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VIME

Variational Imputation and Mask Estimation, a missing value imputation framework that uses variational inference to jointly model the data distribution and the missingness mask.

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Missingness Mask

Binary matrix indicating the presence (1) or absence (0) of data for each observation and variable, whose distribution is modeled in VIME.

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Variational Autoencoder (VAE)

Generative neural network architecture that learns a probabilistic latent representation of the data, used in VIME to model the complete data distribution.

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MAR Mechanism (Missing At Random)

Assumption where the probability of a value being missing depends only on observed values, conditionally satisfied by the VIME framework.

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MNAR Mechanism (Missing Not At Random)

Scenario where the probability of missingness depends on the missing values themselves, which VIME can model through its joint estimation of the mask.

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Importance Resampling

Monte Carlo estimation technique used in VIME to approximate the expectation under the variational distribution with reduced variance.

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Posterior Predictive

Distribution of future data that incorporates uncertainty about the model parameters, which VIME leverages to generate realistic imputations.

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Amortized Inference

Strategy where variational parameters are produced by a neural network (encoder) rather than optimized individually, enabling efficient processing of large datasets.

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Decomposition of the Variational Bound

Analysis of the ELBO in distinct terms (reconstruction, latent regularization, mask prediction) that guides the architecture and training of the VIME model.

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Autoregressive Imputation

Method where missing values are imputed sequentially by conditioning on previous imputations, an alternative to VIME's variational approach.

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Deep Generative Model

Class of models that learn the probability distribution of data, of which VIME is a specialized example for structured data with missing values.

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