Whenusedtomodelprobability distributions, theyexhibit tractable likelihoods and admit efficient learning algorithms.

Recent works have shown that line search methods can speed up Stochastic Gradient Descent (SGD) and Adam in modern over-parameterized settings. However, existing line searches may take steps that are smaller than necessary since they require a monotone decrease of the (mini-)batch objective function.

We study the problem of fitting an ultrametric distance to a dissimilarity graph in the context of hierarchical cluster analysis.

Neural Information Processing Systems http://nips.cc/

The rules-based world order no longer exists, the German Chancellor has warned at a major security summit. Opening the annual Munich Security Conference, Friedrich Merz told other world leaders that our freedom is not guaranteed in an era of big power politics, and that Europeans must be ready to make sacrifice. He also admitted that a deep divide has opened between Europe and the United States. The conference is taking place on the backdrop of US President Donald Trump threatening Denmark's sovereignty over Greenland by pledging to annex the Arctic territory and his tariffs on imports from European nations. US Secretary of State Marco Rubio, who was listening to Merz and will deliver his own speech on Saturday, earlier spoke of a new era in geopolitics.

Children are remarkably fast in learning new skills; How do they do this?

This factorization enables closed-form updates during optimization (see below).

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