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168,742 papers · 148 categories

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7 results for Weight-Tying

Neural networks can approximate gradient of smooth functions, but with limitations.

problem Approximating gradient of smooth functions using neural networks.
method Proving limitations of neural networks with more than one hidden layer and introducing implicit parametrization.
result Neural networks with more than one hidden layer can only represent one feature in their first hidden layer.

Recent work (Cohen & Welling, 2016) has shown that generalizations of convolutions, based on group theory, provide powerful inductive biases for learning. In these generalizations, filters are not only translated but can also be rotated, flipped, etc. However, coming up with exact models of how to rotate a 3 x 3 filter…

2019-05-12abs ↗pdf ↗

Transformers can be made to implement specific algorithms by controlling training parameters.

problem Understanding when and how weight-tied looped transformers implement specific algorithms.
method Controlled experiments on group word problems, analyzing training contracts and convergence times.
result The speed and halting rule of weight-tied looped transformers are determined by the training contract and the number of loops.

We present trellis networks, a new architecture for sequence modeling. On the one hand, a trellis network is a temporal convolutional network with special structure, characterized by weight tying across depth and direct injection of the input into deep layers. On the other hand, we show that truncated recurrent network…

2018-10-15abs ↗pdf ↗

SE(3)-Transformers maintain equivariance for 3D data under rotations and translations.

problem Ensuring stable and predictable performance in 3D data under transformations.
method Introducing a self-attention module that is equivariant under continuous 3D roto-translations.
result The SE(3)-Transformer outperforms non-equivariant and non-attention models on real-world datasets.

Knowledge graphs contain knowledge about the world and provide a structured representation of this knowledge. Current knowledge graphs contain only a small subset of what is true in the world. Link prediction approaches aim at predicting new links for a knowledge graph given the existing links among the entities. Tenso…

2018-02-13abs ↗pdf ↗