{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Minimização de quadráticas\n", "\n", "Suponhamos que temos um problema de minimização da forma\n", "$$\\def\\vect{\\boldsymbol}\\large\n", "\\min\\quad \\frac12\\vect x^TQ\\vect x - \\vect c^T\\vect x\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Onde $\\vect x \\in \\mathbb R^n$ são as variáveis, $Q \\in \\mathbb R^{n \\times n}$ dada é simétrica e definida positiva, e $\\vect c \\in \\mathbb R^n$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercício:\n", "\n", "Mostre que\n", "$$\\large\n", "\\vect x^T Q \\vect x = \\vect x^T\\frac12( Q^T + Q )\\vect x.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## O gradiente da quadrática\n", "\n", "Primeiro, notemos que, se $f( \\vect x ) = \\frac 12 \\vect x^TQ\\vect x - \\vect c^T\\vect x$ então:\n", "$$\\large\n", "\\nabla f( \\vect x ) = Q\\vect x - \\vect c.\n", "$$\n", "Ou seja, a solução do nosso problema satisfaz:\n", "$$\\large\n", "Q\\vect x = \\vect c.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercício:\n", "Mostre a afirmação acima." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Direções $Q$-conjugadas\n", "\n", "Dizemos que dois vetores $\\vect x \\in \\mathbb R^n$ e $\\vect y \\in \\mathbb R^n$ são $Q$-conjugados com $Q \\in \\mathbb R^{n \\times n}$ simétrica definida positiva quando\n", "$$\\large\n", "\\vect x^TQ\\vect y = 0.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note que a noção de conjugação acima corresponde a uma ideia de ortogonalidade de acordo com o produto interno\n", "$$\\large\n", "\\langle \\vect x, \\vect y \\rangle_Q := \\vect x^TQ\\vect y.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Processo de Gram-Schmidt\n", "\n", "O processo de Gram-Schmidt é um algoritmo para obter um conjunto ortonormal de vetores $\\{ \\vect e_1, \\vect e_2, \\dots, \\vect e_n \\} \\subset \\mathbb R^n$ a partir de um conjunto linearmente independente de vetores $\\{ \\vect v_1, \\vect v_2, \\dots, \\vect v_n \\} \\subset \\mathbb R^n$ com a propriedade que para todo $k \\in \\{ 1, 2, \\dots, n \\}$ o conjunto $\\{ \\vect e_1, \\vect e_2, \\dots, \\vect e_k \\}$ gera o mesmo espaço vetorial que $\\{ \\vect v_1, \\vect v_2, \\dots, \\vect v_k \\}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Para $i \\in \\{ 1, 2, \\dots, n \\}$, faça:\n", "\n", " 1.1. \n", " $$\\large\n", " \\tilde{\\vect e}_i = \\vect v_i - \\sum_{k = 1}^{i - 1}\\langle \\vect v_i, \\vect e_k \\rangle\\vect e_k\n", " $$\n", " \n", " 1.2. $$\\large\n", " \\vect e_i = \\frac{\\tilde{\\vect e}_i}{\\|\\tilde{\\vect e}_i\\|}\n", " $$\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No algoritmo acima podemos utilizar qualquer produto interno desde que a norma seja dada por\n", "$$\\large\n", "\\| \\vect x \\| = \\sqrt{\\langle \\vect x, \\vect x \\rangle}.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observemos que\n", "$$\\large\n", "\\langle \\tilde{\\vect e}_i, \\vect e_j \\rangle = \\biggl\\langle \\vect v_i - \\sum_{k = 1}^{i - 1}\\langle \\vect v_i, \\vect e_k \\rangle\\vect e_k, \\vect e_j \\biggr\\rangle\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Primeiro, nos restringimos para o caso $j < i$ e também, por indução, suporemos que os vetores $\\{ \\vect e_1, \\vect e_2, \\dots, \\vect e_{i - 1} \\}$ são ortonormais entre si.\n", "\n", "Desta forma:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\large\n", "\\begin{split}\n", " \\langle \\tilde{\\vect e}_i, \\vect e_j \\rangle & {}=\n", " \\langle \\vect v_i, \\vect e_j \\rangle - \\biggl\\langle \\sum_{k = 1}^{i - 1}\\langle \\vect v_i, \\vect e_k \\rangle\\vect e_k, \\vect e_j \\biggr\\rangle\\\\\n", " & {}= \\langle \\vect v_i, \\vect e_j \\rangle - \\sum_{k = 1}^{i - 1}\\bigl\\langle \\langle \\vect v_i, \\vect e_k \\rangle\\vect e_k, \\vect e_j \\bigr\\rangle\\\\\n", " & {}= \\langle \\vect v_i, \\vect e_j \\rangle - \\sum_{k = 1}^{i - 1}\\langle \\vect v_i, \\vect e_k \\rangle\\langle \\vect e_k, \\vect e_j \\rangle\\\\\n", " & {}= \\langle \\vect v_i, \\vect e_j \\rangle - \\langle \\vect v_i, \\vect e_j \\rangle\\langle \\vect e_j, \\vect e_j \\rangle = 0.\n", "\\end{split}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Processo sem normalização\n", "\n", "1. Para $i \\in \\{ 1, 2, \\dots, n \\}$, faça:\n", "\n", " 1.1. \n", " $$\\large\n", " \\vect e_i = \\vect v_i - \\sum_{k = 1}^{i - 1}\\frac{\\langle \\vect v_i, \\vect e_k \\rangle}{\\langle \\vect e_k, \\vect e_k \\rangle}\\vect e_k.\n", " $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\large\n", "\\begin{split}\n", " \\langle \\vect e_i, \\vect e_j \\rangle & {}=\n", " \\langle \\vect v_i, \\vect e_j \\rangle - \\biggl\\langle \\sum_{k = 1}^{i - 1}\\frac{\\langle \\vect v_i, \\vect e_k \\rangle}{\\langle \\vect e_k, \\vect e_k \\rangle}\\vect e_k, \\vect e_j \\biggr\\rangle\\\\\n", " & {}= \\langle \\vect v_i, \\vect e_j \\rangle - \\sum_{k = 1}^{i - 1}\\frac{\\langle \\vect v_i, \\vect e_k \\rangle}{\\langle \\vect e_k, \\vect e_k \\rangle}\\langle \\vect e_k, \\vect e_j \\rangle\\\\\n", " & {}= \\langle \\vect v_i, \\vect e_j \\rangle - \\frac{\\langle \\vect v_i, \\vect e_j \\rangle}{\\langle \\vect e_j, \\vect e_j \\rangle}\\langle \\vect e_j, \\vect e_j \\rangle = 0.\n", "\\end{split}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Por exemplo, no caso em que temos $\\langle \\vect x, \\vect y \\rangle = \\vect x^T Q \\vect y$ o algoritmo não normalizado fica:\n", "1. Para $i \\in \\{ 1, 2, \\dots, n \\}$, faça:\n", "\n", " 1.1. \n", " $$\\large\n", " \\vect e_i = \\vect v_i - \\sum_{k = 1}^{i - 1}\\frac{\\vect v_i^TQ \\vect e_k}{\\vect e_k^TQ \\vect e_k}\\vect e_k.\n", " $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Método de direções conjugadas\n", "\n", "Seja $\\{ \\vect d_0, \\vect d_1, \\dots, \\vect d_{n - 1} \\} \\subset \\mathbb R^n$ um conjunto de direções $Q$-conjugadas. O método das direções $Q$-conjugadas para a solução de\n", "$$\\large\n", "\\min\\quad \\frac12\\vect x^TQ\\vect x - \\vect c^T\\vect x =: f( \\vect x )\n", "$$\n", "é dado por\n", "\n", "1. Para $k \\in \\{ 1, 2, \\dots, n \\}$:\n", " \n", " 1.1.\n", " $$\\large\n", " \\vect x^{( k + 1 )} = \\vect x^{( k )} + \\lambda_k \\vect d_k\n", " $$\n", " onde\n", " $$\\large\\DeclareMathOperator*{\\argmin}{arg\\;min}\n", " \\lambda_k = \\argmin_{\\lambda \\in \\mathbb R}\\quad f\\bigl( \\vect x^{( k )} + \\lambda \\vect d_k \\bigr)\n", " $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seja $g( \\lambda ) = f\\bigl( \\vect x^{( k )} + \\lambda \\vect d_k \\bigr)$. Então sabemos que $g'( \\lambda_k ) = 0$. Mas\n", "$$\\large\n", "\\begin{split}\n", " g'( \\lambda ) &{}= \\nabla f\\bigl( \\vect x^{( k )} + \\lambda \\vect d_k \\bigr)^T\\vect d_k\\\\\n", " &{}= \\bigl( \\vect x^{( k )} + \\lambda \\vect d_k \\bigr)^TQ\\vect d_k - \\vect c^T\\vect d_k\\\\\n", " &{}= \\lambda \\vect d_k^TQ\\vect d_k + \\bigl( \\vect x^{( k )} \\bigr)^TQ\\vect d_k - \\vect c^T\\vect d_k\\\\\n", " &{}= \\lambda \\vect d_k^TQ\\vect d_k + \\nabla f\\bigl( \\vect x^{( k )} \\bigr)^T\\vect d_k\n", "\\end{split}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ou seja, para que $g'( \\lambda_k ) = 0$, temos que satisfazer\n", "$$\\large\n", "\\lambda_k = \\frac{-\\nabla f\\bigl( \\vect x^{( k )} \\bigr)^T\\vect d_k}{\\vect d_k^TQ\\vect d_k}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As sucessivas iterações do método das direções conjugadas minimizam $f$ sobre uma variedade linear que cresce a cada iteração. Ou seja:\n", "$$\\large\n", "\\vect x^{( k )} = \\argmin_{\\vect x \\in M^{( k )}} \\quad f( \\vect x ),\n", "$$\n", "onde\n", "$$\\large\\DeclareMathOperator{\\span}{span}\n", "M^{( k )} := \\bigl\\{ \\vect x | \\vect x = \\vect x^{( 0 )} + \\vect v, \\vect v \\in \\span \\{ \\vect d_0, \\vect d_1, \\dots, \\vect d_{k - 1} \\} \\bigr\\}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Método dos gradientes conjugados\n", "\n", "O método dos gradientes conjugados é o método obtido pela aplicação do método de direções conjugadas ao conjunto obtido após aplicação do processo de Gram-Schmidt ao conjunto\n", "$$\\large\n", "\\{ -\\nabla f( \\vect x^{( 0 )} ), -\\nabla f( \\vect x^{( 1 )} ), \\dots, -\\nabla f( \\vect x^{( n - 1 )} ) \\} =: \\{ -\\vect g^{( 0 )}, -\\vect g^{( 1 )}, \\dots, -\\vect g^{( n - 1 )} \\}.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Para $k \\in \\{ 0, 1, \\dots, n - 1 \\}$\n", "\n", " 1.1. \n", " $$\\large\n", " \\vect d_k = -\\vect g^{( k )} + \\sum_{i = 1}^{k - 1}\\frac{(\\vect g^{( k )})^TQ \\vect d_i}{\\vect d_i^TQ \\vect d_i}\\vect d_i = -\\vect g^{( k )} + \\beta_k \\vect d_{k - 1},\n", " $$\n", " onde\n", " $$\\large\n", " \\beta_k = \\frac{(\\vect g^{( k )})^T\\vect g^{( k )}}{(\\vect g^{( k - 1 )})^T\\vect g^{( k - 1 )}}\n", " $$\n", " \n", " 1.2.\n", " $$\\large\n", " \\lambda_k = \\frac{-(\\vect g^{( k )})^T\\vect d_k}{\\vect d_k^TQ\\vect d_k}\n", " $$\n", " \n", " 1.3.\n", " $$\\large\n", " \\vect x^{( k + 1 )} = \\vect x^{( k )} + \\lambda_k\\vect d_k.\n", " $$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def CG_trouxa( Q, c, x = None, niter = None ):\n", " \n", " if x is None:\n", " \n", " x = np.random.normal( size = ( Q.shape[ 0 ], ) )\n", " \n", " if niter is None:\n", " \n", " niter = Q.shape[ 0 ]\n", " \n", " d_list = []\n", " Qd_list = []\n", " \n", " for k in range( niter ):\n", " \n", " g = Q @ x - c\n", " \n", " d = -g\n", " for i in range( k ):\n", " \n", " Qdi = Qd_list[ i ]\n", " d += ( g @ Qdi ) / ( d_list[ i ] @ Qdi ) * d_list[ i ]\n", " \n", " d_list.append( d )\n", " Qd = Q @ d\n", " Qd_list.append( Qd )\n", " \n", " step = ( -g @ d ) / ( d @ Qd )\n", " \n", " x = x + step * d\n", " \n", " return x " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "n = 50\n", "A = np.random.normal( size = ( n, n ) )\n", "c = np.random.normal( size = ( n, ) )\n", "Q = A.T @ A" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.7067247383716804e-12\n" ] } ], "source": [ "x_trouxa = CG_trouxa( Q, c )\n", "print( np.linalg.norm( Q @ x_trouxa - c ) )" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "567162.2504917798\n", "-9.322320693172514e-11\n", "-3.637978807091713e-11\n", "6.194511570356553e-11\n", "-6.0992988437647e-11\n", "8.640199666842818e-12\n", "3.410605131648481e-13\n", "-1.0411227435724868e-11\n", "1.432454155292362e-11\n", "-1.7033130461641122e-10\n", "1.3433751888669576e-09\n", "-6.309859301723009e-09\n", "9.749402352099423e-08\n", "-8.989070456877357e-07\n", "1.335938510038659e-05\n", "-4.683933764360049e-05\n", "0.0015908511347175747\n", "-0.06074612915813926\n", "2.195106281879012\n", "-188.9272471477689\n", "0.9104141898839527\n" ] } ], "source": [ "def CG( Q, c, x = None, niter = None ):\n", " \n", " if x is None:\n", " \n", " x = np.random.normal( size = ( Q.shape[ 0 ], ) )\n", " \n", " if niter is None:\n", " \n", " niter = Q.shape[ 0 ]\n", " \n", " \n", " d_prev = np.zeros( x.shape )\n", " g_prev = np.ones( x.shape )\n", "\n", " d_0 = None\n", " \n", " for k in range( niter ):\n", " \n", " g = Q @ x - c\n", " beta = ( g @ g ) / ( g_prev @ g_prev )\n", " d = -g + beta * d_prev\n", " if d_0 is None:\n", " d_0 = d\n", " \n", " print( d_0 @ ( Q @ d ) )\n", "\n", " Qd = Q @ d\n", " step = ( -g @ d ) / ( d @ Qd )\n", " x = x + step * d\n", " \n", " d_prev = d\n", " g_prev = g\n", " \n", " return x\n", "\n", "n = 20\n", "A = np.random.normal( size = ( n, n ) )\n", "c = np.random.normal( size = ( n, ) )\n", "Q = A.T @ A\n", "x = CG( Q, c )\n", "print( np.linalg.norm( Q @ x - c ) )" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "478443.29309289495\n", "7.275957614183426e-12\n", "-1.2732925824820995e-11\n", "9.549694368615746e-12\n", "2.8194335754960775e-11\n", "-5.2864379540551454e-11\n", "7.344169716816396e-11\n", "-1.3665157894138247e-10\n", "1.7763568394002505e-10\n", "-7.88901388659724e-10\n", "3.320906216686126e-09\n", "-2.1183382159506436e-08\n", "3.1304568892664975e-07\n", "-1.6221073337874259e-06\n", "2.4297673917317297e-05\n", "-0.0002435418600725825\n", "0.004589883819598128\n", "-0.16510360271419122\n", "17.325702083834678\n", "-5864.427478552905\n" ] } ], "source": [ "x = CG( Q, c )" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.4765440108937042\n" ] } ], "source": [ "print( np.linalg.norm( Q @ x - c ) )" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "995609.1631659911\n", "-9.822542779147625e-11\n", "3.639399892563233e-11\n", "-6.320988177321851e-11\n", "7.628386811120436e-11\n", "-1.0163603292312473e-10\n", "2.043378799498896e-10\n", "-1.9995433087061087e-10\n", "3.1297986424760893e-10\n", "-1.957744188985089e-09\n", "5.947063286271259e-09\n", "-4.339666759278771e-08\n", "4.341323318612922e-07\n", "-3.1603045727024437e-06\n", "2.3951646042519315e-05\n", "-0.00012484882419450116\n", "0.01061044485847118\n", "-0.3506525057813302\n", "14.234962855525595\n", "-725.3345275087838\n", "[ 528.1740378 -405.61961245 84.56890246 -403.02331744 210.87056981\n", " 123.34824287 703.06584282 -82.37026562 505.05069992 637.3229651\n", " 48.33013785 1168.86152486 -406.62098613 448.81807809 -352.9767942\n", " -429.029827 -108.25322688 -186.39202275 16.64132094 -315.64859679]\n" ] } ], "source": [ "print( CG_trouxa( Q, c ) - CG( Q, c ) )" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "import ray_tracing_cuda_float\n", "import matplotlib.pyplot as pp" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "radon, radon_t = ray_tracing_cuda_float.make_radon_transp( ( 2048, 2048 ) )" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "img = np.zeros( ( 2048, 2048 ) )\n", "img[ 624 : 1518, 912 : 1950 ] += 1.0\n", "img[ 480 : 900, 506 : 1600 ] += np.pi\n", "\n", "pp.imshow( img )\n", "pp.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consideremos o problema\n", "$$\\large\n", "\\min_{\\vect x\\in \\mathbb R^n} \\quad \\| A\\vect x - \\vect b \\|_2^2 = \\vect x^TA^TA\\vect x - 2\\vect b^T(A\\vect x) + \\vect b^T\\vect b\n", "$$\n", "que é equivalente a \n", "$$\\large\n", "\\min_{\\vect x\\in \\mathbb R^n} \\quad \\vect x^TA^TA\\vect x - 2\\vect b^T(A\\vect x) = \\frac 12\\vect x^TQ\\vect x - \\vect c^T\\vect x\n", "$$\n", "com\n", "$$\\large\n", "Q := 2A^TA\\quad\\text e\\quad \\vect c = 2A^T\\vect b.\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No nosso caso, o vetor $\\vect x \\in \\mathbb R^{4194304}$ pode ser visualizado como uma imagem de $2048 \\times 2048$ pixels e o produto $A\\vect x$ corresponde à transformada \"tomográfica\" de tal imagem. Este produto matriz-vetor está implementado como a função `radon`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = radon( img )\n", "pp.imshow( data )\n", "pp.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pp.imshow( radon_t( data ) )\n", "pp.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def Q_vec( x ):\n", " \n", " return( radon_t( radon( x ) ) )" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def CG_matvec( matvec, c, x, niter ):\n", " \n", " d_prev = np.zeros( x.shape )\n", " g_prev = np.ones( x.shape )\n", "\n", " d_0 = None\n", " \n", " for k in range( niter ):\n", " \n", " g = matvec( x ) - c\n", "\n", " beta = np.sum( g ** 2.0 ) / np.sum( g_prev ** 2.0 )\n", " d = -g + beta * d_prev\n", " if d_0 is None:\n", " d_0 = d\n", " \n", " Qd = matvec( d )\n", " step = -np.sum( g * d ) / np.sum( d * Qd )\n", " x = x + step * d\n", " \n", " d_prev = d\n", " g_prev = g\n", " \n", " return x" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "c = radon_t( data )" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.zeros( img.shape )\n", "x_CG = CG_matvec( Q_vec, c, x, 20 )\n", "pp.figure( figsize = ( 10, 10 ) )\n", "pp.imshow( x_CG ) \n", "pp.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "pp.imsave( 'x_CG.png', x_CG ) " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 2 }