The upward bias in measures of information derived from limited data samples
Neural Computation
On decoding the responses of a population of neurons from short time windows
Neural Computation
Information-geometric measure for neural spikes
Neural Computation
A Unified Approach to the Study of Temporal, Correlational, and Rate Coding
Neural Computation
Neural Computation
Rate Limitations of Unitary Event Analysis
Neural Computation
Information geometry of neural networks
PRICAI'00 Proceedings of the 6th Pacific Rim international conference on Artificial intelligence
Information geometry on hierarchy of probability distributions
IEEE Transactions on Information Theory
Synchronous firing and higher-order interactions in neuron pool
Neural Computation
Information-geometric measure for neural spikes
Neural Computation
Generation of Synthetic Spike Trains with Defined Pairwise Correlations
Neural Computation
Impact of Higher-Order Correlations on Coincidence Distributions of Massively Parallel Data
Dynamic Brain - from Neural Spikes to Behaviors
Characterizing Pure High-Order Entanglements in Lexical Semantic Spaces via Information Geometry
QI '09 Proceedings of the 3rd International Symposium on Quantum Interaction
Information Geometry and Its Applications: Convex Function and Dually Flat Manifold
Emerging Trends in Visual Computing
Measure of correlation orthogonal to change in firing rate
Neural Computation
Stochastic interaction in associative nets
Neurocomputing
Conditional mixture model for correlated neuronal spikes
Neural Computation
ICONIP'08 Proceedings of the 15th international conference on Advances in neuro-information processing - Volume Part I
Multivariate autoregressive modeling and granger causality analysis of multiple spike trains
Computational Intelligence and Neuroscience - Special issue on signal processing for neural spike trains
CuBIC: cumulant based inference of higher-order correlations in massively parallel spike trains
Journal of Computational Neuroscience
Journal of Computational Neuroscience
Pure high-order word dependence mining via information geometry
ICTIR'11 Proceedings of the Third international conference on Advances in information retrieval theory
Population coding, bayesian inference and information geometry
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Dreaming of mathematical neuroscience for half a century
Neural Networks
Mining pure high-order word associations via information geometry for information retrieval
ACM Transactions on Information Systems (TOIS)
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This study introduces information-geometric measures to analyze neural firing patterns by taking not only the second-order but also higher-order interactions among neurons into account. Information geometry provides useful tools and concepts for this purpose, including the orthogonality of coordinate parameters and the Pythagoras relation in the Kullback-Leibler divergence. Based on this orthogonality, we show a novel method for analyzing spike firing 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 benefits of our proposal by using several examples.