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Bayes theorem and Naive Bayes algorithm
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- 2. Luis Serrano Naive BayesClassifier
- 3. Bayes Theorem P(A B)= P(B A) P(B A) P(A) P(A)+ P(B Ac )P(Ac )
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- 6. Spam No spam SpamDetector 25 75
- 7. Spam No spam “Buy” SpamDetector 25 75
- 8. Spam No spam “Buy” SpamDetector 25 75
- 9. Spam No spam “Buy” SpamDetector 25 75
- 10. Spam No spam “Buy” SpamDetector
- 11. Spam No spam “Buy” SpamDetector Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam?
- 12. Spam No spam “Buy” SpamDetector 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam?
- 13. Spam No spam “Buy” SpamDetector 60% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam?
- 14. Spam No spam “Buy” SpamDetector 60% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam?
- 15. Spam No spam “Buy” SpamDetector 60% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100%
- 16. Spam No spam “Buy” SpamDetector 20 60% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100%
- 17. Spam No spam “Buy” SpamDetector 20 5 60% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100%
- 18. Spam No spam “Buy” SpamDetector 20 580% 20% 60% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100%
- 19. Spam No spam “Buy” SpamDetector 20 580% 20% 60% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100%
- 20. Spam No spam “Buy” SpamDetector 20 580% 20% 60% Solution: 80% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100%
- 21. Spam No spam “Buy” SpamDetector 20 580% 20% 60% Solution: 80% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100%
- 22. Spam No spam “Buy” SpamDetector 20 580% 20% 60% Solution: 80% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100% 80%
- 23. Spam No spam “Buy” 20580% 20% 60% Solution: 80% 80% 40%Quiz: If an e-mail contains the word “buy”, what is the probability that it is spam? 100% 80% Bayes Theorem
- 24. Spam No spam SpamDetector
- 25. Spam No spam SpamDetector “Cheap”
- 26. Spam No spam SpamDetector “Cheap”
- 27. Spam No spam SpamDetector “Cheap”
- 28. Spam No spam “Cheap” BayesTheorem
- 29. Spam No spam “Cheap” Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? Bayes Theorem
- 30. Spam No spam “Cheap” 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? Bayes Theorem
- 31. Spam No spam “Cheap” 60% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? Bayes Theorem
- 32. Spam No spam “Cheap” 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? Bayes Theorem
- 33. Spam No spam “Cheap” 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 100% Bayes Theorem
- 34. Spam No spam “Cheap” 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 100% Bayes Theorem
- 35. Spam No spam “Cheap” 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 100% Bayes Theorem
- 36. Spam No spam “Cheap” 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 100% Bayes Theorem
- 37. Spam No spam “Cheap” 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 15 100% Bayes Theorem
- 38. Spam No spam “Cheap” 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 15 10 100% Bayes Theorem
- 39. Spam No spam “Cheap” 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 15 1060% 40% 100% Bayes Theorem
- 40. Spam No spam “Cheap” 60% Solution: 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 15 1060% 40% 100% Bayes Theorem
- 41. Spam No spam “Cheap” 60% Solution: 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 15 1060% 40% 100% Bayes Theorem
- 42. Spam No spam “Cheap” 60% Solution: 60% 80% 40%Quiz:If an e-mail contains the word “cheap”, what is the probability that it is spam? 15 1060% 40% 100% 60% Bayes Theorem
- 43. Spam No spam SpamDetector “Buy” and “Cheap”
- 44. Spam No spam SpamDetector “Buy” and “Cheap”
- 45. Spam No spam SpamDetector “Buy” and “Cheap”
- 46. Spam No spam SpamDetector “Buy” and “Cheap”
- 47. Spam No spam SpamDetector “Buy” and “Cheap”
- 48. Spam No spam SpamDetector “Buy” and “Cheap”
- 49. Spam No spam SpamDetector “Buy” and “Cheap”
- 50. Spam No spam “Buy”and “Cheap” Spam Detector
- 51. Spam No spam “Buy”and “Cheap” Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? Spam Detector
- 52. Spam No spam “Buy”and “Cheap” 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? Spam Detector
- 53. Spam No spam “Buy”and “Cheap” 60% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? Spam Detector
- 54. Spam No spam “Buy”and “Cheap” 60% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? Spam Detector
- 55. Spam No spam “Buy”and “Cheap” 60% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 56. Spam No spam “Buy”and “Cheap” 60% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 57. Spam No spam “Buy”and “Cheap” 12 60% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 58. Spam No spam “Buy”and “Cheap” 12 60% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 59. Spam No spam “Buy”and “Cheap” 012 60% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 60. Spam No spam “Buy”and “Cheap” 00%12100% 60% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 61. Spam No spam “Buy”and “Cheap” 00%12100% 60% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 62. Spam No spam “Buy”and “Cheap” 00%12100% 60% Solution: 100% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 63. Spam No spam “Buy”and “Cheap” 00%12100% 60% Solution: 100% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% Spam Detector
- 64. Spam No spam “Buy”and “Cheap” 00%12100% 60% Solution: 100% 80% 40%Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 100% 100% ? Spam Detector
- 65. Problem Spam No spam “Buy”and “Cheap”
- 66. Problem Spam No spam “Buy”and “Cheap” 12 e-mails
- 67. Problem Spam No spam “Buy”and “Cheap” 12 e-mails 0 e-mails?
- 68.
- 69.
- 70.
- 71. Spam Detector Spam Nospam “Buy” and “Cheap” 12 e-mails 0 e-mails?
- 72. Spam Detector Spam Nospam “Buy” and “Cheap” 12 e-mails 0 e-mails? Guess?
- 73.
- 74.
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- 76.
- 77. Spam Detector 100 e-mails 5“Buy” 10 “Cheap”
- 78. Spam Detector 100 e-mails 5“Buy” 10 “Cheap”
- 79. Spam Detector 100 e-mails 5“Buy” 10 “Cheap” 5% “Buy”
- 80. Spam Detector 100 e-mails 5“Buy” 10 “Cheap” 5% “Buy” 10% “Cheap”
- 81. Spam Detector 100 e-mails 5“Buy” 10 “Cheap” 5% “Buy” 10% “Cheap”
- 82. Spam Detector 100 e-mails 5“Buy” 10 “Cheap” 5% “Buy” 10% “Cheap” 0.5% “Buy” and “Cheap”
- 83. Spam Detector 100 e-mails 5“Buy” 10 “Cheap” 5% “Buy” 10% “Cheap” 0.5% “Buy” and “Cheap”
- 84. Spam Detector 100 e-mails 5“Buy” 10 “Cheap” 5% “Buy” 10% “Cheap” 0.5% “Buy” and “Cheap” Independent
- 85. Spam Detector 100 e-mails 5“Buy” 10 “Cheap” 5% “Buy” 10% “Cheap” 0.5% “Buy” and “Cheap” Independent That’s naive!
- 86.
- 87.
- 88.
- 89.
- 90. Spam Spam Detector 25 e-mails 20“Buy” 4/5
- 91. Spam Spam Detector 25 e-mails 20“Buy” 4/5
- 92. Spam Spam Detector 25 e-mails 20“Buy” 15 Cheap 4/5
- 93. Spam Spam Detector 25 e-mails 20“Buy” 15 Cheap 4/5 3/5
- 94. Spam Spam Detector 25 e-mails 20“Buy” 15 Cheap 4/5 3/5
- 95. Spam Spam Detector 25 e-mails 20“Buy” 15 Cheap 4/5 3/5 12/25
- 96. Spam Spam Detector 25 e-mails 20“Buy” 15 Cheap 4/5 3/5 12/25 x 25
- 97. Spam Spam Detector 25 e-mails 20“Buy” 15 Cheap 4/5 3/5 12/25 = 12 “Buy” and “Cheap”x 25
- 98. Spam Spam Detector 25 e-mails 20“Buy” 15 Cheap 4/5 3/5 12/25 = 12 “Buy” and “Cheap”x 25
- 99.
- 100. No spam Spam Detector 75e-mails
- 101. No spam Spam Detector 75e-mails 5 “Buy”
- 102. No spam Spam Detector 75e-mails 5 “Buy” 1/15
- 103. No spam Spam Detector 75e-mails 5 “Buy” 10 “Cheap” 1/15
- 104. No spam Spam Detector 75e-mails 5 “Buy” 10 “Cheap” 1/15 2/15
- 105. No spam Spam Detector 75e-mails 5 “Buy” 10 “Cheap” 1/15 2/15 2/225
- 106. No spam Spam Detector 75e-mails 5 “Buy” 10 “Cheap” 1/15 2/15 2/225 x 75
- 107. No spam Spam Detector 75e-mails 5 “Buy” 10 “Cheap” 1/15 2/15 2/225 = 2/3 “Buy” and “Cheap”x 75
- 108. No spam Spam Detector 75e-mails 5 “Buy” 10 “Cheap” 1/15 2/15 2/225 = 2/3 “Buy” and “Cheap”x 75
- 109. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3
- 110. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3
- 111. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3 Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/312
- 112. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3 Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/312
- 113. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3 Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/31212 + 2/3 12
- 114. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3 = 38 36 Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/31212 + 2/3 12
- 115. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3 = 38 36 = 94.737% Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/31212 + 2/3 12
- 116. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3 = 38 36 = 94.737% 94.737% Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/31212 + 2/3 12
- 117. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3 5.263% = 38 36 = 94.737% 94.737% Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/31212 + 2/3 12
- 118. Spam No spam SpamDetector “Buy” and “Cheap” 12 2/3 5.263% = 38 36 = 94.737% 94.737% Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/31212 + 2/3 12 94.737%
- 119. Spam No spam “Buy”and “Cheap” 12 2/3 5.263% = 38 36 = 94.737% 94.737% Quiz: If an e-mail contains the words “buy” and “cheap”, what is the probability that it is spam? 12 2/31212 + 2/3 12 Naive Bayes Classifier 94.737%
- 120.
- 121. Total Buy Cheap Buy & Cheap NaiveBayes Spam No spam
- 122. Total Buy Cheap Buy & Cheap 25 NaiveBayes Spam No spam
- 123. Total Buy Cheap Buy & Cheap 2575 Naive Bayes Spam No spam
- 124. Total Buy Cheap Buy & Cheap 2575 20 Naive Bayes Spam No spam
- 125. Total Buy Cheap Buy & Cheap 2575 20 4/5 Naive Bayes Spam No spam
- 126. Total Buy Cheap Buy & Cheap 2575 20 4/5 5 Naive Bayes Spam No spam
- 127. Total Buy Cheap Buy & Cheap 2575 20 4/5 5 1/15 Naive Bayes Spam No spam
- 128. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 5 1/15 Naive Bayes Spam No spam
- 129. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 3/5 5 1/15 Naive Bayes Spam No spam
- 130. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 3/5 5 10 1/15 Naive Bayes Spam No spam
- 131. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 3/5 5 10 1/15 2/15 Naive Bayes Spam No spam
- 132. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 3/5 5 10 1/15 2/15 Naive Bayes Spam No spam
- 133. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 3/5 12/25 5 10 1/15 2/15 Naive Bayes Spam No spam
- 134. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 3/5 12/25 5 10 1/15 2/15 Naive Bayes Spam No spam
- 135. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 3/5 12/25 5 10 1/15 2/15 Naive Bayes Spam No spam
- 136. Total Buy Cheap Buy & Cheap 2575 20 15 4/5 3/5 12/25 5 10 1/15 2/15 Naive Bayes Spam No spam
- 137. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 1/15 2/15 Naive Bayes Spam No spam
- 138. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 1/15 2/15 Naive Bayes Spam No spam
- 139. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 1/15 2/15 Naive Bayes Spam No spam
- 140. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 1/15 2/15 2/225 Naive Bayes Spam No spam
- 141. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 1/15 2/15 2/225 Naive Bayes Spam No spam
- 142. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 1/15 2/15 2/225 Naive Bayes Spam No spam
- 143. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 1/15 2/15 2/225 Naive Bayes Spam No spam
- 144. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 2/3 1/15 2/15 2/225 Naive Bayes Spam No spam
- 145. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 2/3 1/15 2/15 2/225 Naive Bayes Spam No spam
- 146. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 2/3 1/15 2/15 2/225 Naive Bayes Spam No spam
- 147. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 2/3 1/15 2/15 2/225 Naive Bayes Spam No spam
- 148. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 2/3 1/15 2/15 2/225 12 + 2/3 12 Naive Bayes Spam No spam
- 149. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 2/3 1/15 2/15 2/225 = 38 36 12 + 2/3 12 Naive Bayes Spam No spam
- 150. Total Buy Cheap Buy & Cheap 2575 20 15 12 4/5 3/5 12/25 5 10 2/3 1/15 2/15 2/225 = 38 36 = 94.737% 12 + 2/3 12 Naive Bayes Spam No spam
- 151. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 Naive Bayes
- 152. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 Naive Bayes
- 153. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 30 Naive Bayes
- 154. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 Naive Bayes
- 155. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 Naive Bayes
- 156. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 Naive Bayes
- 157. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/125 Naive Bayes
- 158. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/125 Naive Bayes
- 159. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/125 Naive Bayes
- 160. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/125 Naive Bayes
- 161. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 Naive Bayes
- 162. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 Naive Bayes
- 163. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 Naive Bayes
- 164. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 12/3375 Naive Bayes
- 165. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 12/3375 Naive Bayes
- 166. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 12/3375 Naive Bayes
- 167. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 12/3375 Naive Bayes
- 168. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 4/15 12/3375 Naive Bayes
- 169. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 4/15 12/3375 Naive Bayes
- 170. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 4/15 12/3375 Naive Bayes
- 171. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 12/125 4/15 12/3375 Naive Bayes
- 172. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 12/5 + 4/15 12/5 12/5 12/125 4/15 12/3375 Naive Bayes
- 173. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 = 40 36 12/5 + 4/15 12/5 12/5 12/125 4/15 12/3375 Naive Bayes
- 174. Total Buy 20 4/55 1/15 Cheap 15 3/5 10 2/15 Work Buy, Cheap, & Work Spam No Spam 25 75 5 1/5 30 6/15 = 40 36 = 90% 12/5 + 4/15 12/5 12/5 12/125 4/15 12/3375 Naive Bayes
- 175.
- 176. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’
- 177. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) =
- 178. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) =
- 179. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) = 20 25
- 180. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) = 20 25 25 100
- 181. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) = 20 25 25 100 20 25
- 182. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) = 20 25 25 100 20 25 25 100
- 183. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) = 20 25 25 100 20 25 25 100 +
- 184. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) = 20 25 25 100 20 25 25 100 5 75+
- 185. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) = 20 25 25 100 20 25 25 100 5 75 75 100+
- 186. Bayes Theorem P(S B)= P(B S) P(B S) P(S) P(S)+P(B H)P(H) S: Spam H: Ham (not spam) B: ‘Buy’ P(spam if “Buy”) = 20 25 25 100 20 25 25 100 5 75 75 100+ = 80%
- 187.
- 188. P(“Buy” & “Cheap”)= P(“Buy”) P(“Cheap”) Naive Bayes
- 189. P(“Buy” & “Cheap”)= P(“Buy”) P(“Cheap”) P(B C) = P(B) P(C) U Naive Bayes
- 190. P(“Buy” & “Cheap”)= P(“Buy”) P(“Cheap”) Naive P(B C) = P(B) P(C) U Naive Bayes
- 191. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H)
- 192. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) =
- 193. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) =
- 194. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25
- 195. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 15 25
- 196. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 15 25
- 197. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 20 25 15 25
- 198. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 20 25 15 25 15 25
- 199. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 20 25 25 100 15 25 15 25
- 200. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 20 25 25 100 + 15 25 15 25
- 201. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 20 25 25 100 5 75 + 15 25 15 25
- 202. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 20 25 25 100 5 75 + 15 25 15 25 10 75
- 203. Naive BayesS: Spam H:Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 20 25 25 100 5 75 75 100 + 15 25 15 25 10 75
- 204. = 94.737% Naive BayesS:Spam H: Ham (not spam) B: ‘Buy’ C: ‘Cheap’ P(S B C) = P(S) P(S) + P(H) U P(B C S) U P(B C S) U P(B C H) U P(B S)P(C S) P(B S)P(C S) P(B H)P(C H) P(spam if “Buy” & “Cheap”) = 20 25 25 100 20 25 25 100 5 75 75 100 + 15 25 15 25 10 75
- 205.
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