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ArtStudies/M1/Numerical Optimisation/ComputerSession1Subject.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Computer session 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basics in Python"
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:08.842230Z",
"start_time": "2025-02-04T16:17:08.235019Z"
}
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
],
"outputs": [],
"execution_count": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercice 2.16"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Consider the matrix $A$ defined as: \n",
"$$\\begin{pmatrix}4&6&-2&3\\\\2&-1&0&1\\\\-7&0&1&12\\end{pmatrix}.$$\n",
"\n",
"1. Define $A$ as a `numpy.array`."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:10.889518Z",
"start_time": "2025-02-04T16:17:10.886553Z"
}
},
"cell_type": "code",
"source": [
"A = np.array([[4, 6, -2, 3], [2, -1, 0, 1], [-7, 0, 1, 12]])\n",
"print(A)"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 4 6 -2 3]\n",
" [ 2 -1 0 1]\n",
" [-7 0 1 12]]\n"
]
}
],
"execution_count": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. Print the first line and the second column of $A$."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:11.727595Z",
"start_time": "2025-02-04T16:17:11.722541Z"
}
},
"cell_type": "code",
"source": [
"print(A[0,])\n",
"print(A[:, 1])"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 4 6 -2 3]\n",
"[ 6 -1 0]\n"
]
}
],
"execution_count": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"3. Create a new matrix `Ac` as a copy of $A$. Modify it by multiplying the first two\n",
" lines by 2 and (then) divide its last column by 3."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:12.103194Z",
"start_time": "2025-02-04T16:17:12.100704Z"
}
},
"cell_type": "code",
"source": [
"Ac = A.copy().astype(float)\n",
"Ac[0,] = 2 * Ac[0,]\n",
"Ac[1,] = 2 * Ac[1,]\n",
"Ac[:, 3] = Ac[:, 3] / 3\n",
"print(Ac)"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 8. 12. -4. 2. ]\n",
" [ 4. -2. 0. 0.66666667]\n",
" [-7. 0. 1. 4. ]]\n"
]
}
],
"execution_count": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"4. Define the new matrix $B$\n",
" $$\\begin{pmatrix}4&5&6\\\\5&10&15\\\\1&1&1\\end{pmatrix}.$$"
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:12.453836Z",
"start_time": "2025-02-04T16:17:12.451497Z"
}
},
"cell_type": "code",
"source": [
"B = np.array([[4, 5, 6], [5, 10, 15], [1, 1, 1]])\n",
"print(B)"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 4 5 6]\n",
" [ 5 10 15]\n",
" [ 1 1 1]]\n"
]
}
],
"execution_count": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"5. Go back to the initial matrix $A$. Create a matrix $C\\in M_{33}(\\mathbb{R})$\n",
" as a sub-matrix of $A$ defined by $1\\leq i,j\\leq 3, c_{ij}=a_{ij}$."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:12.796711Z",
"start_time": "2025-02-04T16:17:12.793780Z"
}
},
"cell_type": "code",
"source": [
"C = A.copy()[:3, :3]\n",
"print(C)"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 4 6 -2]\n",
" [ 2 -1 0]\n",
" [-7 0 1]]\n"
]
}
],
"execution_count": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"6. Matrix product:\n",
" - Create $D = BA$ (using `numpy.dot`).\n",
" - Create $E = B\\cdot C$ where $\\cdot$ denotes the Hadamard product of\n",
" matrices : $$\\forall 1\\leq i,j\\leq 3,\\quad e_{ij}=c_{ij}b_{ij}.$$"
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:13.119021Z",
"start_time": "2025-02-04T16:17:13.116866Z"
}
},
"cell_type": "code",
"source": [
"D = B.dot(A)\n",
"print(D)\n",
"\n",
"E = B * C\n",
"print(E)"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[-16 19 -2 89]\n",
" [-65 20 5 205]\n",
" [ -1 5 -1 16]]\n",
"[[ 16 30 -12]\n",
" [ 10 -10 0]\n",
" [ -7 0 1]]\n"
]
}
],
"execution_count": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"7. Compute the sum of all elements of $E$, and create the vector\n",
" $Y\\in\\mathbb{R}^3$ whose coordinates are given, for $1\\leq i \\leq 3$, by\n",
" $y_i=\\sum_{j=1}^{4}d_{ij}$."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:13.447592Z",
"start_time": "2025-02-04T16:17:13.444895Z"
}
},
"cell_type": "code",
"source": [
"print(np.sum(E))\n",
"Y = np.sum(D, axis=1)\n",
"print(Y)"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"28\n",
"[ 90 165 19]\n"
]
}
],
"execution_count": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting curves\n",
"\n",
"The basic command for plotting curves is `plot(x,y)`. In this expression, `x`\n",
"et `y` are (`numpy.array`) with the same size which can be either declared or generated.\n",
"You should use `numpy.linspace(a,b,N)` to represent as a list the interval $(a, b)$ with $N$\n",
"(uniform) discretisation points.\n",
"\n",
"The functions `title`, `axis`, `legend`, `x/ylabel` are useful for the presentation\n",
"of the graphs. The typical code will write as follows:\n",
"\n",
"```{python}\n",
"def f(x) : \n",
" return .... # The function\n",
"\n",
"xx = linspace (a ,b , N) #\n",
"plot( xx , f(xx) , 'color') # 'color' is optional but allows to choose the color of the curve\n",
"axis('equal') # the two axis are at the same scale\n",
"title(\"Graph\")\n",
"legend (\"f\")\n",
"xlabel(\"\\$ x\\$-axis\")\n",
"ylabel(\"\\$y\\$-axis\")\n",
"```\n",
"\n",
"### Exercice 2.17\n",
"\n",
"1. Plot the graph of $f:x\\mapsto x^2 \\cos(10x)$ on $(-\\pi;\\pi)$ in green."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:13.890022Z",
"start_time": "2025-02-04T16:17:13.761643Z"
}
},
"cell_type": "code",
"source": [
"def f(x):\n",
" return x ** 2 * np.cos(10 * x)\n",
"\n",
"\n",
"xx = np.linspace(-np.pi, np.pi, 1000)\n",
"\n",
"plt.plot(xx, f(xx), color='green')\n",
"plt.axis('equal')"
],
"outputs": [
{
"data": {
"text/plain": [
"(np.float64(-3.4557519189487724),\n",
" np.float64(3.4557519189487724),\n",
" np.float64(-8.908050823210235),\n",
" np.float64(10.76377845938934))"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. Plot, on the same graph, the functions $f_n : x\\mapsto x^2 \\cos(nx)$ pour $x\\in\n",
"(\\pi, \\pi)$ for $n = 0, 1, \\dots , 10$. Observe that if we create a graph using\n",
"`plt.plot(xx,f(xx),...)`, we can call back the function `plt.plot(xx,g(xx),....)`\n",
"to draw another graph on the same figure."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:14.227961Z",
"start_time": "2025-02-04T16:17:14.108810Z"
}
},
"cell_type": "code",
"source": [
"def g(x, n):\n",
" return x ** 2 * np.cos(x * n)\n",
"\n",
"\n",
"xx = np.linspace(-np.pi, np.pi, 1000)\n",
"nn = np.arange(0, 11, 1)\n",
"for N in nn:\n",
" plt.plot(xx, g(xx, N), label=f\"n = {N}\")\n",
"plt.plot(xx, f(xx), color='black')\n",
"plt.legend()\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, the `numpy.contour` function is extremely useful to plot level-sets of functions\n",
"of several variables. To do so, we consider a function $f$ of two variables and we\n",
"generate an array containing all the values of $f$ as follows: once $f$ and the two\n",
"domains of definition are give, we can write:\n",
"\n",
"```{python}\n",
"z =[[f(x,y) for x in ...] for y in ..]\n",
"```\n",
"\n",
"The function fonction `plt.contour(x domain,y domain,Z,N)` plots `N` level sets.\n",
"The `plt.colorbar()` command allows for a tuning of the colour scheme.\n",
"\n",
"\n",
"### Exercise 2.18\n",
"\n",
"Plot 20 level sets of\n",
"$$f : (x, y) \\mapsto e^{x^2} \\sin(\\pi x y)$$\n",
"for $(x, y) \\in (4, 4)^2$. Toy around with the options `cmap='inferno'`,\n",
"`cmap='plasma'`...\n"
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:14.889341Z",
"start_time": "2025-02-04T16:17:14.727069Z"
}
},
"cell_type": "code",
"source": [
"def f(x, y):\n",
" return np.exp(-x ** 2) * np.sin(np.pi * x - y)\n",
"\n",
"\n",
"bound = np.linspace(-4, 4, 100)\n",
"Z = [[f(x, y) for x in bound] for y in bound]\n",
"\n",
"plt.contour(bound, bound, Z, 20, cmap='inferno')\n",
"plt.colorbar()\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basics of gradient descent"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 2.19"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. We first consider the minimisation problem\n",
" $$\\inf_{x\\in\\mathbb{R}^d}\\frac12\\left\\langle Ax, x\\right\\rangle \\left\\langle b, x\\right\\rangle.$$\n",
" \n",
" We work in dimension 2. Write a python function $f$ that takes as arguments $A$, $b$\n",
" and $x$ and returns $\\frac12\\left\\langle Ax, x\\right\\rangle \\left\\langle b, x\\right\\rangle.$"
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T16:17:16.213827Z",
"start_time": "2025-02-04T16:17:16.209406Z"
}
},
"cell_type": "code",
"source": [
"def f(A, b, x):\n",
" return 1 / 2 * np.dot(A, x).dot(x) - b.dot(x)"
],
"outputs": [],
"execution_count": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. Choose any symmetric, positive definite matrix $A$ and generate a random vector $b$. Solve the equation\n",
" $$Ax = b$$\n",
" using the gradient descent method (you are of course allowed to use, here,\n",
" the explicit expression for the gradient). Can you illustrate the order of\n",
" convergence of your method?"
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T18:05:08.405683Z",
"start_time": "2025-02-04T18:05:08.251872Z"
}
},
"cell_type": "code",
"source": [
"d = 2\n",
"M = np.random.rand(d, d)\n",
"A = M.dot(M.T) + np.eye(d)\n",
"b = np.random.rand(d)\n",
"\n",
"x0 = np.random.randint(-5, 5, d).astype(float)\n",
"tau = 0.01\n",
"n_iter = 1000\n",
"\n",
"\n",
"def GD(x0, tau, n_iter):\n",
" xk = []\n",
" k_list = np.arange(n_iter)\n",
" for _ in k_list:\n",
" x0 -= tau * (A.dot(x0) - b)\n",
" xk.append(x0.copy())\n",
" return np.array(xk), k_list, xk[-1]\n",
"\n",
"\n",
"xk, k_list, x_star = GD(x0, tau, n_iter)\n",
"plt.plot([f(A, b, x) for x in xk], 'red')\n",
"plt.scatter(n_iter, f(A, b, np.linalg.solve(A, b)), c='blue')\n",
"plt.xlabel('Iteration')\n",
"plt.ylabel('Function value')\n",
"plt.title('Convergence of Gradient Descent')\n",
"plt.show()\n",
"\n",
"plt.plot(np.log(np.linalg.norm(xk - x_star, axis=1)), 'blue')\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/tp/_ld5_pzs6nx6mv1pbjhq1l740000gn/T/ipykernel_15232/1819267217.py:28: RuntimeWarning: divide by zero encountered in log\n",
" plt.plot(np.log(np.linalg.norm(xk - x_star, axis=1)), 'blue')\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 238
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"3. Plot the level sets of the function $f$, and represent the successive iterates\n",
" on the graph."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T18:05:05.407733Z",
"start_time": "2025-02-04T18:05:05.166783Z"
}
},
"cell_type": "code",
"source": [
"# Define the function to plot level sets and gradient descent path\n",
"lim_inf, lim_sup = -5, 5\n",
"X = Y = np.linspace(lim_inf, lim_sup, 100)\n",
"xx, yy = np.meshgrid(X, Y)\n",
"Z = np.array(\n",
" [[f(A, b, np.array([x, y])) for x in X] for y in Y])\n",
"\n",
"plt.contour(xx, yy, Z, levels=10, cmap='inferno')\n",
"plt.colorbar()\n",
"plt.plot(xk[:, 0], xk[:, 1], 'red')\n",
"plt.scatter(x_star[0], x_star[1], c='blue')\n",
"plt.xlabel('x1')\n",
"plt.ylabel('x2')\n",
"plt.title('Level Sets and Gradient Descent Path')\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 237
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercice 2.20\n",
"\n",
"We now consider a function $f$ of $d$ variables.\n",
"\n",
"1. We aim at approximation, numerically, the gradient of a function $f$. In order to do\n",
" so, we resort to a centred difference methods. In other words, we write:\n",
"\n",
" $$\\dfrac{\\partial f}{\\partial e_i}\\simeq \\frac{f(x+\\delta e_i)-f(x-\\delta\n",
" e_i)}{2\\delta}$$\n",
" for $\\delta>0$ small enought where $\\{e_i\\}_{i=1,\\dots,d}$ is the canonical\n",
" basis of $\\mathbb{R}^d$. First define the vectors $e_i$ in Python. Second,\n",
" write a function `gradient(F,x,d,delta=1e-05)` that returns the discrete\n",
" gradient of the Python function `F`. You can test your code on the following\n",
" toy function:"
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T17:55:41.142456Z",
"start_time": "2025-02-04T17:55:41.139734Z"
}
},
"source": [
"import numpy as np\n",
"\n",
"\n",
"def F(x):\n",
" return x[0] ** 2 + x[1] ** 2\n",
"\n",
"\n",
"def e(i, d):\n",
" return np.array([1 if j == i else 0 for j in range(d)])\n",
"\n",
"\n",
"def gradient(F, x, d, delta=1e-05):\n",
" return np.array([(F(x + delta * e(i, d)) - F(x - delta * e(i, d))) / (2 * delta) for i in range(d)])\n",
"\n",
"\n",
"print(gradient(F, np.array([1, 1]), 2))"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2. 2.]\n"
]
}
],
"execution_count": 223
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. Write a code that takes, as arguments, $x_0$ and a step size $\\tau$ and returns the\n",
" sequence generated by the gradient descent initialised at $x_0$ with fixed step\n",
" size $\\tau$. Test your code on `F`."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T17:55:42.711021Z",
"start_time": "2025-02-04T17:55:42.705568Z"
}
},
"cell_type": "code",
"source": [
"def gradient_algo(x0, tau, n_iter, F, d):\n",
" x = x0\n",
" history = [x]\n",
" for _ in range(n_iter):\n",
" x = x - tau * gradient(F, x, d)\n",
" history.append(x)\n",
" return history\n",
"\n",
"\n",
"print(gradient_algo(np.array([1, 1]), 0.1, 100, F, 2))"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[array([1, 1]), array([0.8, 0.8]), array([0.64, 0.64]), array([0.512, 0.512]), array([0.4096, 0.4096]), array([0.32768, 0.32768]), array([0.262144, 0.262144]), array([0.2097152, 0.2097152]), array([0.16777216, 0.16777216]), array([0.13421773, 0.13421773]), array([0.10737418, 0.10737418]), array([0.08589935, 0.08589935]), array([0.06871948, 0.06871948]), array([0.05497558, 0.05497558]), array([0.04398047, 0.04398047]), array([0.03518437, 0.03518437]), array([0.0281475, 0.0281475]), array([0.022518, 0.022518]), array([0.0180144, 0.0180144]), array([0.01441152, 0.01441152]), array([0.01152922, 0.01152922]), array([0.00922337, 0.00922337]), array([0.0073787, 0.0073787]), array([0.00590296, 0.00590296]), array([0.00472237, 0.00472237]), array([0.00377789, 0.00377789]), array([0.00302231, 0.00302231]), array([0.00241785, 0.00241785]), array([0.00193428, 0.00193428]), array([0.00154743, 0.00154743]), array([0.00123794, 0.00123794]), array([0.00099035, 0.00099035]), array([0.00079228, 0.00079228]), array([0.00063383, 0.00063383]), array([0.00050706, 0.00050706]), array([0.00040565, 0.00040565]), array([0.00032452, 0.00032452]), array([0.00025961, 0.00025961]), array([0.00020769, 0.00020769]), array([0.00016615, 0.00016615]), array([0.00013292, 0.00013292]), array([0.00010634, 0.00010634]), array([8.50705917e-05, 8.50705917e-05]), array([6.80564734e-05, 6.80564734e-05]), array([5.44451787e-05, 5.44451787e-05]), array([4.3556143e-05, 4.3556143e-05]), array([3.48449144e-05, 3.48449144e-05]), array([2.78759315e-05, 2.78759315e-05]), array([2.23007452e-05, 2.23007452e-05]), array([1.78405962e-05, 1.78405962e-05]), array([1.42724769e-05, 1.42724769e-05]), array([1.14179815e-05, 1.14179815e-05]), array([9.13438523e-06, 9.13438523e-06]), array([7.30750819e-06, 7.30750819e-06]), array([5.84600655e-06, 5.84600655e-06]), array([4.67680524e-06, 4.67680524e-06]), array([3.74144419e-06, 3.74144419e-06]), array([2.99315535e-06, 2.99315535e-06]), array([2.39452428e-06, 2.39452428e-06]), array([1.91561943e-06, 1.91561943e-06]), array([1.53249554e-06, 1.53249554e-06]), array([1.22599643e-06, 1.22599643e-06]), array([9.80797146e-07, 9.80797146e-07]), array([7.84637717e-07, 7.84637717e-07]), array([6.27710174e-07, 6.27710174e-07]), array([5.02168139e-07, 5.02168139e-07]), array([4.01734511e-07, 4.01734511e-07]), array([3.21387609e-07, 3.21387609e-07]), array([2.57110087e-07, 2.57110087e-07]), array([2.0568807e-07, 2.0568807e-07]), array([1.64550456e-07, 1.64550456e-07]), array([1.31640365e-07, 1.31640365e-07]), array([1.05312292e-07, 1.05312292e-07]), array([8.42498333e-08, 8.42498333e-08]), array([6.73998667e-08, 6.73998667e-08]), array([5.39198933e-08, 5.39198933e-08]), array([4.31359147e-08, 4.31359147e-08]), array([3.45087317e-08, 3.45087317e-08]), array([2.76069854e-08, 2.76069854e-08]), array([2.20855883e-08, 2.20855883e-08]), array([1.76684706e-08, 1.76684706e-08]), array([1.41347765e-08, 1.41347765e-08]), array([1.13078212e-08, 1.13078212e-08]), array([9.04625697e-09, 9.04625697e-09]), array([7.23700558e-09, 7.23700558e-09]), array([5.78960446e-09, 5.78960446e-09]), array([4.63168357e-09, 4.63168357e-09]), array([3.70534686e-09, 3.70534686e-09]), array([2.96427748e-09, 2.96427748e-09]), array([2.37142199e-09, 2.37142199e-09]), array([1.89713759e-09, 1.89713759e-09]), array([1.51771007e-09, 1.51771007e-09]), array([1.21416806e-09, 1.21416806e-09]), array([9.71334446e-10, 9.71334446e-10]), array([7.77067557e-10, 7.77067557e-10]), array([6.21654046e-10, 6.21654046e-10]), array([4.97323236e-10, 4.97323236e-10]), array([3.97858589e-10, 3.97858589e-10]), array([3.18286871e-10, 3.18286871e-10]), array([2.54629497e-10, 2.54629497e-10]), array([2.03703598e-10, 2.03703598e-10])]\n"
]
}
],
"execution_count": 224
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now apply this to the least square problem to test our algorithm: fix\n",
"$\\alpha_0 =3$, $\\alpha_1 = 2$, an integer $N$ and generate a random vector of\n",
"size $N$ by calling `Xi=numpy.random.rand(N)*2-1` (this generates numbers between $-1$\n",
"and $1$). Generate a “noise” vector `Wi=numpy.random.rand(N)*2-1`. Finally, set\n",
"`Yi=alpha0+alpha1*Xi+Wi` (the set of noisy observations we have access to). We\n",
"want to see whether we can recover the values of $\\alpha_0$ and $\\alpha_1$ from\n",
"the knowledge of `(Xi, Yi)`. To do so, we define, for an array $A = (a_0 ,\n",
"a_1 )$,\n",
"\n",
"$$E(A)=\\frac{1}{N}\\sum_{k=1}^{N}|y_i-(a_0+a_1 x_i)|^2$$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"3. Write the function $A \\mapsto E(A)$ in python, $A$ being coded as an `numpy`\n",
" array. The vectors `Xi` and `Yi` are `numpy` array defined globally."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T17:55:48.068018Z",
"start_time": "2025-02-04T17:55:48.065662Z"
}
},
"cell_type": "code",
"source": [
"alpha0 = 3\n",
"alpha1 = 2\n",
"N = 100\n",
"Xi = np.random.rand(N) * 2 - 1\n",
"Wi = np.random.rand(N) * 2 - 1\n",
"Yi = alpha0 + alpha1 * Xi + Wi\n",
"\n",
"\n",
"def E(A):\n",
" return np.mean(np.abs(Yi - (A[0] + A[1] * Xi)) ** 2)"
],
"outputs": [],
"execution_count": 225
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"4. Plot 20 level lines of $E$. Is what you observe coherent with we might expect?"
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T17:55:53.451076Z",
"start_time": "2025-02-04T17:55:53.293559Z"
}
},
"cell_type": "code",
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"bound = np.linspace(-10, 10, 100)\n",
"Z = [[E(np.array([x, y])) for x in bound] for y in bound]\n",
"\n",
"plt.contour(bound, bound, Z, 20, cmap='inferno')\n",
"plt.colorbar()\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 226
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"5. Minimise $E$ with a constant step-size gradient descent using the discretised\n",
" gradient you computed earlier. Run your code with several values of $\\tau$\n",
" and find the best value for $\\tau$."
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T17:57:18.424095Z",
"start_time": "2025-02-04T17:57:18.364818Z"
}
},
"cell_type": "code",
"source": [
"tau_list = np.linspace(0.01, 1, 20)\n",
"\n",
"\n",
"def gradient_algo(x0, tau, n_iter, F, d):\n",
" x = x0\n",
" history = [x]\n",
" for _ in range(n_iter):\n",
" x = x - tau * gradient(F, x, d)\n",
" history.append(x)\n",
" return history\n",
"\n",
"\n",
"list_tau_y = []\n",
"for tau in tau_list:\n",
" history = gradient_algo(np.array([2, 3]), tau, 100, E, 2)\n",
" x, y = history[-1]\n",
" list_tau_y.append((tau, y))\n",
" print(f\"tau = {tau}, x = {x}, y = {y}\")\n",
"\n",
"best_tau = max(list_tau_y, key=lambda x: x[1])\n",
"print(best_tau)"
],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tau = 0.01, x = 2.9267989063524977, y = 2.479397426488201\n",
"tau = 0.06210526315789474, x = 3.0423146382848048, y = 1.916948653422947\n",
"tau = 0.11421052631578947, x = 3.0410604575195848, y = 1.8931782083689095\n",
"tau = 0.16631578947368422, x = 3.041011907165113, y = 1.8922593962938912\n",
"tau = 0.21842105263157896, x = 3.0410102257986824, y = 1.8922275765785324\n",
"tau = 0.2705263157894737, x = 3.041010174027455, y = 1.8922265968174143\n",
"tau = 0.32263157894736844, x = 3.0410101726257173, y = 1.8922265702226346\n",
"tau = 0.37473684210526315, x = 3.0410101725880336, y = 1.8922265695921598\n",
"tau = 0.4268421052631579, x = 3.0410101725894942, y = 1.8922265695855385\n",
"tau = 0.4789473684210527, x = 3.041010172589047, y = 1.8922265695800402\n",
"tau = 0.5310526315789474, x = 3.0410101725871, y = 1.8922265695806482\n",
"tau = 0.5831578947368421, x = 3.041010172590711, y = 1.8922265695834652\n",
"tau = 0.6352631578947369, x = 3.0410101725873564, y = 1.8922265695777054\n",
"tau = 0.6873684210526316, x = 3.041010172587915, y = 1.8922265695785696\n",
"tau = 0.7394736842105263, x = 3.0410101725881757, y = 1.8922265695866305\n",
"tau = 0.791578947368421, x = 3.0410101725829963, y = 1.8922265695799831\n",
"tau = 0.8436842105263158, x = 3.041010172588228, y = 1.892226569583048\n",
"tau = 0.8957894736842106, x = 3.041010172468627, y = 1.8922265695876346\n",
"tau = 0.9478947368421053, x = 3.040982577460321, y = 1.8922280277145846\n",
"tau = 1.0, x = 1.417896283504526, y = 1.9779924939981015\n",
"(np.float64(0.01), np.float64(2.479397426488201))\n"
]
}
],
"execution_count": 232
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"6. Check that we find a good approximation for $(\\alpha_0,\\alpha_1)$. Show datas\n",
" `(Xi,Yi)` and the line $y=a_0+a_1x$ that you obtain, for $x\\in[-1,1]$."
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2025-02-04T17:57:15.047877Z",
"start_time": "2025-02-04T17:57:14.971370Z"
}
},
"source": [
"best_A = gradient_algo(np.array([2, 3]), best_tau[0], 100, E, 2)[-1]\n",
"\n",
"plt.scatter(Xi, Yi, label='Data')\n",
"plt.plot(Xi, best_A[0] + best_A[1] * Xi, color='red', label='Fitted line')\n",
"plt.xlabel('Xi')\n",
"plt.ylabel('Yi')\n",
"plt.legend()\n",
"plt.show()"
],
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"execution_count": 231
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"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
}