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A recently proposed probabilistic example of this approach are discriminative Bayesian active shape models [36], where many local detectors are used to estimate a global landmark configuration.
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As a comprehensive example, a probabilistic model for the dynamical behaviour of a slender beam is inverted using simulated data.
In [20] for example, a probabilistic model of the constant Q transform (CQT) is proposed for the estimation of polyphonic pitch content.
In this example, the probabilistic model is applied to the assessment of uncertainties related to chloride ingress in reinforced concrete structures.
For example, when probabilistic model provides 12 18 or 26 33 years for OPC, and 19 27 or 42 52 years for SG30, and 24 36 or 56 68 years SG50, repair cost can be saved by more than 1 time compared to the results from deterministic model.
Simple optimization-based algorithms would likely produce a single haplotype in the above example; our probabilistic model, however, would assign a transition probability of 0.5 to position 3.
For instance, some rashes can be diagnosed with a visual spot diagnosis, while for others, spot diagnosis may be part of an overall pattern recognition strategy with probabilistic reasoning for example, a characteristic chicken pox rash in a child with a fever.
The new CPT-based probabilistic model with detailed formulations is presented along with an illustrative example.
For instance, the use of probabilistic terms (for example, the probability of rain at a "normal", "below normal", or "above normal" level) often is outside local experience and language.
Figure 1 Example probabilistic suffix tree.
Fig. 1 Probabilistic Meeting Rule illustrative example.
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