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- Greg Yang
- ArXiv
- 2016

Recently, Neural Turing Machine and Memory Networks have shown that adding an external memory can greatly ameliorate a traditional recurrent neural network’s tendency to forget after a long period of time. Here we present a new design of an external memory, wherein memories are stored in an Euclidean key space R. An LSTM controller performs read and write… (More)

- Greg Yang
- ArXiv
- 2017

In computational complexity, a complexity class is given by a set of problems or functions, and a basic challenge is to show separations of complexity classes A 6= B especially when A is known to be a subset of B. In this paper we introduce a homological theory of functions that can be used to establish complexity separations, while also providing other… (More)

- Greg Yang
- Journal of Applied Non-Classical Logics
- 2015

The ǫ-logic (which is called ǫE-logic in this paper) of Kuyper and Terwijn is a variant of first order logic with the same syntax, in which the models are equipped with probability measures and in which the ∀x quantifier is interpreted as “there exists a set A of measure ≥ 1 − ǫ such that for each x ∈ A, . . . .” Previously, Kuyper and Terwijn proved that… (More)

- Greg Yang
- ArXiv
- 2014

- Greg Yang, Alexander M. Rush
- ArXiv
- 2016

External neural memory structures have recently become a popular tool for algorithmic deep learning (Graves et al., 2014; Weston et al., 2014). These models generally utilize differentiable versions of traditional discrete memory-access structures (random access, stacks, tapes) to provide the storage necessary for computational tasks. In this work, we argue… (More)

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