The principles of neural encoding and computations are inherently collective and usually
involve large populations of interacting neurons with highly correlated activities. While …

Neural responses are variable: even under identical experimental conditions, single neuron
and population responses typically differ from trial to trial and across time. Recent work has …

Shannon's entropy is a basic quantity in information theory, and a fundamental building
block for the analysis of neural codes. Estimating the entropy of a discrete distribution from …

Assigning topics to documents by successive projections Page 1 The Annals of Statistics
2023, Vol. 51, No. 5, 1989–2014 https://doi.org/10.1214/23-AOS2316 © Institute of …

Our understanding of neural population coding has been limited by a lack of analysis
methods to characterize spiking data from large populations. The biggest challenge comes …

The spiking activity of neocortical neurons exhibits a striking level of variability, even when
these networks are driven by identical stimuli. The approximately Poisson firing of neurons …

Objective. Neural responses to repeated presentations of an identical stimulus often show
substantial trial-to-trial variability. How the mean firing rate varies in response to different …

Information theory provides a powerful framework to analyse the representation of sensory
stimuli in neural population activity. However, estimating the quantities involved such as …

In this thesis, we consider the three following problems: clustering in Bipartite Stochastic
Block Model, estimation of topic-document matrix in topic model, and benign overfitting in …

In the retina, the activity of ganglion cells, which feed information through the optic nerve to
the rest of the brain, is all that our brain will ever know about the visual world. The …