Computational neuroscience: Mathematical and statistical perspectives

RE Kass, SI Amari, K Arai, EN Brown… - Annual review of …, 2018 - annualreviews.org
Mathematical and statistical models have played important roles in neuroscience, especially
by describing the electrical activity of neurons recorded individually, or collectively across …

[HTML][HTML] Discovering precise temporal patterns in large-scale neural recordings through robust and interpretable time warping

AH Williams, B Poole, N Maheswaranathan… - Neuron, 2020 - cell.com
Though the temporal precision of neural computation has been studied intensively, a data-
driven determination of this precision remains a fundamental challenge. Reproducible spike …

On the role of theory and modeling in neuroscience

D Levenstein, VA Alvarez… - Journal of …, 2023 - Soc Neuroscience
In recent years, the field of neuroscience has gone through rapid experimental advances
and a significant increase in the use of quantitative and computational methods. This growth …

Nature and consequences of biological reductionism for the immunological study of infectious diseases

AL Rivas, G Leitner, MD Jankowski… - Frontiers in …, 2017 - frontiersin.org
Evolution has conserved “economic” systems that perform many functions, faster or better,
with less. For example, three to five leukocyte types protect from thousands of pathogens. To …

Moving beyond generalization to accurate interpretation of flexible models

M Genkin, TA Engel - Nature machine intelligence, 2020 - nature.com
Abstract Machine learning optimizes flexible models to predict data. In scientific applications,
there is a rising interest in interpreting these flexible models to derive hypotheses from data …

Inferring cortical variability from local field potentials

Y Cui, LD Liu, JM McFarland, CC Pack… - Journal of …, 2016 - Soc Neuroscience
The responses of sensory neurons can be quite different to repeated presentations of the
same stimulus. Here, we demonstrate a direct link between the trial-to-trial variability of …

Learning non-stationary Langevin dynamics from stochastic observations of latent trajectories

M Genkin, O Hughes, TA Engel - Nature communications, 2021 - nature.com
Many complex systems operating far from the equilibrium exhibit stochastic dynamics that
can be described by a Langevin equation. Inferring Langevin equations from data can …

ASSET: analysis of sequences of synchronous events in massively parallel spike trains

E Torre, C Canova, M Denker, G Gerstein… - PLoS computational …, 2016 - journals.plos.org
With the ability to observe the activity from large numbers of neurons simultaneously using
modern recording technologies, the chance to identify sub-networks involved in coordinated …

Circumstantial evidence and explanatory models for synapses in large-scale spike recordings

IH Stevenson - arXiv preprint arXiv:2304.09699, 2023 - arxiv.org
Whether, when, and how causal interactions between neurons can be meaningfully studied
from observations of neural activity alone are vital questions in neural data analysis. Here …

Parameter estimation and identifiability in a neural population model for electro-cortical activity

A Hartoyo, PJ Cadusch, DTJ Liley… - PLoS computational …, 2019 - journals.plos.org
Electroencephalography (EEG) provides a non-invasive measure of brain electrical activity.
Neural population models, where large numbers of interacting neurons are considered …