Spiking neuron network Helmholtz machine
Identifieur interne : 000542 ( Main/Merge ); précédent : 000541; suivant : 000543Spiking neuron network Helmholtz machine
Auteurs : Pavel Sountsov [États-Unis] ; Paul Miller [États-Unis]Source :
- Frontiers in Computational Neuroscience [ 1662-5188 ] ; 2015.
Abstract
An increasing amount of behavioral and neurophysiological data suggests that the brain performs optimal (or near-optimal) probabilistic inference and learning during perception and other tasks. Although many machine learning algorithms exist that perform inference and learning in an optimal way, the complete description of how one of those algorithms (or a novel algorithm) can be implemented in the brain is currently incomplete. There have been many proposed solutions that address how neurons can perform optimal inference but the question of how synaptic plasticity can implement optimal learning is rarely addressed. This paper aims to unify the two fields of probabilistic inference and synaptic plasticity by using a neuronal network of realistic model spiking neurons to implement a well-studied computational model called the Helmholtz Machine. The Helmholtz Machine is amenable to neural implementation as the algorithm it uses to learn its parameters, called the wake-sleep algorithm, uses a local delta learning rule. Our spiking-neuron network implements both the delta rule and a small example of a Helmholtz machine. This neuronal network can learn an internal model of continuous-valued training data sets without supervision. The network can also perform inference on the learned internal models. We show how various biophysical features of the neural implementation constrain the parameters of the wake-sleep algorithm, such as the duration of the wake and sleep phases of learning and the minimal sample duration. We examine the deviations from optimal performance and tie them to the properties of the synaptic plasticity rule.
Url:
DOI: 10.3389/fncom.2015.00046
PubMed: 25954191
PubMed Central: 4405618
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PMC:4405618Le document en format XML
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<front><div type="abstract" xml:lang="en"><p>An increasing amount of behavioral and neurophysiological data suggests that the brain performs optimal (or near-optimal) probabilistic inference and learning during perception and other tasks. Although many machine learning algorithms exist that perform inference and learning in an optimal way, the complete description of how one of those algorithms (or a novel algorithm) can be implemented in the brain is currently incomplete. There have been many proposed solutions that address how neurons can perform optimal inference but the question of how synaptic plasticity can implement optimal learning is rarely addressed. This paper aims to unify the two fields of probabilistic inference and synaptic plasticity by using a neuronal network of realistic model spiking neurons to implement a well-studied computational model called the Helmholtz Machine. The Helmholtz Machine is amenable to neural implementation as the algorithm it uses to learn its parameters, called the wake-sleep algorithm, uses a local delta learning rule. Our spiking-neuron network implements both the delta rule and a small example of a Helmholtz machine. This neuronal network can learn an internal model of continuous-valued training data sets without supervision. The network can also perform inference on the learned internal models. We show how various biophysical features of the neural implementation constrain the parameters of the wake-sleep algorithm, such as the duration of the wake and sleep phases of learning and the minimal sample duration. We examine the deviations from optimal performance and tie them to the properties of the synaptic plasticity rule.</p>
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<back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Alain, C" uniqKey="Alain C">C. Alain</name>
</author>
<author><name sortKey="Snyder, J S" uniqKey="Snyder J">J. S. Snyder</name>
</author>
<author><name sortKey="He, Y" uniqKey="He Y">Y. He</name>
</author>
<author><name sortKey="Reinke, K S" uniqKey="Reinke K">K. S. Reinke</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Alais, D" uniqKey="Alais D">D. Alais</name>
</author>
<author><name sortKey="Burr, D" uniqKey="Burr D">D. Burr</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Alexandrescu, A" uniqKey="Alexandrescu A">A. Alexandrescu</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Atkins, J E" uniqKey="Atkins J">J. E. Atkins</name>
</author>
<author><name sortKey="Fiser, J" uniqKey="Fiser J">J. Fiser</name>
</author>
<author><name sortKey="Jacobs, R A" uniqKey="Jacobs R">R. A. Jacobs</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Berkes, P" uniqKey="Berkes P">P. Berkes</name>
</author>
<author><name sortKey="Orban, G" uniqKey="Orban G">G. Orbán</name>
</author>
<author><name sortKey="Lengyel, M" uniqKey="Lengyel M">M. Lengyel</name>
</author>
<author><name sortKey="Fiser, J" uniqKey="Fiser J">J. Fiser</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Bienenstock, E L" uniqKey="Bienenstock E">E. L. Bienenstock</name>
</author>
<author><name sortKey="Cooper, L N" uniqKey="Cooper L">L. N. Cooper</name>
</author>
<author><name sortKey="Munro, P W" uniqKey="Munro P">P. W. Munro</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Bishop, C M" uniqKey="Bishop C">C. M. Bishop</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Blaisdell, A P" uniqKey="Blaisdell A">A. P. Blaisdell</name>
</author>
<author><name sortKey="Sawa, K" uniqKey="Sawa K">K. Sawa</name>
</author>
<author><name sortKey="Leising, K J" uniqKey="Leising K">K. J. Leising</name>
</author>
<author><name sortKey="Waldmann, M R" uniqKey="Waldmann M">M. R. Waldmann</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Brea, J" uniqKey="Brea J">J. Brea</name>
</author>
<author><name sortKey="Senn, W" uniqKey="Senn W">W. Senn</name>
</author>
<author><name sortKey="Pfister, J" uniqKey="Pfister J">J. Pfister</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Buesing, L" uniqKey="Buesing L">L. Buesing</name>
</author>
<author><name sortKey="Bill, J" uniqKey="Bill J">J. Bill</name>
</author>
<author><name sortKey="Nessler, B" uniqKey="Nessler B">B. Nessler</name>
</author>
<author><name sortKey="Maass, W" uniqKey="Maass W">W. Maass</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Burge, J" uniqKey="Burge J">J. Burge</name>
</author>
<author><name sortKey="Girshick, A R" uniqKey="Girshick A">A. R. Girshick</name>
</author>
<author><name sortKey="Banks, M S" uniqKey="Banks M">M. S. Banks</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Buzsaki, G" uniqKey="Buzsaki G">G. Buzsáki</name>
</author>
<author><name sortKey="Draguhn, A" uniqKey="Draguhn A">A. Draguhn</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Castillo, J D" uniqKey="Castillo J">J. D. Castillo</name>
</author>
<author><name sortKey="Katz, B" uniqKey="Katz B">B. Katz</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Chalk, M" uniqKey="Chalk M">M. Chalk</name>
</author>
<author><name sortKey="Seitz, A" uniqKey="Seitz A">A. Seitz</name>
</author>
<author><name sortKey="Series, P" uniqKey="Series P">P. Seriès</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Dayan, P" uniqKey="Dayan P">P. Dayan</name>
</author>
<author><name sortKey="Hinton, G E" uniqKey="Hinton G">G. E. Hinton</name>
</author>
<author><name sortKey="Neal, R M" uniqKey="Neal R">R. M. Neal</name>
</author>
<author><name sortKey="Zemel, R S" uniqKey="Zemel R">R. S. Zemel</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Dayan, P" uniqKey="Dayan P">P. Dayan</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Dayan, P" uniqKey="Dayan P">P. Dayan</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Deneve, S" uniqKey="Deneve S">S. Deneve</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Deneve, S" uniqKey="Deneve S">S. Deneve</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="D Souza, P" uniqKey="D Souza P">P. D'Souza</name>
</author>
<author><name sortKey="Liu, S C" uniqKey="Liu S">S.-C. Liu</name>
</author>
<author><name sortKey="Hahnloser, R H R" uniqKey="Hahnloser R">R. H. R. Hahnloser</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Eliasmith, C" uniqKey="Eliasmith C">C. Eliasmith</name>
</author>
<author><name sortKey="Anderson, C H" uniqKey="Anderson C">C. H. Anderson</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Ernst, M O" uniqKey="Ernst M">M. O. Ernst</name>
</author>
<author><name sortKey="Banks, M S" uniqKey="Banks M">M. S. Banks</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Feng, S" uniqKey="Feng S">S. Feng</name>
</author>
<author><name sortKey="Holmes, P" uniqKey="Holmes P">P. Holmes</name>
</author>
<author><name sortKey="Rorie, A" uniqKey="Rorie A">A. Rorie</name>
</author>
<author><name sortKey="Newsome, W T" uniqKey="Newsome W">W. T. Newsome</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Fiser, J" uniqKey="Fiser J">J. Fiser</name>
</author>
<author><name sortKey="Berkes, P" uniqKey="Berkes P">P. Berkes</name>
</author>
<author><name sortKey="Orban, G" uniqKey="Orban G">G. Orbán</name>
</author>
<author><name sortKey="Lengyel, M" uniqKey="Lengyel M">M. Lengyel</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Fontanini, A" uniqKey="Fontanini A">A. Fontanini</name>
</author>
<author><name sortKey="Katz, D B" uniqKey="Katz D">D. B. Katz</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Fontanini, A" uniqKey="Fontanini A">A. Fontanini</name>
</author>
<author><name sortKey="Katz, D B" uniqKey="Katz D">D. B. Katz</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Friston, K" uniqKey="Friston K">K. Friston</name>
</author>
<author><name sortKey="Kiebel, S" uniqKey="Kiebel S">S. Kiebel</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Griffiths, T L" uniqKey="Griffiths T">T. L. Griffiths</name>
</author>
<author><name sortKey="Tenenbaum, J B" uniqKey="Tenenbaum J">J. B. Tenenbaum</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Griffiths, T L" uniqKey="Griffiths T">T. L. Griffiths</name>
</author>
<author><name sortKey="Chater, N" uniqKey="Chater N">N. Chater</name>
</author>
<author><name sortKey="Kemp, C" uniqKey="Kemp C">C. Kemp</name>
</author>
<author><name sortKey="Perfors, A" uniqKey="Perfors A">A. Perfors</name>
</author>
<author><name sortKey="Tenenbaum, J B" uniqKey="Tenenbaum J">J. B. Tenenbaum</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Haas, J S" uniqKey="Haas J">J. S. Haas</name>
</author>
<author><name sortKey="Nowotny, T" uniqKey="Nowotny T">T. Nowotny</name>
</author>
<author><name sortKey="Abarbanel, H D I" uniqKey="Abarbanel H">H. D. I. Abarbanel</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Han, F" uniqKey="Han F">F. Han</name>
</author>
<author><name sortKey="Caporale, N" uniqKey="Caporale N">N. Caporale</name>
</author>
<author><name sortKey="Dan, Y" uniqKey="Dan Y">Y. Dan</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Hancock, P J B" uniqKey="Hancock P">P. J. B. Hancock</name>
</author>
<author><name sortKey="Smith, L S" uniqKey="Smith L">L. S. Smith</name>
</author>
<author><name sortKey="Phillips, W A" uniqKey="Phillips W">W. A. Phillips</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Hawkey, D J C" uniqKey="Hawkey D">D. J. C. Hawkey</name>
</author>
<author><name sortKey="Amitay, S" uniqKey="Amitay S">S. Amitay</name>
</author>
<author><name sortKey="Moore, D R" uniqKey="Moore D">D. R. Moore</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Helmholtz, H" uniqKey="Helmholtz H">H. Helmholtz</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Hinton, G E" uniqKey="Hinton G">G. E. Hinton</name>
</author>
<author><name sortKey="Dayan, P" uniqKey="Dayan P">P. Dayan</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Hinton, G E" uniqKey="Hinton G">G. E. Hinton</name>
</author>
<author><name sortKey="Dayan, P" uniqKey="Dayan P">P. Dayan</name>
</author>
<author><name sortKey="Frey, B J" uniqKey="Frey B">B. J. Frey</name>
</author>
<author><name sortKey="Neal, R M" uniqKey="Neal R">R. M. Neal</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Holtmaat, A" uniqKey="Holtmaat A">A. Holtmaat</name>
</author>
<author><name sortKey="Svoboda, K" uniqKey="Svoboda K">K. Svoboda</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Izhikevich, E M" uniqKey="Izhikevich E">E. M. Izhikevich</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Jahr, C" uniqKey="Jahr C">C. Jahr</name>
</author>
<author><name sortKey="Stevens, C" uniqKey="Stevens C">C. Stevens</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Jones, E" uniqKey="Jones E">E. Jones</name>
</author>
<author><name sortKey="Oliphant, T" uniqKey="Oliphant T">T. Oliphant</name>
</author>
<author><name sortKey="Peterson, P" uniqKey="Peterson P">P. Peterson</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Kording, K P" uniqKey="Kording K">K. P. Körding</name>
</author>
<author><name sortKey="Wolpert, D M" uniqKey="Wolpert D">D. M. Wolpert</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Kullback, S" uniqKey="Kullback S">S. Kullback</name>
</author>
<author><name sortKey="Leibler, R A" uniqKey="Leibler R">R. A. Leibler</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Lee, T S" uniqKey="Lee T">T. S. Lee</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Letzkus, J J" uniqKey="Letzkus J">J. J. Letzkus</name>
</author>
<author><name sortKey="Kampa, B M" uniqKey="Kampa B">B. M. Kampa</name>
</author>
<author><name sortKey="Stuart, G J" uniqKey="Stuart G">G. J. Stuart</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Lin, J" uniqKey="Lin J">J. Lin</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Lochmann, T" uniqKey="Lochmann T">T. Lochmann</name>
</author>
<author><name sortKey="Deneve, S" uniqKey="Deneve S">S. Deneve</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Ma, W J" uniqKey="Ma W">W. J. Ma</name>
</author>
<author><name sortKey="Beck, J M" uniqKey="Beck J">J. M. Beck</name>
</author>
<author><name sortKey="Latham, P E" uniqKey="Latham P">P. E. Latham</name>
</author>
<author><name sortKey="Pouget, A" uniqKey="Pouget A">A. Pouget</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Ma, W J" uniqKey="Ma W">W. J. Ma</name>
</author>
<author><name sortKey="Beck, J M" uniqKey="Beck J">J. M. Beck</name>
</author>
<author><name sortKey="Pouget, A" uniqKey="Pouget A">A. Pouget</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Massimini, M" uniqKey="Massimini M">M. Massimini</name>
</author>
<author><name sortKey="Ferrarelli, F" uniqKey="Ferrarelli F">F. Ferrarelli</name>
</author>
<author><name sortKey="Huber, R" uniqKey="Huber R">R. Huber</name>
</author>
<author><name sortKey="Esser, S K" uniqKey="Esser S">S. K. Esser</name>
</author>
<author><name sortKey="Singh, H" uniqKey="Singh H">H. Singh</name>
</author>
<author><name sortKey="Tononi, G" uniqKey="Tononi G">G. Tononi</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Moran, R J" uniqKey="Moran R">R. J. Moran</name>
</author>
<author><name sortKey="Campo, P" uniqKey="Campo P">P. Campo</name>
</author>
<author><name sortKey="Symmonds, M" uniqKey="Symmonds M">M. Symmonds</name>
</author>
<author><name sortKey="Stephan, K E" uniqKey="Stephan K">K. E. Stephan</name>
</author>
<author><name sortKey="Dolan, R J" uniqKey="Dolan R">R. J. Dolan</name>
</author>
<author><name sortKey="Friston, K J" uniqKey="Friston K">K. J. Friston</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Neal, R M" uniqKey="Neal R">R. M. Neal</name>
</author>
<author><name sortKey="Dayan, P" uniqKey="Dayan P">P. Dayan</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Nessler, B" uniqKey="Nessler B">B. Nessler</name>
</author>
<author><name sortKey="Pfeiffer, M" uniqKey="Pfeiffer M">M. Pfeiffer</name>
</author>
<author><name sortKey="Buesing, L" uniqKey="Buesing L">L. Buesing</name>
</author>
<author><name sortKey="Maass, W" uniqKey="Maass W">W. Maass</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Okun, M" uniqKey="Okun M">M. Okun</name>
</author>
<author><name sortKey="Yger, P" uniqKey="Yger P">P. Yger</name>
</author>
<author><name sortKey="Marguet, S L" uniqKey="Marguet S">S. L. Marguet</name>
</author>
<author><name sortKey="Gerard Mercier, F" uniqKey="Gerard Mercier F">F. Gerard-Mercier</name>
</author>
<author><name sortKey="Benucci, A" uniqKey="Benucci A">A. Benucci</name>
</author>
<author><name sortKey="Katzner, S" uniqKey="Katzner S">S. Katzner</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Orban, G" uniqKey="Orban G">G. Orbán</name>
</author>
<author><name sortKey="Fiser, J" uniqKey="Fiser J">J. Fiser</name>
</author>
<author><name sortKey="Aslin, R N R" uniqKey="Aslin R">R. N. R. Aslin</name>
</author>
<author><name sortKey="Lengyel, M" uniqKey="Lengyel M">M. Lengyel</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Pecevski, D" uniqKey="Pecevski D">D. Pecevski</name>
</author>
<author><name sortKey="Buesing, L" uniqKey="Buesing L">L. Buesing</name>
</author>
<author><name sortKey="Maass, W" uniqKey="Maass W">W. Maass</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Pfister, J P" uniqKey="Pfister J">J.-P. Pfister</name>
</author>
<author><name sortKey="Gerstner, W" uniqKey="Gerstner W">W. Gerstner</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Rao, R" uniqKey="Rao R">R. Rao</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Rezende, D" uniqKey="Rezende D">D. Rezende</name>
</author>
<author><name sortKey="Wierstra, D" uniqKey="Wierstra D">D. Wierstra</name>
</author>
<author><name sortKey="Gerstner, W" uniqKey="Gerstner W">W. Gerstner</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Sanborn, A N" uniqKey="Sanborn A">A. N. Sanborn</name>
</author>
<author><name sortKey="Griffiths, T L" uniqKey="Griffiths T">T. L. Griffiths</name>
</author>
<author><name sortKey="Navarro, D J" uniqKey="Navarro D">D. J. Navarro</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Sherman, S M" uniqKey="Sherman S">S. M. Sherman</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Shi, L" uniqKey="Shi L">L. Shi</name>
</author>
<author><name sortKey="Griffiths, T" uniqKey="Griffiths T">T. Griffiths</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Sjostrom, P J" uniqKey="Sjostrom P">P. J. Sjöström</name>
</author>
<author><name sortKey="H Usser, M" uniqKey="H Usser M">M. Häusser</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Stanford, T R" uniqKey="Stanford T">T. R. Stanford</name>
</author>
<author><name sortKey="Shankar, S" uniqKey="Shankar S">S. Shankar</name>
</author>
<author><name sortKey="Massoglia, D P" uniqKey="Massoglia D">D. P. Massoglia</name>
</author>
<author><name sortKey="Costello, M G" uniqKey="Costello M">M. G. Costello</name>
</author>
<author><name sortKey="Salinas, E" uniqKey="Salinas E">E. Salinas</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Steriade, M" uniqKey="Steriade M">M. Steriade</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Stone, J" uniqKey="Stone J">J. Stone</name>
</author>
<author><name sortKey="Gohara, D" uniqKey="Gohara D">D. Gohara</name>
</author>
<author><name sortKey="Shi, G" uniqKey="Shi G">G. Shi</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Sutherland, G R" uniqKey="Sutherland G">G. R. Sutherland</name>
</author>
<author><name sortKey="Mcnaughton, B" uniqKey="Mcnaughton B">B. McNaughton</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Tassinari, H" uniqKey="Tassinari H">H. Tassinari</name>
</author>
<author><name sortKey="Hudson, T E" uniqKey="Hudson T">T. E. Hudson</name>
</author>
<author><name sortKey="Landy, M S" uniqKey="Landy M">M. S. Landy</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Treves, A" uniqKey="Treves A">A. Treves</name>
</author>
<author><name sortKey="Panzeri, S" uniqKey="Panzeri S">S. Panzeri</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Turrigiano, G G" uniqKey="Turrigiano G">G. G. Turrigiano</name>
</author>
<author><name sortKey="Nelson, S B" uniqKey="Nelson S">S. B. Nelson</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Van Beers, R J" uniqKey="Van Beers R">R. J. van Beers</name>
</author>
<author><name sortKey="Sittig, A C" uniqKey="Sittig A">A. C. Sittig</name>
</author>
<author><name sortKey="Gon, J J" uniqKey="Gon J">J. J. Gon</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Van Rossum, G" uniqKey="Van Rossum G">G. van Rossum</name>
</author>
<author><name sortKey="Drake, F L" uniqKey="Drake F">F. L. Drake</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Vitureira, N" uniqKey="Vitureira N">N. Vitureira</name>
</author>
<author><name sortKey="Letellier, M" uniqKey="Letellier M">M. Letellier</name>
</author>
<author><name sortKey="Goda, Y" uniqKey="Goda Y">Y. Goda</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Weiss, Y" uniqKey="Weiss Y">Y. Weiss</name>
</author>
<author><name sortKey="Simoncelli, E P" uniqKey="Simoncelli E">E. P. Simoncelli</name>
</author>
<author><name sortKey="Adelson, E H" uniqKey="Adelson E">E. H. Adelson</name>
</author>
</analytic>
</biblStruct>
<biblStruct><analytic><author><name sortKey="Welberg, L" uniqKey="Welberg L">L. Welberg</name>
</author>
</analytic>
</biblStruct>
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