Compressed sensing, sparsity, and dimensionality in neuronal information processing and data analysis

S Ganguli, H Sompolinsky - Annual review of neuroscience, 2012 - annualreviews.org
The curse of dimensionality poses severe challenges to both technical and conceptual
progress in neuroscience. In particular, it plagues our ability to acquire, process, and model …

Statistical mechanics of complex neural systems and high dimensional data

M Advani, S Lahiri, S Ganguli - Journal of Statistical Mechanics …, 2013 - iopscience.iop.org
Recent experimental advances in neuroscience have opened new vistas into the immense
complexity of neuronal networks. This proliferation of data challenges us on two parallel …

[HTML][HTML] Single session cross-frequency bifocal tACS modulates visual motion network activity in young healthy population and stroke patients

M Bevilacqua, S Feroldi, F Windel, P Menoud… - Brain Stimulation, 2024 - Elsevier
Background Phase synchronization over long distances underlies inter-areal
communication and importantly, modulates the flow of information processing to adjust to …

AI of brain and cognitive sciences: from the perspective of first principles

L Chen, Z Chen, L Jiang, X Liu, L Xu, B Zhang… - arXiv preprint arXiv …, 2023 - arxiv.org
Nowadays, we have witnessed the great success of AI in various applications, including
image classification, game playing, protein structure analysis, language translation, and …

Understanding the computational difficulty of a binary-weight perceptron and the advantage of input sparseness

Z Bi, C Zhou - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
Limited precision of synaptic weights is a key aspect of both biological and hardware
implementation of neural networks. To assign low-precise weights during learning is a non …

Expectation propagation on the diluted Bayesian classifier

A Braunstein, T Gueudré, A Pagnani, M Pieropan - Physical Review E, 2021 - APS
Efficient feature selection from high-dimensional datasets is a very important challenge in
many data-driven fields of science and engineering. We introduce a statistical mechanics …

Sparse Hopfield network reconstruction with 1 regularization

H Huang - The European Physical Journal B, 2013 - Springer
We propose an efficient strategy to infer sparse Hopfield network based on magnetizations
and pairwise correlations measured through Glauber samplings. This strategy incorporates …

Single Session Cross-Frequency Bifocal Tacs Modulates Visual Motion Network Activity in Young Healthy and Stroke Patients

M Bevilacqua, S Feroldi, F Windel, P Menoud… - Available at SSRN … - papers.ssrn.com
Background: Phase synchronization over long distances underlies inter-areal
communication and importantly, modulates the flow of information processing to adjust to …

Stability of the replica symmetric solution in diluted perceptron learning

A Lage-Castellanos, A Pagnani… - Journal of Statistical …, 2013 - iopscience.iop.org
We study the role played by dilution in the average behavior of a perceptron model with
continuous coupling with the replica method. We analyze the stability of the replica …

Effective Bayesian inference for sparse factor analysis models

KJ Sharp - 2011 - search.proquest.com
We study how to perform effective Bayesian inference in high-dimensional sparse Factor
Analysis models with a zero-norm, sparsity-inducing prior on the model parameters. Such …