Lie Access Neural Turing Machine

By Greg Yang. 2016

17 citations recorded by the source corpus.

Following the recent trend in explicit neural memory structures, we present a new design of an external memory, wherein memories are stored in an Euclidean key space $\mathbb R^n$. An LSTM controller performs read and write via specialized read and write heads. It can move a head by either providing a new address in the key space (aka random access) or moving from its previous position via a Lie group action (aka Lie access). In this way, the "L" and "R" instructions of a traditional Turing Machine are generalized to arbitrary elements of a fixed Lie group action. For this reason, we name this new model the Lie Access Neural Turing Machine, or LANTM. We tested two different configurations of LANTM against an LSTM baseline in several basic experiments. We found the right configuration of LANTM to outperform the baseline in all of our experiments. In particular, we trained LANTM on addition of $k$-digit numbers for $2 \le k \le 16$, but it was able to generalize almost perfectly to $17 \le k \le 32$, all with the number of parameters 2 orders of magnitude below the LSTM baseline.

Subfields: Artificial Intelligence, Electrical and Electronic Engineering

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In Artificial Intelligence

  1. Yoshua Bengio
  2. Kyunghyun Cho
  3. Mohit Bansal
  4. Sergey Levine
  5. Quoc V. Le
  6. Jitendra Malik
  7. Jianfeng Gao
  8. Ruslan Salakhutdinov

In Electrical and Electronic Engineering

  1. Yoshua Bengio
  2. Kyunghyun Cho
  3. Jitendra Malik
  4. A. P. Sarath Chandar
  5. Caglar Gulcehre
  6. Ke Li
  7. Anirudh Goyal
  8. Joelle Pineau

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