Title
Extensions and Limitations of the Neural GPU.
Abstract
The Neural GPU is a recent model that can learn algorithms such as multi-digit binary addition and binary multiplication in a way that generalizes to inputs of arbitrary length. We show that there are two simple ways of improving the performance of the Neural GPU: by carefully designing a curriculum, and by increasing model size. The latter requires a memory efficient implementation, as a naive implementation of the Neural GPU is memory intensive. We find that these techniques increase the set of algorithmic problems that can be solved by the Neural GPU: we have been able to learn to perform all the arithmetic operations (and generalize to arbitrarily long numbers) when the arguments are given in the decimal representation (which, surprisingly, has not been possible before). We have also been able to train the Neural GPU to evaluate long arithmetic expressions with multiple operands that require respecting the precedence order of the operands, although these have succeeded only in their binary representation, and not with perfect accuracy.In addition, we gain insight into the Neural GPU by investigating its failure modes. We find that Neural GPUs that correctly generalize to arbitrarily long numbers still fail to compute the correct answer on highly-symmetric, atypical inputs: for example, a Neural GPU that achieves near-perfect generalization on decimal multiplication of up to 100-digit long numbers can fail on $000000dots002 times 000000dots002$ while succeeding at $2 times 2$. These failure modes are reminiscent of adversarial examples.
Year
Venue
Field
2016
arXiv: Neural and Evolutionary Computing
Decimal representation,CUDA,Computer science,Operand,Theoretical computer science,Multiplication,Artificial intelligence,Deep learning,Decimal,Python (programming language),Machine learning,Binary number
DocType
Volume
Citations 
Journal
abs/1611.00736
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Eric Price159741.42
Wojciech Zaremba22733117.55
Ilya Sutskever3258141120.24