diff --git a/M1/Numerical Optimisation/ComputerSession1Subject.ipynb b/M1/Numerical Optimisation/ComputerSession1Subject.ipynb index 5d198c7..3093a21 100644 --- a/M1/Numerical Optimisation/ComputerSession1Subject.ipynb +++ b/M1/Numerical Optimisation/ComputerSession1Subject.ipynb @@ -18,8 +18,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:23:56.948722Z", - "start_time": "2025-01-21T17:23:56.659582Z" + "end_time": "2025-02-04T16:17:08.842230Z", + "start_time": "2025-02-04T16:17:08.235019Z" } }, "source": [ @@ -27,7 +27,7 @@ "import matplotlib.pyplot as plt" ], "outputs": [], - "execution_count": 1 + "execution_count": 3 }, { "cell_type": "markdown", @@ -49,8 +49,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:23:57.025879Z", - "start_time": "2025-01-21T17:23:57.023601Z" + "end_time": "2025-02-04T16:17:10.889518Z", + "start_time": "2025-02-04T16:17:10.886553Z" } }, "cell_type": "code", @@ -69,7 +69,7 @@ ] } ], - "execution_count": 2 + "execution_count": 4 }, { "cell_type": "markdown", @@ -81,8 +81,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:23:58.157325Z", - "start_time": "2025-01-21T17:23:58.154569Z" + "end_time": "2025-02-04T16:17:11.727595Z", + "start_time": "2025-02-04T16:17:11.722541Z" } }, "cell_type": "code", @@ -100,7 +100,7 @@ ] } ], - "execution_count": 3 + "execution_count": 5 }, { "cell_type": "markdown", @@ -113,8 +113,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:23:58.756036Z", - "start_time": "2025-01-21T17:23:58.753239Z" + "end_time": "2025-02-04T16:17:12.103194Z", + "start_time": "2025-02-04T16:17:12.100704Z" } }, "cell_type": "code", @@ -136,7 +136,7 @@ ] } ], - "execution_count": 4 + "execution_count": 6 }, { "cell_type": "markdown", @@ -149,8 +149,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:23:59.146548Z", - "start_time": "2025-01-21T17:23:59.144380Z" + "end_time": "2025-02-04T16:17:12.453836Z", + "start_time": "2025-02-04T16:17:12.451497Z" } }, "cell_type": "code", @@ -169,7 +169,7 @@ ] } ], - "execution_count": 5 + "execution_count": 7 }, { "cell_type": "markdown", @@ -182,8 +182,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:23:59.558011Z", - "start_time": "2025-01-21T17:23:59.555640Z" + "end_time": "2025-02-04T16:17:12.796711Z", + "start_time": "2025-02-04T16:17:12.793780Z" } }, "cell_type": "code", @@ -202,7 +202,7 @@ ] } ], - "execution_count": 6 + "execution_count": 8 }, { "cell_type": "markdown", @@ -217,8 +217,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:23:59.976683Z", - "start_time": "2025-01-21T17:23:59.973402Z" + "end_time": "2025-02-04T16:17:13.119021Z", + "start_time": "2025-02-04T16:17:13.116866Z" } }, "cell_type": "code", @@ -243,7 +243,7 @@ ] } ], - "execution_count": 7 + "execution_count": 9 }, { "cell_type": "markdown", @@ -257,8 +257,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:24:00.478741Z", - "start_time": "2025-01-21T17:24:00.476807Z" + "end_time": "2025-02-04T16:17:13.447592Z", + "start_time": "2025-02-04T16:17:13.444895Z" } }, "cell_type": "code", @@ -277,7 +277,7 @@ ] } ], - "execution_count": 8 + "execution_count": 10 }, { "cell_type": "markdown", @@ -314,8 +314,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:24:01.394438Z", - "start_time": "2025-01-21T17:24:01.307832Z" + "end_time": "2025-02-04T16:17:13.890022Z", + "start_time": "2025-02-04T16:17:13.761643Z" } }, "cell_type": "code", @@ -339,7 +339,7 @@ " np.float64(10.76377845938934))" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, @@ -354,7 +354,7 @@ "output_type": "display_data" } ], - "execution_count": 9 + "execution_count": 11 }, { "cell_type": "markdown", @@ -369,8 +369,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:24:01.945638Z", - "start_time": "2025-01-21T17:24:01.835521Z" + "end_time": "2025-02-04T16:17:14.227961Z", + "start_time": "2025-02-04T16:17:14.108810Z" } }, "cell_type": "code", @@ -399,7 +399,7 @@ "output_type": "display_data" } ], - "execution_count": 10 + "execution_count": 12 }, { "cell_type": "markdown", @@ -429,8 +429,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:24:02.476753Z", - "start_time": "2025-01-21T17:24:02.360689Z" + "end_time": "2025-02-04T16:17:14.889341Z", + "start_time": "2025-02-04T16:17:14.727069Z" } }, "cell_type": "code", @@ -458,7 +458,7 @@ "output_type": "display_data" } ], - "execution_count": 11 + "execution_count": 13 }, { "cell_type": "markdown", @@ -488,8 +488,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:24:05.149544Z", - "start_time": "2025-01-21T17:24:05.146234Z" + "end_time": "2025-02-04T16:17:16.213827Z", + "start_time": "2025-02-04T16:17:16.209406Z" } }, "cell_type": "code", @@ -498,7 +498,7 @@ " return 1 / 2 * np.dot(A, x).dot(x) - b.dot(x)" ], "outputs": [], - "execution_count": 12 + "execution_count": 14 }, { "cell_type": "markdown", @@ -514,54 +514,59 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:31:47.892213Z", - "start_time": "2025-01-21T17:31:47.527085Z" + "end_time": "2025-02-04T18:05:08.405683Z", + "start_time": "2025-02-04T18:05:08.251872Z" } }, "cell_type": "code", "source": [ - "d = 3\n", + "d = 2\n", "M = np.random.rand(d, d)\n", - "A = M.dot(M.T)\n", + "A = M.dot(M.T) + np.eye(d)\n", "b = np.random.rand(d)\n", "\n", - "print(A)\n", - "\n", - "x0 = 0\n", - "tau = 0.1\n", + "x0 = np.random.randint(-5, 5, d).astype(float)\n", + "tau = 0.01\n", "n_iter = 1000\n", "\n", - "history = []\n", - "for _ in range(n_iter):\n", - " x0 = x0 - tau * (A.dot(x0) - b)\n", - " history.append((x0, f(A, b, x0)))\n", "\n", - "plt.plot([x[1] for x in history])\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": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[0.47067642 0.55614837 0.21091119]\n", - " [0.55614837 0.92082152 0.19655307]\n", - " [0.21091119 0.19655307 0.10821396]]\n" - ] + "data": { + "text/plain": [ + "
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" + }, + "metadata": {}, + "output_type": "display_data" }, { - "ename": "ValueError", - "evalue": "x and y can be no greater than 2D, but have shapes (1000,) and (1000, 3, 3)", - "output_type": "error", - "traceback": [ - "\u001B[0;31m---------------------------------------------------------------------------\u001B[0m", - "\u001B[0;31mValueError\u001B[0m Traceback (most recent call last)", - "Cell \u001B[0;32mIn[31], line 17\u001B[0m\n\u001B[1;32m 14\u001B[0m x0 \u001B[38;5;241m=\u001B[39m x0 \u001B[38;5;241m-\u001B[39m tau \u001B[38;5;241m*\u001B[39m (A\u001B[38;5;241m.\u001B[39mdot(x0) \u001B[38;5;241m-\u001B[39m b)\n\u001B[1;32m 15\u001B[0m history\u001B[38;5;241m.\u001B[39mappend((x0, f(A, b, x0)))\n\u001B[0;32m---> 17\u001B[0m \u001B[43mplt\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43mplot\u001B[49m\u001B[43m(\u001B[49m\u001B[43m[\u001B[49m\u001B[43mx\u001B[49m\u001B[43m[\u001B[49m\u001B[38;5;241;43m1\u001B[39;49m\u001B[43m]\u001B[49m\u001B[43m \u001B[49m\u001B[38;5;28;43;01mfor\u001B[39;49;00m\u001B[43m \u001B[49m\u001B[43mx\u001B[49m\u001B[43m \u001B[49m\u001B[38;5;129;43;01min\u001B[39;49;00m\u001B[43m \u001B[49m\u001B[43mhistory\u001B[49m\u001B[43m]\u001B[49m\u001B[43m)\u001B[49m\n\u001B[1;32m 18\u001B[0m plt\u001B[38;5;241m.\u001B[39mshow()\n", - "File \u001B[0;32m/Library/Frameworks/Python.framework/Versions/3.12/lib/python3.12/site-packages/matplotlib/pyplot.py:3794\u001B[0m, in \u001B[0;36mplot\u001B[0;34m(scalex, scaley, data, *args, **kwargs)\u001B[0m\n\u001B[1;32m 3786\u001B[0m \u001B[38;5;129m@_copy_docstring_and_deprecators\u001B[39m(Axes\u001B[38;5;241m.\u001B[39mplot)\n\u001B[1;32m 3787\u001B[0m \u001B[38;5;28;01mdef\u001B[39;00m \u001B[38;5;21mplot\u001B[39m(\n\u001B[1;32m 3788\u001B[0m \u001B[38;5;241m*\u001B[39margs: \u001B[38;5;28mfloat\u001B[39m \u001B[38;5;241m|\u001B[39m ArrayLike \u001B[38;5;241m|\u001B[39m \u001B[38;5;28mstr\u001B[39m,\n\u001B[0;32m (...)\u001B[0m\n\u001B[1;32m 3792\u001B[0m 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from\u001B[39;00m \u001B[38;5;28;43mself\u001B[39;49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43m_plot_args\u001B[49m\u001B[43m(\u001B[49m\n\u001B[1;32m 297\u001B[0m \u001B[43m \u001B[49m\u001B[43maxes\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mthis\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mkwargs\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mambiguous_fmt_datakey\u001B[49m\u001B[38;5;241;43m=\u001B[39;49m\u001B[43mambiguous_fmt_datakey\u001B[49m\u001B[43m)\u001B[49m\n", - "File \u001B[0;32m/Library/Frameworks/Python.framework/Versions/3.12/lib/python3.12/site-packages/matplotlib/axes/_base.py:489\u001B[0m, in \u001B[0;36m_process_plot_var_args._plot_args\u001B[0;34m(self, axes, tup, kwargs, return_kwargs, ambiguous_fmt_datakey)\u001B[0m\n\u001B[1;32m 486\u001B[0m \u001B[38;5;28;01mraise\u001B[39;00m \u001B[38;5;167;01mValueError\u001B[39;00m(\u001B[38;5;124mf\u001B[39m\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mx and y must have same first dimension, but \u001B[39m\u001B[38;5;124m\"\u001B[39m\n\u001B[1;32m 487\u001B[0m \u001B[38;5;124mf\u001B[39m\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mhave shapes \u001B[39m\u001B[38;5;132;01m{\u001B[39;00mx\u001B[38;5;241m.\u001B[39mshape\u001B[38;5;132;01m}\u001B[39;00m\u001B[38;5;124m and \u001B[39m\u001B[38;5;132;01m{\u001B[39;00my\u001B[38;5;241m.\u001B[39mshape\u001B[38;5;132;01m}\u001B[39;00m\u001B[38;5;124m\"\u001B[39m)\n\u001B[1;32m 488\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m x\u001B[38;5;241m.\u001B[39mndim \u001B[38;5;241m>\u001B[39m \u001B[38;5;241m2\u001B[39m \u001B[38;5;129;01mor\u001B[39;00m y\u001B[38;5;241m.\u001B[39mndim \u001B[38;5;241m>\u001B[39m \u001B[38;5;241m2\u001B[39m:\n\u001B[0;32m--> 489\u001B[0m \u001B[38;5;28;01mraise\u001B[39;00m \u001B[38;5;167;01mValueError\u001B[39;00m(\u001B[38;5;124mf\u001B[39m\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mx and y can be no greater than 2D, but have \u001B[39m\u001B[38;5;124m\"\u001B[39m\n\u001B[1;32m 490\u001B[0m \u001B[38;5;124mf\u001B[39m\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mshapes \u001B[39m\u001B[38;5;132;01m{\u001B[39;00mx\u001B[38;5;241m.\u001B[39mshape\u001B[38;5;132;01m}\u001B[39;00m\u001B[38;5;124m and \u001B[39m\u001B[38;5;132;01m{\u001B[39;00my\u001B[38;5;241m.\u001B[39mshape\u001B[38;5;132;01m}\u001B[39;00m\u001B[38;5;124m\"\u001B[39m)\n\u001B[1;32m 491\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m x\u001B[38;5;241m.\u001B[39mndim \u001B[38;5;241m==\u001B[39m \u001B[38;5;241m1\u001B[39m:\n\u001B[1;32m 492\u001B[0m x \u001B[38;5;241m=\u001B[39m x[:, np\u001B[38;5;241m.\u001B[39mnewaxis]\n", - "\u001B[0;31mValueError\u001B[0m: x and y can be no greater than 2D, but have shapes (1000,) and (1000, 3, 3)" + "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" ] }, { @@ -569,13 +574,13 @@ "text/plain": [ "
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" 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" }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 31 + "execution_count": 238 }, { "cell_type": "markdown", @@ -585,6 +590,45 @@ " 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": [ + "
" + ], + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 237 + }, { "cell_type": "markdown", "metadata": {}, @@ -609,12 +653,14 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:26:06.697698Z", - "start_time": "2025-01-21T17:26:06.692871Z" + "end_time": "2025-02-04T17:55:41.142456Z", + "start_time": "2025-02-04T17:55:41.139734Z" } }, "source": [ - "# Test function\n", + "import numpy as np\n", + "\n", + "\n", "def F(x):\n", " return x[0] ** 2 + x[1] ** 2\n", "\n", @@ -624,7 +670,7 @@ "\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))) for i in range(d)])\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))" @@ -634,11 +680,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "[4.e-05 4.e-05]\n" + "[2. 2.]\n" ] } ], - "execution_count": 16 + "execution_count": 223 }, { "cell_type": "markdown", @@ -652,8 +698,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:29:34.505554Z", - "start_time": "2025-01-21T17:29:34.500233Z" + "end_time": "2025-02-04T17:55:42.711021Z", + "start_time": "2025-02-04T17:55:42.705568Z" } }, "cell_type": "code", @@ -674,11 +720,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "[array([1, 1]), array([0.999996, 0.999996]), array([0.999992, 0.999992]), array([0.999988, 0.999988]), array([0.999984, 0.999984]), array([0.99998, 0.99998]), array([0.999976, 0.999976]), array([0.999972, 0.999972]), array([0.999968, 0.999968]), array([0.999964, 0.999964]), array([0.99996, 0.99996]), array([0.999956, 0.999956]), array([0.999952, 0.999952]), array([0.999948, 0.999948]), array([0.999944, 0.999944]), array([0.99994, 0.99994]), array([0.999936, 0.999936]), array([0.999932, 0.999932]), array([0.999928, 0.999928]), array([0.999924, 0.999924]), array([0.99992, 0.99992]), array([0.999916, 0.999916]), array([0.999912, 0.999912]), array([0.999908, 0.999908]), array([0.999904, 0.999904]), array([0.9999, 0.9999]), array([0.99989601, 0.99989601]), array([0.99989201, 0.99989201]), array([0.99988801, 0.99988801]), array([0.99988401, 0.99988401]), array([0.99988001, 0.99988001]), array([0.99987601, 0.99987601]), array([0.99987201, 0.99987201]), array([0.99986801, 0.99986801]), array([0.99986401, 0.99986401]), array([0.99986001, 0.99986001]), array([0.99985601, 0.99985601]), array([0.99985201, 0.99985201]), array([0.99984801, 0.99984801]), array([0.99984401, 0.99984401]), array([0.99984001, 0.99984001]), array([0.99983601, 0.99983601]), array([0.99983201, 0.99983201]), array([0.99982801, 0.99982801]), array([0.99982402, 0.99982402]), array([0.99982002, 0.99982002]), array([0.99981602, 0.99981602]), array([0.99981202, 0.99981202]), array([0.99980802, 0.99980802]), array([0.99980402, 0.99980402]), array([0.99980002, 0.99980002]), array([0.99979602, 0.99979602]), 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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": 30 + "execution_count": 224 }, { "cell_type": "markdown", @@ -707,8 +753,8 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:26:46.380032Z", - "start_time": "2025-01-21T17:26:46.377947Z" + "end_time": "2025-02-04T17:55:48.068018Z", + "start_time": "2025-02-04T17:55:48.065662Z" } }, "cell_type": "code", @@ -725,7 +771,7 @@ " return np.mean(np.abs(Yi - (A[0] + A[1] * Xi)) ** 2)" ], "outputs": [], - "execution_count": 23 + "execution_count": 225 }, { "cell_type": "markdown", @@ -737,41 +783,34 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:26:47.917324Z", - "start_time": "2025-01-21T17:26:47.754369Z" + "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()" + "plt.colorbar()\n", + "plt.show()" ], "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "text/plain": [ "
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" + "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 24 + "execution_count": 226 }, { "cell_type": "markdown", @@ -785,52 +824,64 @@ { "metadata": { "ExecuteTime": { - "end_time": "2025-01-21T17:36:27.100527Z", - "start_time": "2025-01-21T17:36:27.035556Z" + "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", - " x, y = np.min(gradient_algo(np.array([2, 3]), tau, 100, E, 2), axis=0)\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", - "print(max(list_tau_y, key=lambda x: x[1]))" + "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 = 2.0, y = 2.9999869449725214\n", - "tau = 0.06210526315789474, x = 2.0, y = 2.999918924142131\n", - "tau = 0.11421052631578947, x = 2.0, y = 2.999850907898831\n", - "tau = 0.16631578947368422, x = 2.0, y = 2.9997828962423414\n", - "tau = 0.21842105263157896, x = 2.0, y = 2.9997148891723926\n", - "tau = 0.2705263157894737, x = 2.0, y = 2.999646886688709\n", - "tau = 0.32263157894736844, x = 2.0, y = 2.9995788887910178\n", - "tau = 0.37473684210526315, x = 2.0, y = 2.9995108954790393\n", - "tau = 0.4268421052631579, x = 2.0, y = 2.9994429067525\n", - "tau = 0.4789473684210527, x = 2.0, y = 2.999374922611131\n", - "tau = 0.5310526315789474, x = 2.0, y = 2.999306943054657\n", - "tau = 0.5831578947368421, x = 2.0, y = 2.999238968082799\n", - "tau = 0.6352631578947369, x = 2.0, y = 2.9991709976952876\n", - "tau = 0.6873684210526316, x = 2.0, y = 2.9991030318918375\n", - "tau = 0.7394736842105263, x = 2.0, y = 2.999035070672184\n", - "tau = 0.791578947368421, x = 2.0, y = 2.9989671140360628\n", - "tau = 0.8436842105263158, x = 2.0, y = 2.998899161983174\n", - "tau = 0.8957894736842106, x = 2.0, y = 2.998831214513262\n", - "tau = 0.9478947368421053, x = 2.0, y = 2.9987632716260424\n", - "tau = 1.0, x = 2.0, y = 2.998695333321253\n", - "(np.float64(0.01), np.float64(2.9999869449725214))\n" + "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": 54 + "execution_count": 232 }, { "cell_type": "markdown", @@ -842,10 +893,35 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": "" + "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": [ + "
" + ], + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 231 }, { "cell_type": "code",