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@kwinkunks
Created January 19, 2023 09:20
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A notebook showing a simple data science exploration, but with mis-steps for discussion and teaching purposes
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{
"cells": [
{
"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",
"\n",
"from sklearn.svm import SVC\n",
"from sklearn.metrics import accuracy_score\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"from mlutils import decision_regions\n",
"\n",
"np.set_printoptions(suppress=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mis-steps in machine learning\n",
"\n",
"First we'll import some data. I'm using an extract from the Rock Property Catalog, https://subsurfwiki.org/wiki/Rock_Property_Catalog"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Vp</th>\n",
" <th>Vs</th>\n",
" <th>rho</th>\n",
" <th>Lithology</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>3045.6</td>\n",
" <td>1595.7</td>\n",
" <td>2.109121</td>\n",
" <td>sandstone</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>3000.6</td>\n",
" <td>1517.1</td>\n",
" <td>2.090342</td>\n",
" <td>sandstone</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>3363.6</td>\n",
" <td>2041.5</td>\n",
" <td>2.131990</td>\n",
" <td>sandstone</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>3195.3</td>\n",
" <td>1606.2</td>\n",
" <td>2.184939</td>\n",
" <td>sandstone</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>4237.5</td>\n",
" <td>2448.6</td>\n",
" <td>2.472231</td>\n",
" <td>sandstone</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Vp Vs rho Lithology\n",
"0 3045.6 1595.7 2.109121 sandstone\n",
"1 3000.6 1517.1 2.090342 sandstone\n",
"2 3363.6 2041.5 2.131990 sandstone\n",
"3 3195.3 1606.2 2.184939 sandstone\n",
"4 4237.5 2448.6 2.472231 sandstone"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.read_csv(\"https://geocomp.s3.amazonaws.com/data/RPC_simple.csv\")\n",
"\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"X = df[['Vp', 'rho']].values\n",
"y = df.Lithology.values"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[3045.6 , 2.10912059],\n",
" [3000.6 , 2.09034201],\n",
" [3363.6 , 2.13198998],\n",
" [3195.3 , 2.18493923],\n",
" [4237.5 , 2.47223077]])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X[:5]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array(['sandstone', 'shale'], dtype=object)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.unique(y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's usually easier to look at a plot:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7fc8f4b7c7f0>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def is_sand(y):\n",
" return y == 'sandstone'\n",
"\n",
"plt.scatter(*X.T, c=is_sand(y), cmap='bwr')\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A linear model: SVM\n",
"\n",
"The **support vector machine** or SVM is a good model to start supervised classification with. It attempts to separate the classes with lines."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"svc = SVC(kernel='linear').fit(X, y)\n",
"\n",
"y_pred = svc.predict(X)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"extent = [1400, 6500, 1.9, 2.9]\n",
"y_pred, y_all = decision_regions(svc, X, y, extent, step=(2, 0.005))\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"plt.imshow(y_all <= 0.0, extent=extent, origin='lower', aspect='auto', alpha=0.5, interpolation='none')\n",
"plt.scatter(*X.T, c=is_sand(y), s=80, cmap='bwr')\n",
"plt.scatter(*X.T, c=is_sand(y_pred))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.92"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"accuracy_score(y, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h2>❓ What do we think of this?</h2>\n",
"<p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----\n",
"\n",
"## Validation\n",
"\n",
"### We only tested the model performance against the training data. Some things are hard to validate (e.g. not having much data, or unsupervised learning)... maybe we have to make up some rocks:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array(['shale'], dtype=object)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svc.predict([[3000, 2.5]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What could we do about it?\n",
"\n",
"<p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p>\n",
"\n",
"Split off the first 300 rows:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc8f4219f10>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"X_train, X_val = X[:300], X[300:]\n",
"y_train, y_val = y[:300], y[300:]\n",
"\n",
"plt.scatter(*X_train.T, label='train') # Blue points.\n",
"plt.scatter(*X_val.T, label='val') # Orange points.\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p>\n",
"\n",
"That's no good. The validation data (orange) does not contain any sandstone at all:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False, False, False, False, False, False, False, False, False,\n",
" False])"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_val == 'sandstone'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So let's use a random split instead:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc8f41b72e0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"X_train, X_val, y_train, y_val = train_test_split(X, y, random_state=33, test_size=0.25)\n",
"\n",
"plt.scatter(*X_train.T, label='train')\n",
"plt.scatter(*X_val.T, label='val')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### ❓ Can you think of an occasion when a random split might not be okay?\n",
"\n",
"<p>&nbsp;</p>\n",
"\n",
"### ❓ Will the model be better or worse now?\n",
"\n",
"<p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p>\n",
"\n",
"Because we're using less data to train, and because we're no longer checking the performance against data we trained on, the model gets a bit worse... but maybe we trust it more."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.88\n"
]
}
],
"source": [
"svc = SVC(kernel='linear')\n",
"\n",
"svc.fit(X_train, y_train)\n",
"\n",
"y_pred = svc.predict(X_val)\n",
"\n",
"print(accuracy_score(y_val, y_pred))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.9133333333333333\n"
]
}
],
"source": [
"y_pred_ = svc.predict(X_train)\n",
"\n",
"print(accuracy_score(y_train, y_pred_))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fc8f4118b50>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred, y_all = decision_regions(svc, X_val, y_val, extent, step=(2, 0.005))\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"plt.imshow(y_all <= 0.0, extent=extent, origin='lower', aspect='auto', alpha=0.5, interpolation='none')\n",
"plt.scatter(*X_train.T, c=is_sand(y_train), marker='+', cmap='bwr', alpha=0.50)\n",
"plt.scatter(*X_val.T, c=is_sand(y_val), s=80, cmap='bwr')\n",
"plt.scatter(*X_val.T, c=is_sand(y_pred))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"## A more complex model\n",
"\n",
"Notice that the model is linear (look carefully at the boundary).\n",
"\n",
"### ❓ Will a non-linear model do better or worse?\n",
"\n",
"<p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p>\n",
"\n",
"Let's try the default non-linear SVM, which uses a 'radial basis function' kernel."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.45\n"
]
}
],
"source": [
"svc = SVC(kernel='rbf')\n",
"\n",
"svc.fit(X_train, y_train)\n",
"\n",
"y_pred = svc.predict(X_val)\n",
"\n",
"print(accuracy_score(y_val, y_pred))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fc8f4a4b820>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred, y_all = decision_regions(svc, X_val, y_val, extent, step=(2, 0.005))\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"plt.imshow(y_all <= 0.0, extent=extent, origin='lower', aspect='auto', alpha=0.5, interpolation='none')\n",
"plt.scatter(*X_train.T, c=is_sand(y_train), marker='+', cmap='bwr', alpha=0.50)\n",
"plt.scatter(*X_val.T, c=is_sand(y_val), s=80, cmap='bwr')\n",
"plt.scatter(*X_val.T, c=is_sand(y_pred))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### ❓ The model is terrible. Why?\n",
"\n",
"<p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p>"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1265.59752335, 6218.11440365, 1.9671286638887755, 2.8640572125634542)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*X.T, c=is_sand(y), s=20*(1+is_sand(y)), cmap='bwr')\n",
"plt.axis('equal') # <-- So we can see the data space as sklearn 'sees' it."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-500.0, 8000.0, -2500.0, 2500.0)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred, y_all = decision_regions(svc, X_val, y_val, [-500, 8000, -2500, 2500], step=(20, 20))\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"plt.imshow(y_all <= 0.0, extent=[-500, 8000, -2500, 2500], origin='lower', aspect='auto', alpha=0.5, interpolation='none')\n",
"plt.scatter(*X_train.T, c=is_sand(y_train), s=20*(1+is_sand(y_train)), cmap='bwr')\n",
"plt.axis('equal') # <-- So we can see the data space as sklearn 'sees' it."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"## Standardization\n",
"\n",
"We gave the model our raw data. We get away with it with the linear model, but any algorithms that depend on distance — either in the learning algorithm, or the cost function, or in regularization — would prefer to have standardized data. That way, they work in 'Z-score' space. (When you plot with `matplotlib` it's doing a min/max scaling on both axes so that the points look reasonable. It's a similar idea.)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"scaler = StandardScaler()\n",
"\n",
"scaler.fit(X_train)\n",
"\n",
"X_train = scaler.transform(X_train)\n",
"X_val = scaler.transform(X_val)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*X_train.T, label='train')\n",
"plt.scatter(*X_val.T, label='val')\n",
"plt.legend()\n",
"plt.axis('equal') # <-- So we can see the data space as sklearn 'sees' it.\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The linear model should do about as well as before:"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.89\n"
]
}
],
"source": [
"svc = SVC(kernel='linear')\n",
"\n",
"svc.fit(X_train, y_train)\n",
"\n",
"y_pred = svc.predict(X_val)\n",
"\n",
"print(accuracy_score(y_val, y_pred))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But the non-linear model will be much better:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.96\n"
]
}
],
"source": [
"svc = SVC(kernel='rbf')\n",
"\n",
"svc.fit(X_train, y_train)\n",
"\n",
"y_pred = svc.predict(X_val)\n",
"\n",
"print(accuracy_score(y_val, y_pred))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-2.5, 2.5)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"extent = [-3, 3, -3, 3]\n",
"\n",
"y_pred, y_all = decision_regions(svc, X_val, y_val, extent, step=(0.01, 0.01))\n",
"\n",
"plt.figure(figsize=(10, 10))\n",
"plt.imshow(y_all <= 0.0, extent=extent, origin='lower', aspect='auto', alpha=0.5, interpolation='none')\n",
"plt.scatter(*X_train.T, c=is_sand(y_train), marker='+', cmap='bwr', alpha=0.5)\n",
"plt.scatter(*X_val.T, c=is_sand(y_val), s=80, cmap='bwr')\n",
"plt.scatter(*X_val.T, c=is_sand(y_pred))\n",
"plt.axis('equal')\n",
"plt.xlim(-2.5, 2.5); plt.ylim(-2.5, 2.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice at the bottom that the model is still not suitable for extrapolation."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"## Untuned model\n",
"\n",
"We didn't try to adjust hyperparameters to get a better fit. Turns out, if you do this, the model does better with a different value for `C`:"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.9, 1.0)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"vals = []\n",
"for C in (Cs := np.logspace(-3, 4, 15)):\n",
" svc = SVC(C=C).fit(X_train, y_train)\n",
" vals.append(svc.score(X_val, y_val))\n",
" \n",
"plt.plot(Cs, vals, 'o-')\n",
"plt.xscale('log')\n",
"plt.ylim(0.9, 1.0)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.97\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fc8eed61ac0>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"svc = SVC(C=100)\n",
"\n",
"svc.fit(X_train, y_train)\n",
"\n",
"y_pred = svc.predict(X_val)\n",
"\n",
"print(accuracy_score(y_val, y_pred))\n",
"\n",
"plt.scatter(*X_val.T, c=is_sand(y_val), s=80, cmap='bwr')\n",
"plt.scatter(*X_val.T, c=is_sand(y_pred))"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y_pred, y_all = decision_regions(svc, X_val, y_val, extent, step=0.02)\n",
" \n",
"plt.figure(figsize=(10, 10))\n",
"plt.imshow(y_all <= 0.0, extent=extent, origin='lower', aspect='auto', alpha=0.5, interpolation='none')\n",
"plt.scatter(*X_train.T, c=is_sand(y_train), marker='+', cmap='bwr')\n",
"plt.scatter(*X_val.T, c=is_sand(y_val), s=80, cmap='bwr')\n",
"plt.scatter(*X_val.T, c=is_sand(y_pred))\n",
"plt.axis('equal')\n",
"plt.xlim(-2.5, 2.5); plt.ylim(-2.5, 2.5)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we have to make a decision about what we think is more reasonable.\n",
"\n",
"After that, there are plenty more gotchas:\n",
"\n",
"- We have assumed that the labels are correct and the data is accurate.\n",
"- A few hundred records is not much data; we should be careful about where we apply this model.\n",
"- We have only tried one model type, and have not tuned all of its hyperparameters.\n",
"- As we add more features, we have to remember the curse of dimensionality.\n",
"- As we try more things, we need to start using a `test` dataset."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"&copy; 2021 Agile Scientific CC-BY"
]
}
],
"metadata": {
"interpreter": {
"hash": "886c583f8a98883be098d5088d8db03d22bd092a36a57e3c48aaf8e50654a668"
},
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.7"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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