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Brunel, Isambard

doi:10.1017/cbo9780511793974.018

Cited by 2 publications

(3 citation statements)

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“…In both cases there is a need for an extension of the techniques presented here. It appears that in some cases such extensions are not unsurmountable (Brunel 1993).…”

Section: Discussionmentioning

confidence: 99%

Learning in Neural Networks with Material Synapses

1994

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We discuss the long term maintenance of acquired memory in synaptic connections of a perpetually learning electronic device. This is affected by ascribing each synapse a finite number of stable states in which it can maintain for indefinitely long periods. Learning uncorrelated stimuli is expressed as a stochastic process produced by the neural activities on the synapses. In several interesting cases the stochastic process can be analyzed in detail, leading to a clarification of the performance of the network, as an associative memory, during the process of uninterrupted learning. The stochastic nature of the process and the existence of an asymptotic distribution for the synaptic values in the network imply generically that the memory is a palimpsest but capacity is as low as logN for a network of N neurons. The only way we find for avoiding this tight constraint is to allow the parameters governing the learning process (the coding level of the stimuli; the transition probabilities for potentiation and depression and the number of stable synaptic levels) to depend on the number of neurons. It is shown that a network with synapses that have two stable states can dynamically learn with optimal storage efficiency, be a palimpsest, and maintain its (associative) memory for an indefinitely long time provided the coding level is low and depression is equilibrated against potentiation. We suggest that an option so easily implementable in material devices would not have been overlooked by biology. Finally we discuss the stochastic learning on synapses with variable number of stable synaptic states.

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“…In both cases there is a need for an extension of the techniques presented here. It appears that in some cases such extensions are not unsurmountable (Brunel 1993).…”

Section: Discussionmentioning

confidence: 99%

Learning in Neural Networks with Material Synapses

1994

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“…20 Although care must be taken to account for saturation effects of the electron-gas magnetization at such high fields, these emerging prospects augur well for observation of the phenomena described in this paper. Figure 2 shows the EPR line shift calculated from Eq.…”

Section: ͑12͒mentioning

confidence: 92%

“…It should be pointed out here that recently high-resolution EPR measurements were achieved at fields as high as 24 T ͑i.e., at frequencies over 620 GHz͒, 20 and resonance studies at THz frequencies will probably become practical in the not too distant future. 20 Although care must be taken to account for saturation effects of the electron-gas magnetization at such high fields, these emerging prospects augur well for observation of the phenomena described in this paper.…”

Section: ͑12͒mentioning

confidence: 99%

Exchange-interaction-induced shift ofMn2+EPR in II-VI semiconductors

1999

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We analyze the effect of the exchange interaction between substitutional Mn 2ϩ ions in a II-VI semiconductor lattice and band electrons of the II-VI host on the Mn 2ϩ electron paramagnetic resonance ͑EPR͒ spectrum. We predict that such an exchange interaction can lead to changes in the g factors of Mn 2ϩ ions due to the spin polarization of band electrons, resulting in significant line shifts of the EPR spectra. Such EPR shifts can provide a direct measure of the Pauli susceptibility of semiconductor band electrons. They can also provide direct information on the s-d and p-d exchange interactions.

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Private Life

Cited by 2 publications

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Learning in Neural Networks with Material Synapses

Learning in Neural Networks with Material Synapses

Exchange-interaction-induced shift ofMn2+EPR in II-VI semiconductors

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