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Hidden Markov
   Models
         By
   Maravar Kannan
Markov Chain
• A Markov chain named after Andrey
  Markov, is a mathematical system
  that undergoes transitions from
  one state to another, between a
  finite or countable number of
  possible states.
• It is a random process usually
  characterized as memoryless:
• the next state depends only on the
  current state and not on the
  sequence of events that preceded it.
Discrete –Time Markov
          Process
• Discrete –Time Markov Process
  (discrete-time Markov chain or DTMC) is
  When a Markov Chain result is considered
  at a finite interval.
• What is the probality that the weather
  for 8 consecutive days is
  “Sun-Sun-Sun-Rain-Rain-Sun-Cloudy-Sun”



                                         3
Discrete –Time Markov
           Process
•
Extension to Hidden
       Markov Model
• Now, we extend the concept of
  Markov models to include the
  case in which the observation is a
  probabilistic function of the
  state-that is, the resulting model
  (which is Hidden Markov model) is
  a doubly embedded stochastic
  process     with   an    underlying
  stochastic process that is not
                                    5
  directly Observed only through
Extension to Hidden Markov
                 Model




2004/11/16        6
The Urn-and-Ball Model




2004/11/16             7
Elements of an HMM




        8
Types of HMMs




      9
Implementation Issues for
         HMMs
                       Scaling

            Multiple Observation
                 Sequences
           Initial Estimates of HMM
                   Parameters
             Effect of Insufficient
                 Training Data

                   Choice of Model

              10
Conclusion
• The conclusion of this study of recognition
  and hidden markov model has been carried
  out to develop a voice based user machine
  interface system. In various applications we
  can use this user machine system and can
  take advantages as real interface, these
  application can be related with disable
  persons those are unable to operate
  computer through keyboard and mouse,
  these type of persons can use computer
  with   the   use    of   Automatic    Speech
  Recognition system, with this system user
  can operate computer with their own voice
Thank You


            12

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6 hmm by kannan

  • 1. Hidden Markov Models By Maravar Kannan
  • 2. Markov Chain • A Markov chain named after Andrey Markov, is a mathematical system that undergoes transitions from one state to another, between a finite or countable number of possible states. • It is a random process usually characterized as memoryless: • the next state depends only on the current state and not on the sequence of events that preceded it.
  • 3. Discrete –Time Markov Process • Discrete –Time Markov Process (discrete-time Markov chain or DTMC) is When a Markov Chain result is considered at a finite interval. • What is the probality that the weather for 8 consecutive days is “Sun-Sun-Sun-Rain-Rain-Sun-Cloudy-Sun” 3
  • 5. Extension to Hidden Markov Model • Now, we extend the concept of Markov models to include the case in which the observation is a probabilistic function of the state-that is, the resulting model (which is Hidden Markov model) is a doubly embedded stochastic process with an underlying stochastic process that is not 5 directly Observed only through
  • 6. Extension to Hidden Markov Model 2004/11/16 6
  • 10. Implementation Issues for HMMs Scaling Multiple Observation Sequences Initial Estimates of HMM Parameters Effect of Insufficient Training Data Choice of Model 10
  • 11. Conclusion • The conclusion of this study of recognition and hidden markov model has been carried out to develop a voice based user machine interface system. In various applications we can use this user machine system and can take advantages as real interface, these application can be related with disable persons those are unable to operate computer through keyboard and mouse, these type of persons can use computer with the use of Automatic Speech Recognition system, with this system user can operate computer with their own voice
  • 12. Thank You 12