commit ded39868947a748ab6f137bfe3e891288b7e9b3f
parent b603f22d9e6f8fa5706af7935e1dcffd76fac08b
Author: Andrew <andrewlaack1@gmail.com>
Date: Thu, 11 Jul 2024 07:15:03 -0500
Did stuff
Diffstat:
3 files changed, 10137 insertions(+), 5 deletions(-)
diff --git a/3dGraphing/3dLinear.ipynb b/3dGraphing/3dLinear.ipynb
@@ -0,0 +1,6953 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import plotly.express as px\n",
+ "\n",
+ "X = np.linspace(0,20,1000)\n",
+ "y = X * 2 + np.random.randn(1000) * 10\n",
+ "z = X * 2 + np.random.randn(1000) * 10\n",
+ "\n",
+ "y_actual = X*2\n",
+ "z_actual = X*2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 53,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.plotly.v1+json": {
+ "config": {
+ "plotlyServerURL": "https://plot.ly"
+ },
+ "data": [
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+ "legendgroup": "",
+ "marker": {
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+ "symbol": "circle"
+ },
+ "mode": "markers",
+ "name": "",
+ "scene": "scene",
+ "showlegend": false,
+ "type": "scatter3d",
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diff --git a/linearRegression/CustomLinearRegression.ipynb b/linearRegression/CustomLinearRegression.ipynb
@@ -0,0 +1,3139 @@
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+ "showland": true,
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+ "align": "left"
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+ "hovermode": "closest",
+ "mapbox": {
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+ "gridcolor": "white",
+ "linecolor": "white",
+ "ticks": ""
+ }
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+ "scene": {
+ "xaxis": {
+ "backgroundcolor": "#E5ECF6",
+ "gridcolor": "white",
+ "gridwidth": 2,
+ "linecolor": "white",
+ "showbackground": true,
+ "ticks": "",
+ "zerolinecolor": "white"
+ },
+ "yaxis": {
+ "backgroundcolor": "#E5ECF6",
+ "gridcolor": "white",
+ "gridwidth": 2,
+ "linecolor": "white",
+ "showbackground": true,
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+ },
+ "zaxis": {
+ "backgroundcolor": "#E5ECF6",
+ "gridcolor": "white",
+ "gridwidth": 2,
+ "linecolor": "white",
+ "showbackground": true,
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+ "zerolinecolor": "white"
+ }
+ },
+ "shapedefaults": {
+ "line": {
+ "color": "#2a3f5f"
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+ "ternary": {
+ "aaxis": {
+ "gridcolor": "white",
+ "linecolor": "white",
+ "ticks": ""
+ },
+ "baxis": {
+ "gridcolor": "white",
+ "linecolor": "white",
+ "ticks": ""
+ },
+ "bgcolor": "#E5ECF6",
+ "caxis": {
+ "gridcolor": "white",
+ "linecolor": "white",
+ "ticks": ""
+ }
+ },
+ "title": {
+ "x": 0.05
+ },
+ "xaxis": {
+ "automargin": true,
+ "gridcolor": "white",
+ "linecolor": "white",
+ "ticks": "",
+ "title": {
+ "standoff": 15
+ },
+ "zerolinecolor": "white",
+ "zerolinewidth": 2
+ },
+ "yaxis": {
+ "automargin": true,
+ "gridcolor": "white",
+ "linecolor": "white",
+ "ticks": "",
+ "title": {
+ "standoff": 15
+ },
+ "zerolinecolor": "white",
+ "zerolinewidth": 2
+ }
+ }
+ },
+ "xaxis": {
+ "anchor": "y",
+ "domain": [
+ 0,
+ 1
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+ "title": {
+ "text": "x"
+ }
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+ "yaxis": {
+ "anchor": "x",
+ "domain": [
+ 0,
+ 1
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+ "title": {
+ "text": "y"
+ }
+ }
+ }
+ }
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import plotly.express as px\n",
+ "\n",
+ "px.scatter(x=X,y=y)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Custom Implementation #1:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 486,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2.5698125291111236"
+ ]
+ },
+ "execution_count": 486,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "coeff = 0\n",
+ "\n",
+ "x_sum = 0\n",
+ "y_sum = 0\n",
+ "\n",
+ "for i in range(0,len(X)):\n",
+ " x_sum += X[i]\n",
+ " y_sum += y[i]\n",
+ "\n",
+ "coeff = y_sum/x_sum\n",
+ "\n",
+ "coeff"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Custom Implementation #2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 487,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2.7039711370725312"
+ ]
+ },
+ "execution_count": 487,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "coeff = 0\n",
+ "\n",
+ "x_sum = 0\n",
+ "y_sum = 0\n",
+ "\n",
+ "for i in range(0,len(X)):\n",
+ " x_sum += X[i] * X[i]\n",
+ " y_sum += y[i] * y[i]\n",
+ " \n",
+ "coeff = np.sqrt(y_sum/x_sum)\n",
+ "\n",
+ "coeff"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Out Of Box"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 488,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([2.50991471])"
+ ]
+ },
+ "execution_count": 488,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.linear_model import LinearRegression\n",
+ "\n",
+ "lin_reg = LinearRegression()\n",
+ "lin_reg.fit(X.reshape(-1,1),y)\n",
+ "lin_reg.coef_"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Custom With Matrix"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 489,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "X = X.reshape(-1,1)\n",
+ "y = y.reshape(-1,1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 490,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(1000, 1)"
+ ]
+ },
+ "execution_count": 490,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "X.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 491,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(1000, 1)"
+ ]
+ },
+ "execution_count": 491,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "y.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 492,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# @ in python is matrix multiplication which works the same way\n",
+ "# as using np.dot()\n",
+ "\n",
+ "from sklearn.preprocessing import add_dummy_feature\n",
+ "\n",
+ "X_b = add_dummy_feature(X)\n",
+ "theta_best = np.linalg.inv(X_b.T @ X_b) @ X_b.T @ y"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 493,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[0.5989782 ],\n",
+ " [2.50991471]])"
+ ]
+ },
+ "execution_count": 493,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "theta_best"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "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": "3.11.2"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/linearRegression/LinearRegressionClosedForm.ipynb b/linearRegression/LinearRegressionClosedForm.ipynb
@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": 2,
"metadata": {},
"outputs": [
{
@@ -11,13 +11,13 @@
"(0.0, 11.715194521705058)"
]
},
- "execution_count": 11,
+ "execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -41,6 +41,46 @@
},
{
"cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(100, 1)"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "y.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(100, 1)"
+ ]
+ },
+ "execution_count": 21,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "X.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
@@ -138,9 +178,9 @@
],
"metadata": {
"kernelspec": {
- "display_name": "notebook",
+ "display_name": ".venv",
"language": "python",
- "name": "notebook"
+ "name": "python3"
},
"language_info": {
"codemirror_mode": {
