Finite state machines and recurrent neural networks—automata and dynamical systems approaches
We present two approaches to the analysis of the relationship between a recurrent neural
network (RNN) and the finite state machine ℳ the network is able to exactly mimic. First, the
network is treated as a state machine and the relationship between the RNN and ℳ. is
established in the context of the algebraic theory of automata. In the second approach, the
RNN is viewed as a set of discrete-time dynamical systems associated with input symbols of
ℳ. In particular, issues concerning network representation of loops and cycles in the state …
network (RNN) and the finite state machine ℳ the network is able to exactly mimic. First, the
network is treated as a state machine and the relationship between the RNN and ℳ. is
established in the context of the algebraic theory of automata. In the second approach, the
RNN is viewed as a set of discrete-time dynamical systems associated with input symbols of
ℳ. In particular, issues concerning network representation of loops and cycles in the state …
[PDF][PDF] Finite State Machines and Recurrent Neural Networks {Automata and Dynamical Systems Approaches
HB Park - Citeseer
We present two approaches to the analysis of the relationship between a recurrent neural
network (RNN) and the nite state machine M the network is able to exactly mimic. First, the
network is treated as a state machine and the relationship between the RNN and M is
established in the context of algebraic theory of automata. In the second approach, the RNN
is viewed as a set of discrete-time dynamical systems associated with input symbols of M. In
particular, issues concerning network representation of loops and cycles in the state …
network (RNN) and the nite state machine M the network is able to exactly mimic. First, the
network is treated as a state machine and the relationship between the RNN and M is
established in the context of algebraic theory of automata. In the second approach, the RNN
is viewed as a set of discrete-time dynamical systems associated with input symbols of M. In
particular, issues concerning network representation of loops and cycles in the state …
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