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  • Recently, a new so-called energy complexity measure has been introduced and studied for feedforward perceptron networks. This measure is inspired by the fact that biological neurons require more energy to transmit a spike than not to fire and the activity of neurons in the brain is quite sparse, with only about 1% of neurons firing. We investigate the energy complexity for recurrent networks which bounds the number of active neurons at any time instant of a computation. We prove that any deterministic finite automaton with m states can be simulated by a neural network of optimal size s=Theta(sqrt{m}) with time overhead O(s/e) per one input bit, using the energy O(e), for any e=Omega(log s) and e=O(s), which shows the time-energy tradeoff in recurrent networks.
  • Recently, a new so-called energy complexity measure has been introduced and studied for feedforward perceptron networks. This measure is inspired by the fact that biological neurons require more energy to transmit a spike than not to fire and the activity of neurons in the brain is quite sparse, with only about 1% of neurons firing. We investigate the energy complexity for recurrent networks which bounds the number of active neurons at any time instant of a computation. We prove that any deterministic finite automaton with m states can be simulated by a neural network of optimal size s=Theta(sqrt{m}) with time overhead O(s/e) per one input bit, using the energy O(e), for any e=Omega(log s) and e=O(s), which shows the time-energy tradeoff in recurrent networks. (en)
Title
  • A Low-Energy Implementation of Finite Automata by Optimal-Size Neural Nets
  • A Low-Energy Implementation of Finite Automata by Optimal-Size Neural Nets (en)
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  • A Low-Energy Implementation of Finite Automata by Optimal-Size Neural Nets
  • A Low-Energy Implementation of Finite Automata by Optimal-Size Neural Nets (en)
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  • RIV/67985807:_____/13:00392404!RIV14-GA0-67985807
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  • I, P(GAP202/10/1333)
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  • 58699
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  • RIV/67985807:_____/13:00392404
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  • neural networks; finite automata; energy complexity; optimal size (en)
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  • [A7B736B6B531]
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  • Sofia
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  • Berlin
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  • Artificial Neural Networks and Machine Learning - ICANN 2013
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  • Šíma, Jiří
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issn
  • 0302-9743
number of pages
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  • 10.1007/978-3-642-40728-4_15
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  • Springer-Verlag
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  • 978-3-642-40727-7
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