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OTLDA: AGeometry-AwareOptimalTransport ApproachforTopicModeling

Neural Information Processing Systems

We present an optimal transport framework for learning topics from textual data. While the celebrated Latent Dirichlet allocation (LDA) topic model and its variants have been applied to many disciplines, they mainly focus on wordoccurrences and neglect to incorporate semantic regularities in language.


Meta Internal Learning: Supplementary material Raphael Bensadoun

Neural Information Processing Systems

Next, we would like to prove the opposite direction. All LeakyReLU activations have a slope of 0.02 for negative values except when we use a classic discriminator for single image training, for which we use a slope of 0.2. Additionally, the generator's last conv-block activation at each scale is Tanh instead of ReLU and the discriminator's last We clip the gradient s.t it has a maximal L2 norm of 1 for both the generators and Batch sizes of 16 were used for all experiments involving a dataset of images. At test time, the GPU memory usage is significantly reduced and requires 5GB. In this section, we consider training our method with a "frozen" pretrained ResNet34 i.e., optimizing If the problem could be learned with a "small enough" depth, our method would benefit from even As can be seen, our method yields realistic results with any batch size.




ATightLowerBoundandEfficientReduction forSwapRegret

Neural Information Processing Systems

Swap regret, a generic performance measure of online decision-making algorithms, plays an important role in the theory of repeated games, along with a closeconnection tocorrelated equilibria instrategicgames.