The conditional definitions allow for an analogy to Bayesian inference: if we assume that B is actually certain (whatever the a priori possibility π(B) was), then conditional possibility may be understood as an a posteriori possibility.
Conditional possibility may be understood as an a posteriori possibility: π(v i = f| ) is the possibility of v i having the value f, if we assume that is actually certain, i.e. that the model and the measurements are correct.
Moreover, when multiple flux vectors might be reasonably possible, the marginal and conditional possibility distributions for each flux can be computed.
Using the definition given in the preliminaries (12), the conditional possibility distribution of a flux v i can be computed as follows: (27) Remember that conditional distribution can be obtained normalising the marginal possibility distribution to a maximum equal to one (see Figure 2).
The interval of values with conditional possibility higher than for a given variable, [ v i, γ m, v i, γ M ], can be computed solving two LP problems, (9) v i, g m = min ε, μ, v v i s. t. { ℳ O C ∩ ℳ ℰ C J − log π (v m ) < − log γ The upper bound v i, γ M would be obtained by replacing minimum by maximum.
While none of these two notions is the one we have in ranking theory, Spohn (2009), relying on Halpern (2003), shows that by adopting the second notion of conditional possibility one can render possibility theory isomorphic to a real-valued version of ranking theory.
The possibilistic analog to conditional probability is conditional possibility.
The conditional possibility distributions and the histograms resulting from PMFA and Monte Carlo, respectively, are depicted in Figure 7.
To face these situation, marginal and conditional possibility distributions (and intervals) can be obtained, again, by solving linear optimisation problems.
"We are not talking about recognizing her as innocent or releasing her from responsibility for billions of dollars in damages to the country, but maybe the possibility of a conditional sentence," Ms. Bogoslovska said.
The advantage of a conditional Bim allele is the possibility to delete the gene in a temporally and cell type-controllable manner.
