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Spike Train Distance

Encyclopedia of Computational Neuroscience
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References

  • Aronov D, Victor JD (2004) Non-Euclidean properties of spike train metric spaces. Phys Rev E Stat Nonlin Soft Matter Phys 69(6 Pt 1):061905

    Article  PubMed Central  PubMed  Google Scholar 

  • Aronov D, Reich DS, Mechler F, Victor JD (2003) Neural coding of spatial phase in V1 of the macaque monkey. J Neurophysiol 89:3304–3327

    Article  PubMed  Google Scholar 

  • Dauwels J, Vialatte F, Weber T, Cichocki A (2009) Quantifying statistical interdependence by message passing on graphs. Part I. One-dimensional point processes. Neural Comput 21:2203–2268

    Article  CAS  PubMed  Google Scholar 

  • Diez DM, Schoenberg FP, Woody CD (2012) Algorithms for computing spike time distance and point process prototypes with application to feline neuronal responses to acoustic stimuli. J Neurosci Methods 203(1):186–192

    Article  PubMed  Google Scholar 

  • Dubbs AJ, Seiler BA, Magnasco MO (2010) A fast L(p) spike alignment metric. Neural Comput 22(11):2785–2808

    Article  PubMed  Google Scholar 

  • Florian RV (2012) The chronotron: a neuron that learns to fire temporally precise spike patterns [Research Support, Non-U.S. Gov’t]. PLoS ONE 7(8):e40233. doi:10.1371/journal.pone.0040233

    Google Scholar 

  • Haas JS, White JA (2002) Frequency selectivity of Layer II stellate cells in the medial entorhinal cortex. J Neurophysiol 88:2422–2429

    Article  PubMed  Google Scholar 

  • Houghton C (2009) Studying spike trains using a van Rossum metric with a synapse-like filter. J Comput Neurosci 26:149–155

    Article  PubMed  Google Scholar 

  • Houghton C, Sen K (2008) A new multineuron spike train metric. Neural Comput 20:1495–1511

    Article  PubMed Central  PubMed  Google Scholar 

  • Houghton C, Victor JD (2011) Measuring representational distances – the spike train metrics approach. In: Kriegeskorte N, Kreiman G (eds) Understanding visual population codes – towards a common multivariate framework for cell recording and functional imaging. MIT Press, Cambridge, MA

    Google Scholar 

  • Hunter JD, Milton G (2003) Amplitude and frequency dependence of spike timing: implications for dynamic regulation. J Neurophysiol 90:387–394

    Article  PubMed  Google Scholar 

  • Jolivet R, Kobayashi R, Rauch A, Naud R, Shinomoto S, Gerstner W (2008) A benchmark test for quantitative assessment of simple neuron models. J Neurosci Method 169(2):417–424

    Article  Google Scholar 

  • Kistler WM, Gerstner W, van Hemmen JL (1997) Reduction of the Hodgkin-Huxley equations to a single-variable threshold model. Neural Comput 9(5):1015–1045

    Article  Google Scholar 

  • Kreuz T, Haas JS, Morelli A, Abarbanel HD, Politi A (2007) Measuring spike train synchrony. J Neurosci Method 165:151–161

    Article  Google Scholar 

  • Kreuz T, Chicharro D, Houghton C, Andrzejak RG, Mormann F (2012) Monitoring spike train synchrony. arXiv:1209.6604

    Google Scholar 

  • Needleman SB, Wunsch CD (1970) A general method applicable to the search for similarities in the amino acid sequence of two proteins. J Mol Biol 48(3):443–453

    Article  CAS  PubMed  Google Scholar 

  • Quian-Quiroga R, Kreuz T, Grassberger P (2002) Event synchronization: a simple and fast method to measure synchronicity and time delay patterns. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 66:041904

    CAS  Google Scholar 

  • Rusu CV, Florian RV (2014) A new class of metrics for spike trains. Neural Comput 26(2):306–348. doi:10.1162/NECO_a_00545

    Article  PubMed  Google Scholar 

  • Schreiber S, Fellous JM, Whitmer D, Tiesinga P, Sejnowski TJ (2003) A new correlation-based measure of spike timing reliability. Neurocomputing 52–54:925–931

    Article  PubMed Central  PubMed  Google Scholar 

  • Sellers P (1974) On the theory and computation of evolutionary distances. SIAM J Appl Math 26:787–793

    Article  Google Scholar 

  • Sen K, Jorge-Rivera JC, Marder E, Abbott LF (1996) Decoding synapses. J Neurosci 16(19):6307–6318

    CAS  PubMed  Google Scholar 

  • van Rossum MC (2001) A novel spike distance. Neural Comput 13(4):751–763

    Article  PubMed  Google Scholar 

  • Victor JD (2005) Spike train metrics. Curr Opin Neurobiol 15(5):585–592

    Article  PubMed Central  CAS  PubMed  Google Scholar 

  • Victor JD, Purpura KP (1996) Nature and precision of temporal coding in visual cortex: a metric- space analysis. J Neurophysiol 76(2):1310–1326

    CAS  PubMed  Google Scholar 

  • Victor JD, Purpura KP (1997) Metric-space analysis of spike trains: theory, algorithms and application. Network 8:127–164

    Article  Google Scholar 

  • Victor JD, Purpura KP (2010) Spike Metrics. In: Rotter S, Gruen S (eds) Analysis of parallel spike trains. Springer, New York/Heidelberg

    Google Scholar 

  • Victor JD, Goldberg DH, Gardner D (2007) Dynamic programming algorithms for comparing multineuronal spike trains via cost-based metrics and alignments. J Neurosci Methods 161(2):351–360

    Article  PubMed Central  PubMed  Google Scholar 

Further Reading

  • Dubbs AJ, Seiler BA, Magnasco MO (2010) A fast L(p) spike alignment metric. Neural Comput 22(11):2785–2808

    Article  PubMed  Google Scholar 

  • Houghton C, Victor JD (2011) Measuring representational distances – the spike train metrics approach. In: Kriegeskorte N, Kreiman G (eds) Understanding visual population coes – towards a common multivariate framework for cell recording and functional imaging. MIT Press, Cambridge, MA

    Google Scholar 

  • Needleman SB, Wunsch CD (1970) A general method applicable to the search for similarities in the amino acid sequence of two proteins. J Mol Biol 48(3):443–453

    Article  CAS  PubMed  Google Scholar 

  • Van Rossum MC (2001) A novel spike distance. Neural Comput 13(4):751–763

    Article  PubMed  Google Scholar 

  • Victor JD, Purpura KP (1997) Metric-space analysis of spike trains: theory, algorithms and application. Network 8:127–164

    Article  Google Scholar 

  • Victor JD, Purpura KP (2010) Spike Metrics. In: Rotter S, Gruen S (eds) Analysis of parallel spike trains. Springer, New York/Heidelberg

    Google Scholar 

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Acknowledgments

The author thanks Conor Houghton and Thomas Kreuz for their very helpful comments on this entry. This work was supported by NIH NEI grant EY09314.

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Victor, J.D. (2014). Spike Train Distance. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_409-1

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  • DOI: https://doi.org/10.1007/978-1-4614-7320-6_409-1

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Chapter history

  1. Latest

    Spike Train Distance
    Published:
    11 December 2019

    DOI: https://doi.org/10.1007/978-1-4614-7320-6_409-2

  2. Original

    Spike Train Distance
    Published:
    20 February 2014

    DOI: https://doi.org/10.1007/978-1-4614-7320-6_409-1