Information-theoretic methods for studying population codes

RAA Ince, R Senatore, E Arabzadeh, F Montani… - Neural Networks, 2010 - Elsevier
Population coding is the quantitative study of which algorithms or representations are used
by the brain to combine together and evaluate the messages carried by different neurons …

Long-term recordings improve the detection of weak excitatory–excitatory connections in rat prefrontal cortex

CD Schwindel, K Ali, BL McNaughton… - Journal of …, 2014 - Soc Neuroscience
Characterization of synaptic connectivity is essential to understanding neural circuit
dynamics. For extracellularly recorded spike trains, indirect evidence for connectivity can be …

Correlation-driven framework based on graph convolutional network for clinical disease classification

K Cao, Y Xiao, M Hou - Journal of Statistical Computation and …, 2021 - Taylor & Francis
With the increasing popularity of computer-aided technology applied in medicine, great
achievements have been made in certain diseases. However, due to the similarity of clinical …

Information Geometry and Its Applications: An Overview

F Critchley, P Marriott - … Information Geometry: For Image and Signal …, 2016 - Springer
We give a personal view of what Information Geometry is, and what it is becoming, by
exploring a number of key topics: dual affine families, boundaries, divergences, tensorial …

Memory Consolidation: Neural Data Analysis and Mathematical Modeling

M Tatsuno, M Eckert - Handbook of Cognitive Mathematics, 2022 - Springer
Memory is crucial for our cognitive abilities such as perception and decision making.
Understanding how the brain learns and remembers is, therefore, one of the most important …

Information-geometric measures estimate neural interactions during oscillatory brain states

Y Nie, JM Fellous, M Tatsuno - Frontiers in Neural Circuits, 2014 - frontiersin.org
The characterization of functional network structures among multiple neurons is essential to
understanding neural information processing. Information geometry (IG), a theory developed …

Information-geometric measures for estimation of connection weight under correlated inputs

Y Nie, M Tatsuno - Neural computation, 2012 - ieeexplore.ieee.org
The brain processes information in a highly parallel manner. Determination of the
relationship between neural spikes and synaptic connections plays a key role in the analysis …

Conditional mixture model for correlated neuronal spikes

S Amari - Neural computation, 2010 - ieeexplore.ieee.org
Analysis of correlated spike trains is a hot topic of research in computational neuroscience.
A general model of probability distributions for spikes includes too many parameters to be of …

Estimation of neural connections from partially observed neural spikes

T Iwasaki, H Hino, M Tatsuno, S Akaho, N Murata - Neural Networks, 2018 - Elsevier
Plasticity is one of the most important properties of the nervous system, which enables
animals to adjust their behavior to the ever-changing external environment. Changes in …

Intrinsic graph structure estimation using graph laplacian

A Noda, H Hino, M Tatsuno, S Akaho, N Murata - Neural computation, 2014 - direct.mit.edu
A graph is a mathematical representation of a set of variables where some pairs of the
variables are connected by edges. Common examples of graphs are railroads, the Internet …