Skip to main content
Erschienen in: Cognitive Computation 3/2013

01.09.2013

Improved Path Integration Using a Modified Weight Combination Method

verfasst von: Warren A. Connors, Thomas Trappenberg

Erschienen in: Cognitive Computation | Ausgabe 3/2013

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Dynamic neural fields have been used extensively to model brain functions. These models coupled with the mechanisms of path integration have further been used to model idiothetic updates of hippocampal head and place representations, motor functions and have recently gained interest in the field of cognitive robotics. The sustained packet of activity of a neural field combined with a mechanism for moving this activity provides an elegant representation of state using a continuous attractor network. Path integration (PI) is dependent on the modulation of the collateral weights in the neural field. This modulation introduces an asymmetry in the activity packet, which causes a movement of the packet to a new location in the field. The following work provides an analysis of the PI mechanism, with respect to the speed of the packet movement and the robustness of the field under strong rotational inputs. This analysis illustrates challenges in controlling the activity packet size under strong rotational inputs, as well as a limited speed capability using the existing PI mechanism. As a result of this analysis, we propose a novel modification to the weight combination method to provide a higher speed capability and increased robustness of the field. The results of this proposed method are an increase in over two times the existing speed capability and a resistance of the field to break down under strong rotational inputs.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
2.
Zurück zum Zitat Stringer SM, Rolls ET, Trappenberg TP, de Araujo IET. Self-organizing continuous attractor networks and motor function. Neural Netw. 2003;16:161–82.PubMedCrossRef Stringer SM, Rolls ET, Trappenberg TP, de Araujo IET. Self-organizing continuous attractor networks and motor function. Neural Netw. 2003;16:161–82.PubMedCrossRef
3.
Zurück zum Zitat Stringer SM, Rolls ET, Trappenberg TP. Self-organising continuous attractor networks with multiple activity packets, and the representation of space. Neural Netw. 2004;17:5–27.PubMedCrossRef Stringer SM, Rolls ET, Trappenberg TP. Self-organising continuous attractor networks with multiple activity packets, and the representation of space. Neural Netw. 2004;17:5–27.PubMedCrossRef
4.
Zurück zum Zitat Amari SI. Dynamics of pattern formation in lateral-inhibition type neural fields. Biol Cybern. 1977;27:77–87.PubMedCrossRef Amari SI. Dynamics of pattern formation in lateral-inhibition type neural fields. Biol Cybern. 1977;27:77–87.PubMedCrossRef
5.
Zurück zum Zitat Petersen RS, Taylor JG. Reorganization of somato-sensory cortex after tactile training. In: Touretsky DS, editor. Advances in neural information processing, systems. Cambridge: MIT Press; 1996. p. 82–8. Petersen RS, Taylor JG. Reorganization of somato-sensory cortex after tactile training. In: Touretsky DS, editor. Advances in neural information processing, systems. Cambridge: MIT Press; 1996. p. 82–8.
6.
Zurück zum Zitat Fellenz W, Taylor JG. Establishing retinotopy by lateral inhibition-type homogeneous neural fields. In: ESANN proceedings; 2000. p. 200–49. Fellenz W, Taylor JG. Establishing retinotopy by lateral inhibition-type homogeneous neural fields. In: ESANN proceedings; 2000. p. 200–49.
7.
Zurück zum Zitat Taylor JG. Perception by neural networks. Neural Netw World. 1997;4:363–95. Taylor JG. Perception by neural networks. Neural Netw World. 1997;4:363–95.
8.
Zurück zum Zitat Stringer SM, Rolls ET, Trappenberg TP, de Araujo IET. Self-organising continuous attractor networks and path integration: one-dimensional models of head direction cells. Netw Comput Neural Syst. 2002;13:217–42.CrossRef Stringer SM, Rolls ET, Trappenberg TP, de Araujo IET. Self-organising continuous attractor networks and path integration: one-dimensional models of head direction cells. Netw Comput Neural Syst. 2002;13:217–42.CrossRef
9.
Zurück zum Zitat Stringer SM, Rolls ET, Trappenberg TP, de Araujo IET. Self-organising continuous attractor networks and path integration: two-dimensional models of place cells. Netw Comput Neural Syst. 2002;13:429–46.CrossRef Stringer SM, Rolls ET, Trappenberg TP, de Araujo IET. Self-organising continuous attractor networks and path integration: two-dimensional models of place cells. Netw Comput Neural Syst. 2002;13:429–46.CrossRef
10.
Zurück zum Zitat Stringer SM, Rolls ET, Trappenberg TP. Self-organising continuous attractor network models of hippocampal spatial view cells. Neurobiol Learn Mem. 2005;83:79–92.PubMedCrossRef Stringer SM, Rolls ET, Trappenberg TP. Self-organising continuous attractor network models of hippocampal spatial view cells. Neurobiol Learn Mem. 2005;83:79–92.PubMedCrossRef
11.
Zurück zum Zitat Trappenberg TP. Fundamentals of computational neuroscience. Oxford: Oxford University Press; 2002. Trappenberg TP. Fundamentals of computational neuroscience. Oxford: Oxford University Press; 2002.
12.
Zurück zum Zitat Taylor JG. The race for consciousness. Bradford Books: Cambridge; 2001. Taylor JG. The race for consciousness. Bradford Books: Cambridge; 2001.
13.
15.
Zurück zum Zitat Wilson HR, Cowan JD. A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik. 1973;13:55–80.PubMedCrossRef Wilson HR, Cowan JD. A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik. 1973;13:55–80.PubMedCrossRef
16.
Zurück zum Zitat Taylor JG. Neural ‘bubble’ dynamics in two dimensions: foundations. Biol Cybern. 2000;80:393–409.CrossRef Taylor JG. Neural ‘bubble’ dynamics in two dimensions: foundations. Biol Cybern. 2000;80:393–409.CrossRef
17.
Zurück zum Zitat Doubrovinski K, Herrmann JM. Stability of localized patterns in neural fields. Neural Comput. 2009;21:1125–44.PubMedCrossRef Doubrovinski K, Herrmann JM. Stability of localized patterns in neural fields. Neural Comput. 2009;21:1125–44.PubMedCrossRef
18.
Zurück zum Zitat Jancke D, Erlhagen W, Schoner G, Dinse H. Shorter latencies for motion trajectories than for flashes in population responses of a cat primary visual cortex. J Physiol. 2004;556(3):971–82.PubMedCrossRef Jancke D, Erlhagen W, Schoner G, Dinse H. Shorter latencies for motion trajectories than for flashes in population responses of a cat primary visual cortex. J Physiol. 2004;556(3):971–82.PubMedCrossRef
19.
Zurück zum Zitat Trappenberg TP, Dorris M, Munoz DP, Klein RM. A model of saccade initiation based on the competitive integration of exogenous and endogenous signals in the superior colliculus. J Cogn Neurosci. 2001;13:256–71.PubMedCrossRef Trappenberg TP, Dorris M, Munoz DP, Klein RM. A model of saccade initiation based on the competitive integration of exogenous and endogenous signals in the superior colliculus. J Cogn Neurosci. 2001;13:256–71.PubMedCrossRef
20.
Zurück zum Zitat Rolls ET, Stringer SM, Trappenberg TP. A unified model of spatial and episodic memory. Proc R Soc. 2002;269:1087–93. Rolls ET, Stringer SM, Trappenberg TP. A unified model of spatial and episodic memory. Proc R Soc. 2002;269:1087–93.
21.
Zurück zum Zitat Zhang K. Representation of spatial orientation by the intrinsic dynamics of the head direction cell ensemble: a theory. J Neurosci. 1996;16:2112–26.PubMed Zhang K. Representation of spatial orientation by the intrinsic dynamics of the head direction cell ensemble: a theory. J Neurosci. 1996;16:2112–26.PubMed
22.
Zurück zum Zitat Milford MJ, Wyeth GF, Prasser D. RatSLAM: a hippocampal model for simulataneous localization and mapping. In: Proceedings of the IEEE international conference on robotics and automation; 2004. p. 403–8. Milford MJ, Wyeth GF, Prasser D. RatSLAM: a hippocampal model for simulataneous localization and mapping. In: Proceedings of the IEEE international conference on robotics and automation; 2004. p. 403–8.
23.
Zurück zum Zitat Zibner SK, Faubel C, Iossifidis I, Schoner G. Dynamic neural fields as building blocks of a cortex-inspired architecture for robotic scene representation. IEEE Trans Auton Ment Dev. 2011;3:74–91.CrossRef Zibner SK, Faubel C, Iossifidis I, Schoner G. Dynamic neural fields as building blocks of a cortex-inspired architecture for robotic scene representation. IEEE Trans Auton Ment Dev. 2011;3:74–91.CrossRef
24.
Zurück zum Zitat Erlhagen W, Bicho E. The dynamic neural field approach to cognitive robotics. J Neural Eng. 2006;3:36–54.CrossRef Erlhagen W, Bicho E. The dynamic neural field approach to cognitive robotics. J Neural Eng. 2006;3:36–54.CrossRef
25.
Zurück zum Zitat McNaughton BL, Battaglia FP, Jensen O, Moser EI, Moser M. Path integration and the neural basis of the ‘cognitive map’. Nat Rev Neurosci. 2006;7:663–78.PubMedCrossRef McNaughton BL, Battaglia FP, Jensen O, Moser EI, Moser M. Path integration and the neural basis of the ‘cognitive map’. Nat Rev Neurosci. 2006;7:663–78.PubMedCrossRef
26.
Zurück zum Zitat Samsonovich A, McNaughton BL. Path integration and cognitive mapping in a continous attractor neural network model. J Neurosci. 1997;17:5900–20.PubMed Samsonovich A, McNaughton BL. Path integration and cognitive mapping in a continous attractor neural network model. J Neurosci. 1997;17:5900–20.PubMed
27.
Zurück zum Zitat Skaggs WE, Knierim JJ, Kudrimoti HS, McNaughton BL. 1995 A model of the neural basis of the rats sense of direction In: Tesauro G, Touretzky DS, Leen TK, editors. Advances in neural information processing systems, vol 7. Cambridge: MIT Press; 1995. p. 173–80. Skaggs WE, Knierim JJ, Kudrimoti HS, McNaughton BL. 1995 A model of the neural basis of the rats sense of direction In: Tesauro G, Touretzky DS, Leen TK, editors. Advances in neural information processing systems, vol 7. Cambridge: MIT Press; 1995. p. 173–80.
28.
Zurück zum Zitat Xie X, Hahnloser RH, Seung HS. Double-ring network model of the head-direction system. Phys Rev E Stat Nonlin Soft Matter Phys. 2002;66:041902. Xie X, Hahnloser RH, Seung HS. Double-ring network model of the head-direction system. Phys Rev E Stat Nonlin Soft Matter Phys. 2002;66:041902.
Metadaten
Titel
Improved Path Integration Using a Modified Weight Combination Method
verfasst von
Warren A. Connors
Thomas Trappenberg
Publikationsdatum
01.09.2013
Verlag
Springer US
Erschienen in
Cognitive Computation / Ausgabe 3/2013
Print ISSN: 1866-9956
Elektronische ISSN: 1866-9964
DOI
https://doi.org/10.1007/s12559-013-9209-0

Weitere Artikel der Ausgabe 3/2013

Cognitive Computation 3/2013 Zur Ausgabe

Premium Partner