The paper reviews and extends an emerging body of theoretical results on deep learning
including the conditions under which it can be exponentially better than shallow learning. A …

The maritime industry widely expects to have autonomous and semiautonomous ships
(autoships) in the near future. In order to operate and maintain complex and integrated …

Automated melanoma recognition in dermoscopy images is a very challenging task due to
the low contrast of skin lesions, the huge intraclass variation of melanomas, the high degree …

Very deep convolutional networks with hundreds of layers have led to significant reductions
in error on competitive benchmarks. Although the unmatched expressiveness of the many …

Theoretical and empirical evidence indicates that the depth of neural networks is crucial for
their success. However, training becomes more difficult as depth increases, and training of …

There is plenty of theoretical and empirical evidence that depth of neural networks is a
crucial ingredient for their success. However, network training becomes more difficult with …

For any positive integer k, there exist neural networks with Θ (k^ 3) layers, Θ (1) nodes per
layer, and Θ (1) distinct parameters which can not be approximated by networks with O (k) …

Boolean functions are perhaps the most basic objects of study in theoretical computer
science. They also arise in other areas of mathematics, including combinatorics, statistical …

We propose an analysis of surgical videos that is based on a novel recurrent convolutional
network (SV-RCNet), specifically for automatic workflow recognition from surgical videos …

We give new evidence that quantum computers--moreover, rudimentary quantum computers
built entirely out of linear-optical elements--cannot be efficiently simulated by classical …