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MultiLayerPerceptron/mlp.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'u': {'vector': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'count': 55, 'index': 11}, 'i': {'vector': [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], 'count': 75, 'index': 4}, 't': {'vector': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], 'count': 64, 'index': 10}, 'd': {'vector': [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'count': 45, 'index': 2}, 'l': {'vector': [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'count': 64, 'index': 5}, 'o': {'vector': [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], 'count': 39, 'index': 7}, 'c': {'vector': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'count': 30, 'index': 1}, 'e': {'vector': [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'count': 117, 'index': 3}, 'a': {'vector': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'count': 36, 'index': 0}, 'n': {'vector': [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], 'count': 75, 'index': 6}, 'r': {'vector': [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], 'count': 42, 'index': 8}, 's': {'vector': [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], 'count': 40, 'index': 9}}\n",
"12\n",
"1\n",
"number of batches=1\n",
"size of first batch=815,815\n",
"size of last batch=815,815\n",
"300 31\n"
]
}
],
"source": [
"from letters import LettersData\n",
"letters_data = LettersData(\"data/\", \"list_expected_data.txt\")\n",
"letters_data.process()\n",
"#x,y = data.get_data()\n",
"#classes = data.get_classes()\n",
"#ysize = data.get_class_element_size()\n",
"#xsize = data.get_input_image_size()\n",
"#print(len(classes))\n",
"#print(len(classes['P']))\n",
"#print(xsize,ysize)\n",
"#print(len(x))\n",
"#print(len(y))\n",
"#print(y[5])\n",
"#print(data.get_vocab())\n",
"v=letters_data.get_vocab_with_min_count(30)\n",
"print(v)\n",
"print(len(v))\n",
"batch = letters_data.get_batches()\n",
"print(len(batch))\n",
"batch = letters_data.get_batches()#min_count=40, mini_batch_size=577)\n",
"print(\"number of batches={}\".format(len(batch)))\n",
"print(\"size of first batch={},{}\".format(len(batch[0][0]),len(batch[0][1])))\n",
"print(\"size of last batch={},{}\".format(len(batch[-1][0]),len(batch[-1][1])))\n",
"xsize = len(batch[0][0][0])\n",
"ysize = len(batch[0][1][0])\n",
"print(xsize, ysize)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# BATCH LOAD AND SAVE FUNCTIONS\n",
"\n",
"def save_batch(filename, data):\n",
" with open(filename, \"w\") as f:\n",
" f.write(str(data))\n",
" print(\"ok\")\n",
"\n",
"def load_batch(filename):\n",
" batch = None\n",
" with open(filename) as f:\n",
" sbatch = f.read()\n",
" batch = eval(sbatch, {\"__builtins__\":None})\n",
" return batch\n"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ok\n",
"batch-2018-01-20_21:54:09\n"
]
}
],
"source": [
"# SAVE BATCH\n",
"import datetime\n",
"\n",
"tm = str(datetime.datetime.now()).replace(\" \", \"_\").split(\".\")[0]\n",
"name = \"batch-\" + tm\n",
"save_batch(name, batch)\n",
"print(name)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"300 31\n"
]
}
],
"source": [
"# LOAD BATCH\n",
"\n",
"batch = load_batch(\"batch-2018-01-20_21:41:29\")\n",
"xsize = len(batch[0][0][0])\n",
"ysize = len(batch[0][1][0])\n",
"print(xsize, ysize)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[0 2 4 6 9]\n",
" [1 3 5 7 8]]\n",
"[[0 0 0 0 1]\n",
" [1 1 1 1 0]]\n",
"35\n",
"[[11 2 13 4]\n",
" [ 5 6 7 8]]\n",
"[[1 0 1 0]\n",
" [0 1 0 1]]\n",
"18\n",
"1\n"
]
}
],
"source": [
"import numpy as np\n",
"\n",
"def output_to_hard(output):\n",
" m = output.shape[1]\n",
" hard = np.zeros_like(output)\n",
" hard[output.argmax(0), np.arange(m)] = 1\n",
" return hard\n",
"\n",
"\n",
"def count_errors(output, expected_output):\n",
" \"\"\"Count the number of patterns different assuming dimension (n, m)\n",
" having m patterns of size n\n",
" \"\"\"\n",
" # check differences\n",
" err = np.equal(output,expected_output)\n",
" # invert such as true means not equal\n",
" ierr = np.invert(err)\n",
" # count number of bad values for each column\n",
" nb = np.count_nonzero(ierr, axis=0)\n",
" # count number of errors\n",
" nb_err = np.count_nonzero(nb)\n",
" return nb_err\n",
" \n",
"\n",
"def range_weighted_sum(vec):\n",
" rng = np.arange(1, vec.size+1, 1).reshape(vec.shape)\n",
" return np.sum(vec * rng)\n",
" \n",
" \n",
"a = np.array([[0, 1], [2, 3], [4, 5], [6, 7], [9, 8]]).T\n",
"print(a)\n",
"ah = output_to_hard(a)\n",
"print(ah)\n",
"print(range_weighted_sum(ah))\n",
"a = np.array([[11,2,13,4],[5,6,7,8]])\n",
"print(a)\n",
"b = np.array([[1, 0, 1, 0], [1, 1, 0, 1]])\n",
"h = output_to_hard(a)\n",
"print(h)\n",
"print(range_weighted_sum(h))\n",
"\n",
"print(count_errors(h, b))\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0. 3.]\n",
"False\n",
"True\n"
]
}
],
"source": [
"def all_axis_equal(n, axis=0):\n",
" \"\"\"\n",
" :param axis: if 0 check that all columns are equal, if 1 chech rows\n",
" \"\"\"\n",
" if axis == 0:\n",
" res = np.std(n, axis=1)\n",
" else:\n",
" res = np.std(n)\n",
" res = np.sum(res)\n",
" return res == 0.\n",
"\n",
"\n",
"def axis_equal(n, axis=0):\n",
" \"\"\"\n",
" :param axis: if 0 check that all columns are equal, if 1 chech rows\n",
" \"\"\"\n",
" if axis == 0:\n",
" res = np.std(n, axis=1)\n",
" else:\n",
" res = np.std(n)\n",
" return res\n",
"\n",
"\n",
"a=np.array([[1,-2,3,4],[5,6,-7,8]])\n",
"all_axis_equal(a)\n",
"a=np.array([[1,-2,3,4],[1,6,-7,8]])\n",
"all_axis_equal(a) \n",
"\n",
"a = np.array([[-1., -1.], [-3., 3]])\n",
"print(np.std(a,axis=1))\n",
"\n",
"b=np.array([[-2,-2,-2],[5,6,-7]])\n",
"print(all_axis_equal(b))\n",
"b=np.array([[-2,-2,-2],[5,5,5]])\n",
"print(all_axis_equal(b))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n"
]
}
],
"source": [
"# CREATE MLP\n",
"\n",
"from mlp import MultiLayerPerceptron\n",
"import numpy as np\n",
"\n",
"xsize = len(batch[0][0][0])\n",
"ysize = len(batch[0][1][0])\n",
"print(batch[0][1][0])\n",
"m = len(batch[0][0])\n",
"\n",
"# create MLP architecture\n",
"mlp = MultiLayerPerceptron(L=5, n=[xsize, 1800, 600, 300, 30, ysize], g=[\"tanh\"]*4 + [\"softmax\"], alpha=0.001, set_random_w=False)\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"815\n"
]
}
],
"source": [
"# PREPARE INPUTS\n",
"\n",
"X, Y = np.array(batch[0][0]), np.array(batch[0][1])\n",
"m = len(batch[0][0])\n",
"print(m)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# FEED NETWORK with inputs,expected outputs\n",
"\n",
"mlp.set_all_training_examples(X.T, Y.T, m)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tanh factor=0.05773502691896258\n",
"tanh factor=0.023570226039551584\n",
"tanh factor=0.040824829046386304\n",
"tanh factor=0.05773502691896258\n",
"softmax factor=0.01\n",
"lenX,m 300 815\n",
"nb errors before training=783/815\n",
"Training...\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7faad5fb4828>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"learning duration=423.5131194591522(s)\n",
"{'iterations': 400, 'cost_function': 0.05707730196227899}\n",
"nb errors=0/815\n"
]
}
],
"source": [
"# TRAINING MLP\n",
"\n",
"import time\n",
"\n",
"# random weights\n",
"mlp.init_random_weights(use_formula=True)\n",
"#mlp.use_regularization(0.1)\n",
"mlp.use_adam()\n",
"\n",
"# Compute output\n",
"output = mlp.compute_outputs(X.T)\n",
"hard_output = output_to_hard(output)\n",
"mlp.set_all_expected_output_examples(Y.T)\n",
"expected_output = mlp.get_expected_output()\n",
"print(\"nb errors before training={}/{}\".format(count_errors(hard_output, expected_output), output.shape[1]))\n",
"\n",
"# Proceed learning with gradient descent\n",
"print(\"Training...\")\n",
"t0 = time.time()\n",
"res = mlp.learning(X.T, Y.T, m, min_cost=0.005, max_iter=400, plot=True)\n",
"t1 = time.time()\n",
"print(\"learning duration={}(s)\".format(t1-t0))\n",
"print(res)\n",
"\n",
"output = mlp.get_output()\n",
"hard_output = output_to_hard(output)\n",
"expected_output = mlp.get_expected_output()\n",
"print(\"nb errors={}/{}\".format(count_errors(hard_output, expected_output), output.shape[1]))\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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"815\n",
"11205435\n",
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" 6.81609807e-03 1.42383557e-02]\n",
" ...\n",
" [2.18693695e-03 1.06932897e-05 6.26956877e-05 ... 1.73090800e-05\n",
" 1.73771347e-03 9.35053349e-04]\n",
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" 4.33066815e-05 5.62964616e-05]\n",
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" 4.30372135e-04 2.13959714e-03]]\n",
"alleq? = False\n",
"eq? = [0.0398354 0.13953203 0.11592406 0.0546004 0.05237799 0.02873091\n",
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" ...\n",
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" -0.40154657 0.30937304 -0.21315979 -0.28265087 -0.20817706 -0.39292128\n",
" 0.3294288 0.27452695 -0.2574682 -0.26575848 -0.25179936 -0.28318954]\n",
" [ 0.28430125 -0.31038767 0.48597196 0.12973805 0.26646567 0.15723147\n",
" 0.16159973 -0.32119413 -0.17341505 -0.26143442 -0.16414317 -0.30828342\n",
" 0.23733006 0.60251712 0.62908505 -0.56649389 0.13190425 -0.13617064\n",
" 0.23352521 0.15445928 0.22054493 0.60944068 0.24706808 0.25442444\n",
" 0.15965767 -0.26063643 0.60511851 -0.29502172 0.24363511 0.31598863]\n",
" [ 0.4529228 -0.19791896 0.29679114 0.22637048 0.18588557 0.1737891\n",
" 0.21521636 -0.35133952 -0.15132406 -0.45543828 -0.15021506 -0.19219297\n",
" 0.212603 -0.46447686 -0.47703305 -0.42880518 0.21752408 -0.21339358\n",
" 0.16685158 0.20605005 0.1645001 -0.47468397 0.19437734 0.21661455\n",
" 0.20844634 -0.19417028 -0.84422966 -0.23352278 0.22411844 0.3344572 ]\n",
" [ 0.11146242 -0.39493168 -0.67277574 0.17735133 0.3494585 0.17972971\n",
" 0.40599276 -0.35692656 -0.1589401 -0.35652741 -0.16712554 -0.36849136\n",
" 0.21606536 0.43154963 0.5119343 0.60784471 0.09590012 -0.11022693\n",
" 0.25334226 0.07441461 0.19911404 0.49190939 0.25674542 0.2726784\n",
" 0.13339811 -0.39977864 -0.61299349 -0.39448018 0.22425161 0.3550595 ]\n",
" [-0.22553476 -0.16400018 0.1575079 -0.2449659 0.17217196 0.36584871\n",
" -0.4151224 -0.27461835 -0.41322192 0.59516902 -0.53687949 -0.32154433\n",
" 0.34781062 -0.18169761 -0.15132119 0.29670622 -0.31433345 0.23847385\n",
" 0.36530179 -0.23715269 0.40418099 -0.21880823 0.38547712 -0.44393407\n",
" -0.26260981 -0.22584222 -0.35088407 0.25887196 -0.35080979 0.29962415]\n",
" [ 0.28603197 0.05233352 -0.25041726 0.36235969 -0.06954592 -0.18473772\n",
" -0.32398336 0.00850745 0.21988989 0.32266026 0.31345786 0.23226471\n",
" 0.38540573 0.24459801 0.31311568 0.39951464 0.40672904 -0.33995168\n",
" -0.3037531 0.32775014 0.36646224 0.39444158 -0.19076159 0.39300212\n",
" 0.32494267 0.20894777 -0.35848763 -0.43250788 0.42496982 -0.15483433]\n",
" [ 0.26032116 0.21490476 -0.2187275 0.32454007 -0.383701 -0.32476076\n",
" 0.46057243 0.39261432 0.34241075 -0.46568251 0.35107534 0.34344324\n",
" -0.26486451 0.20669484 0.27349297 -0.31557323 0.31907863 -0.28654593\n",
" -0.25847679 0.27663853 -0.25348182 0.26465003 -0.24107552 -0.37446216\n",
" 0.28823435 -0.38761821 0.39293774 -0.26869749 -0.37080169 0.37781043]\n",
" [ 0.18080992 0.16806636 -0.18590519 0.27873606 -0.24228139 -0.20587094\n",
" -0.32836251 0.21025955 0.21867134 0.31244126 0.38533201 0.40978836\n",
" -0.60888186 0.18787758 0.2532362 -0.64523072 0.44087418 -0.21402722\n",
" -0.38465587 0.20243888 -0.60011161 0.41998496 -0.21481067 0.36365279\n",
" 0.21338477 0.3132603 -0.34554328 -0.23921918 0.4161459 -0.32291471]\n",
" [ 0.59686249 -0.21883383 0.25633012 0.19360453 0.19705649 0.1565695\n",
" 0.16489885 -0.43934714 -0.15586798 -0.52240484 -0.16463415 -0.22023174\n",
" 0.22325803 -0.56673684 -0.56077888 -0.28153803 0.17081901 -0.18187243\n",
" 0.17070813 0.15183296 0.20848829 -0.57724419 0.17022846 0.20022649\n",
" 0.17764016 -0.19213312 0.95056651 -0.23223579 0.23021395 0.43167911]\n",
" [-0.306572 0.22358668 -0.27095033 -0.30335723 -0.19471365 -0.32106078\n",
" -0.34113945 -0.36026685 0.33023732 -0.32228608 0.2794934 0.15294394\n",
" -0.330652 0.5427807 0.52853827 0.24113868 0.51050713 0.27053061\n",
" -0.22510015 -0.25642324 -0.34907998 0.15456284 -0.34380483 -0.27850277\n",
" -0.28940116 0.41842568 0.4258372 0.34471769 0.4405998 0.34583737]\n",
" [-0.19499827 -0.45418326 0.42284413 0.22245304 -0.3466359 -0.24153188\n",
" -0.2762196 -0.27119201 0.38269962 -0.24990396 0.2468054 0.25950907\n",
" -0.18607866 -0.26311394 0.25815523 0.24043963 -0.31530991 0.1775384\n",
" -0.22630052 -0.17645148 -0.2743691 0.36635652 -0.25065067 -0.16947293\n",
" -0.2039489 -0.37275883 0.60575769 -0.1831683 -0.34769327 0.18876766]\n",
" [-0.20117861 -0.32265223 0.25055853 -0.21697566 0.2439146 -0.34083987\n",
" 0.26171978 -0.36376315 -0.48507186 0.43520325 -0.27295958 -0.37051814\n",
" -0.3221222 -0.22580224 -0.18515532 0.38574065 -0.23645873 0.18874982\n",
" -0.4154596 -0.19441086 -0.36657829 -0.25857743 -0.39170924 -0.14268765\n",
" -0.21293315 -0.23409365 0.55288324 0.26139872 -0.18649861 0.35905453]\n",
" [-0.18787722 0.24159926 0.29715917 -0.1691407 -0.2460775 -0.23715499\n",
" 0.05646658 -0.29819085 -0.50761501 -0.13211355 -0.02878043 0.24280758\n",
" -0.34962047 0.09461028 -0.18775354 0.19026202 -0.32743804 0.20638663\n",
" -0.35985432 -0.19182861 0.51480121 0.18178444 0.47428626 -0.21715798\n",
" -0.18097537 0.22752919 0.26073176 0.15286636 -0.44220962 0.23048613]\n",
" [-0.30393766 0.27911977 -0.32718729 -0.24786572 -0.26105855 0.34264638\n",
" 0.29620545 0.32677102 -0.23566475 -0.17413566 -0.31712578 0.18246681\n",
" 0.27938709 0.30040454 -0.55074715 0.20147917 0.31734742 0.35047477\n",
" -0.58447039 -0.30768762 0.22746008 0.22492509 0.22846304 -0.57914316\n",
" -0.31291396 0.21631235 0.20127076 0.17339569 0.31236439 -0.2819663 ]\n",
" [-0.16563542 -0.44993409 0.32783508 -0.16275312 0.48069993 -0.4562979\n",
" 0.12691223 0.36229825 -0.38510154 -0.25002113 -0.11781159 0.3651783\n",
" 0.3655273 -0.33382818 -0.17143986 0.19221597 -0.39287596 0.17690961\n",
" -0.40940012 -0.17373452 0.38681247 -0.34371589 0.37729264 -0.19076642\n",
" -0.17840069 0.35707524 0.37659455 0.16533107 -0.45989463 -0.3639547 ]]\n",
"float64\n",
"[1800, 600, 300, 30, 31]\n"
]
}
],
"source": [
"# SHOW STATS\n",
"\n",
"mlp.prepare(force=True)\n",
"e=mlp.get_expected_output()\n",
"print(e)\n",
"print(np.sum(e))\n",
"print(range_weighted_sum(e))\n",
"mlp.compute_outputs()\n",
"o = mlp.get_output()#[:,:5]\n",
"print(\"out={}\".format(o))\n",
"print(\"alleq? =\",all_axis_equal(o))\n",
"print(\"eq? =\",axis_equal(o))\n",
"h = output_to_hard(o)\n",
"print(\"hout={}\".format(h))\n",
"print(range_weighted_sum(h))\n",
"print(\"alleq? =\",all_axis_equal(h))\n",
"e = mlp.get_expected_output()#[:,:5]\n",
"print(\"expout={}\".format(e))\n",
"print(range_weighted_sum(e))\n",
"print(\"nb errors={}\".format(count_errors(h, e)))\n",
"#print(mlp.get_weights())\n",
"i = mlp.get_input()\n",
"print(range_weighted_sum(i))\n",
"print(\"ieq? =\",axis_equal(i))\n",
"print(\"i? =\",i)\n",
"print(\"diff exp=\", np.sum(e,axis=1))\n",
"W=mlp.get_weights()\n",
"ln=[]\n",
"for w in W:\n",
" print(w)\n",
" ln.append(len(w))\n",
" print(w.dtype)\n",
"print(ln)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"weights_0-815_2018-01-20_21:58:11.params\n",
"[540000, 1080000, 180000, 9000, 930]\n",
"14479464\n",
"True\n",
"bias_0-815_2018-01-20_21:58:11.params\n",
"[1800, 600, 300, 30, 31]\n",
"22112\n",
"True\n"
]
}
],
"source": [
"# SAVE FEATURES\n",
"import datetime\n",
"\n",
"tm = str(datetime.datetime.now()).replace(\" \", \"_\").split(\".\")[0]\n",
"h = output_to_hard(o)\n",
"e = mlp.get_expected_output()\n",
"err = count_errors(h, e)\n",
"\n",
"name = \"weights_\"+str(err)+\"-815_\" + tm + \".params\"\n",
"print(name)\n",
"res = mlp.save_weights(name)\n",
"print(res)\n",
"\n",
"name = \"bias_\"+str(err)+\"-815_\" + tm + \".params\"\n",
"print(name)\n",
"res = mlp.save_bias(name)\n",
"print(res)\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[array([[-0.04057058, 0.0651853 , -0.01361134, ..., -0.08432194,\n",
" -0.08524303, 0.01243363],\n",
" [-0.00286033, 0.12115291, 0.09767998, ..., -0.00536564,\n",
" -0.05191855, -0.02886238],\n",
" [ 0.04904284, -0.07196302, -0.011977 , ..., -0.01733713,\n",
" -0.02678482, -0.01814325],\n",
" ...,\n",
" [ 0.00394269, -0.0310804 , 0.02376524, ..., -0.0601834 ,\n",
" -0.01638902, -0.05306143],\n",
" [-0.01504806, 0.02644431, 0.00124966, ..., -0.05542552,\n",
" 0.00306502, -0.01145775],\n",
" [ 0.00036982, -0.01023131, -0.02188288, ..., 0.04519798,\n",
" 0.09076506, 0.07051898]]), array([[-0.05250401, -0.08025294, 0.06132811, ..., 0.0405196 ,\n",
" -0.01162708, 0.03672399],\n",
" [ 0.09482913, 0.00679376, -0.03453199, ..., 0.02318048,\n",
" -0.05202014, -0.08659085],\n",
" [ 0.04236078, 0.03640715, -0.05303196, ..., -0.02014327,\n",
" -0.03987304, -0.00654301],\n",
" ...,\n",
" [-0.0842528 , -0.07436639, 0.03113683, ..., -0.01078837,\n",
" 0.00892173, 0.05104199],\n",
" [ 0.0030353 , 0.06464886, 0.00414398, ..., -0.02579914,\n",
" 0.04410472, -0.0385331 ],\n",
" [-0.01009386, -0.03736783, -0.01091777, ..., -0.01303171,\n",
" -0.0384781 , 0.02204992]]), array([[ 0.11061017, 0.0420736 , -0.04642054, ..., -0.07134354,\n",
" -0.03904634, -0.01886542],\n",
" [ 0.04064045, -0.04554107, -0.07069191, ..., 0.06552462,\n",
" 0.07950895, 0.00872621],\n",
" [-0.03146787, 0.05169459, -0.01455458, ..., 0.04899692,\n",
" 0.036003 , 0.00135215],\n",
" ...,\n",
" [ 0.04261361, -0.05432634, 0.01165223, ..., 0.02563088,\n",
" 0.03101841, -0.00810351],\n",
" [-0.06358307, -0.03166734, 0.14649339, ..., -0.06680764,\n",
" 0.06550367, 0.03018188],\n",
" [-0.05601524, 0.0246683 , 0.00018749, ..., -0.05908162,\n",
" -0.04142182, 0.01382154]]), array([[-0.02762126, 0.15890358, -0.02989871, ..., -0.0829157 ,\n",
" 0.05174366, -0.05561284],\n",
" [-0.15735023, -0.15949128, 0.03114682, ..., 0.06222333,\n",
" -0.17313786, 0.00764474],\n",
" [ 0.01382 , -0.0176754 , 0.0012808 , ..., 0.0462353 ,\n",
" -0.0018297 , 0.12981864],\n",
" ...,\n",
" [ 0.03184086, 0.10902008, -0.09454381, ..., -0.00361243,\n",
" 0.03193602, -0.03649373],\n",
" [ 0.10149575, 0.0782519 , -0.09373522, ..., 0.08087716,\n",
" 0.01729115, 0.07176767],\n",
" [ 0.02119645, -0.081914 , 0.17181034, ..., -0.02136329,\n",
" -0.09641983, 0.03086602]]), array([[ 0.1907328 , 0.18845196, -0.12224441, -0.05964109, 0.12367525,\n",
" -0.14402297, 0.11241219, -0.13761712, -0.14355683, -0.19991072,\n",
" 0.17114651, 0.14952979, -0.15596192, -0.15104949, -0.23011689,\n",
" -0.15934663, 0.26955059, 0.12671634, -0.24147539, 0.09565542,\n",
" 0.15679567, -0.12698284, -0.14428198, -0.12377838, -0.14584396,\n",
" 0.20000168, 0.11843919, 0.1480444 , -0.10038054, -0.19976624],\n",
" [-0.26594002, 0.24584459, -0.18039047, 0.15171004, 0.20866433,\n",
" 0.22284714, 0.16988576, -0.19359829, -0.23692458, 0.23815787,\n",
" -0.24761103, 0.21239668, 0.22052156, -0.20040023, 0.22730025,\n",
" -0.21014211, 0.19981055, 0.19265382, -0.24858026, 0.17936175,\n",
" -0.21152444, -0.18768684, -0.18730713, -0.2318144 , -0.22607281,\n",
" -0.25467438, 0.19574515, 0.21314958, -0.17710156, -0.21450085],\n",
" [-0.25615497, -0.19865084, -0.20528219, 0.21217482, 0.19610866,\n",
" -0.24527752, 0.18374664, -0.20198927, 0.21765273, -0.24950495,\n",
" 0.20526937, 0.2217967 , -0.20025442, -0.21887354, -0.20594999,\n",
" -0.19181317, -0.1639516 , 0.154928 , 0.17484602, 0.17860372,\n",
" 0.24819725, -0.18159039, -0.19416877, -0.19785529, -0.23132332,\n",
" -0.20847492, 0.18232355, 0.22824306, -0.18691723, -0.23293103],\n",
" [ 0.19472992, 0.16533858, -0.15963799, -0.18106074, 0.10123149,\n",
" 0.14237273, 0.07513196, -0.03270703, -0.10656724, -0.23463651,\n",
" 0.15565149, 0.15875073, -0.16138707, -0.15227946, -0.20782596,\n",
" -0.16188313, -0.23936766, 0.07554376, -0.12082848, 0.0511624 ,\n",
" 0.08963224, -0.11438051, -0.1254928 , -0.00549724, -0.14007508,\n",
" 0.17932819, 0.11322132, 0.13622499, -0.11977518, -0.08605742],\n",
" [ 0.21137036, 0.16977975, -0.14861876, 0.19382205, 0.17887821,\n",
" -0.19236291, 0.13210304, -0.15731299, -0.16763513, -0.21103014,\n",
" 0.16214318, 0.16514125, -0.17850148, -0.17187628, -0.21351516,\n",
" -0.14518994, -0.09725853, 0.1434566 , -0.1324925 , 0.10728972,\n",
" 0.18440369, -0.13522509, -0.1524557 , -0.16699473, -0.17502949,\n",
" 0.19349478, 0.1423498 , 0.1731691 , -0.11229991, -0.21206251],\n",
" [ 0.12195248, 0.10241038, -0.10367074, -0.05472222, 0.01144459,\n",
" 0.0166204 , 0.09638881, -0.08526092, -0.09770319, -0.11627265,\n",
" 0.09582335, 0.12626977, -0.10243554, -0.11886656, -0.13740106,\n",
" -0.05767998, -0.16101139, 0.10154252, -0.08185051, 0.04870284,\n",
" 0.09993 , -0.07882295, -0.0869228 , 0.04811999, -0.10613874,\n",
" 0.12802619, 0.06396679, 0.10684346, -0.05206837, -0.12849488],\n",
" [ 0.08656625, 0.09071858, -0.11948021, 0.03779479, 0.02079479,\n",
" 0.0379051 , 0.08068836, -0.09783856, -0.05666694, -0.10606728,\n",
" 0.10557745, 0.13188151, -0.1104979 , -0.09741735, -0.17654707,\n",
" -0.05717396, 0.09927688, 0.0968594 , -0.14976854, 0.02986896,\n",
" -0.00643134, -0.07775161, -0.12088278, 0.01849153, -0.09181426,\n",
" 0.06135522, 0.03427657, 0.10717171, -0.08853887, -0.14552713],\n",
" [ 0.11740736, 0.11235667, -0.12252784, -0.07941132, -0.13795959,\n",
" -0.05622596, 0.06639817, -0.05201894, -0.10426249, -0.16277948,\n",
" 0.11576816, 0.10638292, -0.11806386, -0.12976171, -0.17514634,\n",
" -0.05916817, 0.04886434, 0.09867757, -0.15749694, -0.01074741,\n",
" 0.05367458, -0.07634598, -0.12029428, -0.00167797, -0.13584242,\n",
" 0.10335138, -0.05427742, 0.11941579, -0.07177931, -0.15643634],\n",
" [ 0.17595935, -0.20609675, -0.18143248, 0.20202628, 0.2258074 ,\n",
" 0.23324888, 0.20565947, -0.17898123, -0.19707043, 0.21328099,\n",
" -0.19241915, -0.23998225, 0.18609225, -0.22031085, 0.21510215,\n",
" 0.21189783, 0.20304097, -0.21196697, 0.20114608, 0.20220369,\n",
" -0.22486312, 0.20355904, 0.23241498, 0.21094049, 0.25270852,\n",
" 0.18300853, 0.21338279, -0.22487285, 0.18570458, -0.21601711],\n",
" [ 0.16426065, 0.24864853, -0.15571289, -0.17283897, -0.24625815,\n",
" -0.14915066, 0.14764493, -0.15897913, -0.16317202, -0.1866881 ,\n",
" 0.23435393, 0.15669011, -0.22181878, -0.15380664, 0.05829437,\n",
" 0.1368447 , 0.09863624, 0.15981646, -0.26349993, 0.14259404,\n",
" 0.14901409, -0.18159128, -0.14006383, 0.21945115, -0.13061565,\n",
" 0.14923529, -0.15280675, 0.16797761, -0.16314103, -0.15339762],\n",
" [-0.20497796, -0.16754841, 0.24178219, 0.2001116 , -0.1793657 ,\n",
" -0.19427466, -0.14013332, 0.16299845, 0.18716269, -0.21014232,\n",
" -0.22724343, -0.28214883, 0.15116052, 0.20427022, 0.20755894,\n",
" 0.21634892, 0.19072303, 0.1423838 , -0.19900561, -0.14328682,\n",
" -0.15372109, 0.13000759, -0.1658216 , -0.30039756, 0.1957482 ,\n",
" -0.23308782, -0.19903931, 0.24974225, 0.28763474, -0.21003888],\n",
" [-0.25506614, -0.19321983, 0.19520065, -0.24451778, -0.1429063 ,\n",
" -0.16494355, -0.169921 , -0.274448 , 0.27525092, 0.25920018,\n",
" -0.15850576, 0.2497452 , 0.18821718, 0.23025386, 0.15638221,\n",
" 0.16852656, -0.26671685, -0.16851117, -0.21910654, -0.19380967,\n",
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" [ 4.44109208e-02],\n",
" [-2.30431742e-02],\n",
" [-3.44067780e-02],\n",
" [ 2.59988628e-02],\n",
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" [ 3.49199739e-02],\n",
" [ 9.23856588e-03],\n",
" [-3.61601956e-02],\n",
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" [ 6.86002538e-03],\n",
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" [ 3.71721553e-02],\n",
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" [-2.87723570e-02],\n",
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" [-4.15655531e-02],\n",
" [ 1.36175995e-04],\n",
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" [ 1.03131059e-02],\n",
" [ 9.49765312e-03],\n",
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" [ 3.34967999e-03],\n",
" [ 2.75580078e-03],\n",
" [-1.24999768e-02],\n",
" [ 1.92162764e-02]]), array([[-0.04063365],\n",
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" [ 0.0583552 ],\n",
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" [ 0.00359234],\n",
" [ 0.01238629],\n",
" [-0.05348402],\n",
" [ 0.005845 ],\n",
" [ 0.06022076]]), array([[-0.17365484],\n",
" [-0.09489937],\n",
" [-0.12895467],\n",
" [-0.1621321 ],\n",
" [-0.1672037 ],\n",
" [-0.18413244],\n",
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" [ 0.15470179],\n",
" [-0.16888425],\n",
" [-0.09014148],\n",
" [ 0.11352326],\n",
" [ 0.1927987 ],\n",
" [-0.16811378],\n",
" [-0.18508637],\n",
" [ 0.18735534],\n",
" [ 0.18322863],\n",
" [ 0.17512173],\n",
" [ 0.0838658 ],\n",
" [-0.17509903],\n",
" [-0.14821157],\n",
" [ 0.14748116],\n",
" [ 0.02902309],\n",
" [ 0.1668159 ],\n",
" [ 0.13671752],\n",
" [-0.09753125],\n",
" [-0.17599583],\n",
" [-0.16613489],\n",
" [-0.18254197],\n",
" [-0.17835342],\n",
" [-0.17021598]])]\n"
]
}
],
"source": [
"print(mlp.get_weights())\n",
"print(mlp.get_bias())"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"True\n",
"True\n"
]
}
],
"source": [
"# LOAD FEATURES\n",
"\n",
"# load params from file\n",
"fw = \"weights_0-815_2018-01-20_21:58:11.params\"\n",
"fb = \"bias_0-815_2018-01-20_21:58:11.params\"\n",
"res = mlp.load_weights(fw)\n",
"print(res)\n",
"res = mlp.load_bias(fb)\n",
"print(res)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"recognized: 'P'\n",
"expected: 'P'\n",
"recognized: 'r'\n",
"expected: 'r'\n",
"recognized: 'l'\n",
"expected: 'l'\n",
"recognized: 'd'\n",
"expected: 'd'\n"
]
}
],
"source": [
"# GENERALIZATION\n",
"\n",
"def recognize_letter(num_letter):\n",
" # Compute outputs\n",
" e = batch[0][1][num_letter]\n",
" res = output_to_hard(mlp.compute_outputs())\n",
" print(\"recognized: '{}'\".format(letters_data.get_letter_of_vector(res[:,num_letter].flatten().tolist())))\n",
" print(\"expected: '{}'\".format(letters_data.get_letter_of_vector(Y.T[:,num_letter].flatten().tolist())))\n",
"\n",
"recognize_letter(0)\n",
"recognize_letter(1)\n",
"recognize_letter(12)\n",
"recognize_letter(25)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"num_letter = 15\n",
"e = batch[0][1][num_letter]\n",
"#X = np.array(batch[0][0][0]).reshape(1, len(batch[0][0][0]))\n",
"\n",
"print(\"expected: '{}'\".format(letters_data.get_letter_of_vector(e)))\n",
"#mlp.set_all_input_examples(X.T)\n",
"#mlp.set_all_input_examples(X.T, m=X.shape[0])\n",
"mlp.set_all_training_examples(X.T,Y.T,m=X.shape[0])\n",
"print(mlp.compute_outputs())\n",
"res = output_to_hard(mlp.compute_outputs())\n",
"print(res)\n",
"print(res[:,num_letter].flatten().tolist())\n",
"# check the first input image\n",
"print(\"recognized: '{}'\".format(letters_data.get_letter_of_vector(res[:,num_letter].flatten().tolist())))\n",
"print(\"expected: '{}'\".format(letters_data.get_letter_of_vector(Y.T[:,num_letter].flatten().tolist())))\n",
"print(res[:,num_letter])\n",
"print(Y.T[:,num_letter])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"lenX,m 300 1\n",
"image \"data/ext_ln0_car0.pgm\" recognized as 'P'\n",
"lenX,m 300 1\n",
"image \"data/ext_ln0_car1.pgm\" recognized as 'r'\n",
"lenX,m 300 1\n",
"image \"data/ext_ln0_car15.pgm\" recognized as 'e'\n"
]
}
],
"source": [
"# RECOGNIZE IMAGE\n",
"from pnmimage import PnmImage\n",
"\n",
"def get_recognized_char(filename):\n",
" img = PnmImage()\n",
" if img.load(filename) == False:\n",
" print(\"ERROR: failed to open '{}'\".format(filename))\n",
" image_size = img.get_size()\n",
" idata = img.get_data_bin()\n",
" output = mlp.compute_outputs(idata, 1)\n",
" h = output_to_hard(output)\n",
" return h.flatten().tolist()\n",
"\n",
"name = \"data/ext_ln0_car0.pgm\"\n",
"vec = get_recognized_char(name)\n",
"letter = letters_data.get_letter_of_vector(vec)\n",
"print(\"image \\\"{}\\\" recognized as '{}'\".format(name, letter))\n",
"\n",
"\n",
"name = \"data/ext_ln0_car1.pgm\"\n",
"vec = get_recognized_char(name)\n",
"letter = letters_data.get_letter_of_vector(vec)\n",
"print(\"image \\\"{}\\\" recognized as '{}'\".format(name, letter))\n",
"\n",
"name = \"data/ext_ln0_car15.pgm\"\n",
"vec = get_recognized_char(name)\n",
"letter = letters_data.get_letter_of_vector(vec)\n",
"print(\"image \\\"{}\\\" recognized as '{}'\".format(name, letter))\n"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iaHBwcD711q3UIjas7Gb/0TcXdD1mZktRPeH+DLBZ0iZJ7cCdwM7yBpKuB75AEuxHGl/m/Gwa6OUVH7mbWROqGe4RMQncAzwOvAA8GhG7Jd0v6fa02X8GeoHHJP29pJ1VPm5RbRro5pVjp5mejqxLMTNbVHX1uUfELmDXrHn3lb3+YIPraohNA72cn5zm4ImzrF/ZnXU5ZmaLprC/UAX44TXLANj96qmMKzEzW1wFD/fltLaI50ZPZF2KmdmiKnS4d7aVeOdVy/juwZNZl2JmtqgKHe4A71nXx3OjJ4nwSVUzax6FD/fr16/g5NkJ9h329e5m1jwKH+7ve8cAAH+1b8lcfm9mtuAKH+5r+rp4x+pevrXvaNalmJktmsKHO8At73wbT+8/xokz41mXYma2KJoi3O/4sauZmAp2/sOrWZdiZrYomiLcf+TqPrasWc4jf3fAV82YWVNoinAHuOsn386e107xzX1jWZdiZrbgmibc/9n161jb38V/+cu9THkgMTMruKYJ9/bWFu699V08f/AUD/6//VmXY2a2oJom3AF+9j1r+PCW1Xz6L17kb793LOtyzMwWTFOFuyR+7xeuY+NAD9u/NMwzrxzPuiQzswXRVOEOsLyzjT/+lRsZ7O3gI198mof+Zr9v5mFmhdN04Q6wtr+Lx/71zdx87Sp+5//s4ec//22+/T3/gtXMikNZXfc9NDQUw8PDmax7RkTw2PAon/naPg6dOseWNcv5uR9fxz/90TVc1deZaW1mZpVIejYihmq2a+Zwn3FuYorHnh3l0WcOXBj7/Yfe1stPXruKd6/t40euXs7mty2jvbUp/9AxsyXE4T5PLx1+g2/uHeOvR44y/MpxzoxPAVBqEVf3d7JhZTfrV3Sztr+LgWUdrOppZ1VvO6t6OljR005vRyulFmW8FWZWVPWGe103yG4mm1cvY/PqZXzsn1zD1HTwyrHT7H71FHsPneLA8bMceP0MX3/hMEffrD4IWXd7iZ6OVno7WunpKNHT3sqyzlY62kp0lFpob00fpRY62lpoL5Uuzmttob0kSi0tlFqgRaK1/HVJtEiUWtJH+esWXWgjhATJ90zyWiSfkbxOn5VcRXTpMkDpNJcuZ+Y91T4rfT2j/GtO6YJL5711uZldOYf7HEot4trBXq4d7IXrrr5k2bmJKY6fHuf46XGOvnn+wus3zk1y+vwkp8cnefP8FKfPT/Lm+UleO3mOcxNTjE9NMz6ZPM6nz5O+WqeqSl8U5V8Clb4oROVvF81qN7vtxfeXf2bldVGrbZ2fpUofWuX9s831Xag53jn3++Za3/y+fOdc3xLahjm3rsHru/Mfreej77tmrjVeMYf7PHW2lbi6v4ur+7uu+LOmp4PxqYthPzE1zdR0JI+Ii68rzJueDiZn5k1dXBYBQfI8nXa9zbxOliUnlMvbBZcuJ4LpSNuVvX/ms4KZ5WWfUdbNV97jFxXnvbXtJV9z5Z81j/dXbFuhJrhYd6Waq31WtR7NC591Ge+v3Lb6l/5cvalzLpvvZ1ZfNO/1zXPRnIP/zb/Oxq9vroUDvR1zvbMh6gp3SVuBPwBKwBcj4j/OWt4B/Anw48Ax4F9ExCuNLbW4WlpEZ0uJzrZS1qWYWUHUvPxDUgl4ALgV2AJsk7RlVrO7gdcj4oeA3wc+3ehCzcysfvVc23cjMBIRL0fEOPAIcMesNncAf5y+/jLwAfnsmJlZZuoJ97XAgbLp0XRexTYRMQmcBFY1okAzM7t8i/qrHEnbJQ1LGh4b800zzMwWSj3hfhBYXza9Lp1XsY2kVqCP5MTqJSJiR0QMRcTQ4ODg/Co2M7Oa6gn3Z4DNkjZJagfuBHbOarMTuCt9/fPAN8I3KzUzy0zNSyEjYlLSPcDjJJdCPhgRuyXdDwxHxE7gvwFfkjQCHCf5AjAzs4zUdZ17ROwCds2ad1/Z63PAP29saWZmNl+ZDRwmaQz4/jzfPgA02wDs3ubm4G1uDleyzW+PiJonLTML9yshabieUdGKxNvcHLzNzWExttkDlJuZFZDD3cysgPIa7juyLiAD3ubm4G1uDgu+zbnsczczs7nl9cjdzMzmkLtwl7RV0l5JI5LuzbqeRpG0XtKTkvZI2i3p4+n8lZK+Juml9HlFOl+SPpv+Ozwn6YZst2B+JJUkfUfSV9PpTZKeTrfrf6a/ikZSRzo9ki7fmGXdV0JSv6QvS3pR0guSbi7yfpb06+n/6eclPSyps4j7WdKDko5Ier5s3mXvV0l3pe1fknRXpXXVI1fhXufY8nk1CXwiIrYANwG/mm7bvcATEbEZeCKdhuTfYHP62A58bvFLboiPAy+UTX8a+P303gCvk9wrAIp1z4A/AP4iIt4FXEey/YXcz5LWAv8WGIqId5P8yv1OirmfHwK2zpp3WftV0krgU8BPkAy3/qmZL4TLltxqLR8P4Gbg8bLpTwKfzLquBdrW/w18CNgLrEnnrQH2pq+/AGwra3+hXV4eJIPQPQG8H/gqye0ojwKts/c3yfAXN6evW9N2ynob5rHNfcD+2bUXdT9zcTjwlel++yrwM0Xdz8BG4Pn57ldgG/CFsvmXtLucR66O3KlvbPncS/8UvR54GlgdEa+liw4Bq9PXRfi3+K/AbwLT6fQq4EQk9wSAS7epKPcM2ASMAf897Y76oqQeCrqfI+Ig8HvAD4DXSPbbsxR/P8+43P3asP2dt3AvPEm9wP8Cfi0iTpUvi+SrvBCXN0n6WeBIRDybdS2LrBW4AfhcRFwPnObin+pA4fbzCpI7tW0CrgZ6eGvXRVNY7P2at3CvZ2z53JLURhLsfxoRX0lnH5a0Jl2+BjiSzs/7v8V7gdslvUJy68b3k/RF96f3BIBLt6muewbkwCgwGhFPp9NfJgn7ou7nDwL7I2IsIiaAr5Ds+6Lv5xmXu18btr/zFu71jC2fS5JEMnTyCxHxmbJF5WPl30XSFz8z/5fSs+43ASfL/vxb8iLikxGxLiI2kuzHb0TELwJPktwTAN66vbm/Z0BEHAIOSHpnOusDwB4Kup9JumNuktSd/h+f2d5C7+cyl7tfHwc+LGlF+lfPh9N5ly/rExDzOGFxG7AP+B7w21nX08Dt+sckf7I9B/x9+riNpL/xCeAl4OvAyrS9SK4c+h7wXZKrETLfjnlu+y3AV9PX1wB/B4wAjwEd6fzOdHokXX5N1nVfwfb+GDCc7us/A1YUeT8D/wF4EXge+BLQUcT9DDxMcl5hguQvtLvns1+BX0m3fwT45fnW41+ompkVUN66ZczMrA4OdzOzAnK4m5kVkMPdzKyAHO5mZgXkcDczKyCHu5lZATnczcwK6P8D+XnnFxrLAEoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168d17748>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.031307411466539793}\n",
"[[ 0.01201341 0.98092967 0.98092663 0.02404195]\n",
" [ 0.98798659 0.01907033 0.01907337 0.97595805]]\n",
"[array([[-2.40378742, 2.05154928],\n",
" [ 1.09713928, 1.09693386],\n",
" [ 2.05046244, -2.40358981]]), array([[ 2.57638752, 0.99113136, 2.57718917],\n",
" [-2.60126558, -0.77456271, -2.6004823 ]])]\n"
]
},
{
"data": {
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AF986xdXrV7e5NWZm7VWIJ1QBPji4CglePHqq3U0xM2u7woR7b1eZzWv7HO5mZhQo3AG2rV/FoTdPtrsZZmZtV6hw/9DGAV48epJT5yfa3RQzs7YqVLh/dMtaKgHff+V4u5tiZtZWhQr369+/lpJg+GWHu5mtbIUK91XdHfzEhsv43uFj7W6KmVlbFSrcAf7+NYPsf/kY7/pbmcxsBStcuO/40JVMVIInDrRlFgQzs2WhcOF+3aYBrhro4b8/+3q7m2Jm1jaFC3dJ3Dm0mW8fGuXltz3PjJmtTIULd4BP/uT7KUs8/J3D7W6KmVlbFDLc11/Wwy98dDN/8vQrvDTq6QjMbOUpZLgD/Mat19DTWea3/uxZJjzHu5mtMIUN98HV3fzbn7+W/S8f5wt/ebDdzTEzu6Sams89VT9//Ub2v3yML3/7Jfq7Ovi1j1+NpHY3y8zsoit0uAM8sPNazo5N8uA3D/HD0VM8sPNaBno7290sM7OLqvDhXi6J3/3HH+YDg/08+M1DfGfkbX791mu48yOb6Okst7t5ZmYXhSKiLTseGhqK4eHhS7rP5147wf17n+eZHx3niv4u/uENG/m5667iuk0DHq4xsyRIeiYihnLrraRwB4gInnrpGH/0fw7z7UNHGZ8M1q3q5sata7lxy+V8aOMA16xfzUCfh27MbPlpNtwLPywzlyRu/uAV3PzBKzhxZpxvHniL7468zdOHj7HvB29O13vfZd1suaKfq9b0smGgh6vW9HLlZT2s7e9koLeLtX2dDPR20lEu7A1HZpawFRfutQb6OrnzI5u48yObAHj93bMcfPMkh946yaG3TvHKsdN87/Ax3nzvHJOV+n/hrO7p4LKeTnq7yvR1lentrL72dXVMl/V0luksi85yic5yia5yiY5suatcorOj+r6jVKKrQ5RLJUqCsoQkyiVREpRKoiRl5WTlolyq/tIqZ3Vr10kgpl6rJCGYXje1YqpO7XqY+Tx1ymrrT2/DQ1xmbbeiw32uq9b0ctWaXn7qx9fPKp+sBKMnz/PWe+c4fmaME2fHOX56jONnxjlxdpz3zo1zdmySM2OTnB2bZPTUec6MnZkuOz8xyfhkNPwFUVQzvwjq/ELJVtT+Epn1WWYX1q8zd39acH29wnp15m1nCfuuXye/Qc3tq16d1rR53mfqbWfez7DOsTfxc154v81/YtFdiUV84GK1+66PbubTf+8Di9z64jjcm1AuiSsHerhyoOeCtlOpBOOVCuOTwfhEhfHJCuOVmfdjk5XpXwKVCCqVYDKCCGbKIqhUyMqDyVnvg0pU91OJ6mcrAUQw9WslonrdIabeT5fHzHqq+wRq6s2UTdWf+vxM3ZmyqcK5n5/VDmoKaswtqnddaG7R/M/U227k1pm/nzr7btG+mtnO3Fp1tzPvZ7H4n1ez25lbVH87kVtnIYu5DLj4bTf/iUV3xRbxgXWruhe79UVzuF9CpZLoLpXp7gAu/rk1sxWsqauBknZIOihpRNK9ddZ3S/qv2fqnJW1pdUPNzKx5ueEuqQw8BNwGbAd2Sdo+p9rdwPGIuBr4PeDzrW6omZk1r5me+43ASES8FBFjwKPAzjl1dgL/OXv/NeAT8i0TZmZt00y4bwRerVk+kpXVrRMRE8AJ4Iq5G5K0W9KwpOHR0dGltdjMzHJd0idwImJPRAxFxNDg4OCl3LWZ2YrSTLi/BmyuWd6UldWtI6kDGADeaUUDzcxs8ZoJ9/3ANklbJXUBdwF759TZC3wqe38n8K1o16Q1ZmaWf597RExIugd4HCgDD0fE85IeAIYjYi/wR8BXJY0Ax6j+AjAzszZp26yQkkaBHy3x4+uAt1vYnBT4mFcGH/PKcCHH/GMRkXvRsm3hfiEkDTcz5WWR+JhXBh/zynApjtnz1ZqZFZDD3cysgFIN9z3tbkAb+JhXBh/zynDRjznJMXczM1tYqj13MzNbQHLhnjf9cKokbZb0pKQXJD0v6TNZ+eWSvinpxex1bVYuSV/Mfg7PSrqhvUewNJLKkr4v6RvZ8tZs2uiRbBrprqy8MNNKS1oj6WuS/kbSAUk3F/k8S/qN7P/0c5IekdRTxPMs6WFJRyU9V1O26PMq6VNZ/RclfarevpqRVLg3Of1wqiaAz0bEduAm4FezY7sXeCIitgFPZMtQ/Rlsy/7tBr506ZvcEp8BDtQsfx74vWz66ONUp5OGYk0r/R+A/xkRPw58mOrxF/I8S9oI/HNgKCKupfog5F0U8zx/Bdgxp2xR51XS5cD9wE9SnZH3/qlfCIsW2Ve0pfAPuBl4vGb5c8Dn2t2ui3Ss/w34aeAgsCEr2wAczN5/GdhVU3+6Xir/qM5T9ATwceAbVL+y8m2gY+75pvqE9M3Z+46sntp9DEs45gHg8Ny2F/U8MzNj7OXZefsG8LNFPc/AFuC5pZ5XYBfw5ZryWfUW8y+pnjvNTT+cvOxP0euBp4H3RcQb2ao3gfdl74vws/j3wL8EKtnyFcC7UZ02GmYfU1PTSidgKzAK/KdsOOoPJfVT0PMcEa8Bvwu8ArxB9bw9Q/HP85TFnteWne/Uwr3wJK0C/gz49Yh4r3ZdVH+VF+L2Jkk/BxyNiGfa3ZZLrAO4AfhSRFwPnGbmT3WgcOd5LdUv89kKXAX0M3/oYkW41Oc1tXBvZvrhZEnqpBrs/yUivp4VvyVpQ7Z+A3A0K0/9Z/Ex4A5JL1P9dq+PUx2LXpNNGw2zj6ko00ofAY5ExNPZ8teohn1Rz/OtwOGIGI2IceDrVM990c/zlMWe15ad79TCvZnph5MkSVRn1zwQEQ/WrKqdTvlTVMfip8p/KbvqfhNwoubPv2UvIj4XEZsiYgvV8/itiPhF4Emq00bD/ONNflrpiHgTeFXS38qKPgG8QEHPM9XhmJsk9WX/x6eOt9DnucZiz+vjwM9IWpv91fMzWdnitfsCxBIuWNwOHAJ+CPx2u9vTwuP6u1T/ZHsW+Ovs3+1UxxufAF4E/hdweVZfVO8c+iHwA6p3I7T9OJZ47LcA38jefwD4HjAC/CnQnZX3ZMsj2foPtLvdF3C8fwcYzs71nwNri3yegX8D/A3wHPBVoLuI5xl4hOp1hXGqf6HdvZTzCvyz7PhHgF9eanv8hKqZWQGlNixjZmZNcLibmRWQw93MrIAc7mZmBeRwNzMrIIe7mVkBOdzNzArI4W5mVkD/HxWQpdjMgRU0AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168c3dcc0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.031190216120355926}\n",
"[[ 0.01277621 0.9811383 0.98114161 0.02333379]\n",
" [ 0.98722379 0.0188617 0.01885839 0.97666621]]\n",
"[array([[-1.01205709, -1.01200878],\n",
" [ 2.08751553, -2.38975991],\n",
" [-2.38947784, 2.08601873]]), array([[-0.78583897, 2.64231438, 2.5581069 ],\n",
" [ 0.77756604, -2.57364066, -2.65805014]])]\n"
]
},
{
"data": {
"image/png": 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ZVRmHe5ld2trIvqO97DvSU+5SzKyKONzLbNaU3C0IXjlQkQ+wMrOUcriX2eADQfb6yN3MSsjhXmYXJeH+6pETZa7EzKqJw73MfORuZmPB4V5mkyfWkZHD3cxKq6hwl7RM0lZJnZJuG2b5f5T0G0mbJP1c0uLSl1qdshkxZWIdrzrczayECoa7pCxwF3AjsBhYNUx4fzsiXhcRbwD+DPhSySutYlMb69h72OFuZqVTzJH7UqAzIrZFRA+wBliR3yEiDubNNgK+zeE5mNJYx96jDnczK51insQ0C9ieN98FXDO0k6RPAJ8G6oBrh1uRpNXAaoC5c+eea61Vq6W+lq59R8tdhplVkZKdUI2IuyJiAfCfgc+N0OeeiGiPiPa2trZSvXTqtTTUcOh4X7nLMLMqUky47wDm5M3PTtpGsgb4N+dT1HjTUl/LoeN+3J6ZlU4x4b4BWCRpvqQ6YCWwNr+DpEV5s+8Dni1didWvub6GQyf6/EQmMyuZgmPuEdEn6RZgPZAFvh4RWyTdCXRExFrgFknvBnqBfcBHx7LoatNSX0sEHOnpo7m+ttzlmFkVKOaEKhGxDlg3pO2OvOlbS1zXuNJcn9sNh4473M2sNPwJ1QowGOgHPe5uZiXicK8ALQ2njtzNzErB4V4BBo/cfcWMmZWKw70CDI65HzzmI3czKw2HewU4dULVR+5mVhoO9wrQcvKEqo/czaw0HO4VoL42S10246tlzKxkHO4Vorne95cxs9JxuFeIloZah7uZlYzDvULkjtw9LGNmpeFwrxDN9TUcPOZwN7PScLhXiNxtfz0sY2al4XCvED6hamal5HCvEM31tb4U0sxKxuFeIVrqazna009f/0C5SzGzKlBUuEtaJmmrpE5Jtw2z/NOSnpS0WdJDki4pfanVbfAWBIdPeGjGzM5fwXCXlAXuAm4EFgOrJC0e0u3XQHtELAEeAP6s1IVWO988zMxKqZgj96VAZ0Rsi4gecg/AXpHfISJ+EhFHk9lHyT1E285BS4Mf2GFmpVNMuM8CtufNdyVtI7kJ+MH5FDUe5T9qz8zsfBX1DNViSfoI0A78qxGWrwZWA8ydO7eUL516LX7UnpmVUDFH7juAOXnzs5O200h6N/DHwPKIODHciiLinohoj4j2tra20dRbtXzkbmalVEy4bwAWSZovqQ5YCazN7yDpKuBucsG+u/RlVr8WP2rPzEqoYLhHRB9wC7AeeAq4PyK2SLpT0vKk258DTcDfS9okae0Iq7MRNPlqGTMroaLG3CNiHbBuSNsdedPvLnFd405tNkNDbdZH7mZWEv6EagWZ2ljH3iM95S7DzKqAw72CTG+ZwM6Dx8tdhplVAYd7BZkxqZ5dDnczKwGHewWZ1lzProPDXkVqZnZOHO4VZMakeg6f6PPNw8zsvDncK8j0lgkAHpoxs/PmcK8gs6dMBOClvUcL9DQzOzuHewWZd1EjAC/sOVLmSsws7RzuFaS1qY7mCTUOdzM7bw73CiKJea2NbHO4m9l5crhXmEXTmti681C5yzCzlHO4V5glsyex+9AJdh7wFTNmNnoO9wqzZM5kADZt31/mSswszRzuFWbxzBZqMmJzl8PdzEbP4V5h6muzXDGzmY0v7it3KWaWYg73CvT2hW1sfHGfn6dqZqNWVLhLWiZpq6ROSbcNs/ydkh6T1Cfpg6Uvc3y59opp9A0EDz+7p9ylmFlKFQx3SVngLuBGYDGwStLiId1eAj4GfLvUBY5Hb5w7mZb6Gn705K5yl2JmKVXMkftSoDMitkVED7AGWJHfISJeiIjNwMAY1Dju1GQzvG/JxfzgiZ1+7J6ZjUox4T4L2J4335W0nTNJqyV1SOro7u4ezSrGjQ+3z+ZYbz9rH3+53KWYWQpd0BOqEXFPRLRHRHtbW9uFfOnUecOcybz24hbu+Zdt9PX7HyIzOzfFhPsOYE7e/OykzcaQJG69bhEvvnqU727y0buZnZtiwn0DsEjSfEl1wEpg7diWZQDXL57OlbNa+O8/3OqxdzM7JwXDPSL6gFuA9cBTwP0RsUXSnZKWA0h6k6Qu4EPA3ZK2jGXR44UkvrDiSnYdPM6f/uDpcpdjZilSU0yniFgHrBvSdkfe9AZywzVWYlfNncLvvuNS7vmXbVwzfyor3jCqc9lmNs74E6op8Jn3XM4186fyRw9s5uFOf7DJzApzuKdAXU2Gr37kaua3NvLxb2zgn/zhJjMrwOGeElMb67jv5jdz+fRmbr63gy/9cKsvkTSzETncU2RKYx33/95b+LdXzeYrP+7k/f/z5/zq+b3lLsvMKpDDPWUa6rL8xYeW8FcfuZqDx3r58N2P8Dtfe5SfPdvNwECUuzwzqxCKKE8gtLe3R0dHR1leu1oc7enj3kde5Gs/f57uQyeYPaWB37pqFjdeOZPXzGxGUrlLNLMSk7QxItoL9nO4p9/x3n5+8MQrfOexHTzcuYeBgNamCbxjUStXXzKF18+ezOUzmqmr8T9qZmnncB+ndh86zj9v7eZnz+7h4c49vHqkB4C6bIaF05qY39bIpa2NzLuokXmtE5neUs+05noHv1lKONyNiKBr3zEe79rP5q4DPLvrEM/vOcL2fcfoHzI+f1FjXS7oWyYwZWIdkxpqT35Nnpj73tJQS0Ntlol1WSbW1dBQm6WhLus3BrMLqNhwL+oTqpZOkpgzdSJzpk7k/UsuPtne0zfAS3uPsn3vUXYdPM6ugyfYefA4uw8eZ/ehEzzXfZgDR3s5eLyvqNepyYiGulzoN9Tmwr42m/uqy2aSeeXaapK2bIbaGp3sl5GoyYhMRmQlshnypkVm8HvSdrJvhpPLsjq1PJMBIaTc70Hk+kmg5HczOJ3JKGk71VcSGeWv49T0iOs5OZ33M0PXA5DMk7xm0nTyHMngmZJTy3SysVD/oes9Yz0n+536GzljHT5XUxUc7uNQXU1uiGbhtKaz9usfCA4e62X/sV4OHOvl4LFejvX2c6ynn6M9/Rzt6ctNn2zr41jvAH39A/T0DdDTP0Bv/wDHevs5ePz0tt6+oLf/1PzAAPQNDOALfirPSG8GQ9800AhvTGdZR96Pnlym4dqGrBeG63fqNU97czttW4Z/4xruzfC0bTtt/cOv77Q1F3j9W69bxL9+/cWMJYe7jSibEVMa65jSWHfBXjMiGIjcG8tABP0DQX8EAwP508kbwQD0J31O9k2mByK3rkjWGQEBDAwMtuUvh4Ez+kbSPsJ68qbzf2Zg4My2k+vh1M8kG5v7dmqSyGsb7HJq+tQ738n+ydLT+51aNnTUdbCuoa8xtH9+jcX0G9zW/Mb8us/WP7/G4bf/9H5x2s8MWZZfx9B1n/Z7yG8fvtPp/WOYtrP3HdqePzOpoZax5nC3iiKJrHJvLGY2ej4TZmZWhRzuZmZVqKhwl7RM0lZJnZJuG2b5BEl/lyz/paR5pS7UzMyKVzDcJWWBu4AbgcXAKkmLh3S7CdgXEQuBLwNfLHWhZmZWvGKO3JcCnRGxLSJ6gDXAiiF9VgDfTKYfAK6TL5Y1MyubYsJ9FrA9b74raRu2T/LM1QPARaUo0MzMzt0FPaEqabWkDkkd3d3dF/KlzczGlWLCfQcwJ29+dtI2bB9JNcAk4NWhK4qIeyKiPSLa29raRlexmZkVVMyHmDYAiyTNJxfiK4HfHtJnLfBR4BHgg8CPo8AdyTZu3LhH0ovnXjIArcB4e1K0t3l88DaPD+ezzZcU06lguEdEn6RbgPVAFvh6RGyRdCfQERFrgb8G7pXUCewl9wZQaL2jPnSX1FHMXdGqibd5fPA2jw8XYpuLuv1ARKwD1g1puyNv+jjwodKWZmZmo+VPqJqZVaG0hvs95S6gDLzN44O3eXwY820u25OYzMxs7KT1yN3MzM4ideFe6CZmaSVpjqSfSHpS0hZJtybtUyX9SNKzyfcpSbskfSX5PWyW9MbybsHoSMpK+rWkB5P5+cnN5zqTm9HVJe1VcXM6SZMlPSDpaUlPSXrLONjHf5D8TT8h6T5J9dW4nyV9XdJuSU/ktZ3zvpX00aT/s5I+Otp6UhXuRd7ELK36gD+MiMXAm4FPJNt2G/BQRCwCHkrmIfc7WJR8rQa+euFLLolbgafy5r8IfDm5Cd0+cjelg+q5Od1fAv8YEVcArye37VW7jyXNAj4FtEfEleQup15Jde7nbwDLhrSd076VNBX4E+Aacvf1+pPBN4RzlnsEVjq+gLcA6/PmbwduL3ddY7St3wOuB7YCM5O2mcDWZPpuYFVe/5P90vJF7tPODwHXAg+Se9zkHqBm6P4m9zmLtyTTNUk/lXsbznF7JwHPD627yvfx4H2npib77UHghmrdz8A84InR7ltgFXB3Xvtp/c7lK1VH7hR3E7PUS/4VvQr4JTA9Il5JFu0EpifT1fC7+B/AHwEDyfxFwP7I3XwOTt+marg53XygG/i/yVDU1yQ1UsX7OCJ2AH8BvAS8Qm6/baS693O+c923JdvnaQv3qiepCfgH4Pcj4mD+ssi9lVfF5U2S3g/sjoiN5a7lAqoB3gh8NSKuAo5w6t90oLr2MUAypLCC3BvbxUAjZw5djAsXet+mLdyLuYlZakmqJRfs34qI7yTNuyTNTJbPBHYn7Wn/XbwNWC7pBXLPCLiW3Hj05OTmc3D6NhV1c7oK1wV0RcQvk/kHyIV9te5jgHcDz0dEd0T0At8ht++reT/nO9d9W7J9nrZwP3kTs+Ts+kpyNy1LPUkid4+epyLiS3mLBm/KRvL9e3nt/z456/5m4EDev38VLyJuj4jZETGP3H78cUT8DvATcjefgzO3d/D3UNTN6SpNROwEtku6PGm6DniSKt3HiZeAN0uamPyND25z1e7nIc51364H3iNpSvJfz3uStnNX7hMQozhh8V7gGeA54I/LXU8Jt+vt5P5l2wxsSr7eS2688SHgWeCfgKlJf5G7cug54DfkrkYo+3aMctvfBTyYTF8K/AroBP4emJC01yfzncnyS8td9yi39Q1AR7KfvwtMqfZ9DPxX4GngCeBeYEI17mfgPnLnFXrJ/Zd202j2LfAfku3vBD4+2nr8CVUzsyqUtmEZMzMrgsPdzKwKOdzNzKqQw93MrAo53M3MqpDD3cysCjnczcyqkMPdzKwK/X9FSS3u38GL5wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168c96da0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.03171314920552748}\n",
"[[ 0.01947007 0.97421129 0.98964546 0.01990589]\n",
" [ 0.98052993 0.02578871 0.01035454 0.98009411]]\n",
"[array([[ 1.31420216, -1.30600905],\n",
" [-1.99140538, -2.44175863],\n",
" [-2.37396126, -1.90332763]]), array([[ 1.09790652, -2.56363219, 2.62272519],\n",
" [-1.17325226, 2.53073242, -2.49247235]])]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168ab11d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.031608250656706208}\n",
"[[ 0.01040672 0.98043232 0.98045294 0.02558199]\n",
" [ 0.98959328 0.01956768 0.01954706 0.97441801]]\n",
"[array([[ 1.95863856, -2.4323066 ],\n",
" [ 1.29725725, 1.29857176],\n",
" [ 2.43125627, -1.95172388]]), array([[ 2.60363554, 1.11416206, -2.65643781],\n",
" [-2.49021505, -1.09446745, 2.43728256]])]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168d9b860>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.031173368398727086}\n",
"[[ 0.01325791 0.98116572 0.98116461 0.02288485]\n",
" [ 0.98674209 0.01883428 0.01883539 0.97711515]]\n",
"[array([[ 0.94818634, 0.94787128],\n",
" [-2.11042432, 2.38249017],\n",
" [ 2.38249803, -2.1105769 ]]), array([[ 0.68033473, -2.55026254, -2.63855001],\n",
" [-0.79177884, 2.68207786, 2.59393157]])]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168d9bdd8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.03154258548825048}\n",
"[[ 0.01070599 0.98053425 0.98054138 0.02528557]\n",
" [ 0.98929401 0.01946575 0.01945862 0.97471443]]\n",
"[array([[ 2.42644979, -1.97438771],\n",
" [-1.97687282, 2.42683032],\n",
" [ 1.25642219, 1.25681975]]), array([[-2.50547448, -2.4802892 , 1.03686812],\n",
" [ 2.60455426, 2.62973858, -1.08774409]])]\n"
]
},
{
"data": {
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mbSqz4X7dkk5OnR9maGSs2aWYmS247Ib70k4Ajg969G5m7Sfz4f7m2YtNrsTMbOFlN9yXVML92OBQkysxM1t42Q33ZOT+U4e7mbWhzIb74s4OysU8b551uJtZ+8lsuAOsWtrJMYe7mbWhTIf7mmu7OHz6wswdzcwyJtPhvnZ5F6+duECE76VqZu0l2+G+osy5S6O+rruZtZ1sh/vyMgCvnTjf5ErMzBZWtsN9RRLuJz3vbmbtJdPhvvraReRz8sjdzNpOpsO9I5/jpmVd9B8/1+xSzMwWVKbDHeCvXL+YA28ONrsMM7MFlflwf98NS3nj1AUGh0aaXYqZ2YLJfLhvuH4JAC+++VaTKzEzWzjZD/cbKuG+/ydnm1yJmdnCyXy4r1xcYuXiEs8ePtPsUszMFkxd4S5po6SDkvolPVDj+Y9J+gtJo5I+2/gy504St69bxjOHTvkyBGbWNmYMd0l5YDtwD7ABuFfShqpubwCfB77b6AIb4SPrlnFscIjDp3xXJjNrD/WM3G8H+iPiUEQMAzuBzekOEfFaRDwHjM9Dje/YR961HICnD51sciVmZgujnnC/ETicWj6StM2apK2S+iT1DQwMzGUVc7J+ZTfXLenkiRePL9g2zcyaaUE/UI2IHRHRGxG9PT09C7ZdSdy1YSU/eGmAoZGxBduumVmz1BPuR4E1qeXVSVtL+dSG67g4MsafvbRwfzGYmTVLPeG+F1gvaZ2kIrAF2DW/ZTXeR9+9nBXdRR7bd6TZpZiZzbsZwz0iRoFtwB7gBeDRiNgv6WFJmwAkfVjSEeBzwLck7Z/PoueiI5/jMx9azeMvHuf4oO+rambZVtece0TsjohbIuLdEfFvk7aHImJX8nhvRKyOiHJELI+I981n0XO15cM3MR7B7z/1arNLMTObV5k/QzVt3Yoymz5wA9/50euc8q33zCzD2ircAX71zvVcHBnjm4+/3OxSzMzmTduF+3tWdvMP7riZb//oNfa9frrZ5ZiZzYu2C3eA3/j0e7luSSdffvRZzlzw9IyZZU9bhvvizg5+5+/exk/OXOSL3/0Ln9hkZpnTluEO8KGbl/Hv/vat/L9XTvIr/7mPi8MOeDPLjrYNd4DPfmg1X/3Mrfyw/wR/6z8+xaEB30jbzLKhrcMd4HO9a3jk8x/m2OAQv/zNH7L9yX4ujXoUb2atre3DHeAX37uS3V/6BX5h/Qq+tucgd/72D/iDp17lwvBos0szM5sTNevuRL29vdHX19eUbV/JD14a4HeeeJm9r51mcanAp99/HZs+cAN3vGs5xYLfC82suSTti4jemfoVFqKYVvLxW3r4+C097Hv9FN/788Psef4Yj+07wqKOPB9et4y/+u7l3Lp6Ke+7YSlLF3U0u1wzs5o8cp/B0MgY//flE/zw5QGeeuUk/cff/tD1pmVdvGdlNzcv72Lt8jJrV5S58ZpF9CwusaSzgKQmVm5mWeSRe4N0duS5e8Mq7t6wCoCT5y6x/yeD/PjoWQ78ZJBDJ87z9KGTXKj6KmWpkKNncYmVi0us6C5xTVcHSzo7WLKogyWdheR3B4s7C3QVCywq5ujsyNPZkWdR8juf85uDmc2Nw32WlneX+NgtPXzslrfvJBURDJy7xGsnLvDm2YsMvHWJ429d4vjgUKX95HkGj4wyODRy2ZvAlRQLOToLORYV85QKeTryoiOfo5D87silHudFIZejo5CjI6dUe46cRE6QzwlJ5HMkbSKfqzyXyyXLEkr65iRyuUrblD6p1+eS/gIqf6hU+kqabNOU5VR70pfk8cR6cjlNWZ9U2V76dRN/FE1uP9WeS70uvc2JvjC1JlLrZXK7TD7H5HLt56vXk+6Lqttnfk31H3y1nk+vZ+p6p7Zb+3K4N4AkVi7uZOXizhn7joyN89bQKIMXRxgcGmHw4igXR8a4ODLGUPJzcXhieXxyeWh0jNGxYGRsnNHxyu+RsXGGR8c5f2mUkbFgdHyc0bFgeKzye3S88nwEjEUwHsH4OIxHMBZBk2bkrAnqekOofkOa8trp39jSy5e/VjO+RlUvTr8vpd+iprZPffOa/jW13+SmewOtXvd0661e95Tn6njN/Z9cz9/4wA01a2sUh/sC68jnWFYusqxcbHYpRATjAWPjSfCnliOCsfG33wQm+6TeHMbHK/2DSp+Y7nFqW0xpe7s9qDROtI9HTL4ueVmlLbW+9DomHyfrH0/euaprGk+tL3k0uc6Jx0mVVctTO6T7R422qctT30Ujpl//dNtPH7N6X5Ouud6+1c9PHJP0fsym5un/ba68rqo9qFonTO01Tb90n6jdv7rj1NdEzfYrb2f616QbFuLLGA73NiaJfDIFY2bZ4i9um5llkMPdzCyDHO5mZhnkcDczy6C6wl3SRkkHJfVLeqDG8yVJf5g8/4yktY0u1MzM6jdjuEvKA9uBe4ANwL2SNlR1+wJwOiLeA3wD+EqjCzUzs/rVM3K/HeiPiEMRMQzsBDZX9dkMfDt5/BjwSfkUOTOzpqkn3G8EDqeWjyRtNftExChwFlhevSJJWyX1SeobGBiYW8VmZjajBT2JKSJ2ADsAJA1Ien2Oq1oBnGhYYa3B+9wevM/t4Z3s8831dKon3I8Ca1LLq5O2Wn2OSCoAS4GTV1ppRPRc6fkrkdRXzyUvs8T73B68z+1hIfa5nmmZvcB6SeskFYEtwK6qPruA+5LHnwWeiGZdKN7MzGYeuUfEqKRtwB4gDzwSEfslPQz0RcQu4PeB70jqB05ReQMwM7MmqWvOPSJ2A7ur2h5KPR4CPtfY0q5oxwJu62rhfW4P3uf2MO/73LTb7JmZ2fzx5QfMzDKo5cJ9pkshtCpJayQ9KemApP2S7k/al0n6U0kvJ7+vTdol6ZvJv8Nzkj7Y3D2YG0l5SX8p6fvJ8rrkEhb9ySUtikl7Ji5xIekaSY9JelHSC5I+2gbH+NeS/9PPS/qepM4sHmdJj0g6Lun5VNusj62k+5L+L0u6r9a26tFS4V7npRBa1Sjw6xGxAbgD+GKybw8Aj0fEeuDxZBkq/wbrk5+twO8ufMkNcT/wQmr5K8A3kktZnKZyaQvIziUu/gPwvyLiZ4APUNn3zB5jSTcCXwJ6I+L9VL6UsYVsHuc/ADZWtc3q2EpaBvwW8BEqVwf4rYk3hFmr3LarNX6AjwJ7UssPAg82u6552tf/BtwNHASuT9quBw4mj78F3JvqP9mvVX6onDPxOHAn8H0qt5w8ARSqjzeVb2t9NHlcSPqp2fswy/1dCrxaXXfGj/HE2evLkuP2feDTWT3OwFrg+bkeW+Be4Fup9in9ZvPTUiN36rsUQstL/hS9DXgGWBURbyZPHQNWJY+z8G/x74F/Downy8uBM1G5hAVM3ae6LnFxlVsHDAD/KZmK+j1JZTJ8jCPiKPDbwBvAm1SO2z6yfZzTZntsG3bMWy3cM09SN/BfgX8WEYPp56LyVp6JrzdJ+uvA8YjY1+xaFlAB+CDwuxFxG3Cet/9MB7J1jAGSKYXNVN7YbgDKXD510RYW+ti2WrjXcymEliWpg0qw/5eI+OOk+aeSrk+evx44nrS3+r/FzwObJL1G5Uqjd1KZj74muYQFTN2nyf2t9xIXV6EjwJGIeCZZfoxK2Gf1GAPcBbwaEQMRMQL8MZVjn+XjnDbbY9uwY95q4V7PpRBakiRROdP3hYj4euqp9KUd7qMyFz/R/g+TT93vAM6m/vy76kXEgxGxOiLWUjmOT0TE3wOepHIJC7h8f1v6EhcRcQw4LOm9SdMngQNk9Bgn3gDukNSV/B+f2OfMHucqsz22e4BPSbo2+avnU0nb7DX7A4g5fGDxS8BLwCvAbza7ngbu11+j8ifbc8Czyc8vUZlvfBx4GfjfwLKkv6h8c+gV4MdUvo3Q9P2Y475/Avh+8vhdwJ8D/cAfAaWkvTNZ7k+ef1ez657jvv4c0Jcc5z8Brs36MQb+NfAi8DzwHaCUxeMMfI/K5wojVP5K+8Jcji3wj5P97wf+0Vzr8RmqZmYZ1GrTMmZmVgeHu5lZBjnczcwyyOFuZpZBDnczswxyuJuZZZDD3cwsgxzuZmYZ9P8B/S1MRNFaFF0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168b591d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.031525533033675182}\n",
"[[ 0.01074898 0.98057629 0.98056179 0.02524762]\n",
" [ 0.98925102 0.01942371 0.01943821 0.97475238]]\n",
"[array([[ 1.97510636, -2.42520404],\n",
" [-1.25432208, -1.25347711],\n",
" [-2.42596987, 1.98011715]]), array([[ 2.6373461 , -1.08073471, 2.5626286 ],\n",
" [-2.47595591, 1.02462783, -2.55069231]])]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168b595c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.031683047301714236}\n",
"[[ 0.01018743 0.98029666 0.98032557 0.02578303]\n",
" [ 0.98981257 0.01970334 0.01967443 0.97421697]]\n",
"[array([[-2.43573983, 1.93739017],\n",
" [ 1.94743329, -2.43717401],\n",
" [ 1.31728188, 1.31872773]]), array([[ 2.62528113, 2.58070129, 1.19489233],\n",
" [-2.45354582, -2.49815408, -1.102795 ]])]\n"
]
},
{
"data": {
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nfjUw6O473X0YeABYV6XenwJ3Aaca2L5Jm90ZhHtP2IsvPTBsWD13EUmxOOG+GNhdsbwnLCszs6uApe7+vxvYtoaYO6MU7mN78Oq5i0iaTfqCqpllgL8EPh+j7kYzGzCzgaGhocnuOpYbLp4PwLvmd40p1wVVEUmzOOG+F1hasbwkLCuZCVwK/NDMXgOuATZXu6jq7pvcvd/d+3t7eyfe6rPwux9YzpNf+DAfW71gTLkuqIpImsUJ92eBlWa23MzagfXA5tJKdz/i7j3u3ufufcDTwFp3H5iSFp+lXDbDsnmdtGXHHqp67iKSZnXD3d3zwK3Ao8B24EF3f8nM7jSztVPdwEYpPW+mRHeoikia5eJUcvctwJZxZbfXqHvd5JvVeHM6x15QVc9dRNIs1XeoVppXMVtmeltW4S4iqdYy4T67c3RYZkZHTu9QFZFUa5lw78hly597utrJFx13BbyIpFPLhHul3pnB3aqaDikiadWa4d5VCneNu4tIOrVUuK8K38y0oDt4FLDG3UUkrWJNhUyLh37vWp574zCvHzgOjD5ETEQkbVqq5z5zWhsfuqiXXHi3ar6ocBeRdGqpcC8pPYqg9LJsEZG0adFwN4Dyy7JFRNKmRcM97LlrzF1EUqolwz2XCXrumi0jImnVkuHelgsOW7NlRCStWjLcp4WPIjg1XGhyS0REpkZLhnvpIWJHTo40uSUiIlOjpcP9sMJdRFKqJcO99FamwycU7iKSTi0Z7tPbsrRnMxqWEZHUaslwNzO6O9s4cnK42U0REZkSLRnuALOnt2lYRkRSq2XDvXt6m4ZlRCS1YoW7ma0xsx1mNmhmt1VZ/8dm9rKZvWBmj5vZhY1vamPN7mzjkHruIpJSdcPdzLLA3cCNwGpgg5mtHlftOaDf3S8HHgb+rNENbbT5s6bx1pGTzW6GiMiUiNNzvxoYdPed7j4MPACsq6zg7k+4+4lw8WlgSWOb2XgXzu3k0IkRDc2ISCrFCffFwO6K5T1hWS23AN+bTKPOhQvndQLwxoETdWqKiCRPQy+omtkngX7gz2us32hmA2Y2MDQ01Mhdn7UL580A4PWDx5vaDhGRqRAn3PcCSyuWl4RlY5jZDcCXgLXufrrahtx9k7v3u3t/b2/vRNrbMMvmBj3319VzF5EUihPuzwIrzWy5mbUD64HNlRXM7Erg6wTBvq/xzWy8GR05ero6NCwjIqlUN9zdPQ/cCjwKbAcedPeXzOxOM1sbVvtzoAt4yMyeN7PNNTZ3Xumb18mu/RqWEZH0ycWp5O5bgC3jym6v+HxDg9t1TqxaOJPvPvdLikUnE76dSUQkDVr2DlWASxd1c/R0njcOamhGRNKlpcP9kkXdALy490iTWyIi0lgtHe6rFs5kRnuWp3ceaHZTREQaqqXDvS2b4ZoV83hqcD/u3uzmiIg0TEuHO8CHV83n9QMn2Lb3nWY3RUSkYVo+3D9x+SLacxke3rq7fmURkYRo+XDv7mxjzSUX8O2f7uWIHgEsIinR8uEO8PvXvYujp/Ns+qdXm90UEZGGULgDFy+cxdr3LuLv/mkXrw4da3ZzREQmTeEe+vLNFzO9LcsXHvoZI4Vis5sjIjIpCvfQ/JnTuHPdJfz0jcPc/t2XNDVSRBIt1rNlWsW6KxbzyltHueeHrzKjPcuXfu1izPTMGRFJHoX7OF/42Hs4OVzgG0/tYvehE9z165czu7O92c0SETkrGpYZJ5Mx7vjEar78axfzg1f28fGvPMnDW/dQLGqYRkSSQ+FehZnxmQ+u4Fu//8+4YNY0/v1DP+PjX3mSb/74NY6dzje7eSIidVmzLhz29/f7wMBAU/Z9NopF55EX3+TvntzJi3uP0JHL8MGVPXx09QKuXdHD0rnTNS4vIueMmW119/569TTmXkcmY6x97yI+cflCnt99mO8+/0v+8eW3eWx78DbBnq52rlo2h1ULZ/Hu+V28q3cGK3q6mN6ebXLLRaSVqec+Ae7OjrePMvDaIX76+iGe232Y1w8cp3JYfk5nGxd0T2dh9zQu6J7G/JkdzOlsZ3ZnG93T25jd2c7s6cHnzo4s7dmM/gIQkbrUc59CZsaqC2ax6oJZfPKaCwE4NVLgtQPHGdx3jNf2H+fNI6d468gp3jxyiud3H+bg8eHIbWYzRmdbluntWTrbs0xvz9FZ+tyWpT2XoT2boS2boS1ntGUrlrMZ2nMZ2rIWfs+QyxjZ8MvMyJqRzUDGgrJMplRmmFH+XFlermvBXzAWHnvwHYzgZ6Fy/Wi5AViwz2o/iwWfMzW2abV+Vr8ERepSuDfItLZsOfCrGSkUeefkCIdPjnD4xAhHTg5z+ETw+eRIgRPDeY6fLnByuMCJkQInh/OcGC5w9FSeoaOnGS4UGSkUGck7I4Uiw/kiw4Xgq1Xvt6rMeBtTbjXKS2XVf7Ba3fH1z3aftbc/8W2OFsfZRmX52e2TMeVVi2OvH7//iW+jXjvqb6RujQa0o15b1r9vKZ/54IoYW5k4hfs50pbNMK+rg3ldHQ3fdqEYBn6hyEi+yEghWC4UnaIHX4Ui5eVC0Sm4Uyx6WEaN8uDnSttwByf87uAEQ1Tl7+WyinoEBUWvrDv6s+HqYPvjfpawTtGrb7Ok8ndb5S86r1hT3l6MujU+jrlr2WvWid7/eN7g46DGPuO0K9a/TTUxOhf1qsQZHq6/jfOjHXEq9UxBDowXK9zNbA3wVSALfMPd/8u49R3A3wO/AhwA/rW7v9bYpkotwfBLlmltuogrIoG689zNLAvcDdwIrAY2mNnqcdVuAQ65+7uBvwLuanRDRUQkvjg3MV0NDLr7TncfBh4A1o2rsw747+Hnh4GPmK56iYg0TZxwXwxUvoNuT1hWtY6754EjwLzxGzKzjWY2YGYDQ0NDE2uxiIjUdU4fP+Dum9y93937e3t7z+WuRURaSpxw3wssrVheEpZVrWNmOaCb4MKqiIg0QZxwfxZYaWbLzawdWA9sHldnM/Dp8PO/An7getuFiEjT1J0K6e55M7sVeJRgKuS97v6Smd0JDLj7ZuC/At80s0HgIMEvABERaZJY89zdfQuwZVzZ7RWfTwG/0dimiYjIRDXtwWFmNgS8PsEf7wH2N7A5SaBjbg065tYwmWO+0N3rzkhpWrhPhpkNxHkqWpromFuDjrk1nItj1puYRERSSOEuIpJCSQ33Tc1uQBPomFuDjrk1TPkxJ3LMXUREoiW15y4iIhESF+5mtsbMdpjZoJnd1uz2NIqZLTWzJ8zsZTN7ycw+F5bPNbN/NLNfhN/nhOVmZn8d/ju8YGZXNfcIJsbMsmb2nJk9Ei4vN7NnwuP6h/CuaMysI1weDNf3NbPdk2Fms83sYTN7xcy2m9m1aT7PZvbvwv/T28zsfjOblsbzbGb3mtk+M9tWUXbW59XMPh3W/4WZfbravuJIVLjHfLZ8UuWBz7v7auAa4A/CY7sNeNzdVwKPh8sQ/BusDL82Avec+yY3xOeA7RXLdwF/Fb4b4BDBuwIgXe8M+CrwfXdfBbyX4PhTeZ7NbDHwb4F+d7+U4C739aTzPN8HrBlXdlbn1czmAncA7yd43PodpV8IZy14PVoyvoBrgUcrlr8IfLHZ7ZqiY/0u8FFgB7AwLFsI7Ag/fx3YUFG/XC8pXwQPoXscuB54hODVlPuB3PjzTfD4i2vDz7mwnjX7GCZwzN3ArvFtT+t5ZvRx4HPD8/YI8PG0nmegD9g20fMKbAC+XlE+pt7ZfCWq5068Z8snXvin6JXAM8ACd38zXPUWsCD8nIZ/i68A/wEohsvzgMMevBMAxh5TrHcGJMByYAj4b+Fw1DfMbAYpPc/uvhf4C+AN4E2C87aV9J/nkrM9rw0730kL99Qzsy7gW8Afufs7les8+FWeiulNZnYzsM/dtza7LedYDrgKuMfdrwSOM/qnOpC68zyH4E1ty4FFwAzOHLpoCef6vCYt3OM8Wz6xzKyNINj/p7t/Oyx+28wWhusXAvvC8qT/W3wAWGtmrxG8uvF6grHo2eE7AWDsMaXlnQF7gD3u/ky4/DBB2Kf1PN8A7HL3IXcfAb5NcO7Tfp5Lzva8Nux8Jy3c4zxbPpHMzAgenbzd3f+yYlXls/I/TTAWXyr/VHjV/RrgSMWff+c9d/+iuy9x9z6C8/gDd/8t4AmCdwLAmceb+HcGuPtbwG4ze09Y9BHgZVJ6ngmGY64xs87w/3jpeFN9niuc7Xl9FPiYmc0J/+r5WFh29pp9AWICFyxuAn4OvAp8qdntaeBx/SrBn2wvAM+HXzcRjDc+DvwCeAyYG9Y3gplDrwIvEsxGaPpxTPDYrwMeCT+vAH4CDAIPAR1h+bRweTBcv6LZ7Z7E8V4BDITn+jvAnDSfZ+A/Aa8A24BvAh1pPM/A/QTXFUYI/kK7ZSLnFfjd8PgHgd+ZaHt0h6qISAolbVhGRERiULiLiKSQwl1EJIUU7iIiKaRwFxFJIYW7iEgKKdxFRFJI4S4ikkL/H1M1DeNepIEaAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168e1c710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.029568589776941649}\n",
"[[ 0.01511589 0.98320551 0.98320552 0.01904326]\n",
" [ 0.98488411 0.01679449 0.01679448 0.98095674]]\n",
"[array([[-1.68718666, -1.68717444],\n",
" [ 1.83309543, 1.83310216],\n",
" [ 2.30099652, 2.30099339]]), array([[-1.62268664, 1.73477196, -2.79082854],\n",
" [ 1.45111486, -1.79528538, 2.86262592]])]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168d4edd8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.029539589789047232}\n",
"[[ 0.01679547 0.98104616 0.98492497 0.01677683]\n",
" [ 0.98320453 0.01895384 0.01507503 0.98322317]]\n",
"[array([[-1.79884923, 1.79823306],\n",
" [ 1.70777996, -1.71099719],\n",
" [-2.30993664, 2.31112542]]), array([[-1.80202919, 1.54409123, 3.00612475],\n",
" [ 1.65069614, -1.6289642 , -2.64412463]])]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168c15c50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.030909668962820103}\n",
"[[ 0.0182439 0.98169159 0.98170459 0.01828506]\n",
" [ 0.9817561 0.01830841 0.01829541 0.98171494]]\n",
"[array([[-2.29039539, 2.29288139],\n",
" [-2.27465684, 2.27075963],\n",
" [-0.32154128, 0.36092221]]), array([[-2.72086854, 2.66959205, 0.15999313],\n",
" [ 2.69089272, -2.65182681, -0.25901182]])]\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168b15240>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.030990839306405914}\n",
"[[ 0.01813026 0.98143277 0.98141819 0.01828576]\n",
" [ 0.98186974 0.01856723 0.01858181 0.98171424]]\n",
"[array([[-2.29004145, 2.28505435],\n",
" [-2.28251732, 2.28899117],\n",
" [-0.12602234, -0.07785231]]), array([[ 2.6566979 , -2.65259994, -0.16570456],\n",
" [-2.7076025 , 2.70871881, 0.10802586]])]\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168b9b710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.031172163993440746}\n",
"[[ 0.01323903 0.98116568 0.98116371 0.0228989 ]\n",
" [ 0.98676097 0.01883432 0.01883629 0.9771011 ]]\n",
"[array([[-2.10901333, 2.38250007],\n",
" [-0.95006233, -0.94990313],\n",
" [-2.38264612, 2.10972493]]), array([[-2.61208829, -0.73383215, 2.5480982 ],\n",
" [ 2.62017598, 0.74351283, -2.6841455 ]])]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168abd828>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.032040197611202727}\n",
"[[ 0.01980879 0.99050958 0.97326637 0.0205133 ]\n",
" [ 0.98019121 0.00949042 0.02673363 0.9794867 ]]\n",
"[array([[-2.46362625, -1.95001825],\n",
" [ 1.42435576, -1.41739194],\n",
" [ 1.80506112, 2.35899248]]), array([[-2.55030002, -1.29993761, -2.61261471],\n",
" [ 2.50032809, 1.30450224, 2.46367636]])]\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5168cd7978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'iterations': 1000, 'cost_function': 0.031513758450649069}\n",
"[[ 0.01084562 0.98057713 0.98059074 0.02515126]\n",
" [ 0.98915438 0.01942287 0.01940926 0.97484874]]\n",
"[array([[ 1.23841713, 1.2391942 ],\n",
" [-1.98703322, 2.42462157],\n",
" [ 2.42389936, -1.98229619]]), array([[ 0.94829548, -2.58994826, -2.57924959],\n",
" [-1.13555925, 2.52750395, 2.53819839]])]\n"
]
}
],
"source": [
"from mlp import MultiLayerPerceptron\n",
"import numpy as np\n",
"#mlp = MultiLayerPerceptron(L=1, n=[2, 1], g=[\"sigmoid\"], alpha=0.1)\n",
"\n",
"X = np.array([[0, 0],\n",
" [0, 1],\n",
" [1, 0],\n",
" [1, 1]])\n",
"\n",
"Y = np.array([[0, 1],\n",
" [1, 0],\n",
" [1, 0],\n",
" [0, 1]])\n",
"#Y = np.array([[0],\n",
"# [1],\n",
"# [1],\n",
"# [0]])\n",
"\n",
"for i in range(15):\n",
" mlp = MultiLayerPerceptron(L=2, n=[2, 3, 2], g=[\"tanh\", \"tanh\"], alpha=1, w_rand_factor=1)\n",
" mlp.use_regularization(lambd=0.01)\n",
" #mlp.use_rmsprop()\n",
" res = mlp.learning(X.T, Y.T, 4, max_iter=1000, plot=True)\n",
" print(res)\n",
" print(mlp.get_output())\n",
" print(mlp.get_weights())\n",
"#mlp.set_all_training_examples(X.T, Y.T, 4)\n",
"#mlp.prepare()\n",
"#print(mlp.propagate())\n",
"#for i in range(100):\n",
"# print(mlp.back_propagation())\n",
"# mlp.propagate()\n",
"#print(mlp.propagate())\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 0.06521739]\n",
" [ 0.02173913]\n",
" [ 0.89130435]\n",
" [ 0.02173913]]\n",
"1.0\n"
]
}
],
"source": [
"import numpy as np\n",
"\n",
"a = np.ones((4,1))\n",
"a[0] = 3\n",
"a[2] = 41\n",
"res = np.zeros((4,1))\n",
"res = a / np.sum(a)\n",
"print(res)\n",
"print(np.sum(res))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0048747400000000007"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sum(np.array([ 0.00015156, 0.00015268, 0.00015293, 0.00015146, 0.0001536, 0.0001529,\n",
" 0.0001529, 0.0001523, 0.00014965, 0.0001527, 0.00015024, 0.00015229,\n",
" 0.00015458 ,0.00015043 ,0.00015286, 0.00015533, 0.00015488, 0.00015392,\n",
" 0.00015377 , 0.0001549 , 0.0001537 , 0.00015145 , 0.00014796 , 0.00014766,\n",
" 0.00014974 , 0.00015326 ,0.00014838, 0.00015275 , 0.00015331, 0.00015493,\n",
" 0.0001541 , 0.00015162]))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 1 -2 3 4]\n",
" [ 5 6 -7 8]]\n",
"[[1 0 3 4]\n",
" [5 6 0 8]]\n",
"[ 6 4 -4 12]\n",
"[ 6 4 -4 12]\n",
"n= False\n",
"[ True True True True]\n"
]
}
],
"source": [
"a=np.array([[1,-2,3,4],[5,6,-7,8]])\n",
"b = np.array(a)\n",
"a[:,1:].T\n",
"b\n",
"print(a)\n",
"print(np.maximum(a,0))\n",
"print(np.sum(a,axis=0))\n",
"s=np.sum(a,axis=0)\n",
"print(\"n=\",all_axis_equal(a))\n",
"a[a>0]=1\n",
"print(np.all(a,axis=0))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[1, 2]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a=[0,1,2]\n",
"a[0:1]\n",
"a[1:1+2]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1, 2],\n",
" [3, 4]])"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"np.reshape([1,2,3,4], (2,2))"
]
},
{
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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