Information geometric measure for neural spikes

Information geometric measure for neural spikes (2002)

Cached

Download Links

[www.brain.riken.jp]

by Hiroyuki Nakahara , Shun-ichi Amari

Venue:	Neural Computation
Citations:	4 - 1 self

BibTeX

@ARTICLE{Nakahara02informationgeometric,
    author = {Hiroyuki Nakahara and Shun-ichi Amari},
    title = {Information geometric measure for neural spikes},
    journal = {Neural Computation},
    year = {2002},
    volume = {14},
    pages = {2269--2316}
}

Bookmark

OpenURL

Abstract

The present study introduces information-geometric measures to analyze neural ring patterns by taking not only the second-order but also higher-order interactions among neurons into ac-count. Information geometry provides useful tools and concepts for this purpose, including the orthogonality of coordinate pa-rameters and the Pythagoras relation in the Kullback-Leibler di-vergence. Based on this orthogonality, we show anovel method to analyze spike ring patterns by decomposing the interactions of neurons of various orders. As a result, purely pairwise, triple-wise, and higher-order interactions are singled out. We also demonstrate the bene ts of our proposal by using real neural data, recorded in the prefrontal and parietal cortices of mon-keys. 1

Citations

397	Theory of point estimation - Lehmann, Casella - 1998
349	CM: Visual feature integration and the temporal correlation hypothesis. Annu Rev Neurosci - Singer, Gray - 1995
279	Theoretical Statistics - Cox, Hinkley - 1974
276	Corticonics, Neural circuits of the cerebral cortex Cambridge university - Abeles - 1991
202	I-divergence Geometry of Probability Distributions and Minimization Problems. The Annuals of Probability - Csiszar - 1975
149	Neuronal population coding of movement direction - Georgopoulos, Schwartz, et al. - 1986
140	On the rational of maximum entropy methods - Jaynes - 1982
105	Dynamics of the hippocampal ensemble code for space - Wilson, McNaughton - 1993
92	Reading a neural code - Bialek, Rieke, et al. - 1991
92	Information and accuracy attainable in the estimation of statistical parameters - Rao - 1945
86	Temporal encoding of two-dimensional patterns by single units in primate primary visual cortex. I. Stimulusresponse relations - Richmond, Optican, et al. - 1990
82	RC (2000) Temporal coding of visual information in the thalamus - Reinagel, Reid
79	Neuronal spike trains and stochastic point processes . I . The single spike train - GERSTEIN, P - 1967
62	Dynamics of neuronal interactions in monkey cortex in relation to behavioural events. Nature 373: 515–518 - Vaadia, Haalman, et al. - 1995
58	The upward bias in measures of information derived from limited data samples - Treves, Panzeri - 1995
49	Information encoding and the response of single neurons in the primate temporal visual cortex - Tovée, Rolls, et al. - 1993
45	Temporal coding in the visual cortex: New vistas on integration in the nervous system. Trends in Neurosciences 15 - Engel, König, et al. - 1992
41	Visual and oculomotor functions of monkey substantia nigra pars reticulata. III. Memory-contingent visual and saccade responses - Hikosaka, Wurtz - 1983
40	Differential geometry of curved exponential families –curvatures and Information loss. Annals of statistics - Amari - 1982
40	How independent are the messages carried by adjacent inferior temporal cortical neurons - Gawne, Richmond - 1993
40	Correlations and the encoding of information in the nervous system - Panzeri, Schultz, et al. - 1999
39	The representational capacity of the distributed encoding of information provided by populations of neurons in primate termpoal visual cortex - Rolls, Treves, et al. - 1997
38	Bursts as a unit of neural information: making unreliable synapses reliable - Lisman - 1997
35	Metric-space analysis of spike trains: theory, algorithms, and application - Victor, Purpura - 1997
33	Spatiotemporal structure of cortical activity: properties and behavioral relevance - Prut, Vaadia, et al. - 1998
32	Information geometry of Boltzmann machines - Amari, Kurata, et al. - 1992
30	Sense and the single neuron: probing the physiology of perception - Parker, Newsome - 1998
29	Who reads temporal information contained across synchronized and oscillatory spike trains? Nature 395 - MacLeod, Backer, et al. - 1998
28	On topology properties of f-divergences - Csiszár - 1967
28	Replay and time compression of recurring spike sequences in the hippocampus - Nadasdy, Hirase, et al. - 1999
27	Neuronal interactions improve cortical population coding of movement direction - Maynard, Hatsopoulos, et al. - 1999
25	Synergy in a neural code - Brenner, Strong, et al. - 2000
24	How well can we estimate the information carried in neuronal responses from limited samples? Neural Comput 9: 649–665 - Golomb, Hertz, et al. - 1997
24	E.T.Rolls. On decoding the responses of a population of neurons from short time windows - Panzeri, Schultz, et al. - 1999
22	Unitary events in multiple singleneuron spiking activity: I. Detection and significance - Grün, Diesmann, et al. - 2002
22	Stochastic nature of precisely timed spike patterns in visual system neuronal responses - Oram, Wiener, et al. - 1999
20	Cerebellar complex spikes encode both destinations and errors in arm movements. Nature 392: 494–497 - Kitazawa, Kimura, et al. - 1998
19	Decoding cortical neuronal signals: Network models, information estimation and spatial tuning - Kjaer, Hertz, et al. - 1994
18	Neuronal assemblies - Gerstein, Bedenbaugh, et al. - 1989
16	Neural coding: higher–order temporal patterns in the neurostatistics of cell assemblies - Martignon, Deco, et al. - 2000
13	Reconstructing the engram: simultaneous, multisite, many single neuron recordings. Neuron - Nicolelis, Ghazanfar, et al. - 1997
12	unitary events without discretization of time - Grün, Diesmann, et al. - 1999
11	Differential geometry of a parametric family of invertible linear systems --- Riemannian metric, dual affine connections and divergence - Amari - 1987
11	Statistical inference under multiterminal rate restrictions: A differential geometric approach - Amari, Han - 1989
11	Spike synchronization and rate modulation di erentially involved in motor cortical function - Riehle, Grün, et al. - 1953
10	Representational capacity of face coding in monkeys - Abbott, Rolls, et al. - 1996
10	Precise spatiotemporal repeating patterns in monkey primary and supplementary motor areas occur at chance levels - Baker, Lemon - 2000
10	Unbiased measures of transmitted information and channel capacity from multivariate neuronal data - Optican, Gawne, et al. - 1991
10	An accurate measure of the instantaneous discharge probability, with application to unitary joint-event analysis. Neural Comput - Pauluis, SN - 2000
10	Kendall´s Advanced Theory of Statistics, Vol. 2, Classical Inference and Relationship, 5th Ed - Stuart, Ord - 1991