehSAYcOG0a9fPx5//HEmTpzIqVOnbHVffvllxo0bR7169RgzZgwHDx5MdAxJYeodoEWLFjF06FCmTp1KvXr1mDFjBq1ateLIkSMUKVIkVv1ffvmFZs2a8f7775MzZ05mzpxJ27Zt+f3336lWrRpgHa3fuXNn3nvvPTp06MCyZcvo1KkT27dvT1CWninkLQ21X4Idn8OaN6B4Q3DS4DgRMYmzh/VOjFnvnQh9+/Zl0KBBfPnll8ycORM/Pz+aNm3Khx9+yKeffsrkyZOpVKkS2bJlY+jQody9ezdB7RpxLE9ieaBr7rfffuPZZ59l7NixtGjRAi8vLxYuXMjHHyduTKdhGLHajus973VB/fdYTExMot7rYe/33/J33nmHrl27snLlSlavXs2YMWNYuHAhHTp0oF+/frRo0YKVK1eybt06JkyYwMcff8zgwYMTHUtimHoH6JNPPqFv377069ePcuXKMXnyZAoXLsy0adPirD958mSGDx9OjRo1KFWqFO+//z6lSpVixYoVdnWaNWvGyJEjKVu2LCNHjqRp06YZfr2CRGswHLLlg2un4Le4r6eISJqwWKzdUGY8EjD+5786deqEo6Mj8+fPZ/bs2fTu3RuLxcK2bdto164d3bt3p0qVKhQvXpyTJ08muN3y5csTFBTExYv3E8HAwEC7Or/++it+fn6MGjWKgIAASpUqFWtWmouLC9HR0Y98r/3793Pr1i27th0cHChdunSCY06oe5/t/PnztrIjR44QGhpKuXLlbGWlS5fmlVdeYd26dXTs2JGZM+/vYVm4cGH69+/P0qVLefXVV/n6669TPM4HmZYA3b17lz179tC8eXO78ubNm7Njx44EtRETE8ONGzfIlSuXrSwwMDBWmy1atHhomxEREYSFhdk9Mjy3HNBsrPX5Lx9CWLC58YiIZACenp507tyZN998k4sXL9KrVy8ASpYsyfr169mxYwdHjx7lxRdfJCQkJMHtPv7445QpU4bnnnuOAwcOsG3bNkaNGmVXp2TJkgQFBbFw4UJOnTrFlClTYg3hKFq0KGfOnGH//v1cuXKFiIiIWO/VrVs33Nzc6NmzJ4cOHWLz5s0MHjyYHj162Mb/pKTHH3+cypUr061bN/bu3cvOnTt57rnnaNiwIQEBAdy5c4dBgwaxZcsWzp07x6+//squXbtsydHQoUNZu3YtZ86cYe/evWzatMkucUotpiVAV65cITo6OtYfRv78+RP8pfr444+5desWnTp1spWFhIQkus0JEybg5eVle/y3HzNDq/wsFKoBd2/ChjFmRyMikiH07duXf/75h8cff9w2HGP06NFUr16dFi1a0KhRI3x8fGjfvn2C23RwcGDZsmVERERQs2ZN+vXrx/jx4+3qtGvXjldeeYVBgwZRtWpVduzYwejRo+3qPPXUU7Rs2ZLGjRuTN2/eOKfie3h4sHbtWq5du0aNGjV4+umnadq0KV988UXiL0YC3JuC7+3tTYMGDXj88ccpXrw4ixZZJ+E4Ojpy9epVnnvuOUqXLk2nTp1o1aoVY8da/5EeHR3NwIEDKVeuHC1btqRMmTJMnTo1VWK1i9uIq2MyDVy8eJGCBQuyY8cOu4Fg48ePZ86cORw7duyh5y9YsIB+/frx008/2a3e6eLiwuzZs+nSpYutbN68efTt25fw8PA424qIiLDLosPCwihcuDChoaHkyJEjqR8xfbiwB75uChjQZy0UqW12RCKSyYWHh3PmzBnbBBeRlPSw71dYWBheXl4J+v027Q5Qnjx5cHR0jHVn5tKlS4+8Rbdo0SL69u3L4sWLYy1d7uPjk+g2XV1dyZEjh90j0yjob10PCGD1cIh5eN+xiIhIVmBaAuTi4oK/v3+slTDXr19P3bp14z1vwYIF9OrVi/nz59OmTZtYx+vUqROrzXXr1j20zUyv6Rhw9bLuFL9vjtnRiIhIOrZt2zY8PT3jfWQWpk6DHzZsGD169CAgIIA6derw1VdfERQURP/+/QEYOXIkFy5c4LvvvgOsyc9zzz3HZ599Ru3atW13etzd3W2rYQ4ZMoQGDRowadIk2rVrx08//cSGDRvYvn27OR8yPfDMC41HWqfEb3wXyrcDd2+zoxIRkXQoICCA/fv3mx1GqjM1AercuTNXr17l3XffJTg4mIoVK7Jq1Sr8/PwA6+62/10AasaMGURFRTFw4EAGDhxoK+/Zs6dtee+6deuycOFC3nrrLUaPHk2JEiVYtGhR1lkDKD41+sGeWXD5GGyeAK0/MDsiERFJh9zd3SlZsqTZYaQ60wZBp2eJGUSVoZzeAt+1A4sj9N8G+SuYHZGIZEL3BqkWLVoUd3d3s8ORTObOnTucPXs24w6CFhMUbwTlngQjGlaPsG5QKCKSwu6tMHz7tkkboEqmdm/17f9u45EU2gw1q2k+Dk6ug7Pb4MiPUKGD2RGJSCbj6OhIzpw5bftKeXh4xLs1g0hixMTEcPnyZTw8PHBySl4KowQoq/H2g3pDYetEWPsWlGoBLonbK0dE5FHu7VaelM01RR7GwcGBIkWKJDupVgKUFT02FPbPh9Ag2P4pNBn1yFNERBLDYrFQoEAB8uXLR2RkpNnhSCbi4uKCg0PyR/AoAcqKnN2hxThY/Bz8+hlU6wbeRc2OSkQyIUdHx2SP1RBJDRoEnVWVexKKNYDoCFirO0AiIpK1KAHKqiwWaPWBdUr8sZ/h1CazIxIREUkzSoCysnzloOYL1uerR0C0+ulFRCRrUAKU1TV6Azxyw5UTsPMrs6MRERFJE0qAsjr3nNbNUgG2TISbmrIqIiKZnxIggWo9wLcaRITBhrFmRyMiIpLqlAAJODhYB0QD7J8Lf+0xNx4REZFUpgRIrArXhCpdrM9Xvw4xMebGIyIikoqUAMl9j78DLtnhwh44MN/saERERFKNEiC5L7sPNBxufb7hHQgPNTUcERGR1KIESOzV6g+5S8Gty7D1A7OjERERSRVKgMSekwu0nGh9/vt0uHzc3HhERERSgRIgia3U41CmNcREwerhYBhmRyQiIpKilABJ3FqMB0cXOL0Fjq00OxoREZEUpQRI4parONQdbH2+diRE3jE3HhERkRSkBEjiV/9VyO4L14Ngx+dmRyMiIpJilABJ/FyyQfP3rM+3fQLXz5sbj4iISApJUgK0d+9e/vjjD9vrn376ifbt2/Pmm29y9+7dFAtO0oGKT4FfPYi6A+tHmx2NiIhIikhSAvTiiy9y4sQJAE6fPs2zzz6Lh4cH33//PcOHD0/RAMVkFgu0mgQWBzi8DM78YnZEIiIiyZakBOjEiRNUrVoVgO+//54GDRowf/58Zs2axZIlS1IyPkkPfCpBQB/r89UjIDrK3HhERESSKUkJkGEYxPy7WeaGDRto3bo1AIULF+bKlSspF52kH41Hgbs3XDoCu781OxoREZFkSVICFBAQwLhx45gzZw5bt26lTZs2AJw5c4b8+fOnaICSTnjkgib/jgHaPA5uKdEVEZGMK0kJ0OTJk9m7dy+DBg1i1KhRlCxZEoAffviBunXrpmiAko7494L8laybpG56z+xoREREksxiGCm3z0F4eDiOjo44OzunVJOmCAsLw8vLi9DQUHLkyGF2OOnLuR0wsxVggRe2gG9VkwMSERGxSszvd5LuAJ0/f56//vrL9nrnzp0MHTqU7777LsMnP/IIfnWh0jOAoX3CREQkw0pSAtS1a1c2b94MQEhICM2aNWPnzp28+eabvPvuuykaoKRDzd4F52xw/nc4uNjsaERERBItSQnQoUOHqFmzJgCLFy+mYsWK7NixwzYVXjK5HL7Q4FXr8/VvQ8QNc+MRERFJpCQlQJGRkbi6ugLWafBPPvkkAGXLliU4ODjlopP0q84g8C4GN0Pgl4/MjkZERCRRkpQAVahQgenTp7Nt2zbWr19Py5YtAbh48SK5c+dO0QAlnXJyhZYTrc8Dv4Qrf5obj4iISCIkKQGaNGkSM2bMoFGjRnTp0oUqVaoAsHz5clvXmGQBpVtAyWYQEwlrR5odjYiISIIleRp8dHQ0YWFheHt728rOnj2Lh4cH+fLlS7EAzaBp8Ilw5U+YWtuaBHVdbE2KRERETJDq0+ABHB0diYqKYvv27fz6669cvnyZokWLZvjkRxIpT0moM8D6fM0bEBVhbjwiIiIJkKQE6NatW/Tp04cCBQrQoEED6tevj6+vL3379uX27dspHaOkdw1eB8/8cO20dTyQiIhIOpekBGjYsGFs3bqVFStWcP36da5fv85PP/3E1q1befXVV1M6RknvXLNb1wYC64ywsIvmxiMiIvIISRoDlCdPHn744QcaNWpkV75582Y6derE5cuXUyo+U2gMUBIYBnzTHP7aaV0p+qn/mR2RiIhkMak+Buj27dtx7vqeL18+dYFlVRYLtP4AsMAf38O5QLMjEhERiVeSEqA6deowZswYwsPDbWV37txh7Nix1KlTJ8WCkwzGtxpUf876fPXrEBNtbjwiIiLxcErKSZ999hktW7akUKFCVKlSBYvFwv79+3F1dWXdunUpHaNkJE3fhiM/QsgfsHc2BPQxOyIREZFYkrwO0J07d5g7dy7Hjh3DMAzKly9Pt27dcHd3T+kY05zGACXT7zOsO8W754LBe8Ajl9kRiYhIFpCY3+8kJ0BxOXXqFM8//zybNm1KqSZNoQQomaKjYPpjcPko1Hge2mivMBERSX1pshBiXG7evMnWrVtTsknJiByd/h0QDez+BkIOmRuPiIjIA1I0ARKxKdYAyrcHI8baHZZyNxpFRESSTQmQpJ7m74GTO5z7FQ4vNTsaERERGyVAknpyFoHHXrE+Xzca7t4yNx4REZF/JWoafLVq1bBYLPEe1yKIEku9l2H/XLgeBNs+gaajzY5IREQkcQlQu3btHpoAicTi7A4t3odF3WHHFKjWDXIVNzsqERHJ4hI1Df7mzZt4enqmZjzpgqbBpzDDgDnt4fQWKNMGusw3OyIREcmEUm0afJ48eWjVqhXTpk3j4kXt+C0JZLFAy0ng4ATHV8KfG8yOSEREsrhEJUDHjx+ndevWLFmyhGLFilGjRg3ee+89Dh48mFrxSWaRryzUfNH6fPUbEHXX3HhERCRLS/JK0KGhoaxatYqffvqJNWvW4O3tzZNPPkm7du1o2LAhjo6OKR1rmlEXWCoJD4XP/eHWZWg+DuoONjsiERHJRNJkJWgvLy+6dOnCwoULuXLlCjNmzCAmJobevXuTN29e5s2bl9SmJbNy84KmY6zPt0yCG3+bG4+IiGRZKboX2D379u0jKiqKGjVqpHTTaUJ3gFJRTAz8rylc3AtVukKHaWZHJCIimUSa3AHatm0b3bt3p06dOly4cAGAOXPmsH37dqpVq5Zhkx9JZQ4O0PpD6/MD8+H8LnPjERGRLClJCdCSJUto0aIF7u7u7Nu3j4iICABu3LjB+++/n6IBSiZUKACqdrM+X/269a6QiIhIGkpSAjRu3DimT5/O119/jbOzs628bt267N27N8WCk0zs8XfANQdc3GddKVpERCQNJSkBOn78OA0aNIhVniNHDq5fv57cmCQr8MwHDUdYn28YC3eumxqOiIhkLUlKgAoUKMCff/4Zq3z79u0UL564bQ6mTp1KsWLFcHNzw9/fn23btsVbNzg4mK5du1KmTBkcHBwYOnRorDqzZs3CYrHEeoSHhycqLkkDNV+APKXh9hXYOsnsaEREJAtJUgL04osvMmTIEH7//XcsFgsXL15k3rx5vPbaawwYMCDB7SxatIihQ4cyatQo9u3bR/369WnVqhVBQUFx1o+IiCBv3ryMGjWKKlWqxNtujhw5CA4Otnu4ubkl+nNKKnNygZYTrc9/nwGXjpobj4iIZBlJngY/atQoPv30U9udFVdXV1577TXee++9BLdRq1YtqlevzrRp96dClytXjvbt2zNhwoSHntuoUSOqVq3K5MmT7cpnzZrF0KFDk9UVp2nwaWxhNzj2MxRrCM/9ZN06Q0REJJHSZBr8+PHjuXLlCjt37uS3337j8uXLiUp+7t69y549e2jevLldefPmzdmxY0dSwwKsm7b6+flRqFAhnnjiCfbt2/fQ+hEREYSFhdk9JA01HweOrnBmKxxdYXY0IiKSBSQpAerTpw83btzAw8ODgIAAatasiaenJ7du3aJPnz4JauPKlStER0eTP39+u/L8+fMTEhKSlLAAKFu2LLNmzWL58uUsWLAANzc36tWrx8mTJ+M9Z8KECXh5edkehQsXTvL7SxLkKgb1XrY+XzsKIu+YG4+IiGR6SUqAZs+ezZ07sX+k7ty5w3fffZeotiwPdHcYhhGrLDFq165N9+7dqVKlCvXr12fx4sWULl2azz//PN5zRo4cSWhoqO1x/vz5JL+/JNFjwyBHIQgNgl8/MzsaERHJ5JwSUzksLAzDMDAMgxs3btgNLI6OjmbVqlXky5cvQW3lyZMHR0fHWHd7Ll26FOuuUHI4ODhQo0aNh94BcnV1xdXVNcXeU5LAxQOavwc/9Ibtn0LVrpCziNlRiYhIJpWoO0A5c+YkV65cWCwWSpcujbe3t+2RJ08e+vTpw8CBAxPUlouLC/7+/qxfv96ufP369dStWzcxYT2UYRjs37+fAgUKpFibkkoqdICi9SEqHNa9ZXY0IiKSiSXqDtDmzZsxDIMmTZqwZMkScuXKZTvm4uKCn58fvr6+CW5v2LBh9OjRg4CAAOrUqcNXX31FUFAQ/fv3B6xdUxcuXLDrVtu/fz9gHeh8+fJl9u/fj4uLC+XLlwdg7Nix1K5dm1KlShEWFsaUKVPYv38/X375ZWI+qpjBYoFWk2D6Y3DkJzi9BYo3MjsqERHJhBKVADVs2BCAM2fOULhwYRwckjyJDIDOnTtz9epV3n33XYKDg6lYsSKrVq3Cz88PsC58+OCaQNWqVbM937NnD/Pnz8fPz4+zZ88CcP36dV544QVCQkLw8vKiWrVq/PLLL9SsWTNZsUoayV8BavSDnV/B6jeg/zZwdH70eSIiIomQ5HWAAG7fvk1QUBB37961K69cuXKyAzOT1gEy2e1r8Lk/3LkGLSdB7f5mRyQiIhlAYn6/E3UH6J7Lly/Tu3dvVq9eHefx6OjopDQrYuWRC5qOhp9fgc3vQ8WnwDOv2VGJiEgmkqQ+rKFDh/LPP//w22+/4e7uzpo1a5g9ezalSpVi+fLlKR2jZEXVe4JPZYgIhU3vmh2NiIhkMklKgDZt2sSnn35KjRo1cHBwwM/Pj+7du/PBBx88cgsLkQRxcITWH1qf750DF/aaG4+IiGQqSUqAbt26ZVvvJ1euXFy+fBmASpUqsXevfqgkhRSpDZU6AQasHgExMWZHJCIimUSSEqAyZcpw/PhxAKpWrcqMGTO4cOEC06dP13o7krKavQvO2eCvnXBwkdnRiIhIJpHkMUDBwcEAjBkzhjVr1lCkSBGmTJnC+++/n6IBShaXowA0fN36fMMYCNdGtSIiknzJmgZ/z+3btzl27BhFihQhT548KRGXqTQNPp2JioCpdeDaKaj7snXLDBERkQck5vc7eSsZ/svDw4Pq1avj6enJRx99lBJNitzn5AotJ1qf/zYNrsS/r5uIiEhCJDoBunLlCitXrmTdunW29X4iIyP57LPPKFq0KBMnTkzxIEUo3RxKtYCYSOuA6OTfuBQRkSwsUQnQjh07KFWqFG3btqVVq1bUrVuXI0eOUKFCBT7//HPeeuutWFtXiKSYlhPA0QVObYQTa8yORkREMrBEJUCjR4+mRYsWHDx4kCFDhrBr1y6eeOIJ3nrrLU6ePMmgQYPw8PBIrVglq8tdAuoMtD5f8wZEhpsbj4iIZFiJGgSdJ08etm7dSoUKFbh9+zbZs2dn4cKFPPPMM6kZY5rTIOh0LOImfBEAN4KhyWho8JrZEYmISDqRaoOgr127Rt681j2ZPDw88PDwsNudXSTVuXpa1wYC2PYxhF4wNx4REcmQEpUAWSwWbty4QVhYGKGhoVgsFm7fvk1YWJjdQyRVVXoGCteGyNuw/m2zoxERkQwoUV1gDg4OWCwW22vDMOJ8ndF3g1cXWAYQfABmNAQM6LUKitYzOyIRETFZYn6/nRLT8ObNm5MVmEiKKVAF/HvBnpmweji8sBUcE/V1FhGRLCxRvxgNGzZMrThEEq/JaDi8DP4+BHtnQY1+ZkckIiIZRIqsBC1iimy5oclb1uebxsHta+bGIyIiGYYSIMnY/HtDvgpw5x9rEiQiIpIASoAkY3N0gtYfWJ/vmQnBB82NR0REMgQlQJLxFX0MKnQEI0b7hImISIIoAZLMofl74OQOQTvg0BKzoxERkXQuSfOGb926xcSJE9m4cSOXLl0iJibG7vjp06dTJDiRBPMqBPVfhc3jYN1oKN3Sumq0iIhIHJKUAPXr14+tW7fSo0cPChQoYLcYoohp6g6GfXPg+jnrNhmPjzE7IhERSacStRL0PTlz5mTlypXUq5c5V9/VStAZ2LGVsLArOLrAgN+sO8iLiEiWkGqbod7j7e1Nrly5khScSKoq0xpKNIHou7B2lNnRiIhIOpWkBOi9997j7bff5vbt2ykdj0jyWCzQchI4OMGJ1XByvdkRiYhIOpSkLrBq1apx6tQpDMOgaNGiODs72x3fu3dvigVoBnWBZQJrR0HgF5C7JLwUCE4uZkckIiKpLNU2Q72nffv2STlNJO00HAEHF8PVP+H3aVBviNkRiYhIOpKkO0CZne4AZRL75sFPA8DFEwbvgew+ZkckIiKpKNUHQd+zZ88e5s6dy7x589i3b19ymhJJeVW6QMEAuHsT1mtKvIiI3JekLrBLly7x7LPPsmXLFnLmzIlhGISGhtK4cWMWLlxI3rx5UzpOkcRzcLDuE/Z1Ezi4EAL6QJFaZkclIiLpQJLuAA0ePJiwsDAOHz7MtWvX+Oeffzh06BBhYWG8/PLLKR2jSNIV9Idq3a3PVw+HmGhz4xERkXQhSWOAvLy82LBhAzVq1LAr37lzJ82bN+f69espFZ8pNAYok7l5CT73h4gwaPsZ+PcyOyIREUkFqT4GKCYmJtbUdwBnZ+dY+4KJmM4zHzQaaX2+8V2484+58YiIiOmSlAA1adKEIUOGcPHiRVvZhQsXeOWVV2jatGmKBSeSYmo+D3nKwO2rsGWi2dGIiIjJkpQAffHFF9y4cYOiRYtSokQJSpYsSbFixbhx4waff/55SscoknyOztBqkvX5zq/h7yPmxiMiIqZK1jpA69ev59ixYxiGQfny5Xn88cdTMjbTaAxQJraoOxxdAUXrQ88V1q0zREQkU0jM77cWQoyDEqBM7J9z8GVNiAqHZ2ZDhfZmRyQiIikkVbbCmDJlCi+88AJubm5MmTLloXU1FV7SLW8/67YYWyfBuregVHNw8TA7KhERSWMJvgNUrFgxdu/eTe7cuSlWrFj8DVosnD59OsUCNIPuAGVyd29b7wKFnrfuGdb4TbMjEhGRFKAusGRSApQFHP4Rvu8Jjq4waCd4FzU7IhERSaZUXwfo3Xff5fbt27HK79y5w7vvvpuUJkXSVvl21oHQ0RHWrjAREclSknQHyNHRkeDgYPLly2dXfvXqVfLly0d0dMbebkB3gLKIv4/A9MfAiIYeP0KJxmZHJCIiyZDqd4AMw8ASx/ThAwcOkCtXrqQ0KZL28pe3LpAIsHoEREeaG4+IiKSZRO0G7+3tjcViwWKxULp0abskKDo6mps3b9K/f/8UD1Ik1TR6A/74Hq4cty6QWGeA2RGJiEgaSFQCNHnyZAzDoE+fPowdOxYvLy/bMRcXF4oWLUqdOnVSPEiRVOPuDU3fhhVDYMsEqPS0de8wERHJ1JI0Bmjr1q3UrVs3zg1RMwONAcpiYqLh6yYQvB+qdYd2X5odkYiIJEGqjwFq2LChLfm5c+cOYWFhdg+RDMXBEVp9YH2+by78tcfceEREJNUlKQG6ffs2gwYNIl++fHh6euLt7W33EMlwitSCys9an68eDjEx5sYjIiKpKkkJ0Ouvv86mTZuYOnUqrq6u/O9//2Ps2LH4+vry3XffpXSMImmj2Vhw8YQLu+HAArOjERGRVJSkBGjFihVMnTqVp59+GicnJ+rXr89bb73F+++/z7x581I6RpG0kd0HGg63Pt/wDoSHmhqOiIikniQlQNeuXbPtB5YjRw6uXbsGwGOPPcYvv/ySctGJpLVaL0HuknDrEmz9wOxoREQklSQpASpevDhnz54FoHz58ixevBiw3hnKmTNnSsUmkvacXKDlROvz36fD5ePmxiMiIqkiSQlQ7969OXDgAAAjR460jQV65ZVXeP3111M0QJE0V6oZlG4FMVGw5g3QfsEiIplOiuwGHxQUxO7duylRogRVqlRJibhMpXWAhKunYGptiL4Lz86Hsm3MjkhERB4hMb/fiVoJOj5FihShSJEiKdGUSPqQuwTUGQTbP4E1I6FEE3B2NzsqERFJIUnqAnv55ZeZMmVKrPIvvviCoUOHJjcmkfSh/quQ3Reun4MdX5gdjYiIpKAkJUBLliyhXr16scrr1q3LDz/8kOygRNIFV09o/p71+baPIfQvc+MREZEUk6QE6OrVq3Ybod6TI0cOrly5kuygRNKNik9BkboQdQfWjTY7GhERSSFJSoBKlizJmjVrYpWvXr2a4sWLJzsokXTDYoFWk8DiAIeXwpltZkckIiIpIEkJ0LBhwxg+fDhjxoxh69atbN26lbfffps33niDV155JVFtTZ06lWLFiuHm5oa/vz/btsX/AxMcHEzXrl0pU6YMDg4O8Y43WrJkCeXLl8fV1ZXy5cuzbNmyRMUkYqdAZfDvbX2+egRER5kbj4iIJFuSEqA+ffrw8ccf880339C4cWMaN27M3LlzmTZtGs8//3yC21m0aBFDhw5l1KhR7Nu3j/r169OqVSuCgoLirB8REUHevHkZNWpUvNPtAwMD6dy5Mz169ODAgQP06NGDTp068fvvvyflo4pYNXkL3L3h0mHYM9PsaEREJJmSvQ7Q5cuXcXd3x9PTM9Hn1qpVi+rVqzNt2jRbWbly5Wjfvj0TJkx46LmNGjWiatWqTJ482a68c+fOhIWFsXr1altZy5Yt8fb2ZsGChG1wqXWAJE67/gcrXwW3nDB4L2TLbXZEIiLyH4n5/U7SHaD/yps3b5KSn7t377Jnzx6aN29uV968eXN27NiR5HgCAwNjtdmiRYuHthkREUFYWJjdQyQW/96QvxKEX4evGsKeWRAdaXZUIiKSBAleCLF69eps3LgRb29vqlWrhsViibfu3r17H9nelStXiI6OJn/+/Hbl+fPnJyQkJKFhxRISEpLoNidMmMDYsWOT/J6SRTg4QrsvYMGzEHoeVgyB7Z9CwxFQqRM4psi6oiIikgYS/Dd2u3btcHV1BaB9+/YpFsCDiZRhGA9NrlKjzZEjRzJs2DDb67CwMAoXLpysGCST8q0KL++D3TOtq0T/cxZ+fMm6TlDDN6BiR2uiJCIi6VqCEyBvb28cHKw9Zr1796ZQoUK210mRJ08eHB0dY92ZuXTpUqw7OInh4+OT6DZdXV1tyZ3IIzm7Q50B4N8Tdn4Nv34GV/+Epf1g20fQaCSUexKS8f+HiIikrgT/DT1s2DDb2JhixYole8FDFxcX/P39Wb9+vV35+vXrqVu3bpLbrVOnTqw2161bl6w2ReLkkg0eGwpDD0Ljt8DNCy4fg+97wowGcGyldpIXEUmnEnwHyNfXlyVLltC6dWsMw+Cvv/4iPDw8zroJ3Rh12LBh9OjRg4CAAOrUqcNXX31FUFAQ/fv3B6xdUxcuXOC7776znbN//34Abt68yeXLl9m/fz8uLi6UL18egCFDhtCgQQMmTZpEu3bt+Omnn9iwYQPbt29P6EcVSRzX7NDwdaj5PPw2FQKnwt9/wMKu4FsNGo+Cko9bF1UUEZF0IcHT4L/66isGDx5MVFT8i8DdG2sTHR2d4ACmTp3KBx98QHBwMBUrVuTTTz+lQYMGAPTq1YuzZ8+yZcuW+wHH8SPi5+fH2bNnba9/+OEH3nrrLU6fPk2JEiUYP348HTt2THBMmgYvyXL7GuyYAr/PgMjb1rJCNaHJKCjWUImQiEgqSczvd6LWAbpx4wbnzp2jcuXKbNiwgdy5414HJb5FCjMKJUCSIm5ehl8nW9cPivr3bqlfPesdoaKxNxMWEZHkSbUE6J7Zs2fz7LPPZtqBw0qAJEXdCIFtn1hXkI6+ay0r3sg6bqhwDVNDExHJTFI9AcrslABJqgi9YJ0ltncOxPy7gGKp5tD4TetYIRERSZZUSYBy5crFiRMnyJMnD97e3g9dV+fatWuJizidUQIkqeqfc/DLB7B/ARj/jpcr08aaCPlUNDc2EZEMLDG/3wmeBfbpp5+SPXt22/PkLlYokmV5+0G7L+GxYbD1A/hjMRxfaX2Ub29dRyhfWbOjFBHJ1NQFFgfdAZI0dfk4bJkIh5f+W2CBSs9Yt9jIU9LU0EREMpJU3wx17969/PHHH7bXP/30E+3bt+fNN9/k7t27SWlSJOvKWwaemQkv7YCyTwCG9a7QlzXhxwHW7TZERCRFJSkBevHFFzlx4gQAp0+fpnPnznh4ePD9998zfPjwFA1QJMvIXwGenQcvbIXSLa3jg/bPg8/9rRuvhv5ldoQiIplGkhKgEydOULVqVQC+//57GjZsyPz585k1axZLlixJyfhEsh7fqtB1EfTbCCWaQEwU7JkFU6rBytcgLNjsCEVEMrwkJUCGYRATEwPAhg0baN26NQCFCxdO9h5hIvKvQgHQYxn0XgNF61vXENr1NUypCmvetC60KCIiSZKkBCggIIBx48YxZ84ctm7dSps2bQA4c+ZMsnZyF5E4+NWBXj9DzxVQuLZ1VenfvoTPKsP6MdatN0REJFGSlABNnjyZvXv3MmjQIEaNGkXJktaZKj/88IN2XRdJLcUaQJ810H0J+Fa37jP262SYXAk2jYM7182OUEQkw0jRafDh4eE4Ojri7OycUk2aQtPgJd0zDDixBjaPh5B/Z2S6ekHdQVCrP7jpeysiWU+qT4M/f/48f/11f0bKzp07GTp0KN99912GT35EMgSLBcq0ghd+gU5zIF95iAi1JkSfVYbtn8LdW2ZHKSKSbiUpAeratSubN28GICQkhGbNmrFz507efPNN3n333RQNUEQewsEByj8J/X+Fp76B3KXgzj+w4R2YXBl2fAGRd8yOUkQk3UlSAnTo0CFq1qwJwOLFi6lYsSI7duywTYUXkTTm4ACVnoYBv0GHGeBdDG5fgXWj4LOq8PtXEBVhdpQiIulGkhKgyMhIXF1dAes0+CeffBKAsmXLEhysNUpETOPoBFWehUG74MnPwasI3AyB1a9b1xHa/S1EabV2EZEkJUAVKlRg+vTpbNu2jfXr19OyZUsALl68SO7cuVM0QBFJAkdnqP4cDN4DbT6G7L4QdgF+fgW+8Id9cyE6yuwoRURMk6QEaNKkScyYMYNGjRrRpUsXqlSpAsDy5cttXWMikg44uUCNfvDyPmg5CbLlg+tB8NNA615jBxdDTLTZUYqIpLkkT4OPjo4mLCwMb29vW9nZs2fx8PAgX758KRagGTQNXjKtu7dh1/+s6wfdvmoty1MGGr0B5dtbxxKJiGRQifn9TtF1gDILJUCS6UXcgN9nwI7PIfy6tSx/RWg0Esq2sU6zFxHJYNIkAfrhhx9YvHgxQUFB3L1rP6hy7969SWky3VACJFlGeCj8Ng0Cv4SIMGtZgarQeBSUaqZESEQylFRfCHHKlCn07t2bfPnysW/fPmrWrEnu3Lk5ffo0rVq1SlLQImICNy9r99eQA1D/VXDOBsH7Yf4z8E0zOLXJuuq0iEgmk6Q7QGXLlmXMmDF06dKF7Nmzc+DAAYoXL87bb7/NtWvX+OKLL1Ij1jSjO0CSZd26Ar9+Bju/hqh/F1AsUheajIKij5kbm4jII6T6HaCgoCDbpqfu7u7cuHEDgB49erBgwYKkNCki6UG2PND8PesdoVovgaMrBO2AWW1g9pMQ9LvZEYqIpIgkJUA+Pj5cvWqdQeLn58dvv/0GwJkzZ9CYapFMIHt+aDXROn0+oC84OMOZrfBtc5j7FFzYY3aEIiLJkqQEqEmTJqxYsQKAvn378sorr9CsWTM6d+5Mhw4dUjRAETGRV0F44hN4ea91YUWLI/y5Ab5uAgu6QPBBsyMUEUmSJI0BiomJISYmBicnJ8C6H9j27dspWbIk/fv3x8XFJcUDTUsaAyQSj2unYesHcHARGDHWsnJPQuM3IV85c2MTkSxP6wAlkxIgkUe4fAK2ToJDSwADsEDFp6wzyvKUMjs6EcmiUiUBOngw4be6K1eunOC66ZESIJEE+vsIbJkAR5dbX1scoPKz0PB1yFXc3NhEJMtJlQTIwcEBi8XyyEHOFouF6OiMvbeQEiCRRAo+AJsnwInV1tcOTlC1KzR4HXIWMTc2EckyUiUBOnfuXIID8PPzS3Dd9EgJkEgS/bUHtrxvHSgN1tlj/j2tiyzm8DU3NhHJ9DQGKJmUAIkkU9BvsHk8nPnF+trRFWr0hXpDrVPsRURSQaovhDhhwgS+/fbbWOXffvstkyZNSkqTIpKZFKkNPVdAz5+hSB2IjoDfpsJnVWDdaLh11ewIRSSLS1ICNGPGDMqWLRurvEKFCkyfPj3ZQYlIJlGsPvReDT2WQcEA6/YaO6bAZ5Vh43tw5x+zIxSRLCpJCVBISAgFChSIVZ43b16Cg4OTHZSIZCIWC5RoAv02QNfFUKAK3L0J2z6CyZVhy0TrrvQiImkoSQlQ4cKF+fXXX2OV//rrr/j6aqCjiMTBYoHSLeCFrdB5LuSrABFh1mn0kyvDto8h4qbZUYpIFuGUlJP69evH0KFDiYyMpEmTJgBs3LiR4cOH8+qrr6ZogCKSyVgsUK4tlGkDR3603gG6chw2vguBU+Gxodb9x1w8zI5URDKxJM0CMwyDN954gylTpnD37l0A3NzcGDFiBG+//XaKB5nWNAtMJA3FRFtXlN4ywbrVBoBnfnhsGPj3Amc3U8MTkYwjzabB37x5k6NHj+Lu7k6pUqVwdXVNalPpihIgERNER8HBhdYtNq4HWctyFLSuIVStBzhl7D0GRST1pfk6QGFhYWzatIkyZcpQrlzG3xBRCZCIiaLuwv658MtHEHbBWuZVxLq9RpUu4Ohsbnwikm6l+jpAnTp14osvvgDgzp07BAQE0KlTJypXrsySJUuS0qSIiJWTCwT0gZf3QasPwdMHQoNg+WD4ogYcWGjtNhMRSYYkJUC//PIL9evXB2DZsmUYhsH169eZMmUK48aNS9EARSSLcnKFWi/AkP3QfDx45IF/zsCyF2Fqbeu4oZgYs6MUkQwqSQlQaGgouXLlAmDNmjU89dRTeHh40KZNG06ePJmiAYpIFufsDnUHwZAD8Pg74O4NV07AD31gej04shy0o4+IJFKS1wEKDAzk1q1brFmzhubNmwPwzz//4OamGRsikgpcPeGxV2DIQWg8Cly94NIRWNwDZjSA42uUCIlIgiUpARo6dCjdunWjUKFC+Pr60qhRI8DaNVapUqWUjE9ExJ5bDmg4HIYegAavg4snhByEBZ3hf4/DnxuVCInIIyV5Ftju3bs5f/48zZo1w9PTE4CVK1eSM2dO6tWrl6JBpjXNAhPJQG5dte4vtvMriLxtLStSBxq/CcUamBubiKSpNJ8Gn9koARLJgG5egu2TYfc3EBVuLStaH5q8Zd2dXkQyvVRJgIYNG8Z7771HtmzZGDZs2EPrfvLJJwmPNh1SAiSSgYUFW/cV2zsboq0r1VOiqXXcUCF/c2MTkVSVmN/vBO8Ftm/fPiIjI23P42OxWBLapIhIystRANp8BPWGWHec3zcXTm20Pkq3tHaNFahidpQiYjJ1gcVBd4BEMpFrZ+CXD+HAAjD+XTeoWEPwyGVuXJI8XoWgfAcoWN26wa4IGgOUbEqARDKhK39a9xn743tAf+1lGjn9oEIHqNgRfCorGcriUi0B6tOnT4LqffvttwltMl1SAiSSiV0+Dmd+0VT5jMyIgb92wfHVEHnrfnmuElDxKWsylC/j70spiZdqCZCDgwN+fn5Uq1aNh522bNmyhEebDikBEhHJAO7ehpNr4dBSOLnu/uw/gLzlrIlQhY6Qp6R5MUqaSrUEaMCAASxcuJAiRYrQp08funfvbtsSIzNRAiQiksFE3LCuBn54KZxcDzGR94/5VP43GeoA3kVNC1FSX6qOAYqIiGDp0qV8++237NixgzZt2tC3b1+aN2+eaWaAKQESEcnA7lyHYyutydDpLRATdf9YQX/rXaEKHcCroFkRSipJs0HQ586dY9asWXz33XdERkZy5MgR26rQGZkSIBGRTOL2NTi6HA4tgbPb788EBOuK4RU6Qvl2kD2/eTFKikmVdYDiYrFYsFgsGIZBTEzMo08QERFJSx65wL+X9XHj73+ToaUQtAOCAq2PNSPAr551AHW5JyFbbrOjljSQrC6w7du388QTT9C7d29atmyJg0OS9lZNd3QHSEQkkwu9AEd+tCZDF3bfL7c4QvFG1jFDZZ8A95wmBShJkSaDoHv37k337t3JnTvzZcpKgEREspB/zsHhZdZuspCD98sdXazbqFTsCGVagWt282KUBEnVafBFihShWrVqDx3wvHTp0oRHmw4pARIRyaKunrLeFTq8FC4duV/u5Aalmlm7yUq1ABcP82KUeKVaAtSrV68EzfSaOXNmQptMl5QAiYgIl47eT4au/nm/3DkblGlpHUBd8nFwdjMvRrGTobbCmDp1Kh9++CHBwcFUqFCByZMnU79+/Xjrb926lWHDhnH48GF8fX0ZPnw4/fv3tx2fNWsWvXv3jnXenTt3cHNL2JdUCZCIiNgYBoT8YU2EDi2F6+fuH3PNAWXbWJOh4o3AycW0MCUNZ4El16JFixg6dChTp06lXr16zJgxg1atWnHkyBGKFCkSq/6ZM2do3bo1zz//PHPnzuXXX39lwIAB5M2bl6eeespWL0eOHBw/ftzu3IQmPyIiInYsFihQ2fpoOgYu7LUmQ4eXQdgF60a7BxaAW04o19Y6ZqhoA3A09SdWHsHUO0C1atWievXqTJs2zVZWrlw52rdvz4QJE2LVHzFiBMuXL+fo0aO2sv79+3PgwAECAwMB6x2goUOHcv369STHpTtAIiLySDEx8NfOf7vJlsGtS/ePeeSxri9UsaN1vSEHR/PizEIS8/tt2rz1u3fvsmfPHpo3b25X3rx5c3bs2BHnOYGBgbHqt2jRgt27dxMZeX/Z85s3b+Ln50ehQoV44okn2Ldv30NjiYiIICwszO4hIiLyUA4OUKQ2tP4AXj0GPVeAf2/wyA23r8Dub2BWG/ikPKweAed3ahPedMS0BOjKlStER0eTP7/96pv58+cnJCQkznNCQkLirB8VFcWVK1cAKFu2LLNmzWL58uUsWLAANzc36tWrx8mTJ+ONZcKECXh5edkehQsXTuanExGRLMXBEYo1gLaT4dXj0H0pVO0Obl5wMwR+nw7fNIPJlWDdW9ZuNCVDpjK9g/LBWWWGYTx0pllc9f9bXrt2bWrXrm07Xq9ePapXr87nn3/OlClT4mxz5MiRDBs2zPY6LCxMSZCIiCSNozOUbGp9RH0KpzZZxwwdWwWh52HH59aHd7H7O9bnr2AdayRpxrQEKE+ePDg6Osa623Pp0qVYd3nu8fHxibO+k5NTvAsyOjg4UKNGjYfeAXJ1dcXV1TWRn0BEROQRnFysU+bLtITIO9ad6g8vte5c/88Z2Pax9ZGntDURqtgR8pYxO+oswbQuMBcXF/z9/Vm/fr1d+fr166lbt26c59SpUydW/XXr1hEQEICzs3Oc5xiGwf79+ylQoEDKBC4iIpIUzu5Q/kl4ZhYMPwVPf2vdbsPRFa6cgK0T4cuaMK0e/PIRXDttdsSZmqmzwBYtWkSPHj2YPn06derU4auvvuLrr7/m8OHD+Pn5MXLkSC5cuMB3330HWKfBV6xYkRdffJHnn3+ewMBA+vfvz4IFC2zT4MeOHUvt2rUpVaoUYWFhTJkyhTlz5vDrr79Ss2bNBMWlWWAiIpJmwsPg+CrrbLJTmyDm/qQeClS1rj5doQPk1NCMR8kw6wB17tyZq1ev8u677xIcHEzFihVZtWoVfn5+AAQHBxMUFGSrX6xYMVatWsUrr7zCl19+ia+vL1OmTLFbA+j69eu88MILhISE4OXlRbVq1fjll18SnPyIiIikKbccUOVZ6+POP3D0Z+u+ZGd+geD91sf60VCoprWLrHx7yKFejeQyfSXo9Eh3gERExHS3rsCRn6xrDJ3dDtz7ubaAXz2o2AHKtQPPvGZGma5kqK0w0iMlQCIikq6EBf+bDC2F87/fL7c4WKffV+hoXYXaI5d5MaYDSoCSSQmQiIikW9fPw5EfrWOGLu69X+7gBCWaWJOhsq2taxBlMUqAkkkJkIiIZAjXTlu7yA4tg7//uF/u6AqlmlkHT5dpBS7ZzIsxDSkBSiYlQCIikuFcPnF/x/or/9kQ3MkdSrewDqAu1dw6HT+TUgKUTEqAREQkwzIMuHTk301al9qvJ+TiCWVaW5OhEk3AKXMtAqwEKJmUAImISKZgGNZp9IeWwuEfIfT+0jK4ekG5J6zJULGG1i08MjglQMmkBEhERDIdw4C/dlvvCh1eBjeC7x9zz2VdpbpCRyj6mHVz1wxICVAyKQESEZFMLSYGggKtydCRn+DW5fvHPPND+XbWZKhwLXAwbdesRFMClExKgEREJMuIjoJz262rTx9dYV2N+p4cBa0rT1d8CgpWT/c71isBSiYlQCIikiVFR8LpLdYxQ8d+hoiw+8dy+lmn1VfsCD6V02UypAQomZQAiYhIlhcZDqc2WpOh46sh8tb9Y7lKWO8KVewI+cqZF+MDlAAlkxIgERGR/7h7G06us3aTnVwHUeH3j+UtZ02EKnSEPCXNixElQMmmBEhERCQeETfg+BrrAOo/N0D03fvHfCr/mwx1AO+iaR6aEqBkUgIkIiKSAHeuw/FV1jtDp7dATNT9YwX9rXeFKnQAr4JpEo4SoGRSAiQiIpJIt6/B0eXWMUNnt4ERc/9YkTrWZKh8O8ieP9VCUAKUTEqAREREkuHmJev6QoeWWtcb4t9Uw+IAfvWsA6jLPQnZcqfo2yoBSiYlQCIiIikk7KJ1G47DS+GvXffLPX1g2NEUXWgxMb/fTin2riIiIiIPyuELdQZYH/+cs27DcXgpFAwwdZVp3QGKg+4AiYiIpLLoyBTfgDUxv98ZZ4MPERERyTxM3n1eCZCIiIhkOUqAREREJMtRAiQiIiJZjhIgERERyXKUAImIiEiWowRIREREshwlQCIiIpLlKAESERGRLEcJkIiIiGQ5SoBEREQky1ECJCIiIlmOEiARERHJcpQAiYiISJajBEhERESyHCVAIiIikuUoARIREZEsRwmQiIiIZDlKgERERCTLUQIkIiIiWY4SIBEREclylACJiIhIlqMESERERLIcJUAiIiKS5SgBEhERkSzHyewAREREJHOLiTG4cjOCC9fvEBwazsXrd/D2cOEp/0KmxaQESERERJIlLDySi9fvEHw9nAvX71ifh4b/m/DcISQ0nMhow+4cfz9vJUAiIiKSPkVERRNyL5m5br17c/HfuzjBoXe4eD2cmxFRj2zHwQL5c7jhm9OdAl5ulCuQIw2ij58SIBERkSwqrq6pi9fvJzcXrodz5WZEgtrK6eGMr5c7vjnd8c15P9EpmNOdAjndyZ/dFSfH9DP0WAmQiIhIJvVg19S9OzbWuzhxd03Fxc3ZwZbcFPByeyDJsT73cMlYKUXGilZERESA+11TD96xSW7XVEG7JMf68PZwxmKxpMGnSjtKgERERNKZlOya8vZw/vcuTcbomkorSoBERETSmLqmzKerIiIikoLi65qyJjlJ65ryzemOr5fbA4lO5uyaSitKgERERBLoXtfURVu3lLqmMiolQCIiIv8KC4+0rXWTWl1T98rUNWUuXX0REckSHtU1FXw9nBvqmsoylACJiEiGF1/XlG3cTWg4l2+oa0ruUwIkIiLpimEY3ImM5mZ4FDciorgZHsXNiChuhEdy49/nV25G3N93KpldU9bExk1dU1mM/pRFRCRFxMQY3LprTVD+m7xYk5b7yYstofnP8/8mOTcjooh5dC4Ti4MFfHK4UUBdU5IASoBERLK4qOgYbkVEcyMiMt7k5cG7MdZkxT55ScjU7sRwdLDg6eqEp6sT2d2s//X897+5srmoa0qSRQmQiEgGdTcq5j8JS2Ss5ORhyct/y+5ERqdoXM6OFrK7OduSF083J7L/J3mxvXZ1wvPfev9NcLK7OZHd1Rk3ZwfdrZFUY3oCNHXqVD788EOCg4OpUKECkydPpn79+vHW37p1K8OGDePw4cP4+voyfPhw+vfvb1dnyZIljB49mlOnTlGiRAnGjx9Phw4dUvujiIg8kmEYRETF2N09eVTyYne35T/Jy92omBSNzdXJIdadluxuznEnL25OeLrGTl48XZ1wdVLiIumfqQnQokWLGDp0KFOnTqVevXrMmDGDVq1aceTIEYoUKRKr/pkzZ2jdujXPP/88c+fO5ddff2XAgAHkzZuXp556CoDAwEA6d+7Me++9R4cOHVi2bBmdOnVi+/bt1KpVK60/oohkEoZhcPtudBxdP7HHtoTZXkfGmbxEJWWAy0N4uDjGfafF1dmWnGR3+29SEzt5yebqhIuTuo8k67AYhpGy/ycmQq1atahevTrTpk2zlZUrV4727dszYcKEWPVHjBjB8uXLOXr0qK2sf//+HDhwgMDAQAA6d+5MWFgYq1evttVp2bIl3t7eLFiwIEFxhYWF4eXlRWhoKDly5Ejqx4vdbngkf/wVmmLtiUjSRP475iW+gbk3wu8nL/futtxK4sDc+Fgs4Olif2fF7m6Kq3OcXUc53O4f83R1IpuLo8a9iPwrMb/fpt0Bunv3Lnv27OGNN96wK2/evDk7duyI85zAwECaN29uV9aiRQu++eYbIiMjcXZ2JjAwkFdeeSVWncmTJ8cbS0REBBER99eHCAsLS+SnSZg/L92k2/9+T5W2RSRtOFi43zWUyOQlu22MizMezo44OKibSMQspiVAV65cITo6mvz589uV58+fn5CQkDjPCQkJibN+VFQUV65coUCBAvHWia9NgAkTJjB27NgkfpKEc3NypEz+7Kn+PiLycA4OFrvk5F730EMH5v77X3dnR41vEckETB8E/eBfJIZhPPQvl7jqP1ie2DZHjhzJsGHDbK/DwsIoXLjwo4NPpPK+OVj7SoMUb1dEREQSx7QEKE+ePDg6Osa6M3Pp0qVYd3Du8fHxibO+k5MTuXPnfmid+NoEcHV1xdXVNSkfQ0RERDIg00bOubi44O/vz/r16+3K169fT926deM8p06dOrHqr1u3joCAAJydnR9aJ742RUREJOsxtQts2LBh9OjRg4CAAOrUqcNXX31FUFCQbV2fkSNHcuHCBb777jvAOuPriy++YNiwYTz//PMEBgbyzTff2M3uGjJkCA0aNGDSpEm0a9eOn376iQ0bNrB9+3ZTPqOIiIikP6YmQJ07d+bq1au8++67BAcHU7FiRVatWoWfnx8AwcHBBAUF2eoXK1aMVatW8corr/Dll1/i6+vLlClTbGsAAdStW5eFCxfy1ltvMXr0aEqUKMGiRYu0BpCIiIjYmLoOUHqVWusAiYiISOpJzO+3Vs8SERGRLEcJkIiIiGQ5SoBEREQky1ECJCIiIlmOEiARERHJcpQAiYiISJajBEhERESyHCVAIiIikuUoARIREZEsx9StMNKre4tjh4WFmRyJiIiIJNS93+2EbHKhBCgON27cAKBw4cImRyIiIiKJdePGDby8vB5aR3uBxSEmJoaLFy+SPXt2LBaL2eGkuLCwMAoXLsz58+e111kK0PVMObqWKUvXM+XoWqas1LqehmFw48YNfH19cXB4+Cgf3QGKg4ODA4UKFTI7jFSXI0cO/Y+cgnQ9U46uZcrS9Uw5upYpKzWu56Pu/NyjQdAiIiKS5SgBEhERkSxHCVAW5OrqypgxY3B1dTU7lExB1zPl6FqmLF3PlKNrmbLSw/XUIGgRERHJcnQHSERERLIcJUAiIiKS5SgBEhERkSxHCZCIiIhkOUqAMqkJEyZQo0YNsmfPTr58+Wjfvj3Hjx+3q2MYBu+88w6+vr64u7vTqFEjDh8+bFLEGcuECROwWCwMHTrUVqbrmXAXLlyge/fu5M6dGw8PD6pWrcqePXtsx3UtEy4qKoq33nqLYsWK4e7uTvHixXn33XeJiYmx1dH1jNsvv/xC27Zt8fX1xWKx8OOPP9odT8h1i4iIYPDgweTJk4ds2bLx5JNP8tdff6Xhp0g/HnY9IyMjGTFiBJUqVSJbtmz4+vry3HPPcfHiRbs20vJ6KgHKpLZu3crAgQP57bffWL9+PVFRUTRv3pxbt27Z6nzwwQd88sknfPHFF+zatQsfHx+aNWtm2wtN4rZr1y6++uorKleubFeu65kw//zzD/Xq1cPZ2ZnVq1dz5MgRPv74Y3LmzGmro2uZcJMmTWL69Ol88cUXHD16lA8++IAPP/yQzz//3FZH1zNut27dokqVKnzxxRdxHk/IdRs6dCjLli1j4cKFbN++nZs3b/LEE08QHR2dVh8j3XjY9bx9+zZ79+5l9OjR7N27l6VLl3LixAmefPJJu3ppej0NyRIuXbpkAMbWrVsNwzCMmJgYw8fHx5g4caKtTnh4uOHl5WVMnz7drDDTvRs3bhilSpUy1q9fbzRs2NAYMmSIYRi6nokxYsQI47HHHov3uK5l4rRp08bo06ePXVnHjh2N7t27G4ah65lQgLFs2TLb64Rct+vXrxvOzs7GwoULbXUuXLhgODg4GGvWrEmz2NOjB69nXHbu3GkAxrlz5wzDSPvrqTtAWURoaCgAuXLlAuDMmTOEhITQvHlzWx1XV1caNmzIjh07TIkxIxg4cCBt2rTh8ccftyvX9Uy45cuXExAQwDPPPEO+fPmoVq0aX3/9te24rmXiPPbYY2zcuJETJ04AcODAAbZv307r1q0BXc+kSsh127NnD5GRkXZ1fH19qVixoq5tAoSGhmKxWGx3f9P6emoz1CzAMAyGDRvGY489RsWKFQEICQkBIH/+/HZ18+fPz7lz59I8xoxg4cKF7N27l127dsU6puuZcKdPn2batGkMGzaMN998k507d/Lyyy/j6urKc889p2uZSCNGjCA0NJSyZcvi6OhIdHQ048ePp0uXLoC+m0mVkOsWEhKCi4sL3t7esercO1/iFh4ezhtvvEHXrl1tm6Gm9fVUApQFDBo0iIMHD7J9+/ZYxywWi91rwzBilQmcP3+eIUOGsG7dOtzc3OKtp+v5aDExMQQEBPD+++8DUK1aNQ4fPsy0adN47rnnbPV0LRNm0aJFzJ07l/nz51OhQgX279/P0KFD8fX1pWfPnrZ6up5Jk5Trpmv7cJGRkTz77LPExMQwderUR9ZPreupLrBMbvDgwSxfvpzNmzdTqFAhW7mPjw9ArKz60qVLsf7FI9Zbs5cuXcLf3x8nJyecnJzYunUrU6ZMwcnJyXbNdD0frUCBApQvX96urFy5cgQFBQH6bibW66+/zhtvvMGzzz5LpUqV6NGjB6+88goTJkwAdD2TKiHXzcfHh7t37/LPP//EW0fsRUZG0qlTJ86cOcP69ettd38g7a+nEqBMyjAMBg0axNKlS9m0aRPFihWzO16sWDF8fHxYv369rezu3bts3bqVunXrpnW46V7Tpk35448/2L9/v+0REBBAt27d2L9/P8WLF9f1TKB69erFWpLhxIkT+Pn5AfpuJtbt27dxcLD/q9zR0dE2DV7XM2kSct38/f1xdna2qxMcHMyhQ4d0beNwL/k5efIkGzZsIHfu3HbH0/x6pviwakkXXnrpJcPLy8vYsmWLERwcbHvcvn3bVmfixImGl5eXsXTpUuOPP/4wunTpYhQoUMAICwszMfKM47+zwAxD1zOhdu7caTg5ORnjx483Tp48acybN8/w8PAw5s6da6uja5lwPXv2NAoWLGj8/PPPxpkzZ4ylS5caefLkMYYPH26ro+sZtxs3bhj79u0z9u3bZwDGJ598Yuzbt882Kykh161///5GoUKFjA0bNhh79+41mjRpYlSpUsWIiooy62OZ5mHXMzIy0njyySeNQoUKGfv377f7XYqIiLC1kZbXUwlQJgXE+Zg5c6atTkxMjDFmzBjDx8fHcHV1NRo0aGD88ccf5gWdwTyYAOl6JtyKFSuMihUrGq6urkbZsmWNr776yu64rmXChYWFGUOGDDGKFCliuLm5GcWLFzdGjRpl96Oi6xm3zZs3x/n3ZM+ePQ3DSNh1u3PnjjFo0CAjV65chru7u/HEE08YQUFBJnwa8z3sep45cybe36XNmzfb2kjL62kxDMNI+ftKIiIiIumXxgCJiIhIlqMESERERLIcJUAiIiKS5SgBEhERkSxHCZCIiIhkOUqAREREJMtRAiQiIiJZjhIgEUm3GjVqxNChQxNc/+zZs1gsFvbv359qMSXGO++8Q9WqVc0OQ0TioIUQRSTZHrVTc8+ePZk1a1ai27127RrOzs5kz549QfWjo6O5fPkyefLkwcnJKdHvl9Ju3rxJRERErD2PRMR8SoBEJNn+u2P2okWLePvtt+02PHV3d8fLy8v2OjIyEmdn5zSNUUTkv9QFJiLJ5uPjY3t4eXlhsVhsr8PDw8mZMyeLFy+mUaNGuLm5MXfuXK5evUqXLl0oVKgQHh4eVKpUiQULFti1+2AXWNGiRXn//ffp06cP2bNnp0iRInz11Ve24w92gW3ZsgWLxcLGjRsJCAjAw8ODunXrxtqNfty4ceTLl4/s2bPTr18/3njjjQR3XW3ZsoWaNWuSLVs2cubMSb169Th37hwQuwvMYrHEehQtWtR2/MiRI7Ru3RpPT0/y589Pjx49uHLlSoLiEJHEUQIkImlixIgRvPzyyxw9epQWLVoQHh6Ov78/P//8M4cOHeKFF16gR48e/P777w9t5+OPPyYgIIB9+/YxYMAAXnrpJY4dO/bQc0aNGsXHH3/M7t27cXJyok+fPrZj8+bNY/z48UyaNIk9e/ZQpEgRpk2blqDPFBUVRfv27WnYsCEHDx4kMDCQF154Id4uweDgYNvjzz//pGTJkjRo0MB2rGHDhlStWpXdu3ezZs0a/v77bzp16pSgWEQkkVJli1URybJmzpxpeHl52V7f2wV68uTJjzy3devWxquvvmp73bBhQ2PIkCG2135+fkb37t1tr2NiYox8+fIZ06ZNs3uvffv2GYZxf3fqDRs22M5ZuXKlARh37twxDMMwatWqZQwcONAujnr16hlVqlR5ZLxXr141AGPLli1xHh8zZkyc7cTExBgdOnQw/P39jdu3bxuGYRijR482mjdvblfv/PnzBmAcP378kbGISOLoDpCIpImAgAC719HR0YwfP57KlSuTO3duPD09WbduHUFBQQ9tp3Llyrbn97raLl26lOBzChQoAGA75/jx49SsWdOu/oOv45MrVy569epFixYtaNu2LZ999hnBwcGPPO/NN98kMDCQH3/8EXd3dwD27NnD5s2b8fT0tD3Kli0LwKlTpxIUj4gknBIgEUkT2bJls3v98ccf8+mnnzJ8+HA2bdrE/v37adGiBXfv3n1oOw8OnrZYLMTExCT4nHvdU/8958EuKyMRc0NmzpxJYGAgdevWZdGiRZQuXZrffvst3vpz587l008/ZdmyZRQqVMhWHhMTQ9u2bdm/f7/d4+TJk7ZuMhFJOUqARMQU27Zto127dnTv3p0qVapQvHhxTp48meZxlClThp07d9qV7d69O1FtVKtWjZEjR7Jjxw4qVqzI/Pnz46wXGBhIv379mDFjBrVr17Y7Vr16dQ4fPkzRokUpWbKk3ePB5FFEkk8JkIiYomTJkqxfv54dO3Zw9OhRXnzxRbvp9Gll8ODBfPPNN8yePZuTJ08ybtw4Dh48+Mi1jQDOnDnDyJEjCQwM5Ny5c6xbt44TJ05Qrly5WHVDQkLo0KEDzz77LC1atCAkJISQkBAuX74MwMCBA7l27RpdunRh586dnD59mnXr1tGnTx+io6NT/HOLZHXmrxQmIlnS6NGjOXPmDC1atMDDw4MXXniB9u3bExoamqZxdOvWjdOnT/Paa68RHh5Op06d6NWrV6y7QnHx8PDg2LFjzJ49m6tXr1KgQAEGDRrEiy++GKvusWPH+Pvvv5k9ezazZ8+2lfv5+XH27Fl8fX359ddfGTFiBC1atCAiIgI/Pz9atmyJg4P+rSqS0rQQoojIA5o1a4aPjw9z5swxOxQRSSW6AyQiWdrt27eZPn06LVq0wNHRkQULFrBhwwbWr19vdmgikop0B0hEsrQ7d+7Qtm1b9u7dS0REBGXKlOGtt96iY8eOAHh6esZ77urVq6lfv35ahSoiKUgJkIjIQ/z555/xHitYsKBtHR8RyViUAImIiEiWo6kFIiIikuUoARIREZEsRwmQiIiIZDlKgERERCTLUQIkIiIiWY4SIBEREclylACJiIhIlqMESERERLKc/wPRbC/9ffb/nwAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc = learn_curve(X,y,10000)\n",
"print(f'Cross Validation Accuracies:\\n{\"-\"*25}\\n{list(lc[\"cv_scores\"])}\\n\\n\\\n",
"Mean Cross Validation Accuracy:\\n{\"-\"*25}\\n{np.mean(lc[\"cv_scores\"])}\\n\\n\\\n",
"Standard Deviation of Cross Validation Accuracy:\\n{\"-\"*25}\\n{np.std(lc[\"cv_scores\"])} (High Variance)\\n\\n\\\n",
"Training Accuracy:\\n{\"-\"*15}\\n{lc[\"train_score\"]}\\n\\n')\n",
"sns.lineplot(data=lc[\"learning_curve\"],x=\"Training_size\",y=\"value\",hue=\"variable\")\n",
"plt.title(\"Learning Curve of an Overfit Model\")\n",
"plt.ylabel(\"Misclassification Rate/Loss\");"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"The standard deviation in cross validation accuracy is high compared to underfit and good fit model. Training accuracy is higher than cross validation accuracy, typical to an overfit model, but not too high to detect overfitting. But Overfitting can be detected from the learning curve."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpreting the training loss\n",
"Learning curve of an overfit model has a very low training loss at the beginning which gradually increases very slightly upon adding training examples and doesn't flatten."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpreting the validation loss\n",
"Learning curve of an overfit model has a high validation loss at the beginning which gradually lowers upon adding training examples and doesn't flatten, indicating addition of more training examples can improve the model performance on unseen data"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also see that the training and validation losses are far away from each other, which may come close to each other upon adding additional training data"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"**Typical Features**\n",
"* Train and Validation loss far away from each other.\n",
"* Gradually decreasing validation loss (without flattening)\n",
"Very low training loss that's very slightly increasing"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning Curve of an Underfit Model"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Below we'll use the function created above to get an underfit model. We'll set the inverse regularization variable/parameter 'c' to 1/10000 (low value of 'c' causes underfitting)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross Validation Accuracies:\n",
"-------------------------\n",
"[0.7666666666666667, 0.8, 0.8, 0.8, 0.7666666666666667]\n",
"\n",
"Mean Cross Validation Accuracy:\n",
"-------------------------\n",
"0.7866666666666667\n",
"\n",
"Standard Deviation of Cross Validation Accuracy:\n",
"-------------------------\n",
"0.01632993161855452 (Low variance)\n",
"\n",
"Training Accuracy:\n",
"---------------\n",
"0.8133333333333334\n",
"\n",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc = learn_curve(X,y,1/10000)\n",
"print(f'Cross Validation Accuracies:\\n{\"-\"*25}\\n{list(lc[\"cv_scores\"])}\\n\\n\\\n",
"Mean Cross Validation Accuracy:\\n{\"-\"*25}\\n{np.mean(lc[\"cv_scores\"])}\\n\\n\\\n",
"Standard Deviation of Cross Validation Accuracy:\\n{\"-\"*25}\\n{np.std(lc[\"cv_scores\"])} (Low variance)\\n\\n\\\n",
"Training Accuracy:\\n{\"-\"*15}\\n{lc[\"train_score\"]}\\n\\n')\n",
"sns.lineplot(data=lc[\"learning_curve\"],x=\"Training_size\",y=\"value\",hue=\"variable\")\n",
"plt.title(\"Learning Curve of an Underfit Model\")\n",
"plt.ylabel(\"Misclassification Rate/Loss\");"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"The standard deviation in cross validation accuracy is low compared to overfit and good fit model. Underfitting can be detected from the learning curve."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpreting the training loss\n",
"Learning curve of an underfit model has a low training loss at the beginning which gradually increases upon adding training examples and suddenly falls to the minimum at the end."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpreting the validation loss\n",
"Learning curve of an underfit model has a high validation loss at the beginning which gradually lowers upon adding training examples and suddenly falls to the minimum at the end, indicating addition of more training examples can't improve the model performance on unseen data"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also see that the training and validation losses are very close to each other at the end. Adding additional training examples doesn't improve the performance on unseen data."
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"**Typical Features**\n",
"* Increasing Training Loss.\n",
"* Training and Validation Loss very close to each other at the end\n",
"Sudden dip in the training and validation losses at the end"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(3,3,figsize=(15,26))\n",
"r=c=0\n",
"for n,i in enumerate([0.0001,0.001,0.01,0.1,1,10,100,1000,10000]):\n",
" lc = learn_curve(X,y,i)\n",
" sns.lineplot(data=lc[\"learning_curve\"],x=\"Training_size\",y=\"value\",hue=\"variable\",ax=ax[r,c])\n",
" ax[r,c].set_title(f'C: {i:.4f}\\nTraining Accuracy: {lc[\"train_score\"]:.1f}\\nValidation Accuracy: {np.mean(lc[\"cv_scores\"]):.1f}')\n",
" ax[r,c].set_ylabel(\"loss\")\n",
" c+=1\n",
" if (n+1)%3==0:\n",
" c=0\n",
" r += 1\n",
"plt.show() "
]
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"## Acknowledgments\n",
"\n",
"Thanks to [KSV MURALIDHAR](https://www.kaggle.com/ksvmuralidhar) for creating the open-source course [Learning Curve To Identify Overfit & Underfit](https://www.kaggle.com/code/ksvmuralidhar/learning-curve-to-identify-overfit-underfit/notebook). It inspires the majority of the content in this chapter."
]
}
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