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The correlated variability in the responses of a neural population to the repeated presentation of a sensory stimulus is a universally observed phenomenon. Such correlations have been studied in much detail, both with respect to their…

Neurons and Cognition · Quantitative Biology 2018-07-04 Volker Pernice , Rava Azeredo da Silveira

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 significant advances in the field of deep learning in ap-plications to various areas, an explanation of the learning pro-cess of neural network models remains an important open ques-tion. The purpose of this paper is a comprehensive…

Machine Learning · Computer Science 2023-06-07 German Magai

The ability to store and manipulate information is a hallmark of computational systems. Whereas computers are carefully engineered to represent and perform mathematical operations on structured data, neurobiological systems perform…

Disordered Systems and Neural Networks · Physics 2020-05-05 Jason Z. Kim , Zhixin Lu , Erfan Nozari , George J. Pappas , Danielle S. Bassett

As Neural Cellular Automata (NCAs) are increasingly applied outside of the toy models in Artificial Life, there is a pressing need to understand how they behave and to build appropriate routes to interpret what they have learnt. By their…

Neural and Evolutionary Computing · Computer Science 2026-04-14 James Stovold , Mia-Katrin Kvalsund , Harald Michael Ludwig , Varun Sharma , Alexander Mordvintsev

Traditional approaches to understanding the brain's resilience to neuropathology have identified neurophysiological variables, often described as brain or cognitive 'reserve,' associated with better outcomes. However, mechanisms of function…

Neurons and Cognition · Quantitative Biology 2017-01-18 John D. Medaglia , Fabio Pasqualetti , Roy H. Hamilton , Sharon L. Thompson-Schill , Danielle S. Bassett

Hippocampal neurons track positions of self, others, and gaze direction. However, it is unclear how their respective neural codes differ enough to avoid confusion while allowing for abstraction. We recorded from populations of hippocampal…

The Linear Representation Hypothesis (LRH) states that neural networks learn to encode concepts as directions in activation space, and a strong version of the LRH states that models learn only such encodings. In this paper, we present a…

Machine Learning · Computer Science 2024-08-21 Róbert Csordás , Christopher Potts , Christopher D. Manning , Atticus Geiger

Learning a task induces connectivity changes in neural circuits, thereby changing their dynamics. To elucidate task related neural dynamics we study trained Recurrent Neural Networks. We develop a Mean Field Theory for Reservoir Computing…

Neurons and Cognition · Quantitative Biology 2017-06-28 Alexander Rivkind , Omri Barak

In certain situations, neural networks will represent environment states in their hidden activations. Our goal is to visualize what environment states the networks are representing. We experiment with a recurrent neural network (RNN)…

Machine Learning · Computer Science 2024-05-13 Nevan Wichers , Victor Tao , Riccardo Volpato , Fazl Barez

Many tasks require mapping continuous input data (e.g. images) to discrete task outputs (e.g. class labels). Yet, how neural networks learn to perform such discrete computations on continuous data manifolds remains poorly understood. Here,…

Machine Learning · Computer Science 2025-12-02 Julian Brandon , Angus Chadwick , Arthur Pellegrino

Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of…

Machine Learning · Computer Science 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

The neural manifold hypothesis postulates that the activity of a neural population forms a low-dimensional manifold whose structure reflects that of the encoded task variables. In this work, we combine topological deep generative models and…

Neurons and Cognition · Quantitative Biology 2023-04-26 Francisco Acosta , Sophia Sanborn , Khanh Dao Duc , Manu Madhav , Nina Miolane

We address the problem of active mapping with a continually-learned neural scene representation, namely Active Neural Mapping. The key lies in actively finding the target space to be explored with efficient agent movement, thus minimizing…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Zike Yan , Haoxiang Yang , Hongbin Zha

In a number of disciplines, the data (e.g., graphs, manifolds) to be analyzed are non-Euclidean in nature. Geometric deep learning corresponds to techniques that generalize deep neural network models to such non-Euclidean spaces. Several…

A recurrent neural network with noisy input is studied analytically, on the basis of a Discrete Time Master Equation. The latter is derived from a biologically realizable learning rule for the weights of the connections. In a numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

Working memory is a cognitive function involving the storage and manipulation of latent information over brief intervals of time, thus making it crucial for context-dependent computation. Here, we use a top-down modeling approach to examine…

Neurons and Cognition · Quantitative Biology 2021-11-17 Elham Ghazizadeh , ShiNung Ching

It has been proposed that populations of neurons process information in terms of probability density functions (PDFs) of analog variables. Such analog variables range, for example, from target luminance and depth on the sensory interface to…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. J. Barber , J. W. Clark , C. H. Anderson

Synaptic plasticity allows cortical circuits to learn new tasks and to adapt to changing environments. How do cortical circuits use plasticity to acquire functions such as decision-making or working memory? Neurons are connected in complex…

Neurons and Cognition · Quantitative Biology 2023-03-08 Néstor Parga , Luis Serrano-Fernández , Joan Falcó-Roget

One of the defining features of living systems is their adaptability to changing environmental conditions. This requires organisms to extract temporal and spatial features of their environment, and use that information to compute the…

Neurons and Cognition · Quantitative Biology 2024-02-27 Maria Sol Vidal-Saez , Oscar Vilarroya , Jordi Garcia-Ojalvo