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Variational Auto-Encoder

Generative neural network architecture that learns a probabilistic distribution in the latent space rather than a deterministic encoding, enabling the generation of new data through sampling.

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Probabilistic Encoder

Neural network that maps input data to the parameters (mean and variance) of a distribution in the latent space rather than a fixed point.

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Generative Decoder

Neural network that reconstructs the original data from samples in the latent space, modeling the conditional probability p(x|z).

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Inference Posterior

Approximate distribution q(z|x) learned by the encoder to estimate the true posterior p(z|x) which is generally intractable.

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Reparameterization Noise

Random variable ε ~ N(0, I) introduced during the reparameterization trick to enable differentiation of the sampling operation.

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Continuous Space

Property of the VAE latent space where neighboring points correspond to similar data, enabling interpolation and semantic navigation.

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Latent Sampling

Process of generating new samples by drawing random points from the learned distribution in the latent space and passing them through the decoder.

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Deterministic Auto-Encoder

Classical variant where encoding produces a unique vector in the latent space without a stochastic component, unlike the VAE.

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Architecture Variationnelle

Structure neuronale intégrant des couches probabilistes et des mécanismes d'échantillonnage pour modéliser des distributions plutôt que des mappings déterministes.

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