{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Steel model definition, with Dirichlet priors." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/rick/anaconda3/envs/bayesian-mfa-paper/lib/python3.6/site-packages/matplotlib/__init__.py:913: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n", " warnings.warn(self.msg_depr % (key, alt_key))\n" ] } ], "source": [ "from steel_processes import define_processes\n", "processes = define_processes()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import theano\n", "theano.config.mode = 'FAST_RUN'\n", "theano.config.optimizer = 'fast_compile'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maximum values of inputs:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "input_defs = {\n", " 'BF': 5000,\n", " 'DR': 300,\n", " 'SP': 1000,\n", " 'IFC': 300,\n", "}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pickle\n", "from priors import param_defs\n", "from leontief_model import SplitParamModel" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "scrolled": true }, "outputs": [], "source": [ "model1 = SplitParamModel(processes, input_defs, param_defs)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with open('model1.pickle', 'wb') as f:\n", " pickle.dump(model1, f, protocol=pickle.HIGHEST_PROTOCOL)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pymc3 as pm\n", "RANDOM_SEED = 974067 # from random.org" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "with model1.model:\n", " advi1 = pm.variational.advi(n=10000, random_seed=RANDOM_SEED)\n", "np.savez('results/advi1.npz', advi1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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AlASk0+4iEZEEUreRSA+cMaUk0UXokWiJi4hIf6fkRaQH4rm7cScTglo5OqxF\npTekaf0WEenH9A4l0gMnji9MyOumBr2kKSc1yBlTSjh1UnGPr/mt40cRNKjISeGYUbENLhYRSQSN\neRHpgbLs1M6DekHQoDHUEpMSNP7rjAls3VvHtIqsXuv6OWxIDr8+ZzJZqUmdjp/pS+nJAWrrmwAo\nyEhOcGlEpD9Qy4tIgh07pvPdlKtHFzA8P4305AC3nDCa8uxUZlRm9/qYlbz05H6VuAD8x4ljGJaf\nxskTihhTlJHo4ohIP6CWF5EES2tnanT4kJegGT/6+HgONjRFXem2Ly0eW8CKdbsAmFaeFffXG1uU\nwU+WToj764iIfyh5EelFl84bwlMbP+TVrft69bpm3sygRCcuAP96eCXpyUHKs1OYUhb/5EVEJFLc\nuo3M7Gtm9jcz229mu9qJqTKzP4ZitprZrWYWiIg5xsyeN7MDZrbOzD4d5TqXmtlGM6s1s3+Y2ex4\n3ZdIR06dVMysyuyuPamdXpp/O2ZYy/dnTS3tQal6V3ZqEpfMG8Lpk/09TVxE/CueLS/JwAPA08AF\nkSdDScqfgM3AXKACuBeoA64NxQwHHgHuAs4BjgV+amabnXOPhWLOBr4L/CvwLPBlYIWZjXXO7Yjf\n7YmfFGYk43A0NDr2HmyM62tlpHStdaS9ISZHDMvl20tGkZ2aRGVu3wwMFhHxg7i1vDjnbnDO3Q68\n2k7IYmA88Cnn3KvOuRXAvwOXmllzUvV5YINz7mrn3Frn3A+B3+MlKM2+DPzYOXePc24NcDFQQ5SE\nSQavfztmGL/+5GQmlca/m2PJuEKKM3s+K8bMmFmZo0GqIiIREjnbaC7wakTryAogF5gUFvN4xPNW\nAPMAzCwZmAWsbD7pnHOh58yLT7HFr+K15P3HhuUCXksJeLs6//KsiTEPZp1Yktny/akTe75ei4jI\nQJfIAbtlwLaIY9vCzr3cQUyOmaUCBUCwnZhxvVpa8bUuLFbbZdcsGM6rW/YxJSxZSQ4GyE499N+r\nMLQ+yYj8NDbuPtDq+TlpSdx+ylje2lnLwtFaHE5EpDNdankxs5vNrKmDr0YzG9sL5eros8ZijInn\n55V0Q9EAW2AsNbSEflpSgNlVOW2W1A9v6Gn+/huLRrF0ctvWlQklmZw0oahfzCYSEenvutry8h3g\nF53EbIjxWluByFlBpWHnmv+NnGZRAux1ztWZ2Q6gsZ2YyNaYVlatWsUzDz/BgYixmwXTqymcUR3T\nDUjXTKtethTNAAAgAElEQVTIYuX63Ql57UMZb89z2mF5aUwszeS0bizJX5qdwufmDuHx9bvZc6AB\ngKJeGB8jIhIPy5cvZ/ny5a2ONTY2Mnv2bKqrE/dZ2aXkxTm3E9jZS6/9NPA1MysKG/eyCNgDvBEW\nsyTieYtCx3HO1ZvZ88BC4GEA8wY2LATu6OjFq6urea28ms21/Ws1Uen/ZlRmc8m8IT26xq0njOb2\nv77LlPIshuen91LJRER619KlS1m6dGmrYzU1NaxZsyZBJfLEbcyLmVXhjUkZBgTNbFro1Hrn3H7g\n/4DVwL1mdg1QDtwI3Omcqw/F/gi4zMxuAX6Ol5ScAZwQ9lK3AXeHkpjmqdIZwC/jdW/iX13ZqTme\n1xhRkM73T+mNHlYRkcEnnrONvgG8AFwPZIW+fwFvdhDOuSbgJLxun78D9+AlHNc3X8A5twk4EW99\nl5fwEpMLnXOPh8U8AHwl9HovAlOBxc65D+J4bzJAfev4UYkugoiIdCJuLS/Ouc8An+kk5l28BKaj\nmCcJJTwdxNyFt5CdSFSxNpaUZKbEtRwiItJz2lVafOffjhnG+bPKu/XcmV1duj+KOC0XIyIiMVLy\nIr5TPbqA/PSuNRo25xunTCzmpPFFvV8oERHpM0pexJe6O2g2GDC+ML+q/YAYWlVife1PzzzUOvSV\nI4fG9iQREelUIlfYlQEuNy2pZS0ToNWKsz01pSyz86Du6MWlDYfmp3HXaeOobWhicmmcyisiMgip\n5UXipjBiRd3zZpaRm9Y7Ccyw/HSuPnpYzHsB9eZyy10Z8zK6KIMpZVlx21dJRGQwUvIifSY7NYlf\nfWJS54ExOnZMARfM7t7A3XYZVI/S/kIiIv2ZkhfpUylJ/f9X7pJ5Q/h4lP2HRESkf+j/nyTiW/25\np+SwIe1Pmc5JS+Liue0v/98bK+yKiEj3KXmRQSEyj7ryqGEsHlvA5+dWJqQ8IiLSfUpeJK6aB+gW\nZPSviW0FGcl85ahhnD65pN2YzxwWfTxNf25REhEZDPrXJ4oMKAbcccpYntr4IUeNzOuVa960eGSr\nx2lJAcYWZbBuRw1nTyvlty9vi/q87vT0LJ1SQmZKkOLMFG54fANN6i4SEekXlLxIXJXnpHL2tNJe\nu96cqtxWj82M/zhxNBt21jKhNLPd5CVW4Y0qKcEAp8Q4FVtERPqOuo3E99KTg0wqyyJgFvO6L111\nxpRD3Utzh+bE5TVERCQ2anmRAeWSeZWcMrGIx9fv4tcv9awVJtynZpSRFDAKMpKZWankRUQkkdTy\nInGTiIGtZkZVXlqb2UUdFaW5tSY1KUB5TmrUmPTkIP9yWIW6kURE+gG1vEjcWCy7HPaRjsbaXjSn\ngomlmYwvziAp0H/KLCIi0anlRQakaRXtL0IXKTUpwIJR+e22uoiISP+i5EV61aRe3j25vbVWOjOj\nC8mLiIj4i7qNpNfkRewY3ZMxL19dMIyRBenkpiXxi+e2AHDKxKKeFE9ERAYItbxIt9yyZHSbY98/\nZWyv7fszoiCdYfnp5KUnc9tJY7h03hAunF3ROxcXERFfU/IiMbvsCG+zwpEFaUyvyGpzviInleKs\n5JbHxZnJbWJiFd5oM7ksi1MnFZOeHOz29UREZOBQt5HE7JSJxcyszKYkKwVrp0/o4rlDeGXLPpyD\nS+dVden6/3p4Jf/1zPsMzUtjaF5abxRZREQGICUv0iVDcg8lFTccN5LrH9vQ6nxhRjL3fWISAMnB\nzhv2Tp9czKZdB7hgdjljizKYVp7FkNzUdpMjERERJS/SbVPKos8siiVpaXbiuCKG5h9KiMYUZfS4\nXCIiMrBpzIt0W1ZqUsuU5IvnVia4NCIiMlio5UV65OYlo9ixv56SrJRuPd91uPatiIhIW2p5kR4J\nmHU7cREREekOJS8yYH0+1JVVmJHM5LK2U7tFRMSf1G0kA9apk4oZVZhOVV6aNlwUERlAlLzIgBUw\nY2q59jgSERlo1G0kIiIivqLkRRJKc41ERKSrlLyIiIiIryh5EREREV9R8iJtnDC+sM9ey6nfSERE\nukjJi7TxpflDufKooYkuhoiISFRKXiSqrNRgoosgIiISlZIXicpovajbdceOSFBJREREWlPyIlFF\nbpg4f3hegkoiIiLSmpIXERER8RUlL/1UcsCYPzw3Ya8f2W0kIiLSX8QteTGzYWb2UzPbYGY1Zvam\nmS0zs+SIuKlm9pSZ1ZrZ22Z2VZRrnWlmb4RiXjazJVFivmFmm0Ov9ZiZjY7XvfWFw6pyuPqY4d16\nrtIOEREZyOLZ8jIe73P0s8BE4MvAxcA3mwPMLBtYAWwEZgJXAcvM7KKwmHnA/cBPgOnAg8CDZjYx\nLOYa4DLgc8AcYD+wwsxS4nh//dK44gzOmlaa6GKIiIjETdySF+fcCufchc65lc65Tc65R4DvAB8P\nCzsXSAYudM694Zx7ALgDuCIs5ovAo86525xza51z1wMv4CUr4TE3Ouf+4Jx7DTgfqABOi9f99Ucn\nTSjiOyeOSXQxRERE4qqvx7zkAbvCHs8FnnLONYQdWwGMM7PmAR/zgMcjrrMidBwzGwmUASubTzrn\n9gLPNMf4lYth+dlp5VmcNbWEc2eUcdkRQ0hNCjClLLMPSiciIpIYSX31QqExKJfRulWlDNgQEbot\n7Nye0L/bosSUhb4vxducuKOYASspYFw0p7LVsdlDchJUmtgMyU3lvT0HASjMSO4kWkREpLUuJy9m\ndjNwTQchDpjgnFsX9pxK4FHgt865n3f2EqGvjpodOjvfacyqVat45uEnONDY+njB9GoKZ1R3cun+\nzaznQ3anV2QRMGhy8JnDynuhVIfctHgU97+4lVlDsslJ67P8WUREumj58uUsX7681bHGxkZmz55N\ndXXiPiu788nxHeAXncS0tKaYWQWwCvirc+5zEXFb8VpOwpXQuiWlvZjw8xaK2RYR82J7Bayurua1\n8mo212puTjTpyUF+dsYENu0+wOFDe3fKdkVOKlcePaxXrykiIr1v6dKlLF26tNWxmpoa1qxZk6AS\nebqcvDjndgI7Y4kNtbisAv4JXBAl5GngJjMLOuea20AWAWudc3vCYhbiDeRtdlzoOM65jWa2NRTz\nSuh1c4DDgR924db6nd5oQemJytw0KnPTEloGERGRSPFc56Uc+DPwDnA1UGJmpWYW3opyP1AH/NzM\nJprZ2cAXgO+GxdwOLDGzK8xsnJktA2YBd4bFfB+41sxONrMpwD3Ae8BD8bm7vhHLgN1YHDYku1eu\nIyIi0h/Ec8DBImBk6Ovd0LHmcShB8GYFmdlivETkOWAHsMw597PmizjnnjazT+KtD/NN4E3gVOfc\n6rCYW80sA/gx3oymvwBLnHN1cby/fiGW9OYrRw3jh39/l7z0ZB55Y0fcyyQiIhJPcUtenHN3A3fH\nEPcqcHQnMcuB5Z3ELAOWxV7CwaMwI5nrjh3J/rpGJS8iIuJ72tsowZaMK+zR83upZ6nFglH5vXtB\nERGRXqbkJcGO72Hy0p7qUBIyoyK28S5jitK58qihfOFjVXEpj4iISG/RIhsJNqEkk68uGMbNT7zd\nq9f98pFDqR6dz+TSrJZjHQ0ALs9OZdHY+CRSIiIivUktL/3AglEFPXh29IQkNSnAnKpcMlKCPbi2\niIhI/6PkZRDpaN0YLdUnIiJ+oeTF92JPO3pr3RgREZFEUvLie0pIRERkcFHyIh71G4mIiE8oefG5\nXmt3UQOOiIj4hJKXQSwtST9+ERHxH316+UhSoGd9O5GNKxkpYT9+dRuJiIhPKHnxkZ+eMYFvHT+K\n4flpLcc0gUhERAYbJS/9VFaUxeUqclI5bEgOgQ7Wa+mIGldERGQgUPLST501taTXW1XaXE6tNiIi\n4kNKXvqp9OS+XdZfrTIiIuIXSl76sW72DrWrpwN+RURE+gMlL4NIenKQkycUkZEc4GsLhnPa5OKW\nc0ePzE9cwURERLogKdEFkK7rSYvM5R+r4pJ5QwgGjLrGJpqaICMlyBHDcnuvgCIiInGk5KUfi9c0\n6GCo+yglGOCcGWXxeREREZE4UbeRz2mdFxERGWyUvPSxsuyUHl9Dw25FRGQwU/IS4TOHlcf1+vec\nPSnq8YtmV3Tremp4ERGRwUbJS4SqvLTOg+LgrGmlCXldERERv1Hy0o8lB9VBJCIiEknJSz+WHAxw\n9dHDOLwqhztPG9dy/LRJh9ZnOWlCUSKKJiIikjCaKt1NC0bl88Rbu+P+OseOKeDYMQWtji0cXUBt\nfRNmcPTIvLiXQUREpD9R8tJNC0f3TfISTTBgnBrW+iIiIjKYqNuomwK9vfGQiIiIxETJi4iIiPiK\nkhcRERHxFSUvfej0ybGPU0kOqFtKREQkGiUvfeDiuZWcOaWET8/sePXery4YRnLQWDAqn/yM5D4q\nnYiIiL9otlE35aTGXnUfn1wSU9yCUQV8bFgeKUnKKUVERNqjT8koLp5b2WnM2OKMuLy2EhcREZGO\n6ZMyilMnFnPdsSNIUyIhIiLS7+jTOYpgwJg/PI8RBYnZpFFERETap+RFREREfEXJi4iIiPiKkhcR\nERHxFSUvIiIi4itKXkRERMRX4pq8mNlDZva2mdWa2WYzu8fMyiNipprZU6GYt83sqijXOdPM3gjF\nvGxmS6LEfCP0GjVm9piZjY7nvUWzZFxhm2PnzSzr62KIiIgMaPFueVkFnAmMBT4OjAJ+13zSzLKB\nFcBGYCZwFbDMzC4Ki5kH3A/8BJgOPAg8aGYTw2KuAS4DPgfMAfYDK8wsJZ43F2lqeVarx9dWD+ec\n6UpeREREelNctwdwzt0e9vBdM/s28D9mFnTONQLnAsnAhc65BuANM5sBXAH8NPS8LwKPOuduCz2+\n3swW4SUrl4TF3Oic+wOAmZ0PbANOAx6I3x12bHpFNkFtsCgiItKr+mzMi5kVAJ8C/hZKXADmAk+F\nEpdmK4BxZpYbejwPeDzicitCxzGzkUAZsLL5pHNuL/BMc4yIiIgMHHFPXszs22a2D9gBVOG1hjQr\nw2shCbct7FxHMc3nSwHXSYyIiIgMEF3uNjKzm4FrOghxwATn3LrQ41vxuoCGAdcD9wIndfQSoS/X\nSUxH5zuNWbVqFc88/AQHGlsff7LhbOZffH4nlxYRERn4li9fzvLly1sda2xsZPbs2VRXVyeoVN0b\n8/Id4BedxGxo/sY5twvYBaw3szV4Y18Od849A2zFazkJV0LrlpT2YsLPWyhmW0TMi+0VsLq6mtfK\nq9lc23pMytHHjujk1kRERAaHpUuXsnTp0lbHampqWLNmTYJK5Oly8uKc2wns7ObrBUP/pob+fRq4\nKWwAL8AiYK1zbk9YzELgjrDrHBc6jnNuo5ltDcW8AmBmOcDhwA+7WU4RERHpp+I25sXMZpvZpWY2\nzcyGmlk13pTnNwklHqHHdcDPzWyimZ0NfAH4btilbgeWmNkVZjbOzJYBs4A7w2K+D1xrZieb2RTg\nHuA94KF43Z+IiIgkRjynStfire2yDMgEtgCPAt90ztWDNyvIzBbjJSLP4Q3qXeac+1nzRZxzT5vZ\nJ4Fvhr7eBE51zq0Oi7nVzDKAHwN5wF+AJc65ujjeXxuVOamdB4mIiEiPxC15cc69hteV01ncq8DR\nncQsB5Z3ErMML1HqkYzk7jVGTSvPYnxJZk9fXkRERDqhvY3CTCjJYEZFdreee8Hsil4ujYiIiESj\n5CXMbSeNxUwr4oqIiPRnSl7CKG8RERHp/5S8iIiIiK8oeRERERFfUfISRr1GIiIi/Z+SFxEREfEV\nJS8iIiLiK0peRERExFeUvHTD/OG5iS6CiIjIoBXPvY0GlAklGcwfnse7Hx7kgtnliS6OiIjIoKXk\npQvOnFqa6CKIiIgMeuo26sCwvPSW74fmpSWwJCIiItJMLS8duGhOBWs/2A/AZ+dUJrg0IiIiAkpe\nOpSTlsSPPj4eoNMNG1OCWuJORESkL6jbqBNm1m7icu3C4SQFjGnlWYwsSI8aIyIiIr1LLS9hOmtd\niXTUiHxmVeaQkRzo8nNFRESke5S89FBmSjDRRRARERlU1G0kIiIivqLkRURERHxFyYuIiIj4ipIX\nERER8RUlLyIiIuIrSl5ERETEV5S8iIiIiK8oeRERERFfUfIiIiIivqLkRURERHxFyYuIiIj4ipIX\nERER8RUlLyIiIuIrSl5ERETEV5S8iIiIiK8kJboAg9FNi0fyu1e2c+rE4kQXRURExHeUvCTAnKpc\n5lTlJroYIiIivqRuIxEREfEVJS8iIiLiK0peRERExFeUvISkJqkqRERE/GDQD9j90vwqmhzMrMzu\nlevNH57HXzd9iAGZKcFeuaaIiIgc0ifNDWaWYmYvmVmTmU2NODfVzJ4ys1oze9vMrory/DPN7I1Q\nzMtmtiRKzDfMbLOZ1ZjZY2Y2Opay5aQmcdKEIipyUrt/g2GuOLKKL82v4mdnTiAYsF65poiIiBzS\nV30ltwLvAS78oJllAyuAjcBM4CpgmZldFBYzD7gf+AkwHXgQeNDMJobFXANcBnwOmAPsB1aYWUqn\nJevl/CIrNYkTxhcxJDetdy8sIiIiQB8kL6FWkuOAK2mbKpwLJAMXOufecM49ANwBXBEW80XgUefc\nbc65tc6564EX8JKV8JgbnXN/cM69BpwPVACnxeWmREREJGHimryYWSnwX3hJSm2UkLnAU865hrBj\nK4BxZta8its84PGI560IHcfMRgJlwMrmk865vcAzzTEiIiIycMS75eUXwF3OuRfbOV8GbIs4ti3s\nXEcxzedL8bqjOooRERGRAaLLyYuZ3RwaeNveV6OZjTWzLwDZwC3NT431JUJfrpOYjs7HGhNLhIiI\niPQj3Zkq/R28FpWObAQW4HULHTRrlbc8Z2a/cs59BtiK13ISroTWLSntxYSft1DMtoiY9lp8WLVq\nFc88/ARbf5dBQUZyy/GlS5eydOnSTm5PRERk4Fu+fDnLly9vdayxsZHZs2dTXV2doFJ1I3lxzu0E\ndnYWZ2aXA18PO1SBN1blLODZ0LGngZvMLOicawwdWwSsdc7tCYtZiDeQt9lxoeM45zaa2dZQzCuh\n184BDgd+2F75qqurea28mouOGMn8EXmd3Y6IiMigE+0P+pqaGtasWZOgEnnitkidc+698Mdmth+v\nhWSDc25z6PD9wHXAz83sFmAK8AW82UPNbgeeNLMrgD8CnwRmAZ8Ni/k+cK2ZrQc2ATfiTc1+qJdv\nS0RERBKsr1fYbTXCxDm318wWA3cCzwE7gGXOuZ+FxTxtZp8Evhn6ehM41Tm3OizmVjPLAH4M5AF/\nAZY45+rifUMiIiLSt/oseXHOvQ20WS/fOfcqcHQnz10OLO8kZhmwrPslFBERET/QboRawV9ERMRX\nlLyIiIiIryh5EREREV9R8iIiIiK+ouRFREREfEXJi4iIiPiKkhcRERHxFSUvIiIi4itKXkRERMRX\nBn3yUpKVkugiiIiISBcM6uRlweh8xhZlJLoYIiIi0gWDOnk5c0ppoosgIiIiXTSokxcRERHxHyUv\nIiIi4itKXkRERMRXlLyIiIiIryh5EREREV9R8iIiIiK+ouRFREREfEXJi4iIiPiKkhcRERHxFSUv\nIiIi4itKXkRERMRXlLyIiIiIryh5EREREV9R8iIiIiK+ouRFREREfEXJi4iIiPiKkhcRERHxFSUv\nIiIi4itKXkRERMRXlLyIiIiIryh5EREREV9R8iIiIiK+ouRFREREfEXJi4iIiPiKkhcRERHxFSUv\nIiIi4itKXkRERMRXlLyIiIiIrwza5GXVqlWJLsKgs3z58kQXYdBRnfc91XnfU533vUR/hsY1eTGz\nTWbWFPbVaGZXR8RMNbOnzKzWzN42s6uiXOdMM3sjFPOymS2JEvMNM9tsZjVm9piZje6obE888UTP\nb1C6RG8wfU913vdU531Pdd73Ev0ZGu+WFwdcC5QCZUA58IPmk2aWDawANgIzgauAZWZ2UVjMPOB+\n4CfAdOBB4EEzmxgWcw1wGfA5YA6wH1hhZinxvDkRERHpe33RbbTPOfeBc2576Ks27Ny5QDJwoXPu\nDefcA8AdwBVhMV8EHnXO3eacW+ucux54AS9ZCY+50Tn3B+fca8D5QAVwWjxvTERERPpeXyQv/2Zm\nO8zsBTO70syCYefmAk855xrCjq0AxplZbujxPODxiGuuCB3HzEbiteqsbD7pnNsLPNMcIyIiIgNH\nUpyvfzteK8ku4Ajg23iJxpWh82XAhojnbAs7tyf077YoMWWh70vxuqc6iomUBnDgwIEYb0N6Q2Nj\nIzU1NYkuxqCiOu97qvO+pzrvW2GfnWmJKkOXkxczuxm4poMQB0xwzq1zzn0/7PhrZlYP/MjMvuqc\nq2/vJUJfrqNidHK+s5jhJSUlnHfeeW1OLFiwgOrq6k4uLd0xe/Zs1qxZk+hiDCqq876nOu97qvP4\nWbVqVdTBuSUlJQDDgb/3cZEAMOc6ywEinmBWCBR2ErYhoiuo+bkTgVeB8c65N83sbiDbOffxsJhj\n8LqACpxze8zsbeC7zrk7wmKWAac652aY2QjgLWC6c+6VsJg/Ay86574cWY6VK1cWAouBTYCaX0RE\nRGKXhpe4rFi4cOHORBSgyy0vzrmdQHcLOwNoAraHHj8N3GRmQedcY+jYImCtc25PWMxCvIG8zY4L\nHcc5t9HMtoZiXgEwsxzgcOCH0QoRquz7u3kPIiIig11CWlyaxW3Mi5nNxUsgngA+whvzchtwb1hi\ncj9wHfBzM7sFmAJ8AW/2ULPbgSfN7Argj8AngVnAZ8Nivg9ca2br8VpTbgTeAx6Ky82JiIhIwnS5\n2yjmC5vNAO4CxgGpeGu53AN8L3y8i5lNAe4EZgM7gDucc9+JuNZS4JvAMOBN4Crn3IqImGXAvwJ5\nwF+AS51z6+NycyIiIpIwcUteREREROJh0O5tJCIiIv6k5EVERER8ZVAmL2Z2qZltDG30+A8zm53o\nMvmBmX3VzJ41s71mts3M/sfMxkbEpJrZD0OrKn9kZr83s5KImCoz+6OZ7TezrWZ2q5kFImKOMbPn\nzeyAma0zs0/3xT32Z6H6bzKz28KOqb7jwMwqzOzeUL3WhDaEnRkR0+FmsGaWb2a/MrM9ZrbbzH5q\nZpkRMZ1uTDsYmFnAzG40sw2h+lxvZtdGiVOdd5OZHWlmD5vZ+6H3kVOixPRJ/VoMmy13yjk3qL6A\ns/HWdjkfGA/8GG8F4KJEl62/fwF/As4DJuDNDHsEb3ZXeljMf4aOHY03Nf7vwF/Czgfw1vpZEbrG\nYryp8zeFxQwH9gG34g34vhSoB45LdB0ksO5n461G/SJwm+o7rnWdhzfB4Kd4MxuHAccCI8Jirgm9\nb5wMTMbbMPYtICUs5lG8FcYPw5ttuQ64L+x8NrAFuDv0f+osvE1lL0p0HSSgzr8W+r08HhgKfBzY\nC1ymOu+1Oj4e+Abenn+NwCkR5/ukfvG27anH28NwHHADcBCY2KX7SXSFJuAH+A/g9rDHhjet+upE\nl81vX0AR3ro980OPc0K/hKeHxYwLxcwJPV4S+sUtCov5HLAbSAo9vgV4JeK1fg38KdH3nKB6zgLW\nAtV4Sw/cpvqOa31/G3iyk5jNwJfDHucAtcBZoccTQj+HGWExi4EGoCz0+PN4MyyTwmJuBlYnug4S\nUOd/AH4Scez3wD2q87jUdxNtk5c+qV/gN8DDEa/9NHBXV+5hUHUbmVky3l9S4Zs4OryNH7WJY9fl\n4W3BsCv0eBbe2kHh9bsWeIdD9TsXeNU5tyPsOiuAXGBSWEy7m3EOQj8E/uCcWxVx/DBU3/FwMvCc\nmT0Q6h59wcwuaj5p3qrenW0GOxfY7Zx7Mey6j+P9fzk8LKazjWkHi78DC81sDICZTQM+htfaqzqP\nsz6u3w43W47VoEpe8FoKgnRtE0eJwswMb3HAvzrnVocOlwF1oV/6cOH1295Gm8QQk2NmqT0tu5+Y\n2SeA6cBXo5wuRfUdDyPx/oJci7fi94+AO8zs3ND5MjrfDLaMQyuJA+C8VcR30bWfzWDxbeC3wBoz\nqwOeB77vnPtN6LzqPL76sn4722w5JvHeVdovYtnoUVq7C5gIzI8hNtb67Wwzzs5iBhQzG4KXIB7n\n2t/INOpTUX33RAB41jn376HHL5vZJLyE5r4OntfTDWObzxPDdQaas4FzgE8Aq/ES9tvNbLNz7t4O\nnqc6j6/eqt/e2Gy5lcHW8rIDb6BSacTxEtpmgtIOM7sTOAE4xjm3OezUViDFvL2lwoXX71ba1n9p\n2Ln2YkqAvc65up6U3WdmAcXA82ZWb96u7EcDXwz9dboNSFV997otwBsRx97AG0gKXn0ZHb+PbA09\nbmFmQSCfzusdBt/70a3Azc653znnXnfO/Qr4HodaHFXn8RXv+g1v1Wkvpkv1P6iSl9Bfr8/jbeII\ntHR/LCTBm0z5RShxORVY4Jx7J+L083iDt8Lrdyzem35z/T4NTDGzorDnLQL2cOgD4+nwa4TFPN0b\n9+Ajj+PNEJoOTAt9PYf313/z9/Wovnvb3/AGPocbB7wN3maweG/A4fXevBlseL3nmbdNSrOFeB8Q\nz4bFHBX6AGgWuTHtYJFB27+8mwh9RqnO46uP6zfa+03LZstdKfSg+sKbulVL66nSO4HiRJetv3/h\ndRXtBo7Ey5ybv9IiYjYCx+C1HPyNtlN3X8abcjcVb7T6NuDGsJjheFN3b8H70LgEqAOOTXQdJPqL\nsNlGqu+41fFheLO4vgqMwuvO+Aj4RFjM1aH3jZPxEswH8fZdC59W+ie8BHM23uDTtXgb0zafz8Gb\n4XE3Xhfs2aGfw4WJroME1Pkv8Aaan4A3Nf10vPEV31Kd91odZ+L90TMdLzH8UuhxVV/WL97A3DoO\nTZVehrd8iaZKx/BDvARvbYxavGzvsESXyQ9foV/4xihf54fFpAI/wOui+wj4HVAScZ0qvDVi9uF9\nkEqgjdsAAADWSURBVN4CBCJijsZryakN/Qc6L9H33x++gFW0Tl5U3/Gp5xOAV4Aa4HXggigxy0Jv\n1DV4syVGR5zPw2sl24OX9P8EyIiImQI8GbrGO8CVib73BNV3JnAbXiK+P/Q7eANhU25V5z2u46Pb\neQ//eV/XL7AUWBN6v3kFWNzV+9HGjCIiIuIrg2rMi4iIiPifkhcRERHxFSUvIiIi4itKXkRERMRX\nlLyIiIiIryh5EREREV9R8iIiIiK+ouRFREREfEXJi4iIiPiKkhcRERHxFSUvIiIi4iv/Dx4PCVZe\nrPOLAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(advi1.elbo_vals[0:]);" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def sample(model, advi, trace=None, num_samples=2000):\n", " step = pm.NUTS(scaling=model.dict_to_array(advi.stds)**2, is_cov=True)\n", " trace = pm.sample(num_samples, start=advi.means, step=step, trace=trace)\n", " return trace" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with model1.model:\n", " trace1 = sample(model1.model, advi1, trace=pm.backends.Text('case_study_global_steel/trace1'))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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chrQXxq+0D+MPR+keCTF/Rh3RmLKvL0B/IEww4hzH2UfMZkbdxIvebMQyN2FT+wg9vhCL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8lKm6iqN2bTZ3YQcS2yjktEuopB4x4ZplcGiYbCUPacIm51k3JLA1GWVRp875VNxOjljHkUgIh0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p2EMkO+r29pasYLU0KINyjyKEgpd0yyOUWjPE8UE43PW8NHd32Wezf/Z3744lc4cGovAEPm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\namJvG56YGs4zsJgmIQNc6SxRYJQZXt24/iKKD1Ye5bPXN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace1, varnames=['inputs', 'param_OBF', 'param_OBFS']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Add observations" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "observations1 = [\n", " (['BF'], ['PI'], 928.4, 50), # worldsteel: Table 41 - total pig iron\n", " (['DR'], ['DRI'], 65.8, 6), # worldsteel: Table 42 - total DRI\n", " \n", " (['EAF'], ['EAFS'], 407.0, 40), # worldsteel: Table 6 - EAF crude steel production\n", " (['OBF'], ['OBFS'], 891.7, 80), # worldsteel: Table 6 - OBC crude steel production\n", " (['OHF'], ['OHFS'], 29.3, 3), # worldsteel: Table 6 - OHF + other crude steel production\n", " \n", " # SEM output, from worldsteel\n", " (['SEMP'], ['seclight'], 44.4, 2), # Cullen flow [105]: worldsteel table 16\n", " (['SEMP'], ['secheavy'], 39.6, 2), # Cullen flow [106]: worldsteel table 15\n", " (['SEMP'], ['secrail'], 10.0, 1), # Cullen flow [107]: worldsteel table 14\n", " \n", " # RBM output, from worldsteel\n", " (['STP'], ['seamlesstube'], 27.2, 2), # Cullen flow [85]: worldsteel table 25\n", " (['RBMP'], ['rodrebar'], 147.0, 15), # Cullen flow [108]: worldsteel table 17 (he added extra 26.6 to make it add up)\n", " (['RBMP'], ['rodwire'], 148.5, 15), # Cullen flow [109]: worldsteel table 19\n", " (['RBMP'], ['rodbar'], 109.7, 11), # Cullen flow [110]: worldsteel table 18\n", " \n", " # PLM output, from worldsteel & others\n", " (['TWP'], ['weldedtube'], 44.5, 4), # Cullen flow [89]: worldsteel table 26. (he solved as 62.4 to make \"apparent consumption\" match)\n", " (['PLMP'], ['plate'], 110.0, 11), # Cullen flow [111]: SBB value (ref 14, p4)\n", " \n", " # HSM output, from worldsteel & SBB\n", " (['CRMP'], ['elsheet'], 10.3, 2), # Cullen flow [112]: worldsteel table 20\n", " (['CRMP'], ['crc'], 135.0, 13), # Cullen flow [113]: SBB (ref 14, p4)\n", " (['GPP_CR'], ['crcgalv'], 96.4, 9), # Cullen flow [114]: worldsteel table 22 (assumed all CRC)\n", " (['HSMP'], ['hrc'], 150.0, 15), # Cullen flow [115]: SBB (ref 14, p4)\n", " (['HSMP'], ['hrns'], 40.0, 4), # Cullen flow [116]: SBB (ref 14, p4)\n", " (['GP_HR'], ['hrcgalv'], 10.0, 2), # Cullen flow [97]: SBB (ref 14, p4)\n", " (['TM'], ['crctinned'], 11.6, 2), # Cullen flow [100]: worldsteel table 21 (all tinmill)\n", " (['OCP'], ['crccoated'], 16.5, 2), # Cullen flow [103]: worldsteel table 23 (all non-metalic coated)\n", "]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "model2 = SplitParamModel(processes, input_defs, param_defs, flow_observations=observations1)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with open('model2.pickle', 'wb') as f:\n", " pickle.dump(model2, f, protocol=pickle.HIGHEST_PROTOCOL)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0 [0%]: ELBO = -9943.01\n", "Iteration 1000 [10%]: Average ELBO = -38691.52\n", "Iteration 2000 [20%]: Average ELBO = -17266.05\n", "Iteration 3000 [30%]: Average ELBO = -8393.54\n", "Iteration 4000 [40%]: Average ELBO = -4263.99\n", "Iteration 5000 [50%]: Average ELBO = -2281.89\n", "Iteration 6000 [60%]: Average ELBO = -1223.61\n", "Iteration 7000 [70%]: Average ELBO = -903.54\n", "Iteration 8000 [80%]: Average ELBO = -670.74\n", "Iteration 9000 [90%]: Average ELBO = -566.42\n", "Finished [100%]: Average ELBO = -481.78\n" ] } ], "source": [ "with model2.model:\n", " advi2 = pm.variational.advi(n=10000)\n", "np.savez('case_study_global_steel/advi2.npz', advi2) " ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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9tS9u9ZYsd0JERETUBa5TTZHL6x/o4+wURFKJBLHhKqNtBsWzBcPGtii1TdXr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\nkqTZD/bVgN63X6ul4RoKCgqQ03lri/uNGwP99i/027/Qb//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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(advi2.elbo_vals[0:]);" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\n", " 0%| | 0/500 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace2, varnames=['inputs', 'param_OBF', 'param_OBFS', 'Fobs']);" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Next data points to add:\n", "- Cullen flow [57]: cast iron product. 54 - scrap. 55 - pig iron. 56 - other scrap. 59 - loop\n", "- scrap steel input [53] should be 17% of inputs, from considering the dilution. need another observation type?\n", "- pig iron to casting is [5] - [12] - [16] - [20], ie. [bf output] - [EAF, OBF, OHF use]\n", "- pig iron to EAF is observed [12]\n", "- pig iron to OBF [16] comes from yield and scrap input. Scrap is what's left from [10]-[13]-[54].\n", "- pig iron to OHF [20] is well defined since there's no scrap input\n", "- scrap to OBF is [scrap prepared]-[scrap to EAF: observed]-[scrap to casting: from concentrations]\n", "- scrap prepared [10] is given by forming scrap [8] and observed other input. Until I include fabrication scrap, this needs to be an input observation?\n", "\n", "Summary:\n", "- add pig iron to EAF observation [12]\n", "- add scrap input observation [10]\n", "- add cast iron production [57]\n", "- add cast iron scrap input fraction = 17%\n", "- add steel casting production [51]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "observations2 = observations1 + [\n", " (['PI'], ['EAF'], 44.6, 4), # Cullen flow [12] (ref 2)\n", " (['SPC'], ['caststeel'], 10.5, 2), # Cullen flow [51], from ref (11)\n", " (['IFC'], ['castiron'], 68.3, 6), # Cullen flow [57], from ref (11)\n", "]\n", "\n", "input_observations = [\n", " (['SP'], 475.5, 40), # Cullen flow [10]; change if fabrication scrap is added\n", "]\n", "\n", "inflow_fraction_observations = [\n", " (['S'], ['IFC'], 0.17, 0.03), # Cullen flow [54] -- scrap is 17%.\n", " # Should be relative to cast iron output, not process throughput.\n", "]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "model3 = SplitParamModel(processes, input_defs, param_defs,\n", " flow_observations=observations2,\n", " input_observations=input_observations,\n", " inflow_observations=inflow_fraction_observations)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with open('model3.pickle', 'wb') as f:\n", " pickle.dump(model3, f, protocol=pickle.HIGHEST_PROTOCOL)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0 [0%]: ELBO = -34424.14\n", "Iteration 1000 [10%]: Average ELBO = -85841.01\n", "Iteration 2000 [20%]: Average ELBO = -45837.1\n", "Iteration 3000 [30%]: Average ELBO = -20539.96\n", "Iteration 4000 [40%]: Average ELBO = -9743.25\n", "Iteration 5000 [50%]: Average ELBO = -5146.05\n", "Iteration 6000 [60%]: Average ELBO = -2764.31\n", "Iteration 7000 [70%]: Average ELBO = -1708.03\n", "Iteration 8000 [80%]: Average ELBO = -1210.84\n", "Iteration 9000 [90%]: Average ELBO = -885.6\n", "Finished [100%]: Average ELBO = -678.17\n" ] } ], "source": [ "with model3.model:\n", " advi3 = pm.variational.advi(n=10000)\n", "np.savez('case_study_global_steel/advi3.npz', advi3)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": 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3bdq0qck+o0aN0p/+9Kcm+8ydO1dz585ttD0kJEQ//OEP9cMf/rBNtQDu8td6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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(advi3.elbo_vals[0:]);" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 500/500 [32:26<00:00, 2.20s/it]\n" ] } ], "source": [ "with model3.model:\n", " trace3 = sample(model3.model, advi3, trace=pm.backends.Text('case_study_global_steel/trace3'), num_samples=500)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "pm.traceplot(trace3, varnames=['inputs', 'param_OBF', 'param_OBFS', 'Fobs']);" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }