diff --git a/notebooks/01_intro_ex_2_sol.ipynb b/notebooks/01_intro_ex_2_sol.ipynb index 666dcf9..38a0c4e 100644 --- a/notebooks/01_intro_ex_2_sol.ipynb +++ b/notebooks/01_intro_ex_2_sol.ipynb @@ -313,7 +313,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 9, @@ -391,7 +391,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 11, @@ -456,9 +456,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# plot correlations for target\n", "plt.figure()\n", @@ -472,9 +493,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "plt.figure()\n", "plt.scatter(x=df.age[df.target==1], y=df.chol[(df.target==1)], c=\"red\")\n", diff --git a/notebooks/02_fit_ex_3_sol.ipynb b/notebooks/02_fit_ex_3_sol.ipynb index 17d1a3a..e85dbe2 100644 --- a/notebooks/02_fit_ex_3_sol.ipynb +++ b/notebooks/02_fit_ex_3_sol.ipynb @@ -9,7 +9,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -20,7 +20,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -32,7 +32,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -43,7 +43,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -64,7 +64,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -75,18 +75,103 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Name Value Hesse Error Minos Error- Minos Error+ Limit- Limit+ Fixed
0 a0 10.0e-3 0.1e-3
1 a1 50.0e-3 0.5e-3
2 a2 10.0e-3 0.1e-3
3 a3 1.00e-3 0.01e-3
" + ], + "text/plain": [ + "┌───┬──────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", + "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", + "├───┼──────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", + "│ 0 │ a0 │ 10.0e-3 │ 0.1e-3 │ │ │ │ │ │\n", + "│ 1 │ a1 │ 50.0e-3 │ 0.5e-3 │ │ │ │ │ │\n", + "│ 2 │ a2 │ 10.0e-3 │ 0.1e-3 │ │ │ │ │ │\n", + "│ 3 │ a3 │ 1.00e-3 │ 0.01e-3 │ │ │ │ │ │\n", + "└───┴──────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "m.params" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Chi2/ndof = 0.8205035668806628\n" + ] + } + ], "source": [ "# run migrad for minimization\n", "m.migrad()\n", @@ -96,9 +181,169 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Migrad
FCN = 13.13 Nfcn = 120
EDM = 7.21e-17 (Goal: 0.0002)
Valid Minimum No Parameters at limit
Below EDM threshold (goal x 10) Below call limit
Covariance Hesse ok Accurate Pos. def. Not forced
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Name Value Hesse Error Minos Error- Minos Error+ Limit- Limit+ Fixed
0 a0 1.884 0.031
1 a1 -0.56 0.06
2 a2 0.136 0.030
3 a3 -0.012 0.005
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a0 a1 a2 a3
a0 0.000952 -0.0016 (-0.918) 0.000752 (0.822) -0.000105 (-0.746)
a1 -0.0016 (-0.918) 0.00317 -0.00163 (-0.975) 0.00024 (0.930)
a2 0.000752 (0.822) -0.00163 (-0.975) 0.000879 -0.000134 (-0.988)
a3 -0.000105 (-0.746) 0.00024 (0.930) -0.000134 (-0.988) 2.1e-05
" + ], + "text/plain": [ + "┌─────────────────────────────────────────────────────────────────────────┐\n", + "│ Migrad │\n", + "├──────────────────────────────────┬──────────────────────────────────────┤\n", + "│ FCN = 13.13 │ Nfcn = 120 │\n", + "│ EDM = 7.21e-17 (Goal: 0.0002) │ │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Valid Minimum │ No Parameters at limit │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Below EDM threshold (goal x 10) │ Below call limit │\n", + "├───────────────┬──────────────────┼───────────┬─────────────┬────────────┤\n", + "│ Covariance │ Hesse ok │ Accurate │ Pos. def. │ Not forced │\n", + "└───────────────┴──────────────────┴───────────┴─────────────┴────────────┘\n", + "┌───┬──────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", + "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", + "├───┼──────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", + "│ 0 │ a0 │ 1.884 │ 0.031 │ │ │ │ │ │\n", + "│ 1 │ a1 │ -0.56 │ 0.06 │ │ │ │ │ │\n", + "│ 2 │ a2 │ 0.136 │ 0.030 │ │ │ │ │ │\n", + "│ 3 │ a3 │ -0.012 │ 0.005 │ │ │ │ │ │\n", + "└───┴──────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", + "┌────┬─────────────────────────────────────────┐\n", + "│ │ a0 a1 a2 a3 │\n", + "├────┼─────────────────────────────────────────┤\n", + "│ a0 │ 0.000952 -0.0016 0.000752 -0.000105 │\n", + "│ a1 │ -0.0016 0.00317 -0.00163 0.00024 │\n", + "│ a2 │ 0.000752 -0.00163 0.000879 -0.000134 │\n", + "│ a3 │ -0.000105 0.00024 -0.000134 2.1e-05 │\n", + "└────┴─────────────────────────────────────────┘" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# run covariance \n", "m.hesse()" @@ -106,9 +351,24 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "┌────┬─────────────────────────────────────────┐\n", + "│ │ a0 a1 a2 a3 │\n", + "├────┼─────────────────────────────────────────┤\n", + "│ a0 │ 0.000952 -0.0016 0.000752 -0.000105 │\n", + "│ a1 │ -0.0016 0.00317 -0.00163 0.00024 │\n", + "│ a2 │ 0.000752 -0.00163 0.000879 -0.000134 │\n", + "│ a3 │ -0.000105 0.00024 -0.000134 2.1e-05 │\n", + "└────┴─────────────────────────────────────────┘\n" + ] + } + ], "source": [ "#get correlation matrix\n", "cov = m.covariance\n", @@ -117,9 +377,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-0.0015953258466008735\n", + "0.0007515996501623164\n" + ] + } + ], "source": [ "# access elements of the numpy arrays\n", "print(cov[0, 1])\n", @@ -128,9 +397,241 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Migrad
FCN = 13.13 Nfcn = 280
EDM = 7.21e-17 (Goal: 0.0002)
Valid Minimum No Parameters at limit
Below EDM threshold (goal x 10) Below call limit
Covariance Hesse ok Accurate Pos. def. Not forced
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Name Value Hesse Error Minos Error- Minos Error+ Limit- Limit+ Fixed
0 a0 1.884 0.031 -0.031 0.031
1 a1 -0.56 0.06 -0.06 0.06
2 a2 0.136 0.030 -0.030 0.030
3 a3 -0.012 0.005 -0.005 0.005
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a0 a1 a2 a3
Error -0.031 0.031 -0.06 0.06 -0.03 0.03 -0.005 0.005
Valid True True True True True True True True
At Limit False False False False False False False False
Max FCN False False False False False False False False
New Min False False False False False False False False
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a0 a1 a2 a3
a0 0.000952 -0.0016 (-0.918) 0.000752 (0.822) -0.000105 (-0.746)
a1 -0.0016 (-0.918) 0.00317 -0.00163 (-0.975) 0.00024 (0.930)
a2 0.000752 (0.822) -0.00163 (-0.975) 0.000879 -0.000134 (-0.988)
a3 -0.000105 (-0.746) 0.00024 (0.930) -0.000134 (-0.988) 2.1e-05
" + ], + "text/plain": [ + "┌─────────────────────────────────────────────────────────────────────────┐\n", + "│ Migrad │\n", + "├──────────────────────────────────┬──────────────────────────────────────┤\n", + "│ FCN = 13.13 │ Nfcn = 280 │\n", + "│ EDM = 7.21e-17 (Goal: 0.0002) │ │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Valid Minimum │ No Parameters at limit │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Below EDM threshold (goal x 10) │ Below call limit │\n", + "├───────────────┬──────────────────┼───────────┬─────────────┬────────────┤\n", + "│ Covariance │ Hesse ok │ Accurate │ Pos. def. │ Not forced │\n", + "└───────────────┴──────────────────┴───────────┴─────────────┴────────────┘\n", + "┌───┬──────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", + "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", + "├───┼──────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", + "│ 0 │ a0 │ 1.884 │ 0.031 │ -0.031 │ 0.031 │ │ │ │\n", + "│ 1 │ a1 │ -0.56 │ 0.06 │ -0.06 │ 0.06 │ │ │ │\n", + "│ 2 │ a2 │ 0.136 │ 0.030 │ -0.030 │ 0.030 │ │ │ │\n", + "│ 3 │ a3 │ -0.012 │ 0.005 │ -0.005 │ 0.005 │ │ │ │\n", + "└───┴──────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", + "┌──────────┬───────────────────────┬───────────────────────┬───────────────────────┬───────────────────────┐\n", + "│ │ a0 │ a1 │ a2 │ a3 │\n", + "├──────────┼───────────┬───────────┼───────────┬───────────┼───────────┬───────────┼───────────┬───────────┤\n", + "│ Error │ -0.031 │ 0.031 │ -0.06 │ 0.06 │ -0.03 │ 0.03 │ -0.005 │ 0.005 │\n", + "│ Valid │ True │ True │ True │ True │ True │ True │ True │ True │\n", + "│ At Limit │ False │ False │ False │ False │ False │ False │ False │ False │\n", + "│ Max FCN │ False │ False │ False │ False │ False │ False │ False │ False │\n", + "│ New Min │ False │ False │ False │ False │ False │ False │ False │ False │\n", + "└──────────┴───────────┴───────────┴───────────┴───────────┴───────────┴───────────┴───────────┴───────────┘\n", + "┌────┬─────────────────────────────────────────┐\n", + "│ │ a0 a1 a2 a3 │\n", + "├────┼─────────────────────────────────────────┤\n", + "│ a0 │ 0.000952 -0.0016 0.000752 -0.000105 │\n", + "│ a1 │ -0.0016 0.00317 -0.00163 0.00024 │\n", + "│ a2 │ 0.000752 -0.00163 0.000879 -0.000134 │\n", + "│ a3 │ -0.000105 0.00024 -0.000134 2.1e-05 │\n", + "└────┴─────────────────────────────────────────┘" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# run minos error analysis\n", "# The Minos algorithm uses the profile likelihood method to compute\n", @@ -140,9 +641,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Get a 2D contour of the function around the minimum for 2 parameters\n", "# and draw a 2 D contours up to 4 sigma of a1 and a2 \n", @@ -151,18 +673,92 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(array([0.07628965, 0.07748762, 0.07868559, 0.07988356, 0.08108153,\n", + " 0.0822795 , 0.08347748, 0.08467545, 0.08587342, 0.08707139,\n", + " 0.08826936, 0.08946733, 0.0906653 , 0.09186328, 0.09306125,\n", + " 0.09425922, 0.09545719, 0.09665516, 0.09785313, 0.0990511 ,\n", + " 0.10024908, 0.10144705, 0.10264502, 0.10384299, 0.10504096,\n", + " 0.10623893, 0.1074369 , 0.10863488, 0.10983285, 0.11103082,\n", + " 0.11222879, 0.11342676, 0.11462473, 0.1158227 , 0.11702068,\n", + " 0.11821865, 0.11941662, 0.12061459, 0.12181256, 0.12301053,\n", + " 0.12420851, 0.12540648, 0.12660445, 0.12780242, 0.12900039,\n", + " 0.13019836, 0.13139633, 0.13259431, 0.13379228, 0.13499025,\n", + " 0.13618822, 0.13738619, 0.13858416, 0.13978213, 0.14098011,\n", + " 0.14217808, 0.14337605, 0.14457402, 0.14577199, 0.14696996,\n", + " 0.14816793, 0.14936591, 0.15056388, 0.15176185, 0.15295982,\n", + " 0.15415779, 0.15535576, 0.15655373, 0.15775171, 0.15894968,\n", + " 0.16014765, 0.16134562, 0.16254359, 0.16374156, 0.16493953,\n", + " 0.16613751, 0.16733548, 0.16853345, 0.16973142, 0.17092939,\n", + " 0.17212736, 0.17332533, 0.17452331, 0.17572128, 0.17691925,\n", + " 0.17811722, 0.17931519, 0.18051316, 0.18171113, 0.18290911,\n", + " 0.18410708, 0.18530505, 0.18650302, 0.18770099, 0.18889896,\n", + " 0.19009693, 0.19129491, 0.19249288, 0.19369085, 0.19488882]),\n", + " array([7.76355388e+03, 7.45301172e+03, 7.14880716e+03, 6.85094020e+03,\n", + " 6.55941083e+03, 6.27421905e+03, 5.99536487e+03, 5.72284829e+03,\n", + " 5.45666930e+03, 5.19682790e+03, 4.94332410e+03, 4.69615790e+03,\n", + " 4.45532929e+03, 4.22083827e+03, 3.99268485e+03, 3.77086903e+03,\n", + " 3.55539080e+03, 3.34625016e+03, 3.14344712e+03, 2.94698168e+03,\n", + " 2.75685383e+03, 2.57306357e+03, 2.39561091e+03, 2.22449585e+03,\n", + " 2.05971838e+03, 1.90127850e+03, 1.74917622e+03, 1.60341154e+03,\n", + " 1.46398445e+03, 1.33089495e+03, 1.20414305e+03, 1.08372875e+03,\n", + " 9.69652035e+02, 8.61912920e+02, 7.60511400e+02, 6.65447475e+02,\n", + " 5.76721145e+02, 4.94332410e+02, 4.18281270e+02, 3.48567725e+02,\n", + " 2.85191775e+02, 2.28153420e+02, 1.77452660e+02, 1.33089495e+02,\n", + " 9.50639250e+01, 6.33759500e+01, 3.80255700e+01, 1.90127850e+01,\n", + " 6.33759500e+00, 8.32667268e-11, 0.00000000e+00, 6.33759500e+00,\n", + " 1.90127850e+01, 3.80255700e+01, 6.33759500e+01, 9.50639250e+01,\n", + " 1.33089495e+02, 1.77452660e+02, 2.28153420e+02, 2.85191775e+02,\n", + " 3.48567725e+02, 4.18281270e+02, 4.94332410e+02, 5.76721145e+02,\n", + " 6.65447475e+02, 7.60511400e+02, 8.61912920e+02, 9.69652035e+02,\n", + " 1.08372875e+03, 1.20414305e+03, 1.33089495e+03, 1.46398445e+03,\n", + " 1.60341154e+03, 1.74917622e+03, 1.90127850e+03, 2.05971838e+03,\n", + " 2.22449585e+03, 2.39561091e+03, 2.57306357e+03, 2.75685383e+03,\n", + " 2.94698168e+03, 3.14344712e+03, 3.34625016e+03, 3.55539080e+03,\n", + " 3.77086903e+03, 3.99268485e+03, 4.22083827e+03, 4.45532929e+03,\n", + " 4.69615790e+03, 4.94332410e+03, 5.19682790e+03, 5.45666930e+03,\n", + " 5.72284829e+03, 5.99536487e+03, 6.27421905e+03, 6.55941083e+03,\n", + " 6.85094020e+03, 7.14880716e+03, 7.45301172e+03, 7.76355388e+03]))" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "m.draw_profile(\"a2\",subtract_min=True)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-0.029647391105505568\n", + "0.029647391215961143\n" + ] + } + ], "source": [ "# access fit results by parameter name and get minos asymetric errors\n", "print (m.merrors['a2'].lower)\n", @@ -171,9 +767,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n", + "\n" + ] + } + ], "source": [ "# more print out\n", "print (m.values,m.errors)\n", @@ -182,7 +787,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -195,7 +800,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -206,9 +811,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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Migrad
FCN = 3.719 Nfcn = 103
EDM = 4.33e-16 (Goal: 0.0002)
Valid Minimum No Parameters at limit
Below EDM threshold (goal x 10) Below call limit
Covariance Hesse ok Accurate Pos. def. Not forced
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Name Value Hesse Error Minos Error- Minos Error+ Limit- Limit+ Fixed
0 a0 -0.98 0.34
1 a1 2.52 0.30
2 a2 -0.48 0.06
3 a3 0.0259 0.0035
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a0 a1 a2 a3
a0 0.119 -0.096 (-0.931) 0.0183 (0.878) -0.000997 (-0.835)
a1 -0.096 (-0.931) 0.0893 -0.0178 (-0.987) 0.000996 (0.962)
a2 0.0183 (0.878) -0.0178 (-0.987) 0.00366 -0.000208 (-0.993)
a3 -0.000997 (-0.835) 0.000996 (0.962) -0.000208 (-0.993) 1.2e-05
" + ], + "text/plain": [ + "┌─────────────────────────────────────────────────────────────────────────┐\n", + "│ Migrad │\n", + "├──────────────────────────────────┬──────────────────────────────────────┤\n", + "│ FCN = 3.719 │ Nfcn = 103 │\n", + "│ EDM = 4.33e-16 (Goal: 0.0002) │ │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Valid Minimum │ No Parameters at limit │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Below EDM threshold (goal x 10) │ Below call limit │\n", + "├───────────────┬──────────────────┼───────────┬─────────────┬────────────┤\n", + "│ Covariance │ Hesse ok │ Accurate │ Pos. def. │ Not forced │\n", + "└───────────────┴──────────────────┴───────────┴─────────────┴────────────┘\n", + "┌───┬──────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", + "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", + "├───┼──────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", + "│ 0 │ a0 │ -0.98 │ 0.34 │ │ │ │ │ │\n", + "│ 1 │ a1 │ 2.52 │ 0.30 │ │ │ │ │ │\n", + "│ 2 │ a2 │ -0.48 │ 0.06 │ │ │ │ │ │\n", + "│ 3 │ a3 │ 0.0259 │ 0.0035 │ │ │ │ │ │\n", + "└───┴──────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", + "┌────┬─────────────────────────────────────────┐\n", + "│ │ a0 a1 a2 a3 │\n", + "├────┼─────────────────────────────────────────┤\n", + "│ a0 │ 0.119 -0.096 0.0183 -0.000997 │\n", + "│ a1 │ -0.096 0.0893 -0.0178 0.000996 │\n", + "│ a2 │ 0.0183 -0.0178 0.00366 -0.000208 │\n", + "│ a3 │ -0.000997 0.000996 -0.000208 1.2e-05 │\n", + "└────┴─────────────────────────────────────────┘" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# create instance of Minuit and use LSQ function to minimize\n", "LSQ.errordef = Minuit.LEAST_SQUARES\n", @@ -78,9 +238,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Chi2/ndof = 0.6198527004952333\n" + ] + } + ], "source": [ "# get function value at the minimum, which is per definition a chi2\n", "# obtain chi2 / degree of freedom (dof)\n", @@ -90,9 +258,169 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Migrad
FCN = 3.719 Nfcn = 128
EDM = 1.06e-17 (Goal: 0.0002)
Valid Minimum No Parameters at limit
Below EDM threshold (goal x 10) Below call limit
Covariance Hesse ok Accurate Pos. def. Not forced
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Name Value Hesse Error Minos Error- Minos Error+ Limit- Limit+ Fixed
0 a0 -0.98 0.34
1 a1 2.52 0.30
2 a2 -0.48 0.06
3 a3 0.0259 0.0035
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a0 a1 a2 a3
a0 0.119 -0.0961 (-0.931) 0.0183 (0.878) -0.000999 (-0.835)
a1 -0.0961 (-0.931) 0.0895 -0.0179 (-0.987) 0.000997 (0.962)
a2 0.0183 (0.878) -0.0179 (-0.987) 0.00366 -0.000208 (-0.993)
a3 -0.000999 (-0.835) 0.000997 (0.962) -0.000208 (-0.993) 1.2e-05
" + ], + "text/plain": [ + "┌─────────────────────────────────────────────────────────────────────────┐\n", + "│ Migrad │\n", + "├──────────────────────────────────┬──────────────────────────────────────┤\n", + "│ FCN = 3.719 │ Nfcn = 128 │\n", + "│ EDM = 1.06e-17 (Goal: 0.0002) │ │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Valid Minimum │ No Parameters at limit │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Below EDM threshold (goal x 10) │ Below call limit │\n", + "├───────────────┬──────────────────┼───────────┬─────────────┬────────────┤\n", + "│ Covariance │ Hesse ok │ Accurate │ Pos. def. │ Not forced │\n", + "└───────────────┴──────────────────┴───────────┴─────────────┴────────────┘\n", + "┌───┬──────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", + "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", + "├───┼──────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", + "│ 0 │ a0 │ -0.98 │ 0.34 │ │ │ │ │ │\n", + "│ 1 │ a1 │ 2.52 │ 0.30 │ │ │ │ │ │\n", + "│ 2 │ a2 │ -0.48 │ 0.06 │ │ │ │ │ │\n", + "│ 3 │ a3 │ 0.0259 │ 0.0035 │ │ │ │ │ │\n", + "└───┴──────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", + "┌────┬─────────────────────────────────────────┐\n", + "│ │ a0 a1 a2 a3 │\n", + "├────┼─────────────────────────────────────────┤\n", + "│ a0 │ 0.119 -0.0961 0.0183 -0.000999 │\n", + "│ a1 │ -0.0961 0.0895 -0.0179 0.000997 │\n", + "│ a2 │ 0.0183 -0.0179 0.00366 -0.000208 │\n", + "│ a3 │ -0.000999 0.000997 -0.000208 1.2e-05 │\n", + "└────┴─────────────────────────────────────────┘" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# run covariance \n", "m.hesse()" @@ -100,9 +428,66 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
a0 a1 a2 a3
a0 0.119 -0.0961 (-0.931) 0.0183 (0.878) -0.000999 (-0.835)
a1 -0.0961 (-0.931) 0.0895 -0.0179 (-0.987) 0.000997 (0.962)
a2 0.0183 (0.878) -0.0179 (-0.987) 0.00366 -0.000208 (-0.993)
a3 -0.000999 (-0.835) 0.000997 (0.962) -0.000208 (-0.993) 1.2e-05
" + ], + "text/plain": [ + "┌────┬─────────────────────────────────────────┐\n", + "│ │ a0 a1 a2 a3 │\n", + "├────┼─────────────────────────────────────────┤\n", + "│ a0 │ 0.119 -0.0961 0.0183 -0.000999 │\n", + "│ a1 │ -0.0961 0.0895 -0.0179 0.000997 │\n", + "│ a2 │ 0.0183 -0.0179 0.00366 -0.000208 │\n", + "│ a3 │ -0.000999 0.000997 -0.000208 1.2e-05 │\n", + "└────┴─────────────────────────────────────────┘" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "#get covariance matrix\n", "m.covariance" @@ -110,9 +495,24 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "┌────┬─────────────────────────────────────────┐\n", + "│ │ a0 a1 a2 a3 │\n", + "├────┼─────────────────────────────────────────┤\n", + "│ a0 │ 0.119 -0.0961 0.0183 -0.000999 │\n", + "│ a1 │ -0.0961 0.0895 -0.0179 0.000997 │\n", + "│ a2 │ 0.0183 -0.0179 0.00366 -0.000208 │\n", + "│ a3 │ -0.000999 0.000997 -0.000208 1.2e-05 │\n", + "└────┴─────────────────────────────────────────┘\n" + ] + } + ], "source": [ "#get correlation matrix in numpy array\n", "cov = m.covariance\n", @@ -121,9 +521,241 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Migrad
FCN = 3.719 Nfcn = 300
EDM = 1.06e-17 (Goal: 0.0002)
Valid Minimum No Parameters at limit
Below EDM threshold (goal x 10) Below call limit
Covariance Hesse ok Accurate Pos. def. Not forced
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Name Value Hesse Error Minos Error- Minos Error+ Limit- Limit+ Fixed
0 a0 -0.98 0.35 -0.34 0.34
1 a1 2.52 0.30 -0.30 0.30
2 a2 -0.48 0.06 -0.06 0.06
3 a3 0.0259 0.0035 -0.0035 0.0035
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a0 a1 a2 a3
Error -0.34 0.34 -0.3 0.3 -0.06 0.06 -0.0035 0.0035
Valid True True True True True True True True
At Limit False False False False False False False False
Max FCN False False False False False False False False
New Min False False False False False False False False
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a0 a1 a2 a3
a0 0.119 -0.0961 (-0.931) 0.0183 (0.878) -0.000999 (-0.835)
a1 -0.0961 (-0.931) 0.0895 -0.0179 (-0.987) 0.000997 (0.962)
a2 0.0183 (0.878) -0.0179 (-0.987) 0.00366 -0.000208 (-0.993)
a3 -0.000999 (-0.835) 0.000997 (0.962) -0.000208 (-0.993) 1.2e-05
" + ], + "text/plain": [ + "┌─────────────────────────────────────────────────────────────────────────┐\n", + "│ Migrad │\n", + "├──────────────────────────────────┬──────────────────────────────────────┤\n", + "│ FCN = 3.719 │ Nfcn = 300 │\n", + "│ EDM = 1.06e-17 (Goal: 0.0002) │ │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Valid Minimum │ No Parameters at limit │\n", + "├──────────────────────────────────┼──────────────────────────────────────┤\n", + "│ Below EDM threshold (goal x 10) │ Below call limit │\n", + "├───────────────┬──────────────────┼───────────┬─────────────┬────────────┤\n", + "│ Covariance │ Hesse ok │ Accurate │ Pos. def. │ Not forced │\n", + "└───────────────┴──────────────────┴───────────┴─────────────┴────────────┘\n", + "┌───┬──────┬───────────┬───────────┬────────────┬────────────┬─────────┬─────────┬───────┐\n", + "│ │ Name │ Value │ Hesse Err │ Minos Err- │ Minos Err+ │ Limit- │ Limit+ │ Fixed │\n", + "├───┼──────┼───────────┼───────────┼────────────┼────────────┼─────────┼─────────┼───────┤\n", + "│ 0 │ a0 │ -0.98 │ 0.35 │ -0.34 │ 0.34 │ │ │ │\n", + "│ 1 │ a1 │ 2.52 │ 0.30 │ -0.30 │ 0.30 │ │ │ │\n", + "│ 2 │ a2 │ -0.48 │ 0.06 │ -0.06 │ 0.06 │ │ │ │\n", + "│ 3 │ a3 │ 0.0259 │ 0.0035 │ -0.0035 │ 0.0035 │ │ │ │\n", + "└───┴──────┴───────────┴───────────┴────────────┴────────────┴─────────┴─────────┴───────┘\n", + "┌──────────┬───────────────────────┬───────────────────────┬───────────────────────┬───────────────────────┐\n", + "│ │ a0 │ a1 │ a2 │ a3 │\n", + "├──────────┼───────────┬───────────┼───────────┬───────────┼───────────┬───────────┼───────────┬───────────┤\n", + "│ Error │ -0.34 │ 0.34 │ -0.3 │ 0.3 │ -0.06 │ 0.06 │ -0.0035 │ 0.0035 │\n", + "│ Valid │ True │ True │ True │ True │ True │ True │ True │ True │\n", + "│ At Limit │ False │ False │ False │ False │ False │ False │ False │ False │\n", + "│ Max FCN │ False │ False │ False │ False │ False │ False │ False │ False │\n", + "│ New Min │ False │ False │ False │ False │ False │ False │ False │ False │\n", + "└──────────┴───────────┴───────────┴───────────┴───────────┴───────────┴───────────┴───────────┴───────────┘\n", + "┌────┬─────────────────────────────────────────┐\n", + "│ │ a0 a1 a2 a3 │\n", + "├────┼─────────────────────────────────────────┤\n", + "│ a0 │ 0.119 -0.0961 0.0183 -0.000999 │\n", + "│ a1 │ -0.0961 0.0895 -0.0179 0.000997 │\n", + "│ a2 │ 0.0183 -0.0179 0.00366 -0.000208 │\n", + "│ a3 │ -0.000999 0.000997 -0.000208 1.2e-05 │\n", + "└────┴─────────────────────────────────────────┘" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# run minos error analysis\n", "# The Minos algorithm uses the profile likelihood method to compute\n", @@ -133,9 +765,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Get a 2D contour of the function around the minimum for 2 parameters\n", "# and draw a 2 D contours up to 4 sigma of a1 and a2 \n", @@ -145,9 +798,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + } + ], "source": [ "print(m.values,m.errors)\n", "a0_fit = m.values[\"a0\"]\n", @@ -158,7 +819,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -169,9 +830,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# plot data \n", "plt.figure()\n", diff --git a/notebooks/03_ml_basics_ex_1_magic.ipynb b/notebooks/03_ml_basics_ex_1_magic.ipynb index 110f395..756a2c1 100644 --- a/notebooks/03_ml_basics_ex_1_magic.ipynb +++ b/notebooks/03_ml_basics_ex_1_magic.ipynb @@ -206,7 +206,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -220,7 +220,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.8.16" } }, "nbformat": 4, diff --git a/notebooks/03_ml_basics_ex_1_sol_magic.ipynb b/notebooks/03_ml_basics_ex_1_sol_magic.ipynb index 4f474a3..cc7def6 100644 --- a/notebooks/03_ml_basics_ex_1_sol_magic.ipynb +++ b/notebooks/03_ml_basics_ex_1_sol_magic.ipynb @@ -445,7 +445,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -459,7 +459,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.8.16" } }, "nbformat": 4, diff --git a/notebooks/03_ml_basics_ex_2_display_Cifar10_Greyscale.ipynb b/notebooks/03_ml_basics_ex_2_display_Cifar10_Greyscale.ipynb index 430c38d..aba32c9 100644 --- a/notebooks/03_ml_basics_ex_2_display_Cifar10_Greyscale.ipynb +++ b/notebooks/03_ml_basics_ex_2_display_Cifar10_Greyscale.ipynb @@ -91,6 +91,9 @@ "outputs": [], "source": [ "# Convert images to grayscale\n", + "# The ... notation is used to select all dimensions of the array up to the last one\n", + "# The vector [0.2989, 0.5870, 0.1140] converts a color image to grayscale by taking \n", + "# a weighted average of the color channels.\n", "train_images_gray = np.dot(x_train[..., :3], [0.2989, 0.5870, 0.1140])\n", "test_images_gray = np.dot(x_test[..., :3], [0.2989, 0.5870, 0.1140])" ] diff --git a/notebooks/03_ml_basics_minimizer_methods.ipynb b/notebooks/03_ml_basics_minimizer_methods.ipynb index b148ffc..cef5e69 100644 --- a/notebooks/03_ml_basics_minimizer_methods.ipynb +++ b/notebooks/03_ml_basics_minimizer_methods.ipynb @@ -12,10 +12,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "270932f3", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2023-04-11 16:44:42.299418: I tensorflow/core/platform/cpu_feature_guard.cc:193] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations: SSE4.1 SSE4.2 AVX AVX2 AVX512F AVX512_VNNI FMA\n", + "To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n", + "2023-04-11 16:44:42.360104: I tensorflow/core/util/port.cc:104] oneDNN custom operations are on. You may see slightly different numerical results due to floating-point round-off errors from different computation orders. To turn them off, set the environment variable `TF_ENABLE_ONEDNN_OPTS=0`.\n" + ] + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -24,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "77cd99a8", "metadata": {}, "outputs": [], @@ -50,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "ed8449c3", "metadata": {}, "outputs": [], @@ -65,10 +75,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "71e072b4", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2023-04-11 16:44:43.775141: I tensorflow/core/platform/cpu_feature_guard.cc:193] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations: SSE4.1 SSE4.2 AVX AVX2 AVX512F AVX512_VNNI FMA\n", + "To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n" + ] + } + ], "source": [ "# This model has 2 dense layers the first with relu activation\n", "# and the 2nd layer has 1 output unit and uses the default\n", @@ -82,7 +101,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "5fabf184", "metadata": {}, "outputs": [], @@ -98,10 +117,138 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "22c4124f", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/60\n", + "1/1 [==============================] - 0s 396ms/step - loss: 15.2606\n", + "Epoch 2/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 12.7440\n", + "Epoch 3/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 10.4745\n", + "Epoch 4/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 8.4519\n", + "Epoch 5/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 6.6738\n", + "Epoch 6/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 5.1356\n", + "Epoch 7/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 3.8306\n", + "Epoch 8/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 2.7499\n", + "Epoch 9/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 1.8823\n", + "Epoch 10/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 1.2142\n", + "Epoch 11/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.7292\n", + "Epoch 12/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.4087\n", + "Epoch 13/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2310\n", + "Epoch 14/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.1722\n", + "Epoch 15/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2060\n", + "Epoch 16/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.3049\n", + "Epoch 17/60\n", + "1/1 [==============================] - 0s 2ms/step - loss: 0.4419\n", + "Epoch 18/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.5909\n", + "Epoch 19/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.7296\n", + "Epoch 20/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.8423\n", + "Epoch 21/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.9194\n", + "Epoch 22/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.9578\n", + "Epoch 23/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.9579\n", + "Epoch 24/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.9233\n", + "Epoch 25/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.8606\n", + "Epoch 26/60\n", + "1/1 [==============================] - 0s 2ms/step - loss: 0.7777\n", + "Epoch 27/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.6828\n", + "Epoch 28/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.5839\n", + "Epoch 29/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.4879\n", + "Epoch 30/60\n", + "1/1 [==============================] - 0s 2ms/step - loss: 0.4003\n", + "Epoch 31/60\n", + "1/1 [==============================] - 0s 2ms/step - loss: 0.3253\n", + "Epoch 32/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2652\n", + "Epoch 33/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2208\n", + "Epoch 34/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1917\n", + "Epoch 35/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.1766\n", + "Epoch 36/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.1731\n", + "Epoch 37/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1785\n", + "Epoch 38/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1899\n", + "Epoch 39/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2046\n", + "Epoch 40/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.2202\n", + "Epoch 41/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2345\n", + "Epoch 42/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2460\n", + "Epoch 43/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2537\n", + "Epoch 44/60\n", + "1/1 [==============================] - 0s 5ms/step - loss: 0.2572\n", + "Epoch 45/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2565\n", + "Epoch 46/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2520\n", + "Epoch 47/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2444\n", + "Epoch 48/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.2346\n", + "Epoch 49/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2234\n", + "Epoch 50/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.2119\n", + "Epoch 51/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.2010\n", + "Epoch 52/60\n", + "1/1 [==============================] - 0s 11ms/step - loss: 0.1912\n", + "Epoch 53/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1831\n", + "Epoch 54/60\n", + "1/1 [==============================] - 0s 4ms/step - loss: 0.1771\n", + "Epoch 55/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1730\n", + "Epoch 56/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1709\n", + "Epoch 57/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1705\n", + "Epoch 58/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1713\n", + "Epoch 59/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1730\n", + "Epoch 60/60\n", + "1/1 [==============================] - 0s 3ms/step - loss: 0.1751\n", + "{'verbose': 1, 'epochs': 60, 'steps': 1}\n" + ] + } + ], "source": [ "# Train the model and access training parameters\n", "history = model.fit(train_X, train_Y, epochs=60)\n", @@ -110,10 +257,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "46615960", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Weight matrix shape: (1, 17)\n", + "Bias vector shape: (17,)\n", + "[[-0.2720451 0.25746062 0.00145817 -0.14928943 -0.18011677 -0.38295865\n", + " -0.10688066 -0.08276322 -0.06117761 -0.415354 0.21152566 -0.015845\n", + " -0.22856292 0.25203183 0.29251993 -0.08234903 0.6508041 ]]\n" + ] + } + ], "source": [ "# Get the weights of the Dense layer\n", "weights = model.layers[0].get_weights()\n", @@ -125,10 +284,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "da12fc5b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Plot the loss function\n", "plt.plot(history.history['loss'])\n", diff --git a/notebooks/03_ml_basics_simple_neural_network.ipynb b/notebooks/03_ml_basics_simple_neural_network.ipynb index a878547..87272d1 100755 --- a/notebooks/03_ml_basics_simple_neural_network.ipynb +++ b/notebooks/03_ml_basics_simple_neural_network.ipynb @@ -1,7 +1,6 @@ { "cells": [ { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -24,7 +23,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -83,7 +81,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -100484,7 +100481,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.8.16" }, "vscode": { "interpreter": { diff --git a/notebooks/03_ml_basics_tf_binary_classification_example.ipynb b/notebooks/03_ml_basics_tf_binary_classification_example.ipynb index 7802f91..f1c3c8b 100644 --- a/notebooks/03_ml_basics_tf_binary_classification_example.ipynb +++ b/notebooks/03_ml_basics_tf_binary_classification_example.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "344b183c", "metadata": {}, "outputs": [], @@ -16,10 +16,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "92c9d0a1", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2023-04-11 16:48:11.741526: I tensorflow/core/platform/cpu_feature_guard.cc:193] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations: SSE4.1 SSE4.2 AVX AVX2 AVX512F AVX512_VNNI FMA\n", + "To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n", + "2023-04-11 16:48:11.802317: I tensorflow/core/util/port.cc:104] oneDNN custom operations are on. You may see slightly different numerical results due to floating-point round-off errors from different computation orders. To turn them off, set the environment variable `TF_ENABLE_ONEDNN_OPTS=0`.\n" + ] + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -28,7 +38,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "3814ea1d", "metadata": {}, "outputs": [], @@ -48,7 +58,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "a1d437df", "metadata": {}, "outputs": [], @@ -59,7 +69,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "6bbccf56", "metadata": {}, "outputs": [], @@ -73,10 +83,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "f8dd0511", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Plot the input data with points colored according to their labels\n", "plt.scatter(class1_data[:, 0], class1_data[:, 1], color='red')\n", @@ -98,10 +119,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "ad6dcef9", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2023-04-11 16:48:13.355862: I tensorflow/core/platform/cpu_feature_guard.cc:193] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations: SSE4.1 SSE4.2 AVX AVX2 AVX512F AVX512_VNNI FMA\n", + "To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n" + ] + } + ], "source": [ "model = tf.keras.models.Sequential([\n", " tf.keras.layers.Dense(32, activation='relu', input_shape=(2,)),\n", @@ -126,7 +156,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "7f6dc4ef", "metadata": {}, "outputs": [], @@ -150,20 +180,78 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "b98e46ba", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/20\n", + "63/63 [==============================] - 1s 1ms/step - loss: 0.4911 - accuracy: 0.8340\n", + "Epoch 2/20\n", + "63/63 [==============================] - 0s 889us/step - loss: 0.2459 - accuracy: 0.9255\n", + "Epoch 3/20\n", + "63/63 [==============================] - 0s 815us/step - loss: 0.1932 - accuracy: 0.9270\n", + "Epoch 4/20\n", + "63/63 [==============================] - 0s 797us/step - loss: 0.1898 - accuracy: 0.9265\n", + "Epoch 5/20\n", + "63/63 [==============================] - 0s 797us/step - loss: 0.1895 - accuracy: 0.9275\n", + "Epoch 6/20\n", + "63/63 [==============================] - 0s 806us/step - loss: 0.1894 - accuracy: 0.9265\n", + "Epoch 7/20\n", + "63/63 [==============================] - 0s 839us/step - loss: 0.1890 - accuracy: 0.9275\n", + "Epoch 8/20\n", + "63/63 [==============================] - 0s 852us/step - loss: 0.1887 - accuracy: 0.9255\n", + "Epoch 9/20\n", + "63/63 [==============================] - 0s 793us/step - loss: 0.1885 - accuracy: 0.9265\n", + "Epoch 10/20\n", + "63/63 [==============================] - 0s 799us/step - loss: 0.1882 - accuracy: 0.9245\n", + "Epoch 11/20\n", + "63/63 [==============================] - 0s 846us/step - loss: 0.1885 - accuracy: 0.9255\n", + "Epoch 12/20\n", + "63/63 [==============================] - 0s 853us/step - loss: 0.1883 - accuracy: 0.9260\n", + "Epoch 13/20\n", + "63/63 [==============================] - 0s 816us/step - loss: 0.1890 - accuracy: 0.9225\n", + "Epoch 14/20\n", + "63/63 [==============================] - 0s 816us/step - loss: 0.1887 - accuracy: 0.9255\n", + "Epoch 15/20\n", + "63/63 [==============================] - 0s 834us/step - loss: 0.1877 - accuracy: 0.9255\n", + "Epoch 16/20\n", + "63/63 [==============================] - 0s 807us/step - loss: 0.1888 - accuracy: 0.9250\n", + "Epoch 17/20\n", + "63/63 [==============================] - 0s 811us/step - loss: 0.1881 - accuracy: 0.9255\n", + "Epoch 18/20\n", + "63/63 [==============================] - 0s 854us/step - loss: 0.1878 - accuracy: 0.9255\n", + "Epoch 19/20\n", + "63/63 [==============================] - 0s 865us/step - loss: 0.1879 - accuracy: 0.9260\n", + "Epoch 20/20\n", + "63/63 [==============================] - 0s 852us/step - loss: 0.1881 - accuracy: 0.9260\n" + ] + } + ], "source": [ "history = model.fit(train_data, toy_labels, epochs=20, batch_size=32, verbose=1)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "id": "806497d2", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Plot loss and accuracy\n", "plt.figure(figsize=(12, 4))\n", @@ -183,10 +271,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "id": "ca6da322", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7772/7772 [==============================] - 4s 528us/step\n" + ] + } + ], "source": [ "# Plot data points and decision boundary\n", "x_min, x_max = train_data[:, 0].min() - .5, train_data[:, 0].max() + .5\n", @@ -210,10 +306,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "id": "54c02602", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", 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