Higher-Order Correlations and Cumulants

[1]  Robin A. A. Ince,et al.  On the presence of high-order interactions among somatosensory neurons and their effect on information transmission , 2009 .

[2]  D. H. Johnson,et al.  Jointly Poisson processes , 2009, 0911.2524.

[3]  Sonja Grün,et al.  CuBIC: cumulant based inference of higher-order correlations in massively parallel spike trains , 2009, Journal of Computational Neuroscience.

[4]  Stefano Panzeri,et al.  The impact of high-order interactions on the rate of synchronous discharge and information transmission in somatosensory cortex , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[5]  M. A. Smith,et al.  Correlations and brain states: from electrophysiology to functional imaging , 2009, Current Opinion in Neurobiology.

[6]  Sonja Grün,et al.  Higher-Order Correlations in Non-Stationary Parallel Spike Trains: Statistical Modeling and Inference , 2009, Front. Comput. Neurosci..

[7]  Emery N. Brown,et al.  State-space analysis on time-varying correlations in parallel spike sequences , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[8]  Michael L. Platt,et al.  What can developmental and comparative cognitive neuroscience tell us about the adult human brain? , 2009, Current Opinion in Neurobiology.

[9]  Robin A. A. Ince,et al.  Python for Information Theoretic Analysis of Neural Data , 2008, Frontiers Neuroinformatics.

[10]  Peter E. Latham,et al.  Pairwise Maximum Entropy Models for Studying Large Biological Systems: When They Can Work and When They Can't , 2008, PLoS Comput. Biol..

[11]  A. Aertsen,et al.  Dependence of Neuronal Correlations on Filter Characteristics and Marginal Spike Train Statistics , 2008, Neural Computation.

[12]  Sonja Grün,et al.  Can Spike Coordination Be Differentiated from Rate Covariation? , 2008, Neural Computation.

[13]  G. Buzsáki,et al.  Behavior-dependent short-term assembly dynamics in the medial prefrontal cortex , 2008, Nature Neuroscience.

[14]  Eric Shea-Brown,et al.  Correlation and synchrony transfer in integrate-and-fire neurons: basic properties and consequences for coding. , 2008, Physical review letters.

[15]  Ilan N Goodman,et al.  Inferring the capacity of the vector Poisson channel with a Bernoulli model , 2008, Network.

[16]  S. Rotter,et al.  Decomposition of neuronal assembly activity via empirical de-Poissonization , 2007, 0711.1965.

[17]  T. Womelsdorf,et al.  The role of neuronal synchronization in selective attention , 2007, Current Opinion in Neurobiology.

[18]  L. You,et al.  Multiparty correlation measure based on the cumulant , 2006 .

[19]  Jonathon Shlens,et al.  The Structure of Multi-Neuron Firing Patterns in Primate Retina , 2006, The Journal of Neuroscience.

[20]  E. Nardo,et al.  A unifying framework for $k$-statistics, polykays and their multivariate generalizations , 2006, math/0607623.

[21]  Michael J. Berry,et al.  Weak pairwise correlations imply strongly correlated network states in a neural population , 2005, Nature.

[22]  Loukia Meligkotsidou,et al.  Multivariate Poisson regression with covariance structure , 2005, Stat. Comput..

[23]  M. A. Smith,et al.  Stimulus Dependence of Neuronal Correlation in Primary Visual Cortex of the Macaque , 2005, The Journal of Neuroscience.

[24]  Laurenz Wiskott,et al.  CuBICA: independent component analysis by simultaneous third- and fourth-order cumulant diagonalization , 2004, IEEE Transactions on Signal Processing.

[25]  Yeong-Nan Yeh,et al.  Structural decompositions of multivariate distributions with applications in moment and cumulant , 2004 .

[26]  L. Mattner,et al.  Cumulants are universal homomorphisms into Hausdorff groups , 2003 .

[27]  Shun-ichi Amari,et al.  Information-Geometric Measure for Neural Spikes , 2002, Neural Computation.

[28]  R. Lestienne.  Spike timing, synchronization and information processing on the sensory side of the central nervous system , 2001, Progress in Neurobiology.

[29]  T. Sejnowski,et al.  Correlated neuronal activity and the flow of neural information , 2001, Nature Reviews Neuroscience.

[30]  W. Bair,et al.  Correlated Firing in Macaque Visual Area MT: Time Scales and Relationship to Behavior , 2001, The Journal of Neuroscience.

[31]  Kathryn B. Laskey,et al.  Neural Coding: Higher-Order Temporal Patterns in the Neurostatistics of Cell Assemblies , 2000, Neural Computation.

[32]  B. Streitberg.  Exploring interactions in high-dimensional tables: a bootstrap alternative to log-linear models , 1999 .

[33]  Pieter R. Roelfsema,et al.  The Effects of Pair-wise and Higher-order Correlations on the Firing Rate of a Postsynaptic Neuron , 1998, Neural Computation.

[34]  A. Aertsen,et al.  Spike synchronization and rate modulation differentially involved in motor cortical function. , 1997, Science.

[35]  T J Sejnowski,et al.  Learning the higher-order structure of a natural sound. , 1996, Network.

[36]  Günther Palm,et al.  Detecting higher-order interactions among the spiking events in a group of neurons , 1995, Biological Cybernetics.

[37]  M. Kendall,et al.  Kendall's advanced theory of statistics , 1995 .

[38]  A. Aertsen,et al.  Dynamics of neuronal interactions in monkey cortex in relation to behavioural events , 1995, Nature.

[39]  David R. Brillinger,et al.  Uses of cumulants in wavelet analysis , 1994, Optics & Photonics.

[40]  B. Streitberg.  Lancaster Interactions Revisited , 1990 .

[41]  W. Singer,et al.  Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. , 1989, Proceedings of the National Academy of Sciences of the United States of America.

[42]  C. W. Gardiner,et al.  Handbook of stochastic methods - for physics, chemistry and the natural sciences, Second Edition , 1986, Springer series in synergetics.

[43]  P. Adams,et al.  Calcium-dependent current generating the afterhyperpolarization of hippocampal neurons. , 1986, Journal of neurophysiology.

[44]  T. Speed,et al.  Additive and Multiplicative Models and Interactions , 1983 .

[45]  R. L. Stratonovich,et al.  Topics in the theory of random noise , 1967 .

[46]  P. Holgate.  Estimation for the bivariate Poisson distribution , 1964 .

[47]  Eugene Lukacs,et al.  Selected Translations in Mathematical Statistics and Probability , 1964 .

[48]  Monica A. Walker,et al.  Studies in Item Analysis and Prediction. , 1962 .

[49]  H. O. Lancaster.  The Structure of Bivariate Distributions , 1958 .

[50]  E. Jaynes.  Information Theory and Statistical Mechanics , 1957 .

[51]  Romain Brette,et al.  Generation of Correlated Spike Trains , 2009, Neural Computation.

[52]  A. Reyes,et al.  Supplementary Information for the article ‘ Correlation between neural spike trains increases with firing rate ’ , 2007 .

[53]  Stefan Rotter,et al.  Higher-Order Statistics of Input Ensembles and the Response of Simple Model Neurons , 2003, Neural Computation.

[54]  Athanasios Papoulis,et al.  Probability, random variables, and stochastic processes , 2002 .

[55]  David R. Brillinger,et al.  Some uses if cumulants in wavelet analysis , 1996 .

[56]  A. Aertsen,et al.  Neuronal assemblies , 1989, IEEE Transactions on Biomedical Engineering.

[57]  Kazutomo Kawamura,et al.  The structure of multivariate Poisson distribution , 1979 .

[58]  Athanasios Papoulis.  Probability, Random Variables and Stochastic Processes , 1965 .

[59]  F. Attneave,et al.  The Organization of Behavior: A Neuropsychological Theory , 1949 .