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AI Glossary

The complete dictionary of Artificial Intelligence

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Contractive Autoencoder (CAE)

A type of autoencoder whose loss function includes a penalty on the norm of the encoder's Jacobian matrix, forcing the latent representation to be insensitive to small input variations.

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Jacobian Penalty

Regularization term added to the loss function of a contractive autoencoder, calculated as the sum of squares of the partial derivatives of the latent representation with respect to each input pixel.

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Robustness to Perturbations

Ability of a model, particularly a contractive autoencoder, to maintain stable performance in the face of slight modifications or noise in the input data.

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Contractive Loss Function

Objective function combining the standard reconstruction error and the Jacobian penalty, optimized during the training of a contractive autoencoder.

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Gradient Vanishing

Potential problem when computing the Jacobian penalty in deep networks, where gradients can become extremely small, making optimization difficult.

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Contracted Latent Space

The low-dimensional representation space produced by the encoder of a CAE, characterized by low sensitivity to local input variations.

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Regularization Factor (Lambda)

Hyperparameter that controls the relative importance of the Jacobian penalty compared to the reconstruction error in the loss function of a contractive autoencoder.

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Factor Disentanglement

Objective associated with contractive autoencoders where the latent representation aims to capture the most relevant variation factors of the data while ignoring non-informative variations.

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Denoising Autoencoder

Related model that learns to reconstruct a clean input from a corrupted version, sharing the robustness objective with the contractive autoencoder but through a different approach.

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Model Sensitivity

Measure of the variation in a model's output (here, the latent representation) in response to small changes in its input, which the contractive autoencoder seeks to minimize.

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Regularization by Constraint

Regularization strategy used in CAEs, where an explicit constraint (the penalty on the Jacobian) is imposed on the model parameters to guide its learning.

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