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October 11, 2019 05:13
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# 1. Binary Classfication\n", | |
"\n", | |
"ex. Spam Detection, Facebook Feed" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.1 Basic idea\n", | |
"\n", | |
"step 1. Linear Regression : H(x)= Wx + b \n", | |
"\n", | |
"\n", | |
"step 2. Logistic/sigmoid fucntion(sig(t))\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.2 Sigmoid Function\n", | |
"\n", | |
"- if sig(t) >= 0.5 then 1\n", | |
" sig(t) < 0.5 then 0\n", | |
" \n", | |
" \n", | |
"- Range of X be total real number \n", | |
"\n", | |
"\n", | |
"- Range of Y be [0, 1]\n", | |
"\n", | |
"\n", | |
"- Since Scale might diffrent each by X, So regularization.\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.2.1 시그모이드 함수 구현" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pylab as plt\n", | |
"def sigmoid(x):\n", | |
" return 1 / (1 + np.exp(-x)) # numpy의 broadcast로 x에 배열을 넣어도 알아서 처리해준다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"x = np.arange(-5.0,5.0,0.1)\n", | |
"y = sigmoid(x)\n", | |
"plt.plot(x,y)\n", | |
"plt.ylim(-0.1,1.1) \n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
" " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.2.2 신경망에서 활성화 함수로 비선형 함수를 사용해야 하는 이유\n", | |
"- 선형 함수를 이용하면 신경망의 층을 깊게 하는 의미가 없어진다.\n", | |
" - 층을 아무리 깊게 해도 은닉층이 없는 네트워크로도 똑같은 기능을 할 수 있다.\n", | |
" \n", | |
" \n", | |
"- 예) $h(x) = cx$를 활성화 함수로 사용한 3층 네트워크 \n", | |
" - $ y(x) = h(h(h(x))) = c * c * c * x = ax, \\ \\ \\ast a=c^3$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.3 Logistic Model\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": { | |
"image/png": { | |
"height": 300, | |
"width": 500 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image(\"./logistic.PNG\", width=500, height=300)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.4 New Cost Function\n", | |
"\n", | |
"Logistic Model cannot use **Gradient Descent Model** since it is non-convex.\n", | |
"\n", | |
"**Required New cost Function**\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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6CYQBf2J/0ja+QKzaxcyuQ+WqULOqablJSnuzP8GM6ctIz1Xl90VfBuYceWuTylT+ALN86XnrpMrnWpXy19iblrwks2v2J5c7VZthze/6+ar01o5qVI0Zb18FT9Oled3kRX1WdeSVqmS6J+m9javhQaOR5qE0GmIIzIun6DyzjvEG2g9x7xuOpiY9dpfVJLlKNuw6HB5nzh9+hi0rUEyfDSHp5RkE80s3HJDjCUF98Lnp9545E0MTZbX6lGP0XONLBrv6FAlg09M1u6+vCRjSazC1L+yPwrwX71Lm7Tv8dGCGUwYYDh14zZ+Tn27TxYC8zx/ojta/P/3spHssZLBKlp63TvT8rusavXTBmzdkr3mWRrHvlbbi6HYNIKL/75CpxBjSDNtGNb6vr8Xnff1u6Tn0u+ban6gS8n4lhj9Md8YPlC8NmOtqTapK2iKg77RxMjmoHmk5lkYzDEHGi8etcO7isLCOKzoIya6ttmUCwTyGIKuWPsEQ+PemNXAfuP/fTKuV9XJw1GQHwWzseuOqtRbKHmCc0Ec/rxZm5fDGVd799Fe+DLolDQbzJoDIblrNeqZmf7IRU9ORda6Fc7tl0h9/8IGc2PYV73hTI2sFRCnnUOW/J1ve+bY/7QdCvS5cA4FX9j2OohUkSXrOOqnjngdl8okXUJuFj4zZjj1PzR96zXmCIlN+JJU9vfIlIVg33Xm0K0N8n1EZed/cU7Fa+nLyvkrPrbK7zA1f9hojktQqgxBC1UjLpTQaYQiyXjyDsgJNe2l0vxbNLBttFfK97jxWLbyOS9i9USbtF0FqlyET8CcV5C5DELxwgheuK/gM7yPPwiEO09R8Q6AygYBez7ArDZrPiP2//7z+9UAwnzm7UE8pRjCi5Jd3sUDdBANBHggClVWyMcfUcKbVQ3+69mcrKf+G+TIjn5i0yO6GUq7MeeuU67pGJ1PWxQ21Xbb0j8+fT6I15MlKDpaLmI/F5P1i53FpcXnftM6VYgj8GXU+v7jKEYQQGkJaLqXRUkPgCr77Gvg8lyFwKc0QpJoFleOaeq0DerzDEPif+fnU2qmezPlLDPAjL68h5frcAeVem8At8zzzNrGba8scBGvSNOmacrRcFa659z/TC7J+eED2Tn4tV0CkWnxQ5DKkKs23/zozQMmdpiVLz1knen7XdY1MBb/3+fOjyQ8FyrOYCufJIfO+6QZVV94v/B13SrtO6RSaDyXOVoYQQlVKy7E02mkIsl6SA4Gc3WVIxw4ckBOuuW3N5w5lCOIvnaBWux/ExveH15S3b33m+YtLn/Fi5frcQVm1kYUNTdLLPFnm2rKC1yyjkSdfFg4Wes8xYXraBC3eEJhnEK3x9WtqP5/dQpU3TcuWnrNO9Pyu6xqViprh3PkxqwzNUd4UzpND5v3FG4LF5f3C3/G4evedXpYghFCV0jIojUYYgjw1sRFlHe98mWkNjRncpsGN91KKz3Ob9hLMfEFGA9egSdw+NhbY+veQP8jNPn+TZQzZEF2GzH0XMBKmy1D6jAzRLgyD+83zSu4yoSoeLIQ1rwWNkRmrMHyXIVdwqfc4kav7QvCdqafLUJ3o+V3XNRoVN8O582NYhi7GDBc2BEPmfTNWYXhDsLi8b9K08KDmiLQ766u0ECCEapOWY2k0wxAUDXazDEHqftN0G655YL8QSzME52KtAwn70+bnj8sRGPde2mkq+PKtQoE5Gm5QcZ7AJK58QZHpEpH0PLO7TKiKBerW2JeCxi53oJcmk4fCtAxqSLPzB4OK3ddWuYqWi55MkJ4+ANddYz64P71lopghGD7vFzceDg2Z91Vmyke7dWzospcxBAihmqTlUhrNMARWl558QXJ6sJYriHSZhtQXcFYA2Q/4/48f/kWsdSDP/gw5rrcVhsCsPj3ktKPDGAIzsDJ12lGHwSq0P1T+YMULiGZ2y9rPf0P2/vQH3j2ltzzEVc5873YN7WXPlE7kWh+CaUfd11a5hjAE+abBtSsn0lrH0s2wyRfZU5wuLu8b0536fc7UcHnfXgfBbh0bvuwNzVaeiSQ6pjrWWOmymMa0e9JyKY2GGAJP1sDTpWu3y0/PWXNG91YqXhW+oPo1WEtWbJDdvVWN7W5B1svMC6Y3TtqrH4cvKA2w7UCz9wI2C2l5x81dCmtysl6S5po+LytWPOSoWTP/ry+LIWrLjSEoEBjXr3B2oMW8/BLvW6edfVq2O7og5Qlgs4xGXiOSr/bcy0f+7Fdrgi5T4T2l1b7asud7j7w0CweMJg961+Gl3YqceSmXwapIet46SX+uVSupEkLLL6+c2z5YhuTKj1n5Jme+yrdo2OLyvsrZBXBEed+MX8i1rkNeDZEG4yw1sVpWL6oFCBWWluearxfV6oxaJS3L0miOIei9OLSQD14yg7IKf3vRqwF5AbfdT9MElQPHxVfQtYP2UL1anvzN7O6XlPXZGbXOLgUBarGatXrlPU+/i8BiVyl2TDnqLzg0KatS+uKaZn53n3drKlRnYGDtz9GykVx7b+cJ2wTatZW/9YO7jbuTn6up9R3oBtILitJrcvuyryf/eA5zf6MeUKzS89aJnt91XaOR+Q7ZeeeKnPvpdlm76mk57JoYwVNyflSZz9Q84Cqn7P3ZeSR5vE45eT/bDFeb96sxw3YaFHsPjJP0eaoJ0PTVn9RYj1aa3vpO0fTX7zEtNOMvfdZpNMgQhPKCvcN7twW19941BNKZgfbKK70a/lB+y8EPoyZixQbZdfhcrOYsOm4g+ThP9uqW8dkwEmurVf0XjrvmxxiCYQJk8795X371qzduIGsAnf9iz5h6NfJMtAVpm+x1PTtLpivP4Ivc1LqG+UAVeZ4OU5hRm5g86LH/zHsLSvnbvaDLtFDpvvjgdktaSCcG5IVrSfvGMm8LVRkDOhcjPXed6Pld1zU6hQbAlIeJK7H3ldyNzQ6KjaJ5Z7ArTHreMvlD82h03+LzvirxezyCvK/fvfSKhWHVvvK8ChkzWUfLI+rLfIcxBeMvfc5pNM8QNFp11ey0rEbJtN7kqF0PXtLlvxjtQNpdU1quzMttcTORDMrUUDoHiYZBUf7B6eFUuDmPry4gyi89d53o+V3X1WSlmsgKVFXe1xpMzX+qgdrjivO+KrlSYbEyhqBNLb7lKtm0Iv3Oap4b9vukAb6+L4p8901LQb7JMVBbpc84DQxBIZkathHX7LSqz6n27Z/00ihHs7wZcFxRemoQawKKqgMjO3jWAtl1TFGZrkLumpvfyNzhp/Otcu0rHLif83gNwEygV9b9DKOsAqxq2loO2nm/ajNXxbk0vyfnv2rzvqraWtOs1uTxljF6mr4DRq/D0nymRsDku2ErsvQ7qEZLP0d/5sm/egzPZPylzzcNDEFRhYOfR1eQmxmY8jeN1ye7/3ERVWewtHA0gYUWtlUWdlqomoJYa1yGDY7UvNif4yzQtRVm47bEfuQqv/VFuzv9dk5O7N7gPZdsk6bn0to7E+DVaQZUmgZ1oud3XVcbpPnIPMeya+/jMqZA00vzT54gJEkaCJkWDmf+qyjvq/S6TatcNWZAZXXdyuiOWK7iXcbqeaeY1gFnq2dHpfnMvKc0fVzHFFVRU2vMSPktYqgp0uebBoagsEYcoBduGi+oXv9807fW7rO8SjYenpUF3bZvYxjom22Oz+r16zUvnLyqPi21cFxMrUsR6bn0ZTdsEKYvBP3/xbVqxF/+Kc/Nkr44NBhbbFBXlvTa60TP77qutkgN8Khe9JpfNJhWYzBsVxDTKrYYQz1s3ldp3tfrLysoc6suQxAoGN+l6VKPIRimK+fC3HHZveErDeti5RhvFunWm7W/L2NCy+6yY75Peb6P+n0z19mEsr99WpD5c4dl14ZVvXTU8Y792S3rl15TGhiCTut9Obxtuxye8wJ+LbiWrpXvbdsmf3FcM3A4bmHVFtn1wx/IPp0G1gT8NbzEUFH1X0YD0/i2SFkFWNWMSzmoL/hRdgUY9lzlXOfweX94E1JEVqBYR1naq7gZvSEoHHTqxCF+C4/+TxPHXFjP0jlmrr/G0pIV7pnBtOJH/1+NUnxfGTKtzXlae00rX55jkS0zWYI1kcrCrBzeqOZgsTMtlid9tmlgCJAnU6jZzepmIPOk7JoJX6imtYL5s9GIlFWAVQ3lICpf3TUE2vKi962tta79fZk1hR6Stdv+IpxJsMmGIOnasvb3B/RW1a1PW2LypXn/Wug2VFDmOxU3hWZ9rYZMCKPPNg0MAXIH+v622BL7/uDmbk+Vh0arrAKsaigHUfkKK1u8vFVL5UqNhsDUVmcFnAuzr8jGjT+SE36NenZQXZ/Ms0xKS7Pf/d7UVhJND1WVLXjmHFktYPkNG7Jlpmse/D6b59+MvKvPNg0MAQoD/WiGHZwO1PR7raffKeqmsgqwqqEcROWr2YZgYe6EvLLLdNNR6XoR+8LgPHpsUJN/INJvekBWK4gGmrqt2BiNBhsCk5ZJLT1m7aKEGmJTe5/eXci0lugz856FvTaS7tMZt2LpHJcxYlmtEGYgssq1fzTSvviv9taNWrp2t8xEumL1vz/NWMsjLX+afTV912PS60gDQ9B5uQJ917bwS1hHEzfqrLIKsKqhHESlqxeQ1xTgphiC3oKSG0ztvAZn+4JgdGDaVjOrnNVv2g5QHX3q9fukKtZHvbmGILlmOLo/6b1pauTTBv0unNstk376mhX0zXOz0jojbcyg5ayWGTOeQeXaPxLNH5ftXv6bmb8Wjr9w3FuhVq74JAN5lTe/pbUC1TuBQFx6X2lgCDqvsLCN1GA4gn+7JuTKjOzb+BeN6BOHxltZBVjVUA6i0mVqjeuq3UwKpsyCkgO12SbwjwW+5nMGjk8OkIJAq+iCeU01BHkDzeTrLja7kDlfkK6Becs3g1Ye46GyDcHiZrkrSea7Eg+mw7zXhFr3/vcpwxA0YByBPtc0MARdl+uL5fyy9WdLaPOsNahdyirAqoZyEJWtXq1xwwxBam23+R87qEnsDtMVQ2CuK6mWOq3mOJDpypO7C5Xp3vvDA7J38mu5p9NtrSFw5TuVnw751hapXL3vE4YAIYQqU1YBVjWUg6hs9Q1BVneHvDXQcWUEzk5DYM6V9L8muLX+JylYcx0bylzjaAyBuY54+mQp67mESrz/2P6UzytsCHqfGR9LkK7WGgJnXgoqJz9f1dpMRdV7JhmGgC5DCCE0vLIKsKqhHETlyg7ycwaeZcsZqGYF3a7abtNqrGMO9sk5f7yA6dduFrqMfo5+n1SjMQQVK2whSeq2kjV+QFV8QbLwORSsbW6vITDP3sp3fv5dU6B1oCJjbYQhQAih6pVVgFUN5SAqV1aAUFcXAqchMNdVoIUgst0KpJaulW37ToSDjKMyx7R/UHFWevWfc1o/97yBeqD+WI6iZrJVg4pjCoyVSeewdSAlTUcv8x1w5YV8+WBU0ueaBoYAIdRYZRVgVUM5iMqVCW41cG6SIRhiDEEYoK4q0HVjfKYdddRcF9ofKN+0oyovrXUl3M9/Q/b+9AdWgOw6dlCma1I7ph2NyW6J0YW+Vv1pbLarupUW9OfLB6OSPtc0MAQIocYqqwCrGspBVK6sGvW6uhAkGIJ+0B+fXrRfSxvpBhQev7SAIRhuJdwGGoKkNMy7P1S+hck8M+BP/Rp2k8noquSSOUfehcniLRZ5uj9VJpOWq7bIru+taZAptBQ+kwGTb67dMQVvHdJnmwaGACHUWGUVYFVDOYjKVd8Q1NWFIJiuUgPE+JSV1vSia38gx8OFyBbmjsp2XSQqHtT0gt4g2IzLNRudCTjzr4RrguHgPPZ11ad+OrkDfnt/9kw4xiQN1t73a57VDPXNWJiH/ODztzI/8yPZuDs5SDa1/tmtEMmGrWcIamnVskx0QwLrQTnG0yzMyfHta71tDZkNyZOmYRoYAoRQY5VVgFUN5SAqV/Uagl5g11O8K4MG4IejKw/rmIC9b4SDhu3PiwbrTsVaG7SG2uzT2vHo59mygsAE1WOo7CDdyN31Kml/XKbf/mDAblpGHpS1249aYzK8dNfuQ76p01WkX3U8m75Md6E84za++MUvOo+ttYWglw7NCazd0hWl9/VWWPZN3IZdcrhBU7TrdaWBIUAINVZZBVjVUA6iUmXVqtfVQlCa5t+WXWsfslYptvfNyD7fVAz2ndbAV+9f+8/b27ssUzOff7ahfNJWB/3cPIOW08xaYAgelMl9746+u46OG1jxUD3nHjPps00DQ4AQaqyyCrCqoRxEpapnCJo0QHYYmVrbpNpvU5M+aAhMtyENgu3tXZYG4GbAddbA37wyXYW01j+9NSaQdhPS4wfGdyzMyuGNqwqNFSlN4erZtZx7DKXPNw0MAUKoscoqwKqGchCVK9MVpu2GwNxHkiEI+1Q7BihrcGq6pmQNcu2SNF1MS4HW6A+7DoCmqekmpD/zmAH7mcQHNy/MviIbNztagSqRGs0J/7vx27njsltbmRo7bqB90uebBoYAIdRYZRVgVUM5iMpVvWMIylN/4OzA4OGFOTmxb5usXZq8mm6x+fe7JTUCagyKTc3al7Yw6P/nGTNgVFWXpeKKjR1Z8bQcrn0Q+fhI0zQNDAFCqLHKKsCqhnIQlatxMQQqHVT8huzbtSGcUcdIB7pOySsn5lJbQEwtdrEpSFHZsmd+ytOaUKl6XeqyB0uj4tLnnAaGACHUWGUVYFVDOYjKlel7Pw6GYHHS4NPu2kL3odFKuwaZloFGmAFUubLepxgChFBjlVWAVQ3lICpX1rSVdS1M1jBp1xadeYjuQ6OVtsxoug/bNQm1TxgChFBrhSFA46Z6F3lqrqihHq1I7+4JQ4AQaq0wBGjs1Osnnb5gFUIIlSkMAUKotcIQoPGTGVg8OEc/QghVJQwBQqi1whCg8ZMZR9D2tQgQQm0ShgAh1FphCNBYynQbYmAxQmhEwhAghForDAEaT4Ur+dJtCCE0ImEIEEKtFYYAja3mj8u2FUtl6eQ+maWVACFUsTAECKHWCkOAxlcLMn9iu6xY8qBM7nuXsQQIoUqFIUAItVYYAjTeMl2HVsnGw7OYAoRQZcIQIIRaKwwBGn9dkXP7NsoKzxRs2HVYzs2zWBlCqHxhCBBCrRWGAHVFC3Mn5JVdG2QFMw8hhCoQhgAh1FphCBBCCKHFC0OAEGqtMAQIIYTQ4oUhQAi1VhgChBBCaPHCECCEWisMAUIIIbR4YQgQQq0VhgAhhBBavBZlCBBCqG7Viet6EEIIoTYqjXrftgAAAAAAUCsYAgAAAACADoMhAAAAAADoMBgCAAAAAIAOgyEAAAAAAOgwGAIAAAAAgA6DIQAAAAAA6DAYAgAAAACADoMhAAAAAADoMBgCAAAAAIAOgyEAAAAAAOgwGAIAAAAAgA6DIQAAAAAA6DAYAgAAAACADoMhAAAAAADoMBgCAAAAAIAOgyEAAAAAAOgwGAIAAAAAgA6DIQAAAAAA6DAYAgAAAACADoMhAAAAAADoMBgCAAAAAIAOgyEAAAAAAOgwGAIAAAAAgA6DIQAAAAAA6DAYAgAAAACADoMhAAAAAADoMBgCAAAAAIAOgyEAAAAAAOgwGAIAAAAAgA6DIQAAAAAA6DAtNgT/LAfX3S9LliyRJffvkJlb4WYQ+eigrNN08XT/jhlpX9Lc8m7hm8GzXXK/rDv4z+F2AAAAACibxRkCK/BcsuSbcvAjO/S0gzpP6w7KR+GecmiKIbghMztWhve5UnbM3Ai314jTENjX2QCjcGtGdtwfXMvg8ytoCOzPquAZ3PloRl6b3iHrlplzqL4g63b8WA4em/VStjpuzeyQ+8Nz5n1m9v+41SyTlXqPFT9baAmRfNC0io5o2ZqkZl0zAEAUDMGiwRAMRSsMwafy0bHvycowzdyqNrjGEGAIwANDUCLRd/PAdaW+1wFgXMEQLJq2GIKGUaYhqIQ7cmNmp2UGtEXgTZm9cSfY+9GMHNyxTpY13RDU+t3IxzD3CB2jTYag9Hdd2WAIAGCQGgxBPNj7lXw0s1c2rVwWbFu2Tnae/cgLx2w+9Y45KDvWfSH8v0dk09SL/f8ZCHr0+P8iU5seCY83/3OsF9D52Nev13djVo7Ggjy/u8jUplhg+GM5ePC491nv903JgMLPuPORzByMdzfxtHKTTL02Ix9FbtQyOZqeH/6zzOzpn3vZuhfk7EefhseGxD9fP9e63n5hnxRkD3FOP32tZ+Yf9x35TuLziBHJN3FpPvqkYB6J3YOVD9OfXzSXRbjzazn4uMlvy2TljrPeaz+OtiBsl022IfDy0LF49yJ9Jo6uRenX5n22/f2JKyXoyG8IktItyeQOm1eOyLT/vQqOC47dIdPH3pXZzHtMfrYiH8vssf1WuaByfM+Hum5oFBiCEskwBADQSWo2BMvkyyu/HAkUAk3I1Own/tFB0JXRbSMS9Hws70097vjMUCt3yowJFuzrX/nHsq4X4AYB850PD8rj8UC+J73ff7ICjbjCoDv2Iotr2eMH5cNe7GIHLstl5UrHZz8yJbPm+DsfyrGnbNMzqGKGIMc5vefx4cEnk9NXVaohyJNH3EFj9vNLucjINdrnSubOR0flKcskReWZiqeO9gxg9rXZaeBQ7YYgT17J+C6u2y9/n3mPCdeYlfdXfk+O9YL8otcNjaOoIdCKktd+FKm0CMzif5GZrEoVT5EKjsyW3wKGIPGdGf2M4P4G36Ef9lomdZtXpmzaO3g/vlE+GKsQ02N/JK/N/J0c6H0XHNJrT3uv503X+GeoCY9VXO2ZiVf8AUCd1GwIkrRMHpl6LygsPj4mm3oFtVfwHHzPKzo97rwnU4+EhZIV9NyZnZJHws/oB2B2YGJ9duT6bWnA/K5VQD8iTx37MCy87siN2WNeYfu98H6TgqcQ70W285s75GCv8PP+/7091svHTjc7cEmSCU7veEnzVD/YWvmUHJz92P+UfhoUNQRJsgLigs8jEfsFP3B8wTziDBrt55L2/NwU73ZzTY5tWh6ez2pRuPGPMtWrwf6CPH7w13oFua9tmO40kWt3qXc/CcF2Yp4ulj8jXa4irToasEzJpk2v+WVC+j26rjGe943JjxqQvtkumMeheRQxBJHvnEuPenn6d8GxOSpVChsCp8K8uxhD8OWVstIyLUaRSqWs+7l/QtZNpHwX0gxBkXSNfEaCCV/2pGcUaJkDaAq1txCs3HQwbN7/nVcgPto7PigQYy/+SC2e9ZLvBTifyOzURPgZsRe8Hciaa7Gv3wqoA+wAL+jK8ZqzRiMpeEojT8BlBds3zsqOgdqqaADaD449rPvqvzjzGIKscxZ9HinkNgRZeUSx78Hkw7zPz01hQ2Dnr2VPybGPzZliaebnvfzX1lxDsIj8GaO4IbA/e7lsOnYtOFSJGFZzfJHrhkaS2xBEy4hl6/bIew6zGHxHb8XGCVnm3K7gyMwbIzIEiTLvOvv958l+p914Tw5qi4H/3Y9+7kBaOq+xSLp62yOfkaT0cgEARksDxhD0+18PBgZpBZf1kncGOCkygax9/b3rM8QCOVuR5s4chkD7lR88ONCPevB/XMGP4jqHfWzsvNZ99dMsKd2LnLPo80ghtyHIyiOK6x7yPj83kaA6z/3YeSl+/MC+/NeWHiy7yX/tRZ69UuR4+9hY/oyRfo+uc6Z9tmtfkeuGRpLXEESOi5nFSJCv+/7Jev5ekLvpmBfeGvLn32g+8jTwLrFIfGdGPyO4v2h52+8GF2t9M9eXdu+Kth58b49XHqSV4x6uayyUrt6+yGdYRitiwvOXaQBQPd00BOZ4+/qdhfjHMnt0Z3SAaE+meTQtqPAK7kj3IJfs/ykSuKS8sKz76qdZUroXOWfR55FC5YZAyfP8Eojk7RzdSezj4/fj3Jfv2jAErnOmfbZrX5HrhkaS1xBEvrf2s1bsfKC100es/vTRciY9j8Wx85GnqgyB/bmR9AivL/XebdLKcQ/X5xRK1/fkTqH7BIAmsDhDEGmejwdN0ebL/he/SLAXrUlNrMHpBT12YVMwiEsrxBV/MNV0ZKBWcI1pQYXdteER2bTnbDimIel/igQuKd0mrPvKTvci5yz6PFIYiSGwSHx+CURqvawxARGsWYYSuwxFr9mZz1KuLT1YdhM5X25DYMY36OX8Qnb2+gqXkT9H2GUoEiiZ44tcNzQSDAGGAAAqZXGGILFfYbxm3K6NLRbs2QNklyx7XKbe0xBUB18edEw7Gm1KXbZupxy1xwWYKSEfDwtWu9AaKMS9Qm7TFpmKTE9pz7Bjghzb+MQDR7ugtAxKZHDWsAFX1HDZfTpnDz7VS4N+gVuGISj6PFKIBNzx2voyDEHe55dENC8Fff376xBoXopOURsNgNMHFee/tkh62zNkpZDfENjXnKRh82cs/SKDinUq0r29QcXp9+g6Z6zLVaFBxdl5HBpIXkPgCpQNA11b3k0xrXaeycob0SA3vyFIMuHm/goagkgFXcwo+3jv67/c65UHQxiCQuka7zKU9J1LeY4AMHIWaQg8Yn0CB+UFUlP/GARHPkWDvajpcCoS9MQGOblkCtYsQ9B7IThkBS6RgKYnvbfZ6CAvp+zCtWDgkpn2djqWYwiKP48kYgPgetJriK9DMKQhyPn8kskx5a11ffmnHS1wbZGXraWUoCO/IUgay2DPCrKI/Jn1XTT3kHqPCeccetrRPNcNjSOvISg0+PVWzFhaffTtCo7MvBENctO+m9GgPVnB/RU0BPGy2R5UfOcjObtznSzzy4PY58bLQmcwXyRdve0YAoDWsXhDoDjnJtbZYXTe4/jgzaKGwEM/31pIKKhtPCPT5iU/EPS4F0Pyu+1MTctBs0hUqiHQqRFfG/wMXWRqYFGrsMYzcv/hvcWvXQ3SziNycLsrECkeuNz56Kzssbqa+Isszfy4d1/9dCzLEHjE70nT5Oi07DBBXS5D4DGQNiq9hjIMQZHnl46/gFh8sbEwLw3k71wLkxW7tvgz9pUSdOQ3BEq0RSloVfsw4dkPE1i7v4vBwmT9NEm+x6RzKpqOQyxMluu6oVHEDIFb4TPMnB4zeZCrW1l5IxrkphqCxFa56NScwxkCj6x7D8uDxHVQ9BxJwXyRdMUQALSOcgwBgF3zxSJPAFAmRQyB4qykUrPoWJis1/0vPM4z5ntmrAqnUg2BR+R8WnE2JcciJnwRhsBHjXLSwmR2tz179f9QaYZAyZuuGAKA1oEhgILoS+o7sm7Hwf4LwHtJ+M3RfiGf1TcfAKDhpE6YAQAwfmAIoCCxWqu4cvXNBwBoAjdkZucm2TFtddWLVHB4osUTADoAhgAKogPu3hxsal62LvpSBQBoPLHuPnH1ZlIDABhvMAQAANBRXBNCqBLGGwAAjCkYAgAAAACADoMhAAAAAADoMBgCAAAAAIAOgyEAAAAAAOgwGAIAAAAAgA6DIQAAAEjg2rVrcv369fAvAIDxBEMAAACQwBNPPCFvvfVW+BcAwHiCIQAAAEjg+PHjGAIAGHswBAAAAAnYhmBmZkY2b97stxqoPvvsM3+b/n7ffff5P9PQYycnJ+W3v/2t/znvvPNOuAcAoF4wBAAAAAkYQ3Dr1i353Oc+1xtPsHXrVj/A121Xr171g/xTp075+9L48Y9/LAcOHAj/AgBoBhgCAACABIwh0IB/yZIlcunSJX+7blMD8NJLL8nExIRf42/Mgm67fPmy/3uc559/3j8WAKBJYAgAAAASsLsMLV++vBfM6081B/pTuw7ZqCFQA+Hi5ZdfltWrV/v7b968GW4FAKiXRhsCrY3psrqeBl2/fxVpQBpAvVy4cMEP/G/fvu0H8OfPn5e5uTl/m7YIrF+/3h87oMbghRde8P9HWwx0v2lNUG7cuOH/fffuXb9lwd4HAFA3jX7buF6OXVLX06Dr968iDUgDaC4a2Os4AoO2DOjf2gKgrQZqDAAA2kCj3zaul2OX1PU06Pr9q0gD0gCayx/+8Ac5c+aMP1vQxYsX/b+1xUC7GL399tuJ3YYAAJpGo982rpdjl9T1NOj6/atIA9IAAACgahr9tnG9HLukrqdB1+9fRRqQBgAAAFXT6LeN6+XYJXU9Dbp+/yrSgDQAAAComka/bVwvxy6p62nQ9ftXkQakAQAAQNU0+m3jejl2SV1Pg67fv4o0IA0AAACqptFvG9fLsUvqehp0/f5VpAFpAAAAUDWNftu4Xo5dUtfToOv3ryINSANoD3fu3Al/g7ahj+7yZZFbt8INAB2j0W8b18uxsFZukqnXZmTeKqfvzM/Ia1ObZKXr+AZJcW2vUsse2ylHZz/2zx3wscwe3SmPLXMfX6UU1/YuiTSoKQ2WPSY7js7KDf/syh25Mfum7HjsC+7jKxS0B9YdaCcvvSTy8MMizzwj8tln4UaAjtHot43r5VhEyx7bI+/dSKqx+Wc59Nj9zv8rrpWyYyYMHeYPyWPOY4pLcW2vTCt3yowzvbxgaGbnyA2U4treJZEGdaTBo973+Xf+eQe4cVZ2rFzm+J/qBO0BQ9AOrl4VOXMmMAD68+JFkdu3w50AHaXRbxvXyzG/JmRq9pPwkz6V+bMvhLXcj8imqWMye+PXGIKIlsumY9f8c8qdD+XYU4/IkmVPyqEPPw23vSdTj4w+EHJtL09fkMd2vOnlhdAE3ZiVozsek2X+Pi+f7Dnba1m6M39W9mzy0mTgM6qV4tpemiI14bFa8JWbZM/MvLdV8b5DM3tl04iDYZXi2l6Vlm06JkEbmXfPx77nGeEvyOOHfh2mwycyOzXh/L+qBO0BQ9Bs9PE88YTImjUily6FG6Fx3Lx501/te+vWrd5z4kGNika/bVwvx9x6ZEpmTTA3OyWPuI4JteyxHXKoF/goGhgdkyk7ANSuR8esLgQmeFz2lBz7uP+fPUowBoprezX6phyaDztPWtd+/44ZCbbekJkdK2P/U60U1/aytOzxQ/LhrXk5uzM0ASufkkOzv/bu80l56tiHcufOvMy8dkgOHfKkz76m2mHX9nIUBLq35n8hO30TsExWbjoks/NnPFPwH+XY/KdB9zq9/0OvybHZ33Wgpeh+eezQP/vnjLQi3r9DZsKvx62ZHXL/wP9VJ2gPGILmoY/kyBHxgkvxyrGgdQDqY2FhwQ/yL1y4IGfOnJHp6Wl56aWX5LnnnpPnn39eZmZmfOkxV65cCf8LRkGj3zaul2Ne9QPZ9Bq91G5Fd34thx7XQMmqPbe5NSM7vjAmhiAp4HnskMz7W+upGXVtL0f6TK/Kx8eeClsEQvVaRX7nGYNHreO1xel345UGvpm9Ksc2LY9s942SZum4AVKTfWscW4psWa19+v2+32zvG+asCoayBe0BQ9AcTp0SWb5cZGICE1AXp7yHsHnzZpmcnJT77rvPex7L/d+feeYZP+iHZtHot43r5ZhPdi1fWs22o5uM1pI+dbTXVSQIjq1g4MND8viyL8hjO38h85+agGEMugxlGoJb3q19c/D/KpTi2l6ONMD//wYNQdjVbDDoSzAQFavSNPBb0a4NGIJgu8MAJhiIqlVpGgwo2xCU+R3PI2gPGIL6uXmTbkF1oDX6L7/8sm8ANPAn+G8fjX7buF6O+bRMHpl6L0ef36RaP2v8gf/y9wzA1D9aM458LLPH9lszjnTBEHShhcAzgzvOyo07/0PmZ4/IpsjMSl1pIQgG1N65+qHMHo2ZH1oI/M20EEAS2g3iM6apqQUv6eX550Wmp0XoaVIu2qd/fn7eD/rPnj0r77zzjh/oaxcf7VKrLQG6TferKWb63XbS6LeN6+WYV/2BgWkz5OQ1BLpN+1f/KOhLHuzx/sl0KRoDQ5BQA9rveuWoSa5Yimt7WQrGEFgtQ9p//sYn8uGhJ+X+x38sZ4/qgFLr2I/HdQzBUXnKv69HZNOh9zxDpPl6pTw+fVKO+mljjv0n+bjzYwju1NJKBO2AFoLRc+CAyH33BT+hHHRAr9b0T0xMyOc+9zlZvXq1/7duV3MA40mj3zaul2NuRQb72nPpm5lltGZ0oh/IO7sMmZe/Bsv/o/8ZvQHLphuNZQg+PharWR5eimt7NXJ0nxr7WYbUBOyVmXlzj/Mys8esTxEahI8/lHPn5r2geUxnGUqdTSkwCB/P/6Ocm7/BLEP+tnpayqBZ3L59Wy5evOjXiNpgCEaDJrtOGaoDhc+fZ+2AImjevXr1qp9/tSuPDuzVAb1a468DfPVvbenSAb2///3vw/+CLtDot43r5ZhfdmDvIqjx7g2gdHHjH2XK7xZk1Z5HMLXmVjBtKKGlQHFtr0rJafGpX2s+ylpRleLa3iWRBjWkgW2EYwRjiBz/U6GgeRw4cMAP/q9fv+7XnBowBNWiXYG0NUC7BkE+zBSeTzzxRK9vv+ZZzcMANo1+27hejkWlU4pO2918PKIrFWtN8JQci6zOq3OuH7LGCMRqkj30Mw715qz35E9ZaT6jnIW8FNf26jR4nzq96rGaVnVWXNu7JNKgpjSIrMGg6LihqdpaSKBZqBEwYAiqR8cHaGvA668Hg4YhyrVr13r9++0pPPV33ab7tFUAII1Gv21cL8cuqetp0PX7V5EGpAE0Fw207BlUjhw54tfGYgzKwbQIvPxyuAH8Qeuax7SLj/bx1+k8dTYfrfGnfz8shka/bVwvxy6p62nQ9ftXkQakATQTDfp1mkUbjEA5aDK+9FKwhkBsmEYnUeOpNf5qALTLj3b/UUNwXgdQAJREo982rpdjl9T1NOj6/atIA9IAmsevfvUrP0DTAZq2CcAQDM/du0Hwr12DdMCw/q7buoJ2Q7t8+bI/facO7NX8pdKBvrpN99ld1QDKptFvG9fLsUvqehp0/f5VpAFpAM1Du2jo2AGVTslowBAMjy4mpsMxujRjkFnJ98EHH/TzkRqA+MxVAKOi0W8b18uxS+p6GnT9/lWkAWkA7QFDUAxNLl1ITFsF5oMVMMeOW7du+UH+uXPn/EG+GvRrdx8zvacO9mUhL2gCjX7buF6OXVLX06Dr968iDUgDaA8Ygvzo8AttXBnHJFMDoEG/9vdfs2aN/zvdfaDpNPpt43o5dkldT4Ou37+KNCANoD1oja/OAgNudBIcHR+gXYN0KtG2owZQg3+d2tPU/Js+/7qwF3kB2gRvGwAAgBKghSAZXQdrzZr2twjoNLNbt26NTPdJ4A/jAIYAAACgBDAEg+gYWR0joDNktqmrvOn7rwbAVfsPMG5gCAAAAEoAQxBFuwa1beYgrfHX+f4ffvhhfxAwff+hK2AIAAAASgBDEKAGQKcR1ZaBNqCtAOvXr/e7AelP/RugazTaEPz93/99p9X1NOj6/atIA9IA2kPXBxXroOF33gmMwOXL4cYGcffuXX+az1/+8pd+N6DnnnvOXwtAV/zV7QBdBkPQYHU9Dbp+/yrSgDSA9tDlFoLXXxe57z6Rt94KNzQI7fZjpgHVhcBoAQAYBEPQYHU9Dbp+/yrSgDSA9tBFQ6CtAjpOQA1BExpHbt++7Q8GPnTokG8CVLoo2OXLl1kADCAFDEGD1fU06Pr9q0gD0gDaQ9cMgc4gNDGh9x1uqBHt8qO1/2Yw8E11KgCQGwxBg9X1NOj6/atIA9IA2kNXDIG2BExPB4uMffppuHGEaE2/1vhr339tAdDxADodqJoCHScAAMXBEDRYXU+Drt+/ijQgDaA9dMEQ6CycOlagjkHDWuuvrQA6FkCNAGMBAMoDQ2Dr5EF5ccs6+dK6F+Xnrv0unZ2WLSu+Kuuf3Ss/O+vYvwjVkgYNUtfvX0UakAbQHrpgCLSL0KjjcDUCagBWr17tdwdiZWCA8hkjQ3BaDm5ZJUuWLAn0pS1y0A/Qz8rPX/y63GO2L1klWw6ejv3vWTk5vVUe/aNH5dt7fiZnI/vy6Ody8Nmvy5ce3SrTJ8869g+n4mkwXur6/atIA9IA2sO4Tjuq3YJ0KlEdPHztWrixQtQAaJcgXRlYjYD+ZFAwQLWMVwuB1tZ/6R5Zcs/X5cWf24G5MQsrZP3ev7W2hzq5R9YvX+nel1t/J288OyF/9NVn5Y2SWgqGSoPFKmwlWW4M1PJ1suXFg3LSdWzFquX+1RwefFG2rPtSaCDvkeXrtsiLB3/uOLZ61ZMGoU5Oy7N+OrhM9OhUXxpoXnhW1i33ypReBcPoBe1hHFsI9JZGNXBYZweanJzsdQliYDDA6BhLQ3DPQJef0BAMGAXV38re9Stl+fo9iw96/fM/IF999vUhWhkGNVQaLEZnX5dnv3q/3NNr6fg7+dmLT3jmIMFIVayR37+ns288K1+95355dMv+ID+cfUNe/LoXFC//tuwtsfUnr+pIA7/F64Vvy6P3pLWqjU61pIFnjF9Y/2i/ZRFDADkYN0Nw+nTQKlBlXD4/Py9nzpzxDYD+vDaKJggAGGC8DMHPX5R19zwg6158K7o90Sh48v8nKeAJugJpbfk9vZr/sHuR6zyme1JJwcNQabAInT24Rb40EPy9JS+ue8CddhVr1PffM47x55eUr0ag0adBmA/ueVTWP/v/yIvf1Za1rhmCIB/c8+h6eXbPC/JdbXXEEEAOxskQvPRS0E2oKt566y2/JWD9+vXhFgCokzEyBGEw7moF8AO6e+RLW6ZjNfcp/+Pp7MH/KP/+2dflbStQPvvGc/L1bye3JriD6uFUPA0Wo6RWlLTWlWo12vv3lGQc0wxlxRp5GkQUPvsuthAYhc8eQwB5GBdDoFOKPv+8SJkzeGr3HzNNqOqXv/wlXYIAGsT4DioekCuoCf8n62XvBwX/Uta9sEee/fr/ld51pMTa5OJpsBgFLQGDaWEGZY8+KBzt/XtKNI5JaVO9Rp4GEWEIMARQhCNHjrTaFOh46OXLgwXHykQNgLYGnDp1KtwCAE1jfAxBYi1uWg133kAvPC5PX/rEoLK4CqfBooQhwBDEhSHAEEAR2mwG9NK/+12RK1fCDYtAZwPSAcJqBLZu3SoffPBBuAcAmsr4GIKMYM7Z3SP3yz5nS4IKQ1CaRnv/njAEMWEIMARQhLYaAh0voC0DuujYYtGxAQ8//LC/XgAAtIcxMQQpQWtqgJ4z0Du5R7796JfkX+bpR99aQ5DUkpLWwlKtRnv/npJamRJbn6rXyNMgIgwBhgBc6FoDGvBevXo13BLQRkOg3YPUDCz20rU70H333ScTExOtbikB6CpjYgiSg9b0Qb7h/6W+7P9W9n77SXn2J897gX6OsQG+IWjjGIIkU5XSwlKxRnv/qgSDWOIzLarRp4EtDAGGAFzoVJlqBrRbjE3bAmGtxD90KPxjCNQYvfnmm7J582b/J4OEAdrLeBgCf2Ex76U9YAh0jYEVKQFNGAQn1n7rPPzflS06bsAPDP7Ir/l/+2cvyL9fv9sZILd3liFP4T0uX/esHLTXIbhnQp594+8Gj69YI79/T8Hz+5Kse3Y6sg5Bf9rZ0aqONOgLQ4AhgDTabAguXgzWGBiW119/3W8R0J8A0H7abwjMCzucTahfk22CmXCWoaSg36/9HQx4gsDQWqCqt0iXd47ewl394wPlaXHIr9xpUKLO/myPbO2t0qv3+m15oVOr9HrPee/3g9Vp/TTw8sD6vwoNkuv4alVLGvjfifB7E1E5XeGKavRpYFrLXGkwenMEzSVuCC5cuOCbAq05bzJqBvbvD/8oQLxFoOn3CQ1ATbKRfl+M3nkn0JkzgfR3XfjimWf6i2A891w5o9whF+MzqHhoBa0IpXSJ8c1Ji1cqbpi6fv8q0oA0gObSxhYCNQNPPBH+kRMN/NUE0CIAPprv33orkAbu2tSkWrNGZPVq8TJKMDBFf1eZ/SrNP/p/58+HHwZNAUPg6ezPXpCvL1+ZPaVoqv5O3nh2Qv6oxK4lo0yDJqrr968iDUgDaB5m/MD+/fvlilWD2XRDoHFckZaBTz75xJ86VO9T75cWgRajU0hp/tQpYDUjqDM0tfSnTwc/dUU6rZ3XVek0eNfftcZe/9b9x4+LnDsX/H7hQvA577/fbwEoY5oqqA0Mga+zcnJ6qzz6R1+VLdPDdI/5uRx89uvypUc3yZ6fldfXfrRp0Dx1/f5VpAFpAO2hyYZAfYtW1uZFpw9ds2ZN400OeMzMBLXuGrxrID852a+dX7Ys+Dkx0a+lN7X7GtADhGAIbJ08KC9u+bp8tUg/ae0mtOKrsv7ZvfKzkgcd1pIGDVLX719FGpAG0B6aHDxrN6G8l6dTqq72gsjr1PjWjz40Dd61tl6DeX2QScG+dt8xwT5AQTAEDVbX06Dr968iDUgDaA9NNATaMqAx5C9/GW5I4eTJk15cuVlOaxcSKIc7d4Kgfn4+qJFXaZcbrdU/ezbojvPCC0Ewr7+bQbW6T4/RY83/6boX+ll03YIKwBA0WF1Pg67fv4o0IA2gPRw5cqRRpkDNQJ5Fx3R8gLYIsLrwkGgCa638gQNBTb3W2D/8sMjnPhfU4Ksj0+26X49rUB4BMGAIGqyup0HX719FGpAG0B6aZAa0t4/GoGmVyTo4euvWrXLmzJlGXXut3LoVBOw6WNYMvD11KvipNfgqnQ5Ta/S1Bt9MmWlq8bUlQP//7t3wAwHaAYagwep6GnT9/lWkAWkA7aEpQbWaAJ35MW0IgE4fqq0CnV1dWGvqX3653y/frtHXbRr46zGsvgwdAUPQYHU9Dbp+/yrSgDSA9tAUQ/DjHyev56RTieo4gbFcT0DTX29ca+p1eky7Zt/00de/tX++qdU3/fK1rz9Ah2m0IQAAAGgLTTAEWqmtca8Lvb6JiYnGGJeh0Vp7vVEd82Bm3XnwwaDvvplphxmSAArRaEMwPz/faXU9Dbp+/yrSgDSA9nDhwoVaF+/S7KLx8e3b4QYLbRHQloE//OEP4ZaG8vvf92v5dWok7aNvz8Kj/fZVps/+tWvhPwLAYsAQNFhdT4Ou37+KNCANoD3UXfOuXd/j6AxCy5cv9382Eg3u9cJ1MS0d+GDm1NcZedrekgHQIjAEDVbX06Dr968iDUgDaA91GgKNq+Ndha5cueLF2PeJrjrcCExXHw34NfDXQbxqBHTu/fPnw4MAoA4wBA1W19Og6/evIg1IA2gPdRkCzSZ2V6G7d+965uB52b9//+i7MOn5tMuPBvjqUjTY12k6zWJb2lJx+XLQNQgAGgOGoMHqehp0/f5VpAFpAO2hLkMQ7yqkZmBki4xprb9279GafjNtp5qAprRKAEAuMAQNVtfToOv3ryINSANoD6M2BFoZr2ZAK+KV27dve39vrqaLkM7aozX/OtDX1PxrHyVT67+wEB4IAG0EQ9BgdT0Nun7/KtKANID2cOTIkZGaAu2Gr3G5Qc3AjHEHZaD3oo7DTOmpv9PXH2AswRA0WF1Pg67fv4o0IA2gPYzSDHjew19oV9GpRJ944gl5++23gw3DoC0AFy8G03xqn3+t/dfFu7RVgEW7AMYeDEGD1fU06Pr9q0gD0gDawygNgVbWG9QMDHVu7eqzfn1/uk8dCwAAnQRD0GB1PQ26fv8q0oA0gPYwKkOg44W1Ml/RbkI6iLgQ2q1ozZpgADAmAAA8MAQNVi1p8KvTMr3zSfnykiWyRPXlJ2Xn9Gn5levYilXL/Rv96pRMPbnSS4N/IztP/9p9zAhUTxpckV+dnpad/v1rPrhXvvzkTpk+Pec4tnrVkwYqTYcpefLL98qSlTvl9BXXMdUL2sMoDMEnnwSx/Pz8Nb9l4KJxBkmYaUC1+48OONi/PxgHwCBgALDAEDRYI0+DK38vU2sfkHsn/lJO/eqKt+2yvDP9f3rmYLVseXN28PiKNfL79zUnp3/yfZm4NzREHTQEV/5hStbe+4BM7DweGMEr/yDT6z1z8OXvy5t+vhj8nypVRxqoMf7Jlgm51xhjDAHkYBSGQGN6PY2agVT0IO1XpN2B9OeIWi8AoJ103hBceecnsl5rAO9dKztPmRrQX8vpnf8mCATuXS/Tc6MPglSjSgOjK6d3ysqBAPhdmX7yX8i9T07LnHXsKDTq+1f5aXDvhGyZek2mn9M80DVDEOb9eAA8Ny1P3vsv5Mnpd61jR6O60uDeiS0y9cZP5LmVtBBAPi5cuFDpQmD60d/61u9kcnJSrl69Gm610KBfBwWra9Cf5B8AyEm3DcGVU/KX39kj//DBKdnpvfSjQW99gbDRSNKgpzAQHDBASdur12jvPy5jCjtmCLzvxOB3IWX7CDTyNLAV3jeGAPJQdQuBNgr8u3+3Y3Bq0aDJIOhLpAOFAQAKQpchX45aUT8Q+N9q6SpjNNo0CAzQYOBzReam18u9NQTGo73/uDpqCPyWgHtl5c5TciWyLyl/VK+Rp4EtDAEUoEpDoFnhX/2rC3Lo0KFgg44L0MHE2hrw+usirhYDAICcYAh8hUGvXQuugdHq+oIA1WjTAEMQFYYAQ+AJQwAFqNIQbN58U5YvXy5y82bQGqDThQIAlASGIFS0/7wGwU/L+hr6S9sabRpgCKLCEGAIPGEIoABVGoIHHvh/5Xfvvx+sF6DzjgIAlAiGwMgeNOkFAf7YgpoCAKPRpkEYADOGIFRHDUEYADOGIBSGAApQxBDkPfbWrVuy7fEz8tr/+i2RrVtFrl0L9wyix+ZlIee0o1Xck5L3Wk+dOhX+lk2RNM1LkWPzXmtV5y87TYucW8l7fN7nlDePxrl586ZcuXJF3vcMtP4c9nO6BobAyH/x/8+ycucJmZ3+T/L9GscOGI02DZJaAoKa4c4Fgl01BEktAbZhjhxfvUafBpYwBJDAW2+9NaC9e/c6t7v0N3/zN87tcb39x9+QE//TQ3Ji/37nfluvvvqqc7tL+3N8nirvdaqKHJv3Wv/6r//aud2lvOcvkk5Fjs17rVWdv+w0LXJuVd7j8z6npDw6MKg+gYmJiUImtetgCHoKA9+JJ+XpnW/WshBXXCNPg9AUffnJKTltr0Nw79dl6h8uDx5fsUZ+/xF11RCY7nMr5cmpU5F1CO5dO1VLq1kdadAThgAKUFrwoeMEnnlGPvvud2XD//KM3LhRrKYWAHKs1QERMAQ9hQFgTYsvuTT6NNB1Gd6Qv+ytULvEM0jfl590aYVavyY8XIwqIle/+upVSxqoEXzzr4IVev17f0AmtrwSmkTX8dVq9GlgWsvieUA1eoMI7aEUQ6C1nzpOwPuslSu/Jn/+578PdwBAXg4cOCDrw4H3169f939COhiCni7LP0w93YiuQkajT4Nmqev3ryINSANoD4s2BNPTfsvATe9z/u2//d/lgQdm04YMDIUuaPbyyy/L6dOn5VIL1izQwO7P/uzPwr+ayaeffupfp+qDDz4ItzYTvUZ97vqzaZjrmpubC7cEaDn4+uuvy/Hjx90L8lno+IHz58/7CwTeuHHD//3u3bvhXkgDQ+Drivzq1F/Jk99/oxFdhYxGmwbNU9fvX0UakAbQHoY2BLoEsU4pGgboW7dulf/wH34nmzf7f5aK3f96cxUnKBFNT+0H3nTj0sTgOgmTlk1O0/i12elLN6Dq6LAh0G4B35HVO0/I3Ok9suX70/JOTX2Ek1R9GjRbXb9/FWlAGkB7uHDhgl8zWQjtzvDd7wYLjXloEPwnf/J/+0sNFP2oImhN6ksNn770yJEjfnq2wRBcvHjRv05N1yZjWoZOnjwZbmke8edt/910E9tmOmwIzKDRB2Ti+683zgyoqk+DZqvr968iDUgDaA+FWwg0eLzvvsAUhNzn/f3tb1c/TaJ2G2o6GmQrTTcEdpCqXVuazDO6srX1s4lgCOqBLkMNVtfToOv3ryINSANoD4UNwfPP6/yl4R9B4KMBjy43UCV6jjYMtNTrVE1OTjbaFOhUmIammxdzfU2+zvi12SYLQ1AdGIIGq+tp0PX7V5EGpAG0h0KGQGu/dRCxxbZt2+S//tdP5Je/DDdUgNYMa+uABl06VqHp6HXqfPRN7oqjA131OlV558ivC+0qpNfZxC5DuoiYed76886dO/72d9991/+7LQPh2wqGoMHqehp0/f5VpAFpAO0htyHQWs7Y4EgNdM6cOeOPLW54N3QAGEMwBA1W19Og6/evIg1IA2gPuQyBdi/RrkLWiGGtCV29erWcPHmt8u5CAAAuMAQNVtfToOv3ryINSANoDzorTqop0H2OPtA6eFZn/GnwOE8AGHMabQgAAADaQqoZ+PRTkTVrgp8xTF9+WgcAoC4wBAAAACWQagi0m5BjQKQZO6BjUc+fDzcCAIwYDAEAAEAJpBqChOkSdeVVnV1Fd4drkwEAjBwMAQAAQAkkGgKdR/348fCPPn/4wx9kzZo1cvu2yMMPi9y9G+4AABgxGAIAAIASSDQEuhqxNauQ4fz58/689bokwUsvhRsBAGoAQwAAAFACFy5c8OL+WOA/Nyfy8svhH1F0kTBl/37/BwBAbWAIAAAASsDZQpAyl6gxBEw3CgB1gyEAAAAogQFDoK0FCdX/uu7A+++/L1evirzzTrgRAKAmMAQAAAAlMGAItOrfMdWocp+OK/B44gnxTQEAQJ1gCAAAAEpgwBDo1EE6hVCMzZs3+y0Ed+6ILF8ebgQAqBEMAQAAQAlEDIFW+2v1f4ybN2/2Wgd03YGE5QkAAEYKhgAAAKAEjhw50jcFOpfogQPB7xaXL1/uDSbWQ956y/8VAKBWMAQAAAAlEGkhmJ4Of4ky7W3XVgKF6UYBoClgCAAAAEogYggS5hLdunVr+BvTjQJAc8AQAAAAFGB2dlZefvll+eCDD8ItARFD8MIL4S99dP871hyjCY0IAAAjB0MAAAAwBJdiU4pGDMGZM+EvfXR2oSs6kthjZkbk/Hn/VwCA2sEQAAAADEHcEFy4cME3BZ8eOaJ/hFsD7ty5I8uXL5e7d+/6f7P+AAA0CQwBAABADA3stUbfVpzEFgI9Nhbta8uA/RnhzKMAAI0AQwAAADAEiYZg9WqR69eD30MuXrwob4VzjOoPxxIFAAC1gSEAAAAowNWrV30zsH///t6YAKVnCB58MPhpodONGiYnWX8AAJoFhgAAAKAEfEOg0haCGGYxMoXuQgDQNDAEAAAAJeAbgtdfF1m/PtzSx7QQ6Eyl1lIEAACNAEMAAABQAr4h0IHDL70UbgnQ7TM6z6iH/tDDAACaBIYAAACgBHTa0Vt//McDAwSef/753iJm3q8AAI0DQwAAAFACfguBY/zAam/b9XDWIQwBADQRDAEAAEAJ+IYgNmJYFyLTBcmUzz4TOXTI/xUAoFFgCAAAAErA1UKg254IFx3QnkQXL/q/AgA0CgwBAABACVzSEcMxQ3D58uXeCsX6w/sTAKBxYAgAAABK4L9NT8utxx8P/wo4f/68L0W9wq1b/q8AAI0CQwAAAFACl7RPUNgaYDh16lT4m0g4lAAAoHFgCAAAAErg0tTUgCHQKUeV+fmBXQAAjQFDAAAAUAKXdEGy2BoEzzzzjP9TBxPHdgEANAYMAQAAQAm4DMH09LT/8+zZYNpRAIAmgiEAAAAogUtbtw4YghmdeciDBckAoMlgCAAAAErgv23YIB8fPx7+pd7gLbkYLjygjQcAAE0FQwAAAFACfguBxVbv7ytXrvi/h0MJAAAaCYYAAACgBOKGYGJiIli92IMWAgBoMhgCAACAErgUm1f0wQcf9H/evBkMKgYAaCoYAgAAgBK4NDkZ/hawWpcm9tBxxpcu+b8CADQSDAEAAEAJXPqzPwt/E1lYWJDJ0CBow4EuTAYA0FQwBAAAACWgswyZMQOXLl3yjEDQhUgbCq5f938FAGgkGAIAAIASsAcVX7hwQU6dOuX/Hg4lAABoLBgCAACAErANwTvvvBP+FrQQAAA0GQwBAABAAa5fvy5PPPFEr0uQwTYEx8MFyrQH0cSE/ysAQGPBEAAAABRAVyD+7LPP5Pbt2xFTYBuC119/3f+p65LFlicAAGgcGAIAAIAhSTIEzz//vP9TpxvVaUcBAJoMhgAAACDGrVu3/JmCbNloC8HJkyf97kOG//6nf+rPMqT7nnnmGX+bDiVghiEAaDoYAgAAgAJowK+LjtlmQPnom98MfxN56aWX/J/hREMAAI0GQwAAAFCAbdu2yYEDB/xWg61WNyHbEJguQ4cO+T8AABoNhgAAAKAEbENgph0NGwoAABoNhgAAAKAEbENgFiVjhiEAaAMYAgAAgBJ4/0/+xB9foMzMzPg/w55DAACNBkMAAABQAqaFQM2A6TJkLVgMANBYMAQAAAAl8NHGjf5PXbhsbm7O//3sWf8HAECjwRAAAACUwEff+57/U6cc1RmIdEGy8+f9TQAAjQZDAAAAUALGEOjqxfPz8/4MQ7H1zAAAGgmGAAAAoARsQ6ArFns/vJ/+JgCARoMhAAAAKAFjCHQVYwwBALQJDAEAAAAAQIfBEAAAAAAAdBgMAQAAAABAh8EQAAAAAAB0GAwBAAAAAECHwRAAAAAAAHQYDAEAAAAAQIfBEAAAAAAAdBgMAQAAAABAh8EQAAAAAAB0GAwBAAAAAECHwRAAAAAAAHQYDAEAAAAAQIfBEAAAAAAAdBgMAQAAAABAh8EQAAAAAAB0GAwBAAAAAECHwRAAAAAAAHQWkf8fr8pmUm07ZZsAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": { | |
"image/png": { | |
"height": 300, | |
"width": 500 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image(\"./logistic_cost.PNG\", width=500, height=300)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Log function make it to be **convex function**" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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lb058mWQFhX5tkLaQT/ut+7txmpwcd5brgmLfCBhrmUxpS01GaSXJTEEqFw7YrYOYrBo+WW4waRLQVPm+cIqH7KP0Gk4LJP0ps3WmAni/darK+1o29vn1UjFhaqUMm/1NAW1VgbRK5f0FUshVhlhTXQvqqMNmQQJpbmHIGjlomJA0Jz63QfbFAO2Dy7SiaoBRkFSVvJ1VNP0ZOpM0e+INWkuYDV53nqalo+3YBE3PL/nrKakycZQA0qsNMn1cZRvxj4AX5HemT9J5Q7DvbTf93NP33VCUVqJyDKCu/0oyZShPYJt+XbMDJqntT6/FvUIbyy/4z148Nc1ZtnTQM8lGo9hHq8XWGi3OTnqGLZHWFp4fb9t0jtUETXbwfusU7193XAPFuYdLJ2Zp0m+h84iWF2wgZRkby8jvE0jFg6mVzFSWhUiLXVorU2/jPC34fbc6kwu0qrz/3ogs6S11xQ2qU04szvnXS5MKKuafr1dKK6273KG8/hf+dUf/hMrgQJo7GbfJKHALAo+21KZzAvXA5VlR1W8UMmpt9WzS6vxUEOTEiX6Y1NptFQkQbYxCVq2+4ePqnht/DC/rf+8H05lN0Zqab2nG1h63UOtHSe3Y3OckKb11Wppxgg5lhkMvvSkZ5Et+c3ZtZ9Y9leVmg2ZTs9pbW6Apt3+DNw50GBwpJiFlH4z9Oak4+5s76JqDIBUsYUayz3EQrSYmeJ91qo5zVpGAujP5HJ1387T1gxtIKpBVqo60fprKhoyWVavngbcx9fe0tPGJXwaEz1doEnTPY4gYVG5Z0C3Xw2XO8zTN5iCoqEieR1B2puxf10+irzLXLcPT33MAAKgKLp+KqnajYFNoR1EC0MjU2M7f17p+za1SIAcfPqUWjvs9LMzQlFpop34gxQjoP556o+AFYZ4J0AWl/nnYjA2sMVPNNwqMBMd8PHlbjATZRuz37v36ciLItx+1JMUgRjDd87wBfDT1wAve7UZz6H/0I9Pz6z+XGc+JXIvyalftkP3Wie64BoIMNRxrjXPf+9j9smvZ8pGyJHaeCQzlcS5Twvj7c8tBN3h/yDgwgIrsh9Etz0bet2Rw7pWdpgoCD927XbzM9cuwOlNrAQAjDZdPRTWERsFQe++T2J7OKOhIMwqpJoLRHJP7gZT1NUbB3eYuuxom2X+JgX/k41YQ3XYTWM+toEfuZ2ari48cW1pahItcU9MxacxZnNw1/e42ncDl6Ek6MfW49ZBvvH3ej1UgqEVnVBl+br+c2dpjfU1LhvdZp3j/uuOqHtP90pPn+fDeJ1PNdna6Xf6RsPyyceI5WjzxLZqwMAlM/0bBVHb455gRtMs1tX63DfQ2lqnL6X/jB2kpZfQeAACoEi7Pimr4jEJW0JwI8NTUI+6bcJKWdQV2mhlIW+YS/7B7NUjhByq+3D8m2xqmzP3nRz7C/aDbbhIlFz630ckXMDFybFlBbZYBsXkucxuF4D4ahtE10L9R0Neuuq0au7JbtGyvadnwPusU7193XJWTVcbFsH8+st4nWW4yEkWeRdmm867F+iqkUYZRCL4F6jvstmqMZw6wIOdp/W4nCM+7zHIbAACKwGVRUdVuFGxqbiNkra8NqtUOpVxwO4Ha7GvRTs9pwXhmoB79AHtpJeq6sQ+0ew72wW/2/puMGLUCqUc5AybGbrQUCZyLB0xMbqMgtas5DZP0hSieeqQzRnyOe636jnjvTD2pR3WK9687rqrJMrFx7IP3jOfPopzJ33cg613TU4pR0JQf7rW1qKApbWQnGVAALQoAgBrh8qyo6jcKeYPgLKOQupwNQzcYOSfyIU47jsxjVI3AWqw1wbA8bX6BOKYPnnMOfB5GTNdogEin4yKdmW1q9ePYBe+SKma6n7I8PbjJF8Crnbstn3Wf/IZEgzxD/rX0WhOynw90ZtYfW3XYmVQVSQfKDN6lbDS9T1llq0PuAD5IPbQ/H6YUoxBcS/99c1sTJqwMi+6dK17moo8CAKBeuHwqqvqNgpIaZBc8pwdxVsGl7oOYagayAsvQCPzt0e/HWhNslmegOd6hMAoy23bBD2QRo2A1rKLGeOVa7mNfk+uYhNUFmtz1JJ1YfM45p3xBU+HhUSOotckfOoHLXqv5LTA8qv7YqiO/UbANquV9ykq3S2vJyDWvh/v+j9PUiZN0VDGp2nVj5OqgbURtzfhP16hPWFbQyDuntkz2Vea6Zfhg55QZBj78pMgAF6Aof/r0ExfdMtBuuHwqqgYYBQelw2tiyu5gZmapCVJy3senaSGYxVlNL1JMhFNAz0ypsz37QVu8Zi0wClKYO+ttOB8X9zdhoK+vjZJj2kXj4w9pPrTye/6YFKhdF6OQ40NbP34tms2oTiaM583D4x6kOU0qk01gm2VAbA2KXW278xy5o3F91Uu98s8pLRhTMQZmqcZWhzyDznE4127c8lmyMl4VwfutU+n3tSqkLNEYBQ68p5/Xmm55RszpYVkGxN6gWBnXrVXqTj/ql3WqSbWrMNC31tkfo+C9y876s8/TM+N7rd6VfPNS2JL/GrSZlQ/+lR5787/RF5fyDH8L+uW1d8/S2OuP05F/PQ7DMGJweVZUzTAKQTDlmQU9SkAUjJGtW88JxNWRNSTYTKwXr91Rg3mfoFBP+Xi7KOZFG7gp2y7woQg+dpYfx/px7qebZtNvDZpmaFQ353cqdfQUmRBKHzTJNp17oQ2WleUWLSHmoEl9JlRzqAYMnzqm9QWaWTDfV6lZPXz4cHRZYBTS06NC1OOx7y8i58e11rrlVcL7rVO8f91xVU5iaFQuH1+j2UnzSFn8fPDxGtPgslKAlOVZFRmp5lEtb5Xj9549/1llwzNzPNWo6id1C8tRW6MdHo99BY11KlcuYtdAu85owEEqB6tP/PIQrV1+R7sOqAY2B913XnevP5u097b+Q7seaB9cphVVQ4yCj3YWUh6p6AS9HLQI+LgtDUej5mJ8muaX1mIfg2i/BPN6DupMtvGRaYy120wYhOk/YPKBKxI4y2+H5wMT9EvIGgrRDXYzhoiN3BNucZqlE7p7pyApQclARlLI/OeAidxPjVnMqHk3DxcZ3vPJubPKdXCCPmnR4mXxTvUKXLNpDNRztyiEhjNvwNRf+kdxeN91ivevO67qEWMgZRY/Jy/RktrSGkPSj7QtaYnKkphZCJ4lw/IY0srFwXw8/Uha48JJ4vxlkoboLou1GseQ5y55LvJO5ag0kXPLkf4o/RPUtKMyCK6NrclpIQsXXg5MAmq06+Psf/wKZmHE4DKtqJplFBpNXU3HQ9ZkLa09Fh9m78NZvgFSA+z+8vrtkJGW1Flcy0BqbhOtCYwfANl3ivdaSmzX52uY3jJTPbzvOsX71x1XU5EAt69O75bIs2lswShIqjkWo2Cdzui3bOZIf5TUxXJbEzzEKGRVPrQVTjfi4JRTjmASonBfDW5pYXTLs+Bg/9tvzbkGQLdch6QhsWnTLQftgsu1ooJRsKampmO/NnA4aqG478CUc40sUluCGsZqricHtxzoMlWnzahBdVm1kJJyxAFLvNbWbSVbOpgjAPIHDLBcn2uMxfyUXauah34KtjI0bOVgFc+hCd5XFc+Ivm+CR29jkWbGH7JulfVaNu1bcdUyoxJzLC07w1LpUzJsEDgwzRPMjgKSCsTXh4N33TpZiNGQwN+2lQD3ZHTo53sKo5AHP493cEG7jAiVc5SkWpB+CZK+YEt1xos/9hLMcABSXsfEJBw4SY0utwAUDTTY1KjbSZoEB261mZlNHZfdrb3kmstPN2h5Ydq5L9nmjffFtdESLNVpEhi+BnWK9687riajPvN8L7XPT0moZoED+372xc+9uq3kOlwW/j09nTabudvKxh2WN/2BLXZZpdnxcbMxr9QkMEEK2IDL8yvnaHrxcTcgHHv9r2nit7+zS9sqEUl14cBUt3xUkeCe/y2jlYX7fHA6kW1KEe7L6NDP9xRGIRcDDtxzp5fkJMj/l7z1TVpbnPPz5yf8jpPO37ozvgGQv2m2lchztqX6a8kBLwchg0hD4n1xgF80DYmDO/59f60gasdlJuW+KXDAxGkfVQeYtvCx1ynev+64mg7fOzF82j4LJaOaS93yLPhZ52vNBrmv5z7SF8Oij5QPv2987FyZUOlzX5dRYD5bp+65r9dmFA7/+qgbkHIfBd1yHb0//poW3jpQy/Gm0bvcpQnXdAn7aHr9I+vlgqT+cMpQfFk/sFng7XLwn2U+eLkcJ/oqlAT3tZ3nyjm/LOpM0mx32aosqpJ+vqcwCiPLB7Q0O0dLG44RcPN+J+mZ2Vn6/nnuNO73i5j4e5o/+hx1ueOhGIERza8dLsJO2VkdR5tMPwVbGWpDOVhZ7biGfvZVRmtf0AeAP8yL6QMeqPC+B2GMg+OrpYX4Cq399u+cgHDwRkENRq1GOfrsfVq+8N9p3P1NPcYmi9AMHKDZ95Pla2/rdZpyW3G+RTPrlxLHz9eEa/35mlQxl4S0VHBak265ShETBwxISnUwE7ufJszf4qoqfC2BUQB9IEGlmpoiHainaH7VLwSldWOER+wAgwVGAbSJUTUKUsPN6JaHXKWN91+h6Tf20eTb/5/z71/Xcrw2BEbh511a+yz/cumXULTzchZsPnj7bEayWhXkWNCpuV90sRQjQ67XO3IljAIojs4AuH+L5fe6zeb1PuhgtIBRAO1BSQespTNzfUZBAtGsFJve1v+mmV+9Qst/vOr8f33Hm41zL9d/QB3jscnyx6nz1jltxZp0IuaRoOLLyoIDf95HVkdleyMHUpGsi8T7rbz7NWZkwCiA4rgGIDouuVfzpZoCedDrqAkDowqMAmgPDTcKnO7zbyf8WnwvaOz84h+o+/772iC998e36eXfSnqQjr+j+cveYAuS2pIvF7/JRkGOLTzHKB/R0lv7nOX6vglS28+k1fZ7fTS+5a7X+cX/otWr4TPT++M/0Yx7r0zHEM5ZkdVqwX0T5Hga1U9BnUNJzW5wUd4nhyZkOgQthhozEKZF1jfiGYwCKIjOAOj+Jn0W0D8BDA4YBdAewn5D9ZSjKYG3dHR+47/TghiDq7+jrhukfp2m3okNhHD11zTLQeobz9OSW/uvBq7JnH02CByE2uTLhzTYKHz2O5r/uXOuiz+gpSuaoE+WG4J4qcHntKD4sgDexrmjzvW9Qlvv/8QxZOF1CK+18zwZUpsYGdHIxqC523Kw6kMyEC7T8txB1xx4wxzr3ht5p2wmYIwaC3tsJ3cMt681LXUOZODD51NUMAojjf+iRVyuxhSoHZk3V6k78/3aXDEYHfop2MoQykFQHn65agokKscUeF+l9XeeoY6u9lsMQSQglu3E13cCJUO6TeuMQmS42RQy+idYt7D4+3Ovq2vq9tH4r/6JNgwGQciTUiTrNccoqMi7Ew+ydfFLXYQVAelGob707X6+pzAKo4yxf0K807IMC+u8BEM8ig4YLvop2MoQykFQGlLZwmVok4xCau24zhSY0mpGxyh4HZVNx2W+DkJuoyDX/OfHafF3szRhYRKYIkahyj4TxZEgPB5ks4H4stVcKdUDowAAAAOnn4KtDKEcBKURGIWsVIaqUiQMgbfUjmtrvyXoVX+jMw+mdT0GaxTEyHiBrz3mXP8opvOPLzcfd36jINtM9lVIoz1GQd6JWF9KTkna9SR1123uW9XYGgWkHgEAQGn0U7CVIZSDoDSCQME257ls9AFs+jCe+trxYI6AN35A3csfe3+TvPk3fkLLsUC2XS0KvhEp2D+ByW8U5D6YzIme9qQeOc+X3xk4DMI5MN+bozVBzIZqrm2wfV9hFAAAYOD0U7CVIZSDoDRqTz0wBN65WxTUv3vBpcfXafLt1/2hTdVttMwopF4vZbnJSDhIAJ/amVlF+orkvBZ5Zn6W+9hUoxDpJ9mT1oQm9E0QFCOiG6xA3n+MegQAAOUBowDaQjjZWsOMQu4+Cg4cuP58lrpbSVOgo03Do0oLjKn/QdZyxnZ4VJerazT/iydp6nen6SjfJ5NB0TD0w6NG8Ds0u4H2h7Q8u5emur9vjoFkUsxAskVk8MAoAABaB4wCaAdq2kNdqQemwFv+rhkGVUxEJJ3IX3/xGWujIKk2+Wb+baJRyDom+2O2mnDNHaL2AI2//Wvaykp50lD2hGtp8wRUj6T2fJVm5w/SeC3HkIWMzhSvDJBjj8/YPFhgFAAArQNGAbQDxSjUlXogcyU4QWxiaM1gGNSnae4//XkUPnufzv/maeok5kWQYNgLLBM425h9751I3nieXHmPHm1dfj2Y/K3zi+N0XpPSNHCyUoCU5V5wH1uuIOZJW9sv6Ut8zQKTJulefusOtzT86mfG1oU8rRa2Rq7eScNUs11vwJ1GMOfD+Ax13dEhr9DG+edostOpfXQmGAUAQOuAUQDtoGajEHSw9YNPh0RqzNV3aCky0zL3OXiVlvzOyhGCydjC7UWJtk5woCrL0nPgs0csSkvpqRQ1eHeJmYXENU5vVeBAnvso8Lr83+qyIH0pbpDcNCQ2e7zsJ7Souzc+bEB4vay0I0b6kHCqkm65UG+Lguy//oA7i97GMnVlRmlmfJrml9ZqP2YYBQBA64BRAO0gHBGlthaF0viYVn97kDrKrMzqsrV3fuCajXhAL/0UsoLRUSL/6Ed2SJ8DNiJZrQmqicvqn+AF6g/W1DfgMi3PPkqdqS6tNy7laDiAUQAAtA4YBdAOFKPQyNxqe9InG3Pwa97jRoFz8TkY5dz8yPojjlrzn9mx2QIO9tkgMDYdk7n/gtV96a3T0sxETYG6P+FrpylzJgwnMAoAgNYBowDagZJ6NNRGQfLkzUbBm2NB0zHaQTrwZnWuHTVkdCK+PkWvDacvieng7diOXmR7T3rrL9PM04u0MaBn12294Hfl0w1aXpim8Qb3SxgWYBQAAK0DRgG0g5r7KJSJ0vE52mn5Km28/zrN/uLrxtmD1fkDyqg9bxMS6HOKlm55FnxtuTNyHqNRVepT/6gdl5kJmllKGk+QDxgFAEDrgFEA7aBFRoHhjs/vnAhGJRI6v/gHOvFvb0dHVIohtecc1MIs1IekHLFpi3emrh9lluPJOVp0Rw/SrQfyAKMAAGgdMAqgLdQ7tGSzUFNt0kdBAmXD5kxaEmz7MYB2AKMAAGgdMAqgNcisrbVNuNYsJFWGg1XdclANr7171r3mbNbQojNawCgAAFoHjAJoDb1Vmp/oOM9UfNbW0QbB6mDB9R5dYBQAAK0DRgG0B8m77tDE/Co6ZgIABgqMAgCgdcAogPYQdmjuTC/VM7swAGBkgVEAALQOGAXQKqSfwpBPugYAGD5gFAAArQNGAbQLST9Ch2YAwGCBUQAAtA4YBdA2eutdmuog/QgAMFhgFAAArQNGAbSPy7Q8+yiNdZ6k7voVzXIAACgfGAUAQOuAUQCtZOs8zY53qDPVpXX0VQAADAAYBQBA64BRAG3FS0Hq0PjMIm3ALAAAKgZGAQDQOmAUQHvp0dZal6bHd9H49DwtrW1q1gEAgHKAUQAAtA4YBdB6ehu0/PJRxzDsxUhIAIDKgFEAALQOGAUAAACgf2AUAACtA0YBAAAA6B8YBQBA64BRAAAAAPoHRgEA0DpgFAAAAID+gVEAALQOGAUAAACgfyoxCgAAUDd1Snc8AAAAwDBSVPV+iSEIgiAIgiAIaqRgFCAIgiAIgiAISghGAYIgCIIgCIKghGAUIAiCIAiCIAhKCEYBgiAIgqBcunr1Kq2vr5fGzZs3/S1DENQkwShAEARBEJRLp06doq997Wv0ne98p2++9KUvuWYBgqDmCUYByqWVlRVtQV+Uy5cv+1uGIAiChkVsFJgyxN8CGAUIaqZgFKBc4g/Dj370o0iTcVG++c1vuv9CEARBwyUYBQgaDcEoQLmEjwMEQRCEbwEEjYZgFKBcwscBgiAIwrcAgkZDMApQLuHjAEEQBOFbAEGjIRgFKJfwcYAgCGqneHAJKeOz4PKb/y1DvC3u+xbfhwkemhWCoMEIRgHKJSmoyxCMAgRBULPEQfibb77pDjYxNjbmIqYgTlnlN4+mp9u+egz837we5luAoMEKRgHKJSnAyxCMAgRBUHPFpuGnP/2pO18Cw/9d9ZDWvH1uXeC5FXifbFrQggBB9QlGAcolGAUIgqDRkxrAc+1+mQF8HYYEgiA7wShAuQSjAEEQNNq6cOGCaxokLalISpCa4sTmg7fH24UgqFmCUYByCUYBgiAIYrE5YJPwve99zzUN/G9asK9bn/8fgqDmCkYByiUYBQiCICguXQuBlO9qCwQ6JUPQcAlGAcolGAUIgiAoTWqfAzYH6JQMQcMrGAUol2AUIAiCIFvBHEDQcAtGAcolGAUIgiAIgqDREIwClEswChAEQRAEQaMhGAUol2AUmquHHwYAAAAASFJUMApQLsEoNFdcEHz++ecAAAAAAAEwCtDABKPQXMEoAAAAACAOjAI0MMEoNFcwCgAAAACIA6MADUwwCs0VjAIAAAAA4sAoQAMTjEJzBaMAAAAAgDgwCtDABKPQXMEoAAAAACAOjAI0MMEoNFcwCgAAAACIA6MADUwwCs0VjAIAUa6/9x7d7na1y4aV7bNnXXTLAKiCDz+5TK+9e9b9V7ccVEP3nddp7fI72mV5gVGABiYYheYKRgEAj2t/+hPdPXzY+cKN0c5jj7n/r1tvGLlz5EhwXmyEdOsAUBYcrI69/jh9cekJWvngX7XrgGp47M3/5l77b781R3/69BPtOrbAKEADE4xCcwWjAIBnEnaeeMINptvWmiDcXFmh+1/8ogv/t24dAPrlyL8edwPVJ355qO9AFRRDNWr9tOjAKEADE4xCc1WXUVhfv07/9V/XtMvK5qOPiu+rn9+WwcWLN7R/B+VSp0m4/uGHhVsv+LeMbpkObk3g82SzkOd3ANggASpMgp73tv5D+3cb+Ld5rimnfcm90C23AUYBGphgFJqrQRsFDnz/9m933P3+8pfb2nXKgvd18OA9d18nT97WrpPF3Nxd9/c//vEd1zTo1qkK3h/v+2/+ZqfyazXKsDng4Pnet7+tXV4VHLTzPvsxKJJSxP/aBv51nS9oN1xzXUYtdhvh9CtJCSraf4B/z9eWzZitYeD0I94n/0a3PAv+/hQVjAKUSzAKzRUXBLoCogpeeum2uz82ClXXlHNgXda+eFt/9Vf3XbglRLdOVbBZELPC/9bZulE+H9D29ENu0OoyMU83err1qoNr8rl2nfd/Y21Nu04VcMdi3if3Geh3v7ytPClFdZ1zHrYubtMrR3Zo8tgN6mmWt4LNbTq09x4de/UmXerruf+Ilt7a5waELj/v0tpnuvWqRVKOFi68rF0+qsh14aC9HwPF5kBtsbFpnWBTwuuzwSjSwgOjAA1MMArN1aCMAtfoS7CrW/557wYd2+sdj7D70DZt2i5XUE1CWYE1G4S6zALDLRp8TsbrN7RcoevdJ2szCkHA/sQT2uUhn9CN+ce94xQ6M7S92bNcHqLus6wO09w6IcG/TWfl2wsL7rrceVu3vDZ61+mt53do9+4dOnL6Bm3p1nG5RpdWbtOhPTt07OLwmufepW168dB9enjPPTrZ13lcpfV3nqFOTUZBWhMY+2D4Km28/wpNv/Edmr98RbO8Jj77Hc3//K+D82E6b50LvzVZyxXEJPC/8WVFOfsfv3K3yS0MNsE/mwpen1ORdMvT4G9OUTklIATZC0ahueKCQFdAlAnX6PN+OIUmNXBXzMCeI9vJIMFZfvKA81Hl5YdvaWvhuAZeAvqya9//+Z9vuvtmA6JbXjWSRtW6NKS1ebrPgXUNRiFf6o9iBsbn6OZW3AQopmf8IG1vJIMfTg+S2v+y+whw6wDvm1spdMtVpK8CU5ZZ6Z9rtHKEg+a7dOaS+d0NgmvnXXj44eE2Ch7X6MIxzxwdu1D8XHqXuzTBgWsNRiFvPnzvj7+mhbe+5f5m7PW/a5ZRYAIz8Nc0/vavk9+iz9ape+7r3vJf/RNtaK631Ob300fAhLQsHP71Ue1ylX76KvA7VlQwClAuwSg0V1wQ6AqIMrEOcAOjYPj4Zy13kJr3on0SsqgzWBfDxSZIt3xoqckocIAswbJdCo4YhQ7dn18tsDzsU8A1+rrl/SLG59Zrr2mXq0gLRDNGQLpGGyfv0e6H79ORFUOw3LtOKy/eoz3c2vAT51/nXWiHUXCQShDHJK1saZZbUKdRkFz4zLSjz96n5Qv/ncYXn6bZ3zr/8vE22igYji1ruYP0SahqeFhOJ+LtZ6Ug8XJej8mbfsTfm6KCUYByCUahueKCQFdAlIV0yLUKbjlnd7dzTHvv0EVdwCjLd9+jM5vJ5dyCwPtiqup4rKY16ZZXDe+X99+qVoWajILUwDO65UmkT8XjdGdN98GV5Q/RvaUPEsvVvgFVjTjEQT9v36ZVIWhNqci05GJrm47sMacTekbiLh1+cdtrSbSoNBg2ehfv0F7n3d5bsF9GnUZBAtH0oJjTo47SzIVfezXwFsF2bVw5R9OLKddSli/+gJauJNMLpTWBzUJ8WVmwKeN92KQ12d2fJPytKSoYBSiXYBSaKy4IdAVENtfo4pnbdGS/pAB4xFOGlpZuuX+3ya3P+lBunuEaR7u+CfFlIZLbzMd7n/Yfu6kcr7PszF2vptJgVvoxI1sXbwXXa/f+23QhUnN4nc4E6RT36dAZ/bYz+3oMkDLOxyXNKPQ26ObLR+neeMcNal0mZ+n28kZ0vbT1I4S1/TL6j01Q7dJbpTsTznZNhmZzie51nH0Y+ibYBfFX6PryC/7xP0g782/TNXXZ0sFMUyXnmtVXoUmjH3nvdkprQpzGGQWnPDx9l/ZzRUaiXHGQSg5+HwwVHcE7U7BVId0ocH+A0zQfpPtwkPs0zb7ztjZtxq35/7cTNP1GNBc/5K9p4re/c8tptcbapoNtQIONgnctw3OMLu/R5voP3P4gpr4JVkG8tK7wtVs8SPMffawsu0RLv+J7ZTqGaEfl+LI4RUc/4ue1qJxSCILsBaPQXHFBoCsgUuk5H7TDzgdt9w49/9Z1txDrbdymA86HMB7k2w9P6nxoj3FtuSmolOVmIyGjKvG/8WVC76JznG7/Bj8fOgg0FJOQsg9GavW5z4JuuZatbXr+EAfTkmKh2YdF8KP29wj/Hl6bNMy1tQUo6XxcTEah93u6PfUg0fh0aAy2Vun29IQXRHd/H67rcpluzj7qLJuge0vr3t9667Q9w+s7BmH2vBJ0hx16rQNlOc7ppch2EssNQbwE5qkdiNcWaGdmka735Fyk9UIxCSmpTYy0FHCnad1yIbdRqgw/QDYG0BoaZhS2Vu7QITYHznF5/aiSxyUVIcYW08wyMB2zUZCOzt+iaanN//xjWnvnB26Q2jn3Oq1H1t+k5bcPOIHlt2hm/ZL3TiuBazxnXwJWJtyGBY01Cldo7bd/5xzXPppe/yhluTmIl8Dc3IGYt/E97/pe/TXNsiGT+xZca76m6ddGrnuWQZPjsenToMLfjaKCUYByCUahueKCQFdAmJEAO1b75364kx84+6BarYFOwxwY5J0zQWox+Zg9o3OfDvN/a9ZVybufBKYUKz/4SQvoecQluRbh32swCip9nI+LNsCWjsGaNJ6t83SXa9zjNfemQN5Q0y8BtZ1R6NG1pRl3/XTMQbzsz67jtOzPP//1Lu10FAOUgu1+pIWD0S0fGFkphzoaZhRUpOUzbpw9o5BuAky/tcFkFHpbr9PUoq72WwxBNCCW7STWN6TbyCg8TLCuDY01CrHhZo2Yj1vWYROlWx7F3597Xa94pu6N52npj1c160aRfgpZ+5EWDjYMuuUm+LtRVE7JAkH2glForrgg0BUQJqRWzDbolCA1cy4D+fCbgoWM/glM7o7G/jb3/uQWvXJgx8okMJz2w/spbBTkXOPn4h5PdvqFXNOq+mHkps/z0RoFSfPRpvFIp2HVRCiBfE6jYBe4yz6L9U9g8u3PwT1ux3gcPUm3px63MgmMtBRwx2ndciF/H41qyFumuDTYKJjOxzUBGWlFha6Fj94opNeOJ01BSlqNwSjICDxMsK4NTTUKclzaFC6HjP4JjFwPO6Mg1/zv6Oh7r9DUz+1MApPdcuEh9whGAWqsYBSaKy4IdAWEnvxN4xLUZhmFrA+kLE+rdRSjkGlKhCDY0OQUpyD9BAobhaD1RA1yvBSevzxwmzYyalVtr6kZ29abOKagrL/z0RoFCe61aTxiCmK191ktCrFt5QrcU42LstxoJAoYhWCb8b4K6YhR4P3plgu5jIIYde1zkYJFK4HUog/EKFR4HgGyD/U3zvFyStKBk+ktBTblnAm9UZDacUMwrum0m9miEAugB2sUQiMj+7TDnCYUx3j+seVGI+Eg+7UzCso2430VMhCjkNX3AEYBarxgFJorLgh0BYQWU81xCvKhzQpq1TSg5PLs/gmMGAXuQK1bnqRAbrRD3y0KOsPlXtsdq86cck3rmPhNT3/nozUKur8FGFoPpE8D91Hornp/D/ooPEp3l6MTQeUK3MVsFOyfwOQ2CtJKYTInBsQoZE2m1pQWhYEahUGgKSddA2DRSbl0o5AVjOtqx4M5Ar5F0+/8zqtACfLmD9Ds+5uRbbSrRUGMSPH+CYxcD1ujIPfBZE5MoEUBao1gFJorLgh0BYSOIh8x7nTL+0jvo6CrkdYtT2/JyNt3YGtFOi/nCzb67qPgINfSMz5+7btFoMSGi/cdvW8191FwKHo+LmW1KDDyOz8AdjGMkiSBe1bNe+r+IsudfZmMhEM+o+Bsc3nOuy4prRQ6bPfTlD4KrTMKwfvoH5tzrNyaYNMKW7pRKNCiEPm7H/AynV/8A3Xffz8RHLerj0LG9QqWm4yEh1wPO6MgfUWc36S0Uuiw7aMAowA1XjAKzRUXBLoCQkeRj5hVUK2pgcu13EcmW0sb9UjYunCb9v/lPXrltBrg6teNU8pcBn56ghsc8Rjye+/RyY3sgEeMQnReivqNQtHzcdEZhdx9FBgeKWivZjQkPfajHpn2Z7vcQ/aX1XfANQmrC7Sz60m6vficc23MHaR1iFHImnRNWh54bgfd8kEh5Up7jEK0hZQrJPbapOA5FLoWPnqjkLePAsOB63do6p11qzKRg1QJjHXLjTTRKMgxmfofZC334VmQ+Xpk1fTz6FOrvz1Iu869Qovufcp3LeS6Y9QjaOgFo9BccUGgKyC06HJvXa7RhWN36XlNmgkbBN5H2rj/WQbE1qDInA3p8yjw+P88j4KfFqMGuJp14xjnUcgbuMj6e+/Sse/vWBsVm+tZCwXPx0WbtiPBt2YYVDER43N0c0v5WLvb0Q2bqkcC5Z0nMsYhz+p/YNE/geHhSrP355iEtS7dG/+qlyqVlfKkgffBDM08CsZyJYWGGwUps/YeuUPfd8oa22OU1pVc74+P3igoZiAxDKqYiGg6kbf+162NQpvmUTBdQ9vlAs+fwNcjfTI0f4jaN35Cy1f/nJHylEQMGuZRgFohGIXmigsCXQGhRzM06tYNOn3ECQzduQni64fDeZpnZpZtmgIFZXlGjq/MAs1wQB9fLh9hXh5ODBftp8AtDYdfNH+kOYWKfx+dx8AhCFzsUgzCdKrs81IppTWjEoqdTzgMqvNZGT9I2xtKwBAMgzpJd8/7qUO9Ddqem3TWT/Y5CAyHFsdAzL5GNxRjYZejn5UCpC7XHJMCz8ws+0vOzOxsR9KXuAUhmPNB7afwKV1bfYHuLZhbF4ZzZuboO6hfR+UaXTx5z08bvE/7n/dna9auWxNifpxjjE9CaUbT18camSvBCWITQ2tKasvXafI3v/LnUbhKG/95nCYXk/MiBMGwFmcbb79Ja1ejtemy3H7m33Aeh+hx1UlWCpCy3A3uzS0KfB14Pf3MzJK+xOeumLRIPwVuafgxLaQYKMzMDLVKMArNFRcEugLCiG8MJODevf8uvXLmRuqHUPopJINbJbgUImZBk1KTUetoTnUKP8LxwMJNQ3I/6s6yI7foYkqQa+wwnbuGMzweqw6/DmKE2HTpjFC95D+fsNXAC55d4qlGW2u0PT+tGAAO+F+i7bVoh0qPTbrRnUkxCw5TXbru33s1cGfTkNyeGrwLMbOQMCfprQqcdsTrJfsPKC0oc2eDY3SPgdOQ3H4XSbMTx7z9JJxyxOtmTcw2CNRUHd1yFyX41lMkwK4IKQ9ymWa/PMz1G0ZaBrxg0CWRGuME5uvdyEzL3OfgxPo7mrJbDeL1xFsnrGusNX0fotjXqJeLGrz7aFO4TMuTsEng9RL9B4L0padp7j/VPh9eGpJr9njW7Pd09ybEuP0YaovPh5+YKzJ08HtVVE6JBUH2glForrgg0BUQZWKsha8ANYe/7GBats3nkdi2HxjstsxF5pmNj+zJHi5Rpf/RliqkwPmUiwTUuknJnGVuOk+yzwOnAXGwnJXPXxbcksD74yCdjYpunaJwqpHttmVdpuzjKIT7/BTLzW8i7kAJu3P003EI0pUKpB2VR4+2PvpfNLmozMqsLrv8umc2YkaEc/E5EOXc/HD90UY6eeftQGyDXG+bbfdzb/h7U1QwClAuwSg0V1wQ6AqIspGOxvyvbnmZcGdm3leZefxsDKRlJDnU6zW6dCZHYOCYCh4FxdpUOHBrDO87q/9FLRQ4n9KRfgLG4Un1Q42yQeBgObOfQomofSPKCtJ5O2J6OP1It46KdKzOGkJ1cHgjZXGrgn2LVDORWd5zmWb/HcrfmlAyUtttrC33a95jRoFrqjkYZfLWWrcZ7jzM18QmPcgWbiHgfgmMzbWW1p7sjtVJ+JtTVDAKUC7BKDRXXBDoCogqELPAAXzVqTOyL04V6ncGYzYG5vQpB/7IH75LZy6ZzslLy+Gawj9f2qYXc6QX8HUS48MmoerrZkfx86mM1OFUHWSOBSX1iOEAW1Jw9OlH1SApQhzcJ/sr5IOPm/sk8PZs04hk/UGeczZ+fyTnWTK/Sw3EbU30Ug4vrfBACXn6JTA8GMQO7d7tbON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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": { | |
"image/png": { | |
"height": 300, | |
"width": 500 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image(\"./logistic_cost_2.PNG\", width=500, height=300)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.5 Example of Binary Classfication\n", | |
"\n", | |
"cast(condition, datatype) : if condition is right then **return 1**, else **return 0**\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"WARNING:tensorflow:From C:\\Users\\helov\\Anaconda3\\lib\\site-packages\\tensorflow\\python\\framework\\op_def_library.py:263: colocate_with (from tensorflow.python.framework.ops) is deprecated and will be removed in a future version.\n", | |
"Instructions for updating:\n", | |
"Colocations handled automatically by placer.\n", | |
"0 2.3466444\n", | |
"500 0.45920214\n", | |
"1000 0.41839734\n", | |
"1500 0.383908\n", | |
"2000 0.35402396\n", | |
"2500 0.32783878\n", | |
"3000 0.30476785\n", | |
"3500 0.28436372\n", | |
"4000 0.2662547\n", | |
"4500 0.25012428\n", | |
"5000 0.23570235\n", | |
"5500 0.22275817\n", | |
"6000 0.21109565\n", | |
"6500 0.20054789\n", | |
"7000 0.1909731\n", | |
"7500 0.18225026\n", | |
"8000 0.17427641\n", | |
"8500 0.16696328\n", | |
"9000 0.1602353\n", | |
"9500 0.1540273\n", | |
"10000 0.14828292\n", | |
"\n", | |
"model : [[0.03023124]\n", | |
" [0.1581488 ]\n", | |
" [0.30242884]\n", | |
" [0.78249955]\n", | |
" [0.9402779 ]\n", | |
" [0.98040545]] \n", | |
"Correct : [[0.]\n", | |
" [0.]\n", | |
" [0.]\n", | |
" [1.]\n", | |
" [1.]\n", | |
" [1.]] \n", | |
"Accuracy : 1.0\n" | |
] | |
} | |
], | |
"source": [ | |
"import tensorflow as tf\n", | |
"\n", | |
"x_data = [[1,2],[2,3],[3,1],[4,3],[5,3],[6,2]]\n", | |
"y_data = [[0], [0],[0],[1],[1],[1]]\n", | |
"\n", | |
"X = tf.placeholder(tf.float32, shape=[None, 2])\n", | |
"Y = tf.placeholder(tf.float32, shape=[None,1])\n", | |
"\n", | |
"W= tf.Variable(tf.random_normal([2,1]))\n", | |
"b= tf.Variable(tf.random_normal([1]))\n", | |
"\n", | |
"model = tf.sigmoid(tf.add(tf.matmul(X, W),b))\n", | |
"cost = tf.reduce_mean((-1)*Y*tf.log(model) + (-1)*(1-Y)*tf.log(1-model))\n", | |
"train = tf.train.GradientDescentOptimizer(0.01).minimize(cost)\n", | |
"\n", | |
"prediction = tf.cast(model>0.5, dtype=tf.float32)\n", | |
"accuracy = tf.reduce_mean(tf.cast(tf.equal(prediction,Y), dtype=tf.float32))\n", | |
"\n", | |
"with tf.Session() as sess:\n", | |
" sess.run(tf.global_variables_initializer())\n", | |
" for step in range(10001):\n", | |
" cost_val, train_val = sess.run([cost, train], feed_dict={X:x_data, Y:y_data})\n", | |
" if step%500 ==0:\n", | |
" print(step, cost_val)\n", | |
" \n", | |
" h, c, a = sess.run([model, prediction, accuracy], feed_dict= {X:x_data, Y:y_data})\n", | |
" print(\"\\nmodel :\",h, \"\\nCorrect : \", c,\"\\nAccuracy : \", a)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.6 Example with Excel\n", | |
"\n", | |
"np.loadtxt() : 파일을 읽어오는 함수, float32 : 전체 데이타가 같은 타입이어야한다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import tensorflow as tf\n", | |
"import numpy as np\n", | |
"\n", | |
"xy = np.loadtxt('data-diabetes.csv', delimiter=',', dtype=np.float32) \n", | |
"x_data = xy[:, 0:-1] # every data but last\n", | |
"y_data = xy[:,[-1]] # only last column\n", | |
"\n", | |
"X = tf.placeholder(tf.float32, shape=[None, x_data.shape[1]])\n", | |
"Y = tf.placeholder(tf.float32, shape=[None, 1])\n", | |
"W = tf.Variable(tf.random_normal([x_data.shape[1], 1]))\n", | |
"b = tf.Variable(tf.random_normal([1]))\n", | |
"\n", | |
"model = tf.sigmoid(tf.matmul(X,W)+b)\n", | |
"cost = tf.reduce_mean((-1)*Y*tf.log(model) +(-1)*(1-Y)*(1-model))\n", | |
"train = tf.train.GradientDescentOptimizer(0.01).minimize(cost)\n", | |
"\n", | |
"prediction = tf.cast(model>0.5, dtype=tf.float32)\n", | |
"accuracy = tf.reduce_mean(tf.cast(tf.equal(prediction,Y), dtype=tf.float32))\n", | |
"\n", | |
"with tf.Session() as sess:\n", | |
" sess.run(tf.global_variables_initializer())\n", | |
" \n", | |
" for step in range(100000):\n", | |
" c, _ = sess.run([cost,train], feed_dict = {X:x_data, Y:y_data})\n", | |
" if step%5000 ==0:\n", | |
" print(step, c)\n", | |
" \n", | |
" h, c, a = sess.run([model, prediction, accuracy], feed_dict={X:x_data, Y:y_data})\n", | |
" print(\"\\nAccuracy : \", a)\n", | |
" \n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Queue Runners\n", | |
"- 여러개의 파일을 한번에 읽어올 때\n", | |
"\n", | |
"\n", | |
"- 파일을 읽어와 filename queue에 쌓아놓고, 그것을 reader로 읽어 디코딩 한 후, example queue에 쌓아놓아 미니배치로 불러온다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image(\"./queue_run.PNG\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"1. list file\n", | |
"filename_queue = tf.train.string_input_producer(['filename.csv', ....], shuffle=False, name='filename_queue')\n", | |
"\n", | |
"\n", | |
"2. read text\n", | |
"reader = tf.TextLineReader()\n", | |
"key, value = reader.read(filename_queue)\n", | |
"\n", | |
"3. decoding\n", | |
"record_defaults = [[0.],[0.],[0.],[0.]]\n", | |
"xy = tf.decode_csv(value, record_defaults=record_defaults) : how to parse the value\n", | |
"\n", | |
"**It doesn't work for my laptop**" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Lab 4 Multi-variable linear regression\n", | |
"# https://www.tensorflow.org/programmers_guide/reading_data\n", | |
"\n", | |
"import tensorflow as tf\n", | |
"tf.set_random_seed(777) # for reproducibility\n", | |
"\n", | |
"filename_queue = tf.train.string_input_producer(\n", | |
" ['data-01-test-score.csv'], shuffle=False, name='filename_queue')\n", | |
"\n", | |
"reader = tf.TextLineReader()\n", | |
"key, value = reader.read(filename_queue)\n", | |
"\n", | |
"# Default values, in case of empty columns. Also specifies the type of the\n", | |
"# decoded result.\n", | |
"record_defaults = [[0.], [0.], [0.], [0.]]\n", | |
"xy = tf.decode_csv(value, record_defaults=record_defaults)\n", | |
"\n", | |
"# collect batches of csv in\n", | |
"train_x_batch, train_y_batch = \\\n", | |
" tf.train.batch([xy[0:-1], xy[-1:]], batch_size=10)\n", | |
"\n", | |
"# placeholders for a tensor that will be always fed.\n", | |
"X = tf.placeholder(tf.float32, shape=[None, 3])\n", | |
"Y = tf.placeholder(tf.float32, shape=[None, 1])\n", | |
"\n", | |
"W = tf.Variable(tf.random_normal([3, 1]), name='weight')\n", | |
"b = tf.Variable(tf.random_normal([1]), name='bias')\n", | |
"\n", | |
"# Hypothesis\n", | |
"hypothesis = tf.matmul(X, W) + b\n", | |
"\n", | |
"# Simplified cost/loss function\n", | |
"cost = tf.reduce_mean(tf.square(hypothesis - Y))\n", | |
"\n", | |
"# Minimize\n", | |
"optimizer = tf.train.GradientDescentOptimizer(learning_rate=1e-5)\n", | |
"train = optimizer.minimize(cost)\n", | |
"\n", | |
"# Launch the graph in a session.\n", | |
"sess = tf.Session()\n", | |
"# Initializes global variables in the graph.\n", | |
"sess.run(tf.global_variables_initializer())\n", | |
"\n", | |
"# Start populating the filename queue.\n", | |
"coord = tf.train.Coordinator()\n", | |
"threads = tf.train.start_queue_runners(sess=sess, coord=coord)\n", | |
"\n", | |
"for step in range(2001):\n", | |
" x_batch, y_batch = sess.run([train_x_batch, train_y_batch])\n", | |
" cost_val, hy_val, _ = sess.run(\n", | |
" [cost, hypothesis, train], feed_dict={X: x_batch, Y: y_batch})\n", | |
" if step % 10 == 0:\n", | |
" print(step, \"Cost: \", cost_val, \"\\nPrediction:\\n\", hy_val)\n", | |
"\n", | |
"coord.request_stop()\n", | |
"coord.join(threads)\n", | |
"\n", | |
"# Ask my score\n", | |
"print(\"Your score will be \",\n", | |
" sess.run(hypothesis, feed_dict={X: [[100, 70, 101]]}))\n", | |
"\n", | |
"print(\"Other scores will be \",\n", | |
" sess.run(hypothesis, feed_dict={X: [[60, 70, 110], [90, 100, 80]]}))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.7 With Keras\n", | |
"\n", | |
"loss = 'binary_crossentropy' : cost function for sigmoid(logistic) function.\n", | |
"\n", | |
"optimizer = 'sgd' : Stochastic Gradient Descent(mini batch size = 1) " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"from keras.models import Sequential\n", | |
"from keras.layers import Dense\n", | |
"\n", | |
"# DATA\n", | |
"x_data = np.array([[1,2],[2,3],[3,1],[4,3],[5,3],[6,2]])\n", | |
"y_data = np.array([[0], [0],[0],[1],[1],[1]])\n", | |
"\n", | |
"# model, cost, train\n", | |
"model = Sequential()\n", | |
"model.add(Dense(1, activation='sigmoid'))\n", | |
"model.compile(loss='binary_crossentropy', optimizer='sgd', metrics=['accuracy'])\n", | |
"model.fit(x_data, y_data, epochs=100, verbose=0) # if epochs : 10000, accuracy would be 1.0\n", | |
"model.summary()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 1.7.1 With Keras and Excel\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"from keras.models import Sequential\n", | |
"from keras.layers import Dense\n", | |
"\n", | |
"# Data\n", | |
"xy = np.loadtxt('data-diabetes.csv', delimiter=',', dtype=np.float32)\n", | |
"x_data = xy[:,0:-1]\n", | |
"y_data = xy[:,[-1]]\n", | |
"\n", | |
"# model, cost, train\n", | |
"model = Sequential()\n", | |
"model.add(Dense(1, activation='sigmoid'))\n", | |
"model.compile(loss='binary_crossentropy',optimizer='sgd', metrics=['accuracy'])\n", | |
"model.fit(x_data, y_data, epochs=1000,verbose=0)\n", | |
"model.summary()" | |
] | |
}, | |
{ | |
"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": "3.7.4" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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