Improved Estimation and Interpretation of Correlations in Neural Circuits
Explore this paper's citation graph
Summary
It is hypothesized that in these densely sampled recordings, the correlation matrix should be best modeled as the combination of a sparse graph of pairwise partial correlations representing local interactions and a low-rank component representing common fluctuations and external inputs, and in cross-validation tests, the covariance matrix estimator with this structure consistently outperformed other regularized estimators.
- Type
- article
- Published
- 2015-03-01
- Cited by
- 103
- References
- 108
- Access
- Open access
- OpenAlex
- https://openalex.org/W2011523140
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:3069046
Keywords
Estimator, Pairwise comparison, Covariance matrix, Correlation, Artificial neural network
References
- Higher Order Correlations within Cortical Layers Dominate Functional Connectivity in Microcolumns
- Functional connectivity between simple cells and complex cells in cat striate cortex
- Ising models for networks of real neurons
- Neuronal spike trains and stochastic point processes. II. Simultaneous spike trains.
- Searching for Collective Behavior in a Large Network of Sensory Neurons
- Dense inhibitory connectivity in neocortex
- Spatial and temporal scales of neuronal correlation in visual area V4
- Estimation of functional connectivity in fMRI data using stability selection-based sparse partial correlation with elastic net penalty
- Fast two-photon in vivo imaging with three-dimensional random-access scanning in large tissue volumes
- Population coding in neuronal systems with correlated noise.
- A survey of cross-validation procedures for model selection
- Spatial profile of excitatory and inhibitory synaptic connectivity in mouse primary auditory cortex
- Relationship of correlated spontaneous activity to functional ocular dominance columns in the developing visual cortex.
- The emergence of functional microcircuits in visual cortex
- Highly Nonrandom Features of Synaptic Connectivity in Local Cortical Circuits
- Laminar dependence of neuronal correlations in visual cortex.
- Spontaneously emerging cortical representations of visual attributes
- Stimulus Dependence of Neuronal Correlation in Primary Visual Cortex of the Macaque
- Simultaneous Studies of Firing Patterns in Several Neurons
- A Shrinkage Approach to Large-Scale Covariance Matrix Estimation and Implications for Functional Genomics
Cited by
- Attention stabilizes the shared gain of V4 populations
- Theory of population coupling and applications to describe high order correlations in large populations of interacting neurons
- The mechanics of state dependent neural correlations
- Spontaneous Neural Dynamics and Multi-scale Network Organization
- Rich-Club Organization in Effective Connectivity among Cortical Neurons
- Latent Variable Modeling and Statistical Learning
- The functional role of all postsynaptic potentials examined from a first-person frame of reference
- Spike synchrony generated by modulatory common input through NMDA-type synapses.
- The mechanics of state-dependent neural
- Consistent estimation of complete neuronal connectivity in large neuronal populations using sparse “shotgun” neuronal activity sampling
- Technologies for imaging neural activity in large volumes
- Low-Rank Correlations in Heterogeneous Neural Circuits
- Differential Covariance: A New Class of Methods to Estimate Sparse Connectivity from Neural Recordings
- A new class of methods for functional connectivity estimation
- Interpretation of the Precision Matrix and Its Application in Estimating Sparse Brain Connectivity during Sleep Spindles from Human Electrocorticography Recordings
- Maintenance and Representation of Mind Wandering during Resting-State fMRI
- Estimating covariance structure in high dimensions
- Characterizing and interpreting the influence of internal variables on sensory activity
- From the statistics of connectivity to the statistics of spike times in neuronal networks
- Integrated omics analyses of retrograde signaling mutant delineate interrelated stress response strata
Related papers
- The validity of pairwise models in predicting community dynamics
- Non-pairwise Collaborative Filtering
- The Inclusion of Correlation Effects in the Performance of Multiple Sensor and Classifier Systems
- Large covariance matrices: accurate models without mocks
- Dynamic master-slave distributed algorithm for cooperative localization with low computational cost
- Neuronal Correlation: a Central Concept in Neural Network