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Learning with Complete Data
BY
Saravana Kumar.M
Vishnuprabhu.G
Learning with Complete Data
• Parameter learning
• Maximum-likelihood parameter learning
• Naïve Bayes models
• Continuous Model
• Bayesian Parameter Learning
Parameter learning
• To find the numerical parameters for a
probability model whose structure is fixed
• Data are complete when each data point
contains values for every variable in the model
Maximum-likelihood parameter
learning
• discrete model
• 3 Steps:
– Write expression as finite of parameter
– Derive those expressions as log terms
– Find parameter value by equating log terms to 0
One parameter
(From the text book web site) CSE 471/598
by H. Liu
6
(From the text book web site) CSE 471/598
by H. Liu
7
Naïve Bayes Model
• Attributes are conditionally independent to
each other
• Truth of hypothesis is not representable as a
decision tree
Continuous Model
• To represent real world applications
• Example: linear Gaussian model(similar to
discrete data generation)
• This model contains sum of squared errors
• It can be minimized by standard linear
recursion
• By minimizing this error gives Maximum-
likelihood model
Bayesian Parameter Learning
• It places an hypothesis priority over the
possible values of parameter.
• It uses Beta Distribution(Conjugate priority)
Parameter Independence
• P(Ѳ1,Ѳ2,Ѳ3) can be represented as p(Ѳ1)
p(Ѳ2) p(Ѳ3).
LEARNING BASED NET STRUCTURE
• This approach is to search for a good model.
• It over comes all the disadvantages of all the
above models
• In AI 17% of Learning Theory is based on
learning with complete data (LWCD)..!
 THANK YOU 

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Learning with Complete Data Parameters

  • 1. Learning with Complete Data BY Saravana Kumar.M Vishnuprabhu.G
  • 2. Learning with Complete Data • Parameter learning • Maximum-likelihood parameter learning • Naïve Bayes models • Continuous Model • Bayesian Parameter Learning
  • 3. Parameter learning • To find the numerical parameters for a probability model whose structure is fixed • Data are complete when each data point contains values for every variable in the model
  • 4. Maximum-likelihood parameter learning • discrete model • 3 Steps: – Write expression as finite of parameter – Derive those expressions as log terms – Find parameter value by equating log terms to 0
  • 6. (From the text book web site) CSE 471/598 by H. Liu 6
  • 7. (From the text book web site) CSE 471/598 by H. Liu 7
  • 8. Naïve Bayes Model • Attributes are conditionally independent to each other • Truth of hypothesis is not representable as a decision tree
  • 9. Continuous Model • To represent real world applications • Example: linear Gaussian model(similar to discrete data generation) • This model contains sum of squared errors • It can be minimized by standard linear recursion • By minimizing this error gives Maximum- likelihood model
  • 10. Bayesian Parameter Learning • It places an hypothesis priority over the possible values of parameter. • It uses Beta Distribution(Conjugate priority)
  • 11. Parameter Independence • P(Ѳ1,Ѳ2,Ѳ3) can be represented as p(Ѳ1) p(Ѳ2) p(Ѳ3). LEARNING BASED NET STRUCTURE • This approach is to search for a good model. • It over comes all the disadvantages of all the above models
  • 12. • In AI 17% of Learning Theory is based on learning with complete data (LWCD)..!