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Glossario IA

Il dizionario completo dell'Intelligenza Artificiale

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Bayesian Network

Probabilistic graphical model representing conditional independence relationships between random variables through a directed acyclic graph. It allows for the calculation of complex conditional probabilities by factorizing the joint distribution.

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Conditional Probability Table (CPT)

Matrix associated with each node in a Bayesian network specifying the probability of each possible state given the combinations of states of its parents. The CPT quantifies the local probabilistic relationships between connected variables.

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Latent Variable

Variable not directly observed in a belief network but influencing the observed variables. It allows for modeling hidden factors or abstractions within the probabilistic system.

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Hybrid Network

Bayesian network combining both discrete and continuous variables in its structure. It requires specialized methods to represent and compute the mixed conditional distributions.

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Conditional Gaussian Distribution

Probability distribution for continuous variables in hybrid networks, conditioned by discrete variables. It allows for modeling Gaussian linear relationships between continuous and discrete variables.

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Variable Elimination

Exact inference algorithm that sequentially eliminates variables from the network to compute marginal probabilities. The elimination order significantly influences the computational complexity.

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Dynamic Bayesian Network

Temporal extension of Bayesian networks modeling time series with interconnected time slices. It captures temporal dependencies between variables at different time instants.

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Canonical Parameterization

Alternative mathematical representation of probability distributions in Gaussian networks using canonical potentials. It facilitates algebraic operations in exact inference.

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Potential Factor

Unnormalized function associated with cliques of a belief network, representing local interactions between variables. Factors combine multiplicatively to form the joint distribution.

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Parameter Learning

Process of estimating conditional probability tables from observed data. It uses maximum likelihood or Bayesian methods to calibrate the network.

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Moral Separator

Set of variables blocking all paths between two sets of variables in a moralized graph. It formally characterizes conditional independence in Bayesian networks.

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