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Understanding how receptive fields emerge and organize within brain networks and how neural dynamics couple with stimuli space is fundamental to neuroscience. Models often rely on fine-tuning connectivity to match empirical data, which may…

Neurons and Cognition · Quantitative Biology 2026-01-07 Vasilii Tiselko , Alexander Gorsky , Yuri Dabaghian

Cognitive neuroscience is enjoying rapid increase in extensive public brain-imaging datasets. It opens the door to large-scale statistical models. Finding a unified perspective for all available data calls for scalable and automated…

Machine Learning · Statistics 2019-05-16 Arthur Mensch , Julien Mairal , Danilo Bzdok , Bertrand Thirion , Gaël Varoquaux

Despite the rapid advances in Brain-computer Interfacing (BCI) and continuous effort to improve the accuracy of brain decoding systems, the urge for the systems to reconstruct the experiences of the users has been widely acknowledged. This…

Signal Processing · Electrical Eng. & Systems 2017-11-20 Pouya Ghaemmaghami

In real-world data, information is stored in extremely large feature vectors. These variables are typically correlated due to complex interactions involving many features simultaneously. Such correlations qualitatively correspond to…

Machine Learning · Computer Science 2025-05-22 Santiago Acevedo , Alex Rodriguez , Alessandro Laio

A ubiquitous feature of data of our era is their extra-large sizes and dimensions. Analyzing such high-dimensional data poses significant challenges, since the feature dimension is often much larger than the sample size. This thesis…

Statistics Theory · Mathematics 2025-09-11 Kai Yang

Reliable determination of sensory thresholds is the holy grail of signal detection theory. However, there exists no gold standard for the estimation of thresholds based on neurophysiological parameters, although a reliable estimation method…

Quantitative Methods · Quantitative Biology 2019-10-01 Achim Schilling , Richard Gerum , Patrick Krauss , Claus Metzner , Konstantin Tziridis , Holger Schulze

We introduce a new method to jointly reduce the dimension of the input and output space of a function between high-dimensional spaces. Choosing a reduced input subspace influences which output subspace is relevant and vice versa.…

Machine Learning · Statistics 2025-04-01 Qiao Chen , Elise Arnaud , Ricardo Baptista , Olivier Zahm

Optimal dimensionality reduction methods are proposed for the Bayesian inference of a Gaussian linear model with additive noise in presence of overabundant data. Three different optimal projections of the observations are proposed based on…

Statistics Theory · Mathematics 2018-02-13 Loïc Giraldi , Olivier P. Le Maître , Ibrahim Hoteit , Omar M. Knio

At functional scales, cortical behavior results from the complex interplay of a large number of excitable cells operating in noisy environments. Such systems resist to mathematical analysis, and computational neurosciences have largely…

Neurons and Cognition · Quantitative Biology 2014-03-05 Mathieu Galtier , Jonathan Touboul

Animals rely on different decision strategies when faced with ambiguous or uncertain cues. Depending on the context, decisions may be biased towards events that were most frequently experienced in the past, or be more explorative. A…

Neurons and Cognition · Quantitative Biology 2023-05-10 Younes Bouhadjar , Dirk J. Wouters , Markus Diesmann , Tom Tetzlaff

This paper considers the problem of recovering a structured signal from a relatively small number of noisy measurements with the aid of a similar signal which is known beforehand. We propose a new approach to integrate prior information…

Information Theory · Computer Science 2018-08-06 Xu Zhang , Wei Cui , Yulong Liu

Biological systems display impressive capabilities in effectively responding to environmental signals in real time. There is increasing evidence that organisms may indeed be employing near optimal Bayesian calculations in their…

Neurons and Cognition · Quantitative Biology 2010-02-12 Steve Yaeli , Ron Meir

One step in the conventional analysis of extracellularly recorded neuronal data is spike sorting, which separates electrical signal into action potentials from different neurons. Because spike sorting involves human judgment, it can be…

Neurons and Cognition · Quantitative Biology 2007-05-23 Artur Luczak , Nandakumar S. Narayanan

Simultaneous estimates of the activity in the left and right auditory cortex of five normal human subjects were extracted from Multichannel Magnetoencephalography recordings. Left, right and binaural stimulation were used, in separate runs,…

Biological Physics · Physics 2009-10-31 J. Kwapien , S. Drozdz , L. C. Liu , A. A. Ioannides

It has been generally recognized that stochasticity can play an important role in the information processing accomplished by reaction networks in biological cells. Most treatments of that stochasticity employ Gaussian noise even though it…

Molecular Networks · Quantitative Biology 2015-05-30 Neda Bostani , David A. Kessler , Nadav M. Shnerb , Wouter-Jan Rappel , Herbert Levine

To study information processing in the brain, neuroscientists manipulate experimental stimuli while recording participant brain activity. They can then use encoding models to find out which brain "zone" (e.g. which region of interest,…

Neurons and Cognition · Quantitative Biology 2022-02-22 Mariya Toneva , Jennifer Williams , Anand Bollu , Christoph Dann , Leila Wehbe

Codifying memories is one of the fundamental problems of modern Neuroscience. The functional mechanisms behind this phenomenon remain largely unknown. Experimental evidence suggests that some of the memory functions are performed by…

Neurons and Cognition · Quantitative Biology 2022-05-17 Ivan Y. Tyukin , Alexander N. Gorban , Carlos Calvo , Julia Makarova , Valeri A. Makarov

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

Machine Learning · Computer Science 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

Sensory neuroscience seeks to understand how the brain encodes natural environments. However, neural coding has largely been studied using simplified stimuli. In order to assess whether the brain's coding strategy depend on the stimulus…

Neurons and Cognition · Quantitative Biology 2007-05-23 Tatyana O. Sharpee , Hiroki Sugihara , Andrei V. Kurgansky , Sergei P. Rebrik , Michael P. Stryker , Kenneth D. Miller

The sensory-triggered activity of a neuron is typically characterized in terms of a tuning curve, which describes the neuron's average response as a function of a parameter that characterizes a physical stimulus. What determines the shapes…

Neurons and Cognition · Quantitative Biology 2007-05-23 Emilio Salinas