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Studying neural connectivity is considered one of the most promising and challenging areas of modern neuroscience. The underpinnings of cognition are hidden in the way neurons interact with each other. However, our experimental methods of…

Machine Learning · Statistics 2018-06-22 George Panagopoulos

The local circuitry of the mammalian brain is a focus of the search for generic computational principles because it is largely conserved across species and modalities. In 2014 a model was proposed representing all neurons and synapses of…

Large scale neural recordings have established that the transformation of sensory stimuli into motor outputs relies on low-dimensional dynamics at the population level, while individual neurons exhibit complex selectivity. Understanding how…

Neurons and Cognition · Quantitative Biology 2018-08-29 Francesca Mastrogiuseppe , Srdjan Ostojic

A spiking neuron ``computes'' by transforming a complex dynamical input into a train of action potentials, or spikes. The computation performed by the neuron can be formulated as dimensional reduction, or feature detection, followed by a…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne L. Fairhall , William Bialek

The human brain represents the only known example of general intelligence that naturally aligns with human values. On a mere 20-watt power budget, the brain achieves robust learning and adaptive decision-making in ways that continue to…

Neurons and Cognition · Quantitative Biology 2025-08-12 PK Douglas

Neural field models are nonlinear integro-differential equations for the evolution of neuronal activity, and they are a prototypical large-scale, coarse-grained neuronal model in continuum cortices. Neural fields are often simulated…

Numerical Analysis · Mathematics 2022-11-01 Daniele Avitabile

Analysing how neural networks represent data features in their activations can help interpret how they perform tasks. Hence, a long line of work has focused on mathematically characterising the geometry of such "neural representations." In…

Machine Learning · Computer Science 2026-02-10 Arthur Pellegrino , Angus Chadwick

Identifying the spatio-temporal network structure of brain activity from multi-neuronal data streams is one of the biggest challenges in neuroscience. Repeating patterns of precisely timed activity across a group of neurons is potentially…

Neurons and Cognition · Quantitative Biology 2009-03-03 Casey Diekman , Kohinoor Dasgupta , Vijay Nair , P. S. Sastry , K. P. Unnikrishnan

There are two major questions that neuroimaging studies attempt to answer: First, how are sensory stimuli represented in the brain (which we term the stimulus-based setting)? And, second, how does the brain generate cognition (termed the…

Neurons and Cognition · Quantitative Biology 2017-05-01 Sebastian Weichwald , Moritz Grosse-Wentrup

The concept of feature selectivity in sensory signal processing can be formalized as dimensionality reduction: in a stimulus space of very high dimensions, neurons respond only to variations within some smaller, relevant subspace. But if…

Neurons and Cognition · Quantitative Biology 2016-03-15 Kanaka Rajan , William Bialek

Different brain areas, such as the cortex and, more specifically, the prefrontal cortex, show great recurrence in their connections, even in early sensory areas. {Several approaches and methods based on trained networks have been proposed…

Neurons and Cognition · Quantitative Biology 2022-04-25 Cecilia Jarne

A central issue in neural recording is that of distinguishing the activities of many neurons. Here, we develop a framework, based on Fisher information, to quantify how separable a neuron's activity is from the activities of nearby neurons.…

Statistical neurodynamics studies macroscopic behaviors of randomly connected neural networks. We consider a deep layered feedforward network where input signals are processed layer by layer. The manifold of input signals is embedded in a…

Disordered Systems and Neural Networks · Physics 2018-08-23 Shun-ichi Amari , Ryo Karakida , Masafumi Oizumi

Human perception and behavior are affected by the situational context, in particular during social interactions. A recent study demonstrated that humans perceive visual stimuli differently depending on whether they do the task by themselves…

Neurons and Cognition · Quantitative Biology 2022-10-12 Maria Tsfasman , Anja Philippsen , Carlo Mazzola , Serge Thill , Alessandra Sciutti , Yukie Nagai

Using deep neural networks as computational models to simulate cognitive process can provide key insights into human behavioral dynamics. Challenges arise when environments are highly dynamic, obscuring stimulus-behavior relationships.…

Artificial Intelligence · Computer Science 2025-05-28 Songlin Xu , Xinyu Zhang

Distributed networks of brain areas interact with one another in a time-varying fashion to enable complex cognitive and sensorimotor functions. Here we use novel network analysis algorithms to test the recruitment and integration of…

Neurons and Cognition · Quantitative Biology 2014-03-25 Danielle S. Bassett , Muzhi Yang , Nicholas F. Wymbs , Scott T. Grafton

One major challenge of neuroscience is finding interesting structures in a seemingly disorganized neural activity. Often these structures have computational implications that help to understand the functional role of a particular brain…

Neurons and Cognition · Quantitative Biology 2023-09-01 Srdjan Ostojic , Stefano Fusi

Recent advances in machine learning have created increasing interest in solving visual computing problems using a class of coordinate-based neural networks that parametrize physical properties of scenes or objects across space and time.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Yiheng Xie , Towaki Takikawa , Shunsuke Saito , Or Litany , Shiqin Yan , Numair Khan , Federico Tombari , James Tompkin , Vincent Sitzmann , Srinath Sridhar

Many neural systems display cascading behavior characterized by uninterrupted sequences of neuronal firing. This gap precludes an understanding of how variations in network structure manifest in neural dynamics and either support or impinge…

Neurons and Cognition · Quantitative Biology 2019-11-12 Harang Ju , Jason Z. Kim , Danielle S. Bassett

As deep neural networks are increasingly used in solving high-stake problems, there is a pressing need to understand their internal decision mechanisms. Visualization has helped address this problem by assisting with interpreting complex…

Machine Learning · Computer Science 2019-06-04 Haekyu Park , Fred Hohman , Duen Horng Chau