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Variational Autoencoder (VAE)

Generative neural network architecture that learns a probabilistic latent representation of input data, enabling the generation of new samples by sampling from this latent space.

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Evidence Lower Bound (ELBO)

Maximization objective in VAEs, representing the lower bound of the marginal log-likelihood of the data, balancing reconstruction and regularization of the latent space.

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Approximate Posterior (q(z|x))

Distribution parameterized by the encoder that approximates the true posterior distribution of latent variables conditioned on input data in the VAE framework.

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Posterior Collapse

Problem in VAEs where the learned latent distribution becomes identical to the prior distribution, making the encoder useless and generating low-quality samples.

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Prior Distribution (p(z))

Probability distribution chosen for latent variables in VAEs, typically a standard Gaussian N(0, I), serving as a regularizer for the latent space.

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Deconvolutional Autoencoder

Variant of VAE using deconvolutional layers in the decoder to generate structured data like images, better preserving spatial relationships.

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Factor Disentanglement

Desired property where each dimension of a VAE's latent space captures a semantically independent factor of variation in the generated data.

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Hierarchy of Latent Variables

Advanced VAE architecture using multiple levels of latent variables to capture features at different scales of abstraction in the data.

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Normalizing Flows in VAEs

Integration of normalizing flow transformations to increase the flexibility of the prior distribution or the approximate posterior, enhancing the generative quality of VAEs.

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