## High-Dimensional Probability Estimation with Deep Density Models

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Ryan Adams and I just uploaded to the arXiv our paper “High-Dimensional Probability Estimation with Deep Density Models”. In this work, we introduce the deep density model (DDM), a new approach for density estimation. Continue reading “High-Dimensional Probability Estimation with Deep Density Models”

## Learning Image Features from Video

While at NIPS, I came across the paper Deep Learning of Invariant Features via Simulated Fixations in Video by Will Zou, Shenghuo Zhu, Andrew Ng,  and Kai Yu. It proposes a particularly appealing unsupervised method for using videos to learn image features. Their method appears to be somewhat inspired by the human visual system. For instance, people have access to video data, not static images. They also attempt to mimic the human tendency to fixate on particular objects. They track objects through successive frames in order to provide more coherent data to the learning algorithm.

The authors use a stacked architecture, where each layer is trained by optimizing an embedding into a feature space. As usual, the optimization problem involves a reconstruction penalty and a sparsity penalty. In addition, however, it includes a temporal slowness penalty, which seeks to minimize the $$L_1$$ norm between the feature representations of consecutive frames. This enforces the intuition that good representations of images should change slowly as the images deform. Using this approach, the authors achieve improved performance on various classification tasks. Continue reading “Learning Image Features from Video”