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Kyunghoon Kim
UNIST
Department of Mathematical Sciences
Aug 23, 2018
kyunghoon@unist.ac.kr
Naive Bayes Classification using Python3
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 2
Contents
Kyunghoon Kim (UNIST) Basic statistics using Python3 Aug 23, 2018
Chapter 1. Bayes Rule
Chapter 2. Classification
Chapter 3. Bayes & Classification
Chapter 4. Naive Bayes Classification
CH1. Bayes Rule
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 4
Probability
Probability : a way of quantifying the uncertainty associated with
events chosen from a some universe of events
확률 : 어떤 사건의 공간에서 특정 사건이 선택될 때 발생하는 불확실성을 측정하는 방법
"the probability of the event E"P(E)<latexit sha1_base64="keNIStIHW7F6nx85vrte+4f41yY=">AAACyXicjVHLSsNAFD2Nr1pfVZduQluhIpTEjS6LIghuKtgHtEWS6bTGpklMJmItrvwBt7ryr8Q/0L/wzjQFtYhOSHLm3HvOzL3XDlwnEobxltJmZufmF9KLmaXlldW17PpGLfLjkPEq810/bNhWxF3H41XhCJc3gpBbA9vldbt/JOP1Gx5Gju+di2HA2wOr5zldh1mCqFqhUjzeKVxk80bJUEufBmYC8uVca/cFQMXPvqKFDnwwxBiAw4Mg7MJCRE8TJgwExLUxIi4k5Kg4xz0ypI0pi1OGRWyfvj3aNRPWo730jJSa0SkuvSEpdWyTxqe8kLA8TVfxWDlL9jfvkfKUdxvS3068BsQKXBL7l26S+V+drEWgiwNVg0M1BYqR1bHEJVZdkTfXv1QlyCEgTuIOxUPCTCknfdaVJlK1y95aKv6uMiUr9yzJjfEhb0kDNn+OcxrU9kqmUTLPaNKHGK80tpBDkea5jzJOUEGVvK/wiCc8a6fatXar3Y1TtVSi2cS3pT18Aj6Gkeo=</latexit><latexit sha1_base64="gxcmSSCnJ8Gk9I9p2jGSaghzFN4=">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</latexit><latexit sha1_base64="gxcmSSCnJ8Gk9I9p2jGSaghzFN4=">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</latexit><latexit sha1_base64="BIZOmwFmF1AwuFt9CVCnk3w13l8=">AAACyXicjVHLSsNAFD2Nr1pfVZdugq1QNyVxo8uiCIKbCvYBtUiSTuvYvEwmYi2u/AG3+mPiH+hfeGccQS2iE5KcOfeeM3PvdWOfp8KyXnLG1PTM7Fx+vrCwuLS8Ulxda6ZRlnis4UV+lLRdJ2U+D1lDcOGzdpwwJ3B91nKHBzLeumZJyqPwVIxi1g2cQcj73HMEUc1yvXK4XT4vlqyqpZY5CWwNStCrHhWfcYYeInjIEIAhhCDsw0FKTwc2LMTEdTEmLiHEVZzhDgXSZpTFKMMhdkjfAe06mg1pLz1TpfboFJ/ehJQmtkgTUV5CWJ5mqnimnCX7m/dYecq7jejvaq+AWIELYv/SfWb+VydrEehjT9XAqaZYMbI6T7tkqivy5uaXqgQ5xMRJ3KN4QthTys8+m0qTqtplbx0Vf1WZkpV7T+dmeJO3pAHbP8c5CZo7Vduq2idWqbavR53HBjZRoXnuooYj1NEg70s84BFPxrFxZdwYtx+pRk5r1vFtGffv2i2QYQ==</latexit>
사건(명제나 예측)이 일어날 확신에 대한 0과 1 사이의 숫자.
1: 명제가 확실히 참이거나 예측이 실제로 일어났음.
0: 명제가 확실히 거짓이거나 예측이 실제로 안 일어남.
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 5
Conditional Probability
조건부 확률 : B라는 조건이 주어졌을 때(given that),
A가 발생할 확률
P(A | B)<latexit sha1_base64="QvJ1tV7eLkO4mwmiKVGlbdFRfMs=">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</latexit><latexit sha1_base64="KOedgVcmuhreq4+zeIGokjOxt28=">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</latexit><latexit sha1_base64="KOedgVcmuhreq4+zeIGokjOxt28=">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</latexit><latexit sha1_base64="AN2oWc+DrL+DjjEMmR+lbEO2qzc=">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</latexit>
Independent events Dependent events
사건 A와 B가 동시에 발생할 확률
P(A, B) = P(A)P(B)<latexit sha1_base64="rNWKNQhv2lMJZtRRTeXyqLzS9Uk=">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</latexit><latexit sha1_base64="+/EHptRWcmggVywN2FmaofaNqbs=">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</latexit><latexit sha1_base64="+/EHptRWcmggVywN2FmaofaNqbs=">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</latexit><latexit sha1_base64="JUmwVHCUwqPDZsVrsQEdRnB8ys0=">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</latexit>
P(A, B)<latexit sha1_base64="HUdgHDi91xUDiyMLOP3lz6ImTmQ=">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</latexit><latexit sha1_base64="ClEoqpJSKRqGYr9B/7GF+rld3MQ=">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</latexit><latexit sha1_base64="ClEoqpJSKRqGYr9B/7GF+rld3MQ=">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</latexit><latexit sha1_base64="WRD/snsD89v0yuj5jmQSfvyC4NE=">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</latexit>
P(A, B) = P(A | B)P(B)<latexit sha1_base64="cl3o6XTAe++qSNDgWXzRPYPl+h0=">AAAC4HicjVHLSsNAFD3GV31XXXYzWISKUhI3uhFs3biMYFvBiiTpqEPzIpkIRVy4cyduXblzq18j/oH+hXemKahFdEKSc8+958zcuW7si1Sa5tuIMTo2PjFZmJqemZ2bXyguLjXTKEs83vAiP0qOXCflvgh5Qwrp86M44U7g+rzldvdUvnXJk1RE4aHsxfwkcM5DcSY8RxJ1WizZlRrbYPU1tsPsCquxdiA6FNqV+tppsWxWTb3YMLByUN5daa8/ArCj4iva6CCChwwBOEJIwj4cpPQcw4KJmLgTXBGXEBI6z3GNadJmVMWpwiG2S99zio5zNqRYeaZa7dEuPr0JKRlWSRNRXUJY7cZ0PtPOiv3N+0p7qrP16O/mXgGxEhfE/qUbVP5Xp3qROMO27kFQT7FmVHde7pLpW1EnZ1+6kuQQE6dwh/IJYU8rB/fMtCbVvau7dXT+XVcqVsVeXpvhQ52SBmz9HOcwaG5WLbNqHdCk6+ivAkpYQYXmuYVd7MNGg7xv8IRnvBiucWvcGff9UmMk1yzj2zIePgHAQJfJ</latexit><latexit sha1_base64="rPg+gelnxoQpWILHFaJf6yO/05s=">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</latexit><latexit sha1_base64="rPg+gelnxoQpWILHFaJf6yO/05s=">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</latexit><latexit sha1_base64="foDhYvSTQb2HYGngvLmgbnIcuM0=">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</latexit>
P(A | B) =
P(A, B)
P(B)<latexit sha1_base64="NPO/VJZirwRWAtx4jGtXIjXyChk=">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</latexit><latexit sha1_base64="7fXITZqB2wkxPb++wwZkDQeiCBI=">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</latexit><latexit sha1_base64="7fXITZqB2wkxPb++wwZkDQeiCBI=">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</latexit><latexit sha1_base64="J71okO2mjMbWCXQykU2g7DqVhFM=">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</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 6
Bayes Rule
P(A|B) =
P(A  B)
P(B)
=
P(B|A)P(A)
P(B)<latexit sha1_base64="cYIMT1olaa5XEJPkpVJ9WLoym+c=">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</latexit><latexit sha1_base64="x1xHxAR5Cr4KZJZbxESPE5ClnAk=">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</latexit><latexit sha1_base64="x1xHxAR5Cr4KZJZbxESPE5ClnAk=">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</latexit><latexit sha1_base64="hMbjCS9S/9InDaPZ/iLCRdbx4xM=">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</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 7
Bayes Rule
P(A|B) =
P(A  B)
P(B)
=
P(B|A)P(A)
P(B)<latexit sha1_base64="cYIMT1olaa5XEJPkpVJ9WLoym+c=">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</latexit><latexit sha1_base64="x1xHxAR5Cr4KZJZbxESPE5ClnAk=">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</latexit><latexit sha1_base64="x1xHxAR5Cr4KZJZbxESPE5ClnAk=">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</latexit><latexit sha1_base64="hMbjCS9S/9InDaPZ/iLCRdbx4xM=">AAADA3icjVHNTttAGBzc8hd+GsqRy6oRUnJBDhe4gEh66TGVGkAiCK2XDVg4trVeV0KBI2/SW29Vr32BXqlU9Q3at+js1pEKCMFaXs/OfDPebzfKk7iwYfhrKnjxcnpmdm6+trC4tPyqvvJ6v8hKo3RfZUlmDiNZ6CROdd/GNtGHudFyFCX6ILp46/SDj9oUcZZ+sJe5Ph7JszQexkpaUif13V5TdIS4El3REjtiMDRSjXvNzkDJXHRb18ScazsToXvVaVGeCCf1RrgR+iEegnYFGqhGL6v/xACnyKBQYgSNFJY4gUTB5whthMjJHWNMzhDFXte4Ro3eklWaFZLsBeczro4qNuXaZRberfiXhK+hU2Cdnox1htj9TXi99MmOfSx77DPd3i75jaqsEVmLc7JP+SaVz/W5XiyG2PY9xOwp94zrTlUppT8Vt3PxX1eWCTk5h0+pG2LlnZNzFt5T+N7d2Uqv//aVjnVrVdWW+ON2yQtu37/Oh2B/c6NN/D5s7HWrq57DGt6gyfvcwh7eoYc+sz/hO27xI7gJPgdfgq//SoOpyrOKOyP49heXl6OE</latexit>
P(H|D) =
P(H  D)
P(D)
=
P(D|H)P(H)
P(D)<latexit sha1_base64="TD5n+I8aLG/dBRWeIwV6TpVfDCQ=">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</latexit><latexit sha1_base64="aFBRaFzod43F3j8JZIJb/oTsLO4=">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</latexit><latexit sha1_base64="aFBRaFzod43F3j8JZIJb/oTsLO4=">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</latexit><latexit sha1_base64="X5O0mW2ln/f1NxoQJv966GUixwI=">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</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 8
Bayes Rule
H1<latexit sha1_base64="XxrmQVLZQRXmdMeFqZX9fiB1U6A=">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</latexit><latexit sha1_base64="9lV47NDy6u/MXlNukdQsU4VioDQ=">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</latexit><latexit sha1_base64="9lV47NDy6u/MXlNukdQsU4VioDQ=">AAACxnicjVHLSsNAFD2Nr1pfVcGNm2ARXJXEjS5L3XTZon1ALSWZTuvQNAnJRClF8Afc6lf4F/6DuHGtf+GdaQpqEZ2Q5My595yZe68beiKWlvWaMRYWl5ZXsqu5tfWNza389k4jDpKI8ToLvCBquU7MPeHzuhTS460w4s7I9XjTHZ6pePOaR7EI/As5Dnln5Ax80RfMkUSdV7p2N1+wipZe5jywU1Ao7dXexFP5uRrkX3CJHgIwJBiBw4ck7MFBTE8bNiyExHUwIS4iJHSc4xY50iaUxSnDIXZI3wHt2inr0155xlrN6BSP3oiUJg5JE1BeRFidZup4op0V+5v3RHuqu43p76ZeI2Ilroj9SzfL/K9O1SLRx6muQVBNoWZUdSx1SXRX1M3NL1VJcgiJU7hH8Ygw08pZn02tiXXtqreOjr/rTMWqPUtzE3yoW9KA7Z/jnAeN46JNuEaTLmO6stjHAY5onicooYIq6uQ9wD0e8GhUDN9IjJtpqpFJNbv4toy7T5jPk44=</latexit><latexit sha1_base64="Y6wQyW7ERzJkoC27E87FSvnhaV0=">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</latexit>
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Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 9
Bayes Rule
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P(D) = P(D  H1) + P(D  H2) + P(D  H3)<latexit sha1_base64="kXXTW5lMHG6bNxqak3MOOPAlLes=">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</latexit><latexit sha1_base64="nkCBxfyosqzPwhVVGmtCpdQPmYk=">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</latexit><latexit sha1_base64="nkCBxfyosqzPwhVVGmtCpdQPmYk=">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</latexit><latexit sha1_base64="XkIsBDV/2YNW+NFJXImCOn4qy1U=">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</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 10
Bayes Rule
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H3<latexit sha1_base64="TlJFm8tuq494xU6tFZCgdGAPbg4=">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</latexit><latexit sha1_base64="DGML6VQMnCg3p1lQZSmS8l0AhWs=">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</latexit><latexit sha1_base64="DGML6VQMnCg3p1lQZSmS8l0AhWs=">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</latexit><latexit sha1_base64="xCnspJiOUIT4zU+EOwWIPNgHBHU=">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</latexit>
D<latexit sha1_base64="ZjLNKWJr+PlcXVfjcITP9ZuaAIk=">AAACxHicjVHLSsNAFD2Nr1pfVZdugkVwVRI3uhGLirhswT6gFknSaR2cJmEyEUpR3LvVb/ITxD/Qv/DONAW1iE5Icubcc87MnfFjwRPlOG85a2Z2bn4hv1hYWl5ZXSuubzSSKJUBqweRiGTL9xImeMjqiivBWrFk3sAXrOnfnOh685bJhEfhhRrGrDPw+iHv8cBTRNVOr4olp+yYYU8DNwOlo5fC4QOAalR8xSW6iBAgxQAMIRRhAQ8JPW24cBAT18GIOEmImzrDHQrkTUnFSOERe0PfPs3aGRvSXGcmxh3QKoJeSU4bO+SJSCcJ69VsU09NsmZ/yx6ZTL23If39LGtArMI1sX/5Jsr/+nQvCj0cmB449RQbRncXZCmpORW9c/tLV4oSYuI07lJdEg6Mc3LOtvEkpnd9tp6pvxulZvU8yLQpPvQu6YLdn9c5DRp7ZZdwzSlVjjEeeWxhG7t0n/uo4BxV1E32I57wbJ1ZwkqsdCy1cplnE9+Gdf8J6dGREg==</latexit><latexit sha1_base64="zVSMEyBujIiWUHCtWlAGlOr51ds=">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</latexit><latexit sha1_base64="zVSMEyBujIiWUHCtWlAGlOr51ds=">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</latexit><latexit sha1_base64="ZLVsUj0hD+xfEfcE7MrceiTnwY4=">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</latexit>
P(D) = P(D  H1) + P(D  H2) + P(D  H3)<latexit sha1_base64="kXXTW5lMHG6bNxqak3MOOPAlLes=">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</latexit><latexit sha1_base64="nkCBxfyosqzPwhVVGmtCpdQPmYk=">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</latexit><latexit sha1_base64="nkCBxfyosqzPwhVVGmtCpdQPmYk=">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</latexit><latexit sha1_base64="XkIsBDV/2YNW+NFJXImCOn4qy1U=">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</latexit>
=
3X
i=1
P(Hi)P(D|Hi)
<latexit sha1_base64="NG6taZJOlSXUUYEbZZW54g1G2Hs=">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</latexit><latexit sha1_base64="Si9p4RIlF3sFHXz38cTwo/6hoaU=">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</latexit><latexit sha1_base64="Si9p4RIlF3sFHXz38cTwo/6hoaU=">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</latexit><latexit sha1_base64="xsBmO/UcJHU31AflYas77KFdtJk=">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</latexit>
(Law of Total Probability)
CH2. Classification
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 12
Classification
placing things where they belong
사물을 속한 곳에 갖다 놓기
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 13
Classification
placing things where they belong
사물을 속한 곳에 갖다 놓기
class
or
category
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 14
Classification
placing things where they belong
사물을 속한 곳에 갖다 놓기
class
or
category
classification
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 15
Classification
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 16
Classification
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 17
Classification
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 18
Classification
Red
Orange
Yellow
Green
Blue
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 19
Classification
Red
Orange
Yellow
Green
Blue
Round
Long
Gourd
Flat
...
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 20
Classifiers
Classifiers
분류기
Statistical
통계적
Structural
구조적
Regression
회귀
Naive Bayes
나이브 베이즈
Bayesian networks
베이지안 네트워크
Rule-based
규칙 기반
Distance-based
거리 기반
Neural Networks
신경망
Production rule
생성 규칙
Decision trees
결정 트리
kNN
(k-최근접 이웃)
Learning vector
quantization
학습 벡터 양자화
Multilayer
perceptron
다층 퍼셉트론
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 21
Lifecycle of a classifier
CH3. Bayes & Classification
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 23
Example 1. Cookie Problem
Bowl 1 Bowl 2
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 24
Example 1. Cookie Problem
Bowl 1 Bowl 2
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 25
Example 1. Cookie Problem
Bowl 1 Bowl 2
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 26
Example 1. Cookie Problem
Bowl 1 Bowl 2
Bowl 1? or Bowl 2?
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 27
Example 1. Cookie Problem
Bowl 1 Bowl 2
Bowl 1? or Bowl 2?
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 28
Example 1. Cookie Problem
Bowl 1 Bowl 2
P(H1|D) =
P(D|H1)P(H1)
P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 29
Example 1. Cookie Problem
Bowl 1 Bowl 2
P(H1|D) =
P(D|H1)P(H1)
P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit>
P(H1) =
1
2<latexit sha1_base64="uAD0upokikp8iaRFYyDV9JgA2IA=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">AAAC2XicjVHLSsNAFD3GV62v+gARN0ERdCNJN7oRim66rGAf0EpJxqkG82IyEbR04U7c+gNu9WvciW7c1r/wzpiCD0QnJDlz7j1n5t7rxr6XSMt6HjKGR0bHxnMT+cmp6ZnZwtx8LYlSwXiVRX4kGq6TcN8LeVV60ueNWHAncH1ed8/2Vbx+zkXiReGhvIj5UeCchF7HY44kql1YrGyU2/amuWu2OsJhXbvXLfbahTVry9LL/AnsDKyVdl4fl176y5Wo8IQWjhGBIUUAjhCSsA8HCT1N2LAQE3eELnGCkKfjHD3kSZtSFqcMh9gz+p7QrpmxIe2VZ6LVjE7x6RWkNLFOmojyBGF1mqnjqXZW7G/eXe2p7nZBfzfzCoiVOCX2L90g8786VYtEBzu6Bo9qijWjqmOZS6q7om5ufqpKkkNMnMLHFBeEmVYO+mxqTaJrV711dLyvMxWr9izLTfGmbkkDtr+P8yeoFbdswgc06T18rBxWsIoNmuc2Siijgip5X+IO93gwmsaVcW3cfKQaQ5lmAV+WcfsOxpWaSg==</latexit><latexit sha1_base64="aRUCtyUlbQMKQfW4uZlp5uWgY1Y=">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</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 30
Example 1. Cookie Problem
Bowl 1 Bowl 2
P(H1|D) =
P(D|H1)P(H1)
P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit>
P(H1) =
1
2<latexit sha1_base64="uAD0upokikp8iaRFYyDV9JgA2IA=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="aRUCtyUlbQMKQfW4uZlp5uWgY1Y=">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</latexit>
P(D|H1) =
4
6<latexit sha1_base64="mfwYApkdUgFIYl8IqYKqa2FNzrA=">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</latexit><latexit sha1_base64="CV2rBgwduSVdV/LSMUurCdnmvxo=">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</latexit><latexit sha1_base64="CV2rBgwduSVdV/LSMUurCdnmvxo=">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</latexit><latexit sha1_base64="RW+Q8F7wtfHidLfdMTwf9CDmSFY=">AAAC3HicjVHLSsNAFD2N73fUhQs3wSLUTUlE1I0g6qLLCtYKbS3JdKrBvJhMBKnduRO3/oBb/R7xD/QvvDOm4APRCUnOnHvPmXvnekngp9K2XwrG0PDI6Nj4xOTU9MzsnDm/cJzGmWC8xuIgFieem/LAj3hN+jLgJ4ngbugFvO5d7Kt4/ZKL1I+jI3mV8FbonkV+12euJKptLlVLB9eVtmOtWTtWsytc1tvo9zb7bbNol229rJ/AyUER+arG5jOa6CAGQ4YQHBEk4QAuUnoacGAjIa6FHnGCkK/jHH1MkjajLE4ZLrEX9D2jXSNnI9orz1SrGZ0S0CtIaWGVNDHlCcLqNEvHM+2s2N+8e9pT1XZFfy/3ComVOCf2L90g87861YtEF9u6B596SjSjumO5S6ZvRVVufepKkkNCnMIdigvCTCsH92xpTap7V3fr6virzlSs2rM8N8ObqpIG7Hwf509wvF52CB/axd29fNTjWMYKSjTPLeyigipquv4HPOLJODVujFvj7iPVKOSaRXxZxv07Z0+XNg==</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 31
Example 1. Cookie Problem
Bowl 1 Bowl 2
P(H1|D) =
P(D|H1)P(H1)
P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit>
P(H1) =
1
2<latexit sha1_base64="uAD0upokikp8iaRFYyDV9JgA2IA=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">AAAC2XicjVHLSsNAFD3GV62v+gARN0ERdCNJN7oRim66rGAf0EpJxqkG82IyEbR04U7c+gNu9WvciW7c1r/wzpiCD0QnJDlz7j1n5t7rxr6XSMt6HjKGR0bHxnMT+cmp6ZnZwtx8LYlSwXiVRX4kGq6TcN8LeVV60ueNWHAncH1ed8/2Vbx+zkXiReGhvIj5UeCchF7HY44kql1YrGyU2/amuWu2OsJhXbvXLfbahTVry9LL/AnsDKyVdl4fl176y5Wo8IQWjhGBIUUAjhCSsA8HCT1N2LAQE3eELnGCkKfjHD3kSZtSFqcMh9gz+p7QrpmxIe2VZ6LVjE7x6RWkNLFOmojyBGF1mqnjqXZW7G/eXe2p7nZBfzfzCoiVOCX2L90g8786VYtEBzu6Bo9qijWjqmOZS6q7om5ufqpKkkNMnMLHFBeEmVYO+mxqTaJrV711dLyvMxWr9izLTfGmbkkDtr+P8yeoFbdswgc06T18rBxWsIoNmuc2Siijgip5X+IO93gwmsaVcW3cfKQaQ5lmAV+WcfsOxpWaSg==</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="aRUCtyUlbQMKQfW4uZlp5uWgY1Y=">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</latexit>
P(D|H1) =
4
6<latexit sha1_base64="mfwYApkdUgFIYl8IqYKqa2FNzrA=">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</latexit><latexit sha1_base64="CV2rBgwduSVdV/LSMUurCdnmvxo=">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</latexit><latexit sha1_base64="CV2rBgwduSVdV/LSMUurCdnmvxo=">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</latexit><latexit sha1_base64="RW+Q8F7wtfHidLfdMTwf9CDmSFY=">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</latexit>
P(D) = P(H1)P(D|H1) + P(H2)P(D|H2)<latexit sha1_base64="F3p/wDUuNUKODDowkWmzQR4yZa0=">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</latexit><latexit sha1_base64="s6P2kfbsrKbrqd7m1dgIxrZYILM=">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</latexit><latexit sha1_base64="s6P2kfbsrKbrqd7m1dgIxrZYILM=">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</latexit><latexit sha1_base64="mUPAnyeNY2upk2vEb9NsMvwg0k8=">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</latexit>
= 1/2 ⇤ 4/6 + 1/2 ⇤ 1/4 = 11/24<latexit sha1_base64="r8A7mGQ0fcgOub5OlKm84xq0wcA=">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</latexit><latexit sha1_base64="BH8e/ThFO74LInywMx+dhV7sy6Y=">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</latexit><latexit sha1_base64="BH8e/ThFO74LInywMx+dhV7sy6Y=">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</latexit><latexit sha1_base64="fxB+XbzqIAoKP+DlBqiB7NOwDRY=">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</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 32
Example 1. Cookie Problem
Bowl 1 Bowl 2
P(H1|D) =
P(D|H1)P(H1)
P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit>
=
4
6 ⇥ 1
2
11
24
=
8
11<latexit sha1_base64="QsKm5MmoeIl5xNxZW8wzEhQcBIk=">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</latexit><latexit sha1_base64="s5rQjkO4l4jVtnPV+bhuV4D89LM=">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</latexit><latexit sha1_base64="s5rQjkO4l4jVtnPV+bhuV4D89LM=">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</latexit><latexit sha1_base64="NfzD+15dj4T1NSme7n3RIJHEyzA=">AAADCXicjVHLShxBFD12TKLm4RiXbhqHQFZDt4i6EQZ14VLBeYAj0l3WmMJ+UV0tDE19Qf7EnTtxmx/ITsYv0L/wVk0N+CAk1XT1uefec7pu3bhIRKmCYDzjvZt9/+Hj3PzCp89fvi42lr51y7ySjHdYnuSyH0clT0TGO0qohPcLyaM0Tngvvtg1+d4ll6XIsyM1KvhJGp1nYihYpIg6bext+4OhjFg92dd1vaEHSqS8dHyo6zWtXTo00brW/lS1pQ132mgGrcAu/y0IHWjCrYO8cYcBzpCDoUIKjgyKcIIIJT3HCBGgIO4ENXGSkLB5Do0F0lZUxakiIvaC9nOKjh2bUWw8S6tm9JeEXklKH99Jk1OdJGz+5tt8ZZ0N+zfv2nqas43oGzuvlFiFn8T+Szet/F+d6UVhiC3bg6CeCsuY7phzqeytmJP7z7pS5FAQZ/AZ5SVhZpXTe/atprS9m7uNbP7BVhrWxMzVVng0p6QBh6/H+RZ011oh4cOg2d5xo57DClbxg+a5iTb2cYAOeV/hD8a49355196Ndzsp9WacZhkvlvf7CQNwqv8=</latexit>
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 33
Example 1. Cookie Problem
Bowl 1 Bowl 2
H 1? or H 2?
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 34
Example 1. Cookie Problem
import random
bowl_1 = ["R1", "R1", "R1", "R1", "B1", "B1"]
bowl_2 = ["R2", "B2", "B2", "B2"]
random.choice(bowl_1)
'B1'
'R1'
...
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 35
Example 1. Cookie Problem
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 36
Example 1. Cookie Problem
Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 37
Example 1. Cookie Problem
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python
Naive Bayes Classification in Python

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Naive Bayes Classification in Python

  • 1. Kyunghoon Kim UNIST Department of Mathematical Sciences Aug 23, 2018 kyunghoon@unist.ac.kr Naive Bayes Classification using Python3
  • 2. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 2 Contents Kyunghoon Kim (UNIST) Basic statistics using Python3 Aug 23, 2018 Chapter 1. Bayes Rule Chapter 2. Classification Chapter 3. Bayes & Classification Chapter 4. Naive Bayes Classification
  • 4. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 4 Probability Probability : a way of quantifying the uncertainty associated with events chosen from a some universe of events 확률 : 어떤 사건의 공간에서 특정 사건이 선택될 때 발생하는 불확실성을 측정하는 방법 "the probability of the event E"P(E)<latexit sha1_base64="keNIStIHW7F6nx85vrte+4f41yY=">AAACyXicjVHLSsNAFD2Nr1pfVZduQluhIpTEjS6LIghuKtgHtEWS6bTGpklMJmItrvwBt7ryr8Q/0L/wzjQFtYhOSHLm3HvOzL3XDlwnEobxltJmZufmF9KLmaXlldW17PpGLfLjkPEq810/bNhWxF3H41XhCJc3gpBbA9vldbt/JOP1Gx5Gju+di2HA2wOr5zldh1mCqFqhUjzeKVxk80bJUEufBmYC8uVca/cFQMXPvqKFDnwwxBiAw4Mg7MJCRE8TJgwExLUxIi4k5Kg4xz0ypI0pi1OGRWyfvj3aNRPWo730jJSa0SkuvSEpdWyTxqe8kLA8TVfxWDlL9jfvkfKUdxvS3068BsQKXBL7l26S+V+drEWgiwNVg0M1BYqR1bHEJVZdkTfXv1QlyCEgTuIOxUPCTCknfdaVJlK1y95aKv6uMiUr9yzJjfEhb0kDNn+OcxrU9kqmUTLPaNKHGK80tpBDkea5jzJOUEGVvK/wiCc8a6fatXar3Y1TtVSi2cS3pT18Aj6Gkeo=</latexit><latexit sha1_base64="gxcmSSCnJ8Gk9I9p2jGSaghzFN4=">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</latexit><latexit sha1_base64="gxcmSSCnJ8Gk9I9p2jGSaghzFN4=">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</latexit><latexit sha1_base64="BIZOmwFmF1AwuFt9CVCnk3w13l8=">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</latexit> 사건(명제나 예측)이 일어날 확신에 대한 0과 1 사이의 숫자. 1: 명제가 확실히 참이거나 예측이 실제로 일어났음. 0: 명제가 확실히 거짓이거나 예측이 실제로 안 일어남.
  • 5. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 5 Conditional Probability 조건부 확률 : B라는 조건이 주어졌을 때(given that), A가 발생할 확률 P(A | B)<latexit sha1_base64="QvJ1tV7eLkO4mwmiKVGlbdFRfMs=">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</latexit><latexit sha1_base64="KOedgVcmuhreq4+zeIGokjOxt28=">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</latexit><latexit sha1_base64="KOedgVcmuhreq4+zeIGokjOxt28=">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</latexit><latexit sha1_base64="AN2oWc+DrL+DjjEMmR+lbEO2qzc=">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</latexit> Independent events Dependent events 사건 A와 B가 동시에 발생할 확률 P(A, B) = P(A)P(B)<latexit sha1_base64="rNWKNQhv2lMJZtRRTeXyqLzS9Uk=">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</latexit><latexit sha1_base64="+/EHptRWcmggVywN2FmaofaNqbs=">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</latexit><latexit sha1_base64="+/EHptRWcmggVywN2FmaofaNqbs=">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</latexit><latexit sha1_base64="JUmwVHCUwqPDZsVrsQEdRnB8ys0=">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</latexit> P(A, B)<latexit sha1_base64="HUdgHDi91xUDiyMLOP3lz6ImTmQ=">AAACy3icjVHLSsNAFD2Nr1pfVZduQotQUUriRpe1btwIFewD2iJJOq2heZGZCLW69Afc6sK/Ev9A/8I70xTUIjohyZlzz7kz91478lwuDOMto83NLywuZZdzK6tr6xv5za0GD5PYYXUn9MK4ZVuceW7A6sIVHmtFMbN822NNe3gq480bFnM3DC7FKGJd3xoEbt91LEFUq1Y60Q/06t5VvmiUDbX0WWCmoFgpdPZfANTC/Cs66CGEgwQ+GAIIwh4scHraMGEgIq6LMXExIVfFGe6RI29CKkYKi9ghfQe0a6dsQHuZkyu3Q6d49Mbk1LFLnpB0MWF5mq7iicos2d9yj1VOebcR/e00l0+swDWxf/mmyv/6ZC0CfRyrGlyqKVKMrM5JsySqK/Lm+peqBGWIiJO4R/GYsKOc0z7rysNV7bK3loq/K6Vk5d5JtQk+5C1pwObPcc6CxmHZNMrmBU26isnKYgcFlGieR6jgDDXU1Rwf8YRn7Vzj2q12N5FqmdSzjW9Le/gEdbeSYA==</latexit><latexit sha1_base64="ClEoqpJSKRqGYr9B/7GF+rld3MQ=">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</latexit><latexit 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sha1_base64="WRD/snsD89v0yuj5jmQSfvyC4NE=">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</latexit> P(A, B) = P(A | B)P(B)<latexit sha1_base64="cl3o6XTAe++qSNDgWXzRPYPl+h0=">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</latexit><latexit 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sha1_base64="foDhYvSTQb2HYGngvLmgbnIcuM0=">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</latexit> P(A | B) = P(A, B) P(B)<latexit 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  • 6. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 6 Bayes Rule P(A|B) = P(A B) P(B) = P(B|A)P(A) P(B)<latexit sha1_base64="cYIMT1olaa5XEJPkpVJ9WLoym+c=">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</latexit><latexit sha1_base64="x1xHxAR5Cr4KZJZbxESPE5ClnAk=">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</latexit><latexit sha1_base64="x1xHxAR5Cr4KZJZbxESPE5ClnAk=">AAADA3icjVFBT9RAGH0UVFxRV0i8eJkIJLsX0uWiF8zuevG4Ji6QsIRMh1lo6LbNdGpCFo7+C47cvBmP+Ae8amL8B3DiL/Bm6CYqMTBNp2/e+97rfDNRnsSFDcPfU8H0zL37D2Yf1h7NPX7ytP5sfr3ISqN0X2VJZjYjWegkTnXfxjbRm7nRchQleiM6eOv0jY/aFHGWfrCHud4eyb00HsZKWlI79Te9hugIcSS6oinWxGBopBr3Gp2BkrnoNo+JOdfWJkL3qNOkPBF26ovhSuiHuAlaFVhsty/Pz56fLPWy+i8MsIsMCiVG0EhhiRNIFHy20EKInNw2xuQMUex1jWPU6C1ZpVkhyR5w3uNqq2JTrl1m4d2Kf0n4GjoFlunJWGeI3d+E10uf7Nj/ZY99ptvbIb9RlTUia7FP9jbfpPKuPteLxRCvfQ8xe8o947pTVUrpT8XtXPzRlWVCTs7hXeqGWHnn5JyF9xS+d3e20uvnvtKxbq2q2hIXbpe84Na/13kTrK+utIjf86a7uB6zeIGXaPA+X6GNd+ihz+xTfMcP/Aw+BZ+DL8HX69JgqvIs4K8RfLsCOD6nbQ==</latexit><latexit sha1_base64="hMbjCS9S/9InDaPZ/iLCRdbx4xM=">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</latexit>
  • 7. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 7 Bayes Rule P(A|B) = P(A B) P(B) = P(B|A)P(A) P(B)<latexit sha1_base64="cYIMT1olaa5XEJPkpVJ9WLoym+c=">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</latexit><latexit sha1_base64="x1xHxAR5Cr4KZJZbxESPE5ClnAk=">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</latexit><latexit 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  • 8. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 8 Bayes Rule H1<latexit sha1_base64="XxrmQVLZQRXmdMeFqZX9fiB1U6A=">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</latexit><latexit 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  • 9. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 9 Bayes Rule H1<latexit sha1_base64="XxrmQVLZQRXmdMeFqZX9fiB1U6A=">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</latexit><latexit 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  • 10. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 10 Bayes Rule H1<latexit sha1_base64="XxrmQVLZQRXmdMeFqZX9fiB1U6A=">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</latexit><latexit 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sha1_base64="xCnspJiOUIT4zU+EOwWIPNgHBHU=">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</latexit> D<latexit sha1_base64="ZjLNKWJr+PlcXVfjcITP9ZuaAIk=">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</latexit><latexit sha1_base64="zVSMEyBujIiWUHCtWlAGlOr51ds=">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</latexit><latexit sha1_base64="zVSMEyBujIiWUHCtWlAGlOr51ds=">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</latexit><latexit sha1_base64="ZLVsUj0hD+xfEfcE7MrceiTnwY4=">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</latexit> P(D) = P(D H1) + P(D H2) + P(D H3)<latexit sha1_base64="kXXTW5lMHG6bNxqak3MOOPAlLes=">AAAC+HicjVHLTttAFD24tDxbQlmyGYEqJYoU2WQBm0qIsmAZJAJIJIrsyUAt/JI9RkoRH8KOXcWWH2ALX4D4A/gLzgxGtEVVO5Y95557z/HcuUEWhYV23fsx5934+w8Tk1PTM7MfP83V5j/vFmmZS9WVaZTm+4FfqChMVFeHOlL7Wa78OIjUXnD8zeT3TlRehGmyo0eZ6sf+URIehtLXpAa1dqe+2RBfBbee9DOxNfBEo/karYiGaJqsqIi2aAxqy27LtUu8BV4FlteXes0LAJ20docehkghUSKGQgJNHMFHwecAHlxk5Po4JZcThTavcIZpaktWKVb4ZI/5PWJ0ULEJY+NZWLXkXyK+OZUCX6hJWZcTm78Jmy+ts2H/5n1qPc3ZRtyDyismq/Gd7L90L5X/qzO9aBxizfYQsqfMMqY7WbmU9lbMycUvXWk6ZOQMHjKfE0urfLlnYTWF7d3crW/zD7bSsCaWVW2JR3NKDtj7c5xvwe5KyyPe5qQ38LwmsYgl1DnPVaxjCx106X2Oa9zg1vnhXDg/ncvnUmes0izgt+VcPQE+oJ9x</latexit><latexit sha1_base64="nkCBxfyosqzPwhVVGmtCpdQPmYk=">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</latexit><latexit sha1_base64="nkCBxfyosqzPwhVVGmtCpdQPmYk=">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</latexit><latexit sha1_base64="XkIsBDV/2YNW+NFJXImCOn4qy1U=">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</latexit> = 3X i=1 P(Hi)P(D|Hi) <latexit sha1_base64="NG6taZJOlSXUUYEbZZW54g1G2Hs=">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</latexit><latexit sha1_base64="Si9p4RIlF3sFHXz38cTwo/6hoaU=">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</latexit><latexit sha1_base64="Si9p4RIlF3sFHXz38cTwo/6hoaU=">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</latexit><latexit sha1_base64="xsBmO/UcJHU31AflYas77KFdtJk=">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</latexit> (Law of Total Probability)
  • 12. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 12 Classification placing things where they belong 사물을 속한 곳에 갖다 놓기
  • 13. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 13 Classification placing things where they belong 사물을 속한 곳에 갖다 놓기 class or category
  • 14. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 14 Classification placing things where they belong 사물을 속한 곳에 갖다 놓기 class or category classification
  • 15. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 15 Classification
  • 16. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 16 Classification
  • 17. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 17 Classification
  • 18. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 18 Classification Red Orange Yellow Green Blue
  • 19. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 19 Classification Red Orange Yellow Green Blue Round Long Gourd Flat ...
  • 20. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 20 Classifiers Classifiers 분류기 Statistical 통계적 Structural 구조적 Regression 회귀 Naive Bayes 나이브 베이즈 Bayesian networks 베이지안 네트워크 Rule-based 규칙 기반 Distance-based 거리 기반 Neural Networks 신경망 Production rule 생성 규칙 Decision trees 결정 트리 kNN (k-최근접 이웃) Learning vector quantization 학습 벡터 양자화 Multilayer perceptron 다층 퍼셉트론
  • 21. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 21 Lifecycle of a classifier
  • 22. CH3. Bayes & Classification
  • 23. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 23 Example 1. Cookie Problem Bowl 1 Bowl 2
  • 24. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 24 Example 1. Cookie Problem Bowl 1 Bowl 2
  • 25. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 25 Example 1. Cookie Problem Bowl 1 Bowl 2
  • 26. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 26 Example 1. Cookie Problem Bowl 1 Bowl 2 Bowl 1? or Bowl 2?
  • 27. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 27 Example 1. Cookie Problem Bowl 1 Bowl 2 Bowl 1? or Bowl 2?
  • 28. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 28 Example 1. Cookie Problem Bowl 1 Bowl 2 P(H1|D) = P(D|H1)P(H1) P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">AAAC8XicjVHLSsNAFD3Gd31VXboZFKEFkcSNboSiLrqsYKtQpSTjVINpEiYTodT+hDt34tYfcKn+hPgHdeUveGeagg9EJyQ5c+49Z+be68WBnyjbfh2yhkdGx8YnJnNT0zOzc/n5hVoSpZKLKo+CSB55biICPxRV5atAHMVSuC0vEIfexa6OH14KmfhReKDasThpuWeh3/S5q4hq5NcqhXLDYVdsjxXZNjtuSpd3KoW9K80WWT9a7Gqq2G3kV+x12yz2EzgZWCmV3nuPACpR/gXHOEUEjhQtCIRQhAO4SOipw4GNmLgTdIiThHwTF+giR9qUsgRluMRe0PeMdvWMDWmvPROj5nRKQK8kJcMqaSLKk4T1aczEU+Os2d+8O8ZT361Nfy/zahGrcE7sX7pB5n91uhaFJrZMDT7VFBtGV8czl9R0Rd+cfapKkUNMnManFJeEuVEO+syMJjG16966Jt4zmZrVe57lpnjTt6QBO9/H+RPUNtYdwvs06R301wSWsIwCzXMTJZRRQZW8r/GAJzxbiXVj3Vp3/VRrKNMs4suy7j8Ad9if7A==</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit>
  • 29. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 29 Example 1. Cookie Problem Bowl 1 Bowl 2 P(H1|D) = P(D|H1)P(H1) P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">AAAC8XicjVHLSsNAFD2N73dVcONm8AEtiCRudCMUdeGygrWClZKMUw2mSZhMBKn9CXeCC3HrD7hwoz8h/oGu/AXvTCOoRXRCkjPn3nNm7r1eHPiJsu2XnNXT29c/MDg0PDI6Nj6Rn5zaS6JUclHhURDJfc9NROCHoqJ8FYj9WAq36QWi6p1u6nj1TMjEj8JddR6Lw6Z7HPoNn7uKqHp+qVzYrjvsgm2xIltntYZ0eatc2LrQbJF1osW2porten7eXrbNYt3AycB8qfT++jBzvVCO8s+o4QgROFI0IRBCEQ7gIqHnAA5sxMQdokWcJOSbuEAbw6RNKUtQhkvsKX2PaXeQsSHttWdi1JxOCeiVpGRYJE1EeZKwPo2ZeGqcNfubd8t46rud09/LvJrEKpwQ+5fuM/O/Ol2LQgNrpgafaooNo6vjmUtquqJvzr5UpcghJk7jI4pLwtwoP/vMjCYxteveuib+ajI1q/c8y03xpm9JA3Z+jrMb7K0sO4R3aNIb6KxBzGIOBZrnKkrYRhkV8r7EPR7xZCXWlXVj3XZSrVymmca3Zd19AETkoL4=</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit> P(H1) = 1 2<latexit sha1_base64="uAD0upokikp8iaRFYyDV9JgA2IA=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="aRUCtyUlbQMKQfW4uZlp5uWgY1Y=">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</latexit>
  • 30. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 30 Example 1. Cookie Problem Bowl 1 Bowl 2 P(H1|D) = P(D|H1)P(H1) P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit> P(H1) = 1 2<latexit sha1_base64="uAD0upokikp8iaRFYyDV9JgA2IA=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">AAAC2XicjVHLSsNAFD3GV62v+gARN0ERdCNJN7oRim66rGAf0EpJxqkG82IyEbR04U7c+gNu9WvciW7c1r/wzpiCD0QnJDlz7j1n5t7rxr6XSMt6HjKGR0bHxnMT+cmp6ZnZwtx8LYlSwXiVRX4kGq6TcN8LeVV60ueNWHAncH1ed8/2Vbx+zkXiReGhvIj5UeCchF7HY44kql1YrGyU2/amuWu2OsJhXbvXLfbahTVry9LL/AnsDKyVdl4fl176y5Wo8IQWjhGBIUUAjhCSsA8HCT1N2LAQE3eELnGCkKfjHD3kSZtSFqcMh9gz+p7QrpmxIe2VZ6LVjE7x6RWkNLFOmojyBGF1mqnjqXZW7G/eXe2p7nZBfzfzCoiVOCX2L90g8786VYtEBzu6Bo9qijWjqmOZS6q7om5ufqpKkkNMnMLHFBeEmVYO+mxqTaJrV711dLyvMxWr9izLTfGmbkkDtr+P8yeoFbdswgc06T18rBxWsIoNmuc2Siijgip5X+IO93gwmsaVcW3cfKQaQ5lmAV+WcfsOxpWaSg==</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="aRUCtyUlbQMKQfW4uZlp5uWgY1Y=">AAAC2XicjVHLSsNAFD2N7/qqj52bYBF0I0k3uhGKblxWsFpopUzGqQbTJEwmQi1duBO3/oBb/SHxD/QvvDNOQS2iE5KcOfeeM3PvDdIozJTnvRacsfGJyanpmeLs3PzCYmlp+SRLcslFnSdRIhsBy0QUxqKuQhWJRioF6waROA2uDnT89FrILEziY9VLxVmXXcRhJ+RMEdUurdY2D9v+lrvntjqS8b4/6FcG7VLZ2/bMckeBb0EZdtWS0gtaOEcCjhxdCMRQhCMwZPQ04cNDStwZ+sRJQqGJCwxQJG1OWYIyGLFX9L2gXdOyMe21Z2bUnE6J6JWkdLFBmoTyJGF9mmviuXHW7G/efeOp79ajf2C9usQqXBL7l26Y+V+drkWhg11TQ0g1pYbR1XHrkpuu6Ju7X6pS5JASp/E5xSVhbpTDPrtGk5nadW+Zib+ZTM3qPbe5Od71LWnA/s9xjoKTyrZP+MgrV/ftqKexhnVs0jx3UMUhaqiT9w0e8YRnp+ncOnfO/WeqU7CaFXxbzsMHvbmWMQ==</latexit> P(D|H1) = 4 6<latexit sha1_base64="mfwYApkdUgFIYl8IqYKqa2FNzrA=">AAAC3HicjVHLSsNAFD2N7/qqunDhZlAE3ZRERN0Ioi5cVrAP8FGS6VRD0yRMJoLU7tyJW3/Arf6LO3HlVv/CO2MKPhCdkOTMufecuXeuFwd+omz7OWf19Q8MDg2P5EfHxicmC1PTlSRKJRdlHgWRrHluIgI/FGXlq0DUYinctheIqtfa0fHquZCJH4UH6iIWx233NPSbPncVUfXCbGlp93Kv7rBltsmOmtLlndVuZ61bLyzYRdss9hM4GVjY2nh5ZABKUeEJR2ggAkeKNgRCKMIBXCT0HMKBjZi4Y3SIk4R8ExfoIk/alLIEZbjEtuh7SrvDjA1prz0To+Z0SkCvJCXDImkiypOE9WnMxFPjrNnfvDvGU9d2QX8v82oTq3BG7F+6XuZ/dboXhSY2TA8+9RQbRnfHM5fU3IqunH3qSpFDTJzGDYpLwtwoe/fMjCYxveu7dU381WRqVu95lpviTVdJA3a+j/MnqKwUHcL7NOltfKxhzGEeSzTPdWxhDyWUTf13uMeDdWJdWdfWzUeqlcs0M/iyrNt3cDyZfQ==</latexit><latexit sha1_base64="CV2rBgwduSVdV/LSMUurCdnmvxo=">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</latexit><latexit sha1_base64="CV2rBgwduSVdV/LSMUurCdnmvxo=">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</latexit><latexit sha1_base64="RW+Q8F7wtfHidLfdMTwf9CDmSFY=">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</latexit>
  • 31. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 31 Example 1. Cookie Problem Bowl 1 Bowl 2 P(H1|D) = P(D|H1)P(H1) P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit> P(H1) = 1 2<latexit sha1_base64="uAD0upokikp8iaRFYyDV9JgA2IA=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="+QIofMcoFLPo8RcTgYwkY/O6Ur0=">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</latexit><latexit sha1_base64="aRUCtyUlbQMKQfW4uZlp5uWgY1Y=">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</latexit> P(D|H1) = 4 6<latexit sha1_base64="mfwYApkdUgFIYl8IqYKqa2FNzrA=">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</latexit><latexit sha1_base64="CV2rBgwduSVdV/LSMUurCdnmvxo=">AAAC3HicjVHLSsNAFD3GV62vqosiboIi1I0kIupGKOqiywq2CrWWZDrV0DQJk4kgtTt34tYfcKv/4k5041b/wjtjBB+ITkhy5tx7ztw71418L5aW9dhn9A8MDg1nRrKjY+MTk7mp6WocJoLxCgv9UBy4Tsx9L+AV6UmfH0SCOx3X5/tue1vF90+5iL0w2JNnEa93nOPAa3nMkUQ1cvlyYee81LDNJXPTPGwJh3VXe921XiO3YC1bepk/gZ2CheLG833+6WW2HOYecIgmQjAk6IAjgCTsw0FMTw02LETE1dElThDydJyjhyxpE8rilOEQ26bvMe1qKRvQXnnGWs3oFJ9eQUoTi6QJKU8QVqeZOp5oZ8X+5t3Vnqq2M/q7qVeHWIkTYv/SfWT+V6d6kWhhQ/fgUU+RZlR3LHVJ9K2oys1PXUlyiIhTuElxQZhp5cc9m1oT697V3To6/qIzFav2LM1N8KqqpAHb38f5E1RXlm3CuzTpLbyvDOYwjwLNcx1FlFBGRdd/g1vcGUfGhXFpXL2nGn2pZgZflnH9BnArm08=</latexit><latexit sha1_base64="CV2rBgwduSVdV/LSMUurCdnmvxo=">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</latexit><latexit sha1_base64="RW+Q8F7wtfHidLfdMTwf9CDmSFY=">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</latexit> P(D) = P(H1)P(D|H1) + P(H2)P(D|H2)<latexit sha1_base64="F3p/wDUuNUKODDowkWmzQR4yZa0=">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</latexit><latexit sha1_base64="s6P2kfbsrKbrqd7m1dgIxrZYILM=">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</latexit><latexit sha1_base64="s6P2kfbsrKbrqd7m1dgIxrZYILM=">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</latexit><latexit sha1_base64="mUPAnyeNY2upk2vEb9NsMvwg0k8=">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</latexit> = 1/2 ⇤ 4/6 + 1/2 ⇤ 1/4 = 11/24<latexit sha1_base64="r8A7mGQ0fcgOub5OlKm84xq0wcA=">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</latexit><latexit sha1_base64="BH8e/ThFO74LInywMx+dhV7sy6Y=">AAAC33icjVHLSsRAECzja32vetPLoAii4CayqJeFRS8eFVwVVCSJo4bNJiGZCIsI3ryJBy/+gFf9G/EP9C+sGSP4QHRCkprqrprpbi8Jg0zZ9nOH1dnV3dNb6usfGBwaHimPjm1ncZ76suHHYZzuem4mwyCSDRWoUO4mqXRbXih3vOaaju+cyTQL4mhLtRN50HJPouA48F1F6rA8UXMqi3PVypKYFxo5laqoCYeweliethdss8RP4BRguj61P3/7XG9vxOUn7OMIMXzkaEEigiIO4SLjswcHNhJyBzgnlxIFJi5xgX5qc2ZJZrhkm/yecLdXsBH32jMzap+nhHxTKgVmqImZlxLr04SJ58ZZs795nxtPfbc2/17h1SKrcEr2L91H5n91uhaFY6yYGgLWlBhGV+cXLrnpir65+FSVokNCTuMjxlNi3yg/+iyMJjO16966Jv5iMjWr936Rm+NV35IDdr6P8yfYXlxwiDc56VW8rxImMYVZznMZdaxjAw16X+IeD3i0XOvKurZu3lOtjkIzji/LunsD1pqX/A==</latexit><latexit sha1_base64="BH8e/ThFO74LInywMx+dhV7sy6Y=">AAAC33icjVHLSsRAECzja32vetPLoAii4CayqJeFRS8eFVwVVCSJo4bNJiGZCIsI3ryJBy/+gFf9G/EP9C+sGSP4QHRCkprqrprpbi8Jg0zZ9nOH1dnV3dNb6usfGBwaHimPjm1ncZ76suHHYZzuem4mwyCSDRWoUO4mqXRbXih3vOaaju+cyTQL4mhLtRN50HJPouA48F1F6rA8UXMqi3PVypKYFxo5laqoCYeweliethdss8RP4BRguj61P3/7XG9vxOUn7OMIMXzkaEEigiIO4SLjswcHNhJyBzgnlxIFJi5xgX5qc2ZJZrhkm/yecLdXsBH32jMzap+nhHxTKgVmqImZlxLr04SJ58ZZs795nxtPfbc2/17h1SKrcEr2L91H5n91uhaFY6yYGgLWlBhGV+cXLrnpir65+FSVokNCTuMjxlNi3yg/+iyMJjO16966Jv5iMjWr936Rm+NV35IDdr6P8yfYXlxwiDc56VW8rxImMYVZznMZdaxjAw16X+IeD3i0XOvKurZu3lOtjkIzji/LunsD1pqX/A==</latexit><latexit sha1_base64="fxB+XbzqIAoKP+DlBqiB7NOwDRY=">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</latexit>
  • 32. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 32 Example 1. Cookie Problem Bowl 1 Bowl 2 P(H1|D) = P(D|H1)P(H1) P(D)<latexit sha1_base64="yCUSm38/LzIHYBWXobNo8qzlWh4=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="2FuIMjcoqzCxlObxLek5sKOio0Y=">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</latexit><latexit sha1_base64="GjsVessx3HPuvo0+C1WDY4ENzA0=">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</latexit> = 4 6 ⇥ 1 2 11 24 = 8 11<latexit 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sha1_base64="s5rQjkO4l4jVtnPV+bhuV4D89LM=">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</latexit><latexit sha1_base64="NfzD+15dj4T1NSme7n3RIJHEyzA=">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</latexit>
  • 33. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 33 Example 1. Cookie Problem Bowl 1 Bowl 2 H 1? or H 2?
  • 34. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 34 Example 1. Cookie Problem import random bowl_1 = ["R1", "R1", "R1", "R1", "B1", "B1"] bowl_2 = ["R2", "B2", "B2", "B2"] random.choice(bowl_1) 'B1' 'R1' ...
  • 35. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 35 Example 1. Cookie Problem
  • 36. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 36 Example 1. Cookie Problem
  • 37. Kyunghoon Kim (UNIST) / 81Naive Bayes Classification using Python3 Aug 23, 2018 37 Example 1. Cookie Problem