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Whats the Difference between probabilistic programming such as pyro and Belief networks?



The Next CEO of Stack Overflow
2019 Community Moderator ElectionWhat is difference between Bayesian Network and Belief Network?Bayes net inference in PyroFor every Bayesian Network, is there a Neural Network that gives the same output?What is the difference between a (dynamic) Bayes network and a HMM?What is difference between Bayesian Network and Belief Network?How to calculate the Probability for the Unconditional Node in the Bayesian Belief Network?Which learning algorithms to use in what order - dimensionality reduction, bayesian network structure, regression?How is the LSTM RNN forget gate calculated?How to find Neural Network ZOOs?what is difference between the DDQN and DQN?










1












$begingroup$


I heard about ubers pyro and stumbled upon this Wikipedia Artikel
As I understand a bayesian network is the same as a belief netLink to datascience StackExchange post
Does someone know how these are related?










share|improve this question









$endgroup$
















    1












    $begingroup$


    I heard about ubers pyro and stumbled upon this Wikipedia Artikel
    As I understand a bayesian network is the same as a belief netLink to datascience StackExchange post
    Does someone know how these are related?










    share|improve this question









    $endgroup$














      1












      1








      1





      $begingroup$


      I heard about ubers pyro and stumbled upon this Wikipedia Artikel
      As I understand a bayesian network is the same as a belief netLink to datascience StackExchange post
      Does someone know how these are related?










      share|improve this question









      $endgroup$




      I heard about ubers pyro and stumbled upon this Wikipedia Artikel
      As I understand a bayesian network is the same as a belief netLink to datascience StackExchange post
      Does someone know how these are related?







      deep-learning bayesian-networks probabilistic-programming






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Dec 11 '18 at 15:06









      Alexander VocaetAlexander Vocaet

      133




      133




















          1 Answer
          1






          active

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          1












          $begingroup$

          A probabilistic program and a Bayesian Network are both ways of specifying probabilistic models. Any model that can be specified as a Bayesian Network can also be specified by a probabilistic program, in fact by a probabilistic program that has no control flow. Roughly



          Bayes Nets == Straight line Probabilistic Programs


          For example consider the Bayes Netenter image description here



          This Bayes Net is equivalent to the probabilistic program (in Pyro)



          def model():
          p_rain = pyro.param("p_rain", torch.tensor(0.2), constraint=unit_interval)
          p_sprinkler = pyro.param("p_sprinkler", torch.tensor([0.4, 0.01]),
          constraint=unit_interval)
          p_wet = pyro.param("p_wet", torch.tensor([[0.0, 0.9], [0.8, 0.99]]),
          constraint=unit_interval)

          rain = pyro.sample("rain", Bernoulli(p_rain))
          sprinkler = pyro.sample("sprinkler",
          Bernoulli(p_sprinkler[rain.long()]))
          wet = pyro.sample("wet", Bernoulli(p_wet[rain.long(), sprinkler.long()]))


          More generally, probabilistic programs can contain control flow (if, for, while) and recursion. Some of these extra features are expressed in extensions to Bayes nets, e.g. some for loops can be expressed as plates in Bayes Nets.






          share|improve this answer











          $endgroup$








          • 1




            $begingroup$
            What's the point of p_rain? It's never used. Should it be removed, since rain defined further down seems to be the important version.
            $endgroup$
            – beldaz
            Mar 24 at 23:55











          Your Answer





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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          1












          $begingroup$

          A probabilistic program and a Bayesian Network are both ways of specifying probabilistic models. Any model that can be specified as a Bayesian Network can also be specified by a probabilistic program, in fact by a probabilistic program that has no control flow. Roughly



          Bayes Nets == Straight line Probabilistic Programs


          For example consider the Bayes Netenter image description here



          This Bayes Net is equivalent to the probabilistic program (in Pyro)



          def model():
          p_rain = pyro.param("p_rain", torch.tensor(0.2), constraint=unit_interval)
          p_sprinkler = pyro.param("p_sprinkler", torch.tensor([0.4, 0.01]),
          constraint=unit_interval)
          p_wet = pyro.param("p_wet", torch.tensor([[0.0, 0.9], [0.8, 0.99]]),
          constraint=unit_interval)

          rain = pyro.sample("rain", Bernoulli(p_rain))
          sprinkler = pyro.sample("sprinkler",
          Bernoulli(p_sprinkler[rain.long()]))
          wet = pyro.sample("wet", Bernoulli(p_wet[rain.long(), sprinkler.long()]))


          More generally, probabilistic programs can contain control flow (if, for, while) and recursion. Some of these extra features are expressed in extensions to Bayes nets, e.g. some for loops can be expressed as plates in Bayes Nets.






          share|improve this answer











          $endgroup$








          • 1




            $begingroup$
            What's the point of p_rain? It's never used. Should it be removed, since rain defined further down seems to be the important version.
            $endgroup$
            – beldaz
            Mar 24 at 23:55















          1












          $begingroup$

          A probabilistic program and a Bayesian Network are both ways of specifying probabilistic models. Any model that can be specified as a Bayesian Network can also be specified by a probabilistic program, in fact by a probabilistic program that has no control flow. Roughly



          Bayes Nets == Straight line Probabilistic Programs


          For example consider the Bayes Netenter image description here



          This Bayes Net is equivalent to the probabilistic program (in Pyro)



          def model():
          p_rain = pyro.param("p_rain", torch.tensor(0.2), constraint=unit_interval)
          p_sprinkler = pyro.param("p_sprinkler", torch.tensor([0.4, 0.01]),
          constraint=unit_interval)
          p_wet = pyro.param("p_wet", torch.tensor([[0.0, 0.9], [0.8, 0.99]]),
          constraint=unit_interval)

          rain = pyro.sample("rain", Bernoulli(p_rain))
          sprinkler = pyro.sample("sprinkler",
          Bernoulli(p_sprinkler[rain.long()]))
          wet = pyro.sample("wet", Bernoulli(p_wet[rain.long(), sprinkler.long()]))


          More generally, probabilistic programs can contain control flow (if, for, while) and recursion. Some of these extra features are expressed in extensions to Bayes nets, e.g. some for loops can be expressed as plates in Bayes Nets.






          share|improve this answer











          $endgroup$








          • 1




            $begingroup$
            What's the point of p_rain? It's never used. Should it be removed, since rain defined further down seems to be the important version.
            $endgroup$
            – beldaz
            Mar 24 at 23:55













          1












          1








          1





          $begingroup$

          A probabilistic program and a Bayesian Network are both ways of specifying probabilistic models. Any model that can be specified as a Bayesian Network can also be specified by a probabilistic program, in fact by a probabilistic program that has no control flow. Roughly



          Bayes Nets == Straight line Probabilistic Programs


          For example consider the Bayes Netenter image description here



          This Bayes Net is equivalent to the probabilistic program (in Pyro)



          def model():
          p_rain = pyro.param("p_rain", torch.tensor(0.2), constraint=unit_interval)
          p_sprinkler = pyro.param("p_sprinkler", torch.tensor([0.4, 0.01]),
          constraint=unit_interval)
          p_wet = pyro.param("p_wet", torch.tensor([[0.0, 0.9], [0.8, 0.99]]),
          constraint=unit_interval)

          rain = pyro.sample("rain", Bernoulli(p_rain))
          sprinkler = pyro.sample("sprinkler",
          Bernoulli(p_sprinkler[rain.long()]))
          wet = pyro.sample("wet", Bernoulli(p_wet[rain.long(), sprinkler.long()]))


          More generally, probabilistic programs can contain control flow (if, for, while) and recursion. Some of these extra features are expressed in extensions to Bayes nets, e.g. some for loops can be expressed as plates in Bayes Nets.






          share|improve this answer











          $endgroup$



          A probabilistic program and a Bayesian Network are both ways of specifying probabilistic models. Any model that can be specified as a Bayesian Network can also be specified by a probabilistic program, in fact by a probabilistic program that has no control flow. Roughly



          Bayes Nets == Straight line Probabilistic Programs


          For example consider the Bayes Netenter image description here



          This Bayes Net is equivalent to the probabilistic program (in Pyro)



          def model():
          p_rain = pyro.param("p_rain", torch.tensor(0.2), constraint=unit_interval)
          p_sprinkler = pyro.param("p_sprinkler", torch.tensor([0.4, 0.01]),
          constraint=unit_interval)
          p_wet = pyro.param("p_wet", torch.tensor([[0.0, 0.9], [0.8, 0.99]]),
          constraint=unit_interval)

          rain = pyro.sample("rain", Bernoulli(p_rain))
          sprinkler = pyro.sample("sprinkler",
          Bernoulli(p_sprinkler[rain.long()]))
          wet = pyro.sample("wet", Bernoulli(p_wet[rain.long(), sprinkler.long()]))


          More generally, probabilistic programs can contain control flow (if, for, while) and recursion. Some of these extra features are expressed in extensions to Bayes nets, e.g. some for loops can be expressed as plates in Bayes Nets.







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 56 mins ago

























          answered Jan 11 at 2:36









          FritzFritz

          1162




          1162







          • 1




            $begingroup$
            What's the point of p_rain? It's never used. Should it be removed, since rain defined further down seems to be the important version.
            $endgroup$
            – beldaz
            Mar 24 at 23:55












          • 1




            $begingroup$
            What's the point of p_rain? It's never used. Should it be removed, since rain defined further down seems to be the important version.
            $endgroup$
            – beldaz
            Mar 24 at 23:55







          1




          1




          $begingroup$
          What's the point of p_rain? It's never used. Should it be removed, since rain defined further down seems to be the important version.
          $endgroup$
          – beldaz
          Mar 24 at 23:55




          $begingroup$
          What's the point of p_rain? It's never used. Should it be removed, since rain defined further down seems to be the important version.
          $endgroup$
          – beldaz
          Mar 24 at 23:55

















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