EPITOMIC VARIATIONAL AUTOENCODER

In this paper, we propose epitomic variational autoencoder (eVAE), a probabilistic generative model of high dimensional data. eVAE is composed of a number of sparse variational autoencoders called ‘epitome’ such that each epitome partially shares its encoder-decoder architecture with other epitomes in the composition. We show that the proposed model greatly overcomes the common problem in variational autoencoders (VAE) of model over-pruning. We substantiate that eVAE is efficient in using its model capacity and generalizes better than VAE, by presenting qualitative and quantitative results on MNIST and TFD datasets.

[1]  Julien Mairal,et al.  Proximal Methods for Hierarchical Sparse Coding , 2010, J. Mach. Learn. Res..

[2]  Yoshua Bengio,et al.  A Generative Process for sampling Contractive Auto-Encoders , 2012, ICML 2012.

[3]  Shakir Mohamed,et al.  Variational Inference with Normalizing Flows , 2015, ICML.

[4]  Joshua B. Tenenbaum,et al.  Deep Convolutional Inverse Graphics Network , 2015, NIPS.

[5]  Yann LeCun,et al.  Structured sparse coding via lateral inhibition , 2011, NIPS.

[6]  Honglak Lee,et al.  Attribute2Image: Conditional Image Generation from Visual Attributes , 2015, ECCV.

[7]  Max Welling,et al.  Improved Variational Inference with Inverse Autoregressive Flow , 2016, NIPS 2016.

[8]  Yann LeCun,et al.  The mnist database of handwritten digits , 2005 .

[9]  Jiajun Wu,et al.  Visual Dynamics: Probabilistic Future Frame Synthesis via Cross Convolutional Networks , 2016, NIPS.

[10]  Ruslan Salakhutdinov,et al.  Importance Weighted Autoencoders , 2015, ICLR.

[11]  Samy Bengio,et al.  Generating Sentences from a Continuous Space , 2015, CoNLL.

[12]  Geoffrey E. Hinton,et al.  Attend, Infer, Repeat: Fast Scene Understanding with Generative Models , 2016, NIPS.

[13]  Max Welling,et al.  Auto-Encoding Variational Bayes , 2013, ICLR.

[14]  Ole Winther,et al.  How to Train Deep Variational Autoencoders and Probabilistic Ladder Networks , 2016, ICML 2016.

[15]  Jimmy Ba,et al.  Adam: A Method for Stochastic Optimization , 2014, ICLR.

[16]  Alex Graves,et al.  DRAW: A Recurrent Neural Network For Image Generation , 2015, ICML.

[17]  D. Mackay Local Minima, Symmetry-breaking, and Model Pruning in Variational Free Energy Minimization , 2001 .

[18]  Max Welling,et al.  Markov Chain Monte Carlo and Variational Inference: Bridging the Gap , 2014, ICML.

[19]  Brendan J. Frey,et al.  Epitomic analysis of appearance and shape , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.