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08 Bayesian Networks

Timo Bierwirth Artificial Intelligence Deutsch 7 Karten

Karten in diesem Stapel (7)

  1. 1Which motivation stands behind Bayesian networks?Acting rationally given uncertain information
    Used to represent dependencies among variables to reduce number of information required to construct joint probability
  2. 2How are Bayesian networks structured?Acyclic graph, where:
    -each node corresponds to a random variable
    -arrow between nodes starts at parents
    -each node has a conditional probability distribution
  3. 3What are inference tasks here?-Simple queries: compute probabilities given some evidence
    -Conjunctive queries
    -Optimal decisions (outcome I action, evidence)
    -Value of information
    -Sensitivity analysis
    -Explanation
  4. 4Which kinds of inferences can be applied?-Inference by enumeration: sum out variables from joint probability without actually constructing its explicit representation, recursive depth-first - inefficient
    -Inference by variable elimination: storing to avoid re-computation, pointwise product & summing out variables
  5. 5What is an alternative to the Monte Carlo Simulation and which are its two types?Direct sampling:
    -Rejection sampling
    -Likelihood weighting
  6. 6What are characteristics of rejection sampling?-produce samples from a hard-to-sample distr. given an easy-to-sample distr.
    -determining conditional probabilities
    -consistent posterior estimates
    -very expensive if P(e) is small (P(e) drops off exponentially with no. of evidence var.)
  7. 7What are characteristics of likelihood weighting?-avoids inefficiency by only generating events incl. evidence e (=importance sampling) and as not all events are equal, weight each of them by likelihood of occurence
    -sample only non-evidence variables
    -performanc still degrades with many ev. var. as a few samples have nearly all the weighting

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Artificial Intelligence Karteikarten am 08 Bayesian Networks, erstellt von Timo Bierwirth am 22/02/2018.
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