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One of the greatest research challenges of this century is to understand the neural basis for how behavior emerges in brain-body-environment systems. To this end, research has flourished along several directions but have predominantly…

Neurons and Cognition · Quantitative Biology 2021-06-10 Madhavun Candadai

Precise timing of spikes and temporal locking are key elements of neural computation. Here we demonstrate how even strongly heterogeneous, deterministic neural networks with delayed interactions and complex topology can exhibit periodic…

Neurons and Cognition · Quantitative Biology 2009-11-13 Raoul-Martin Memmesheimer , Marc Timme

Circuits of biological neurons, such as in the functional parts of the brain can be modeled as networks of coupled oscillators. Inspired by the ability of these systems to express a rich set of outputs while keeping (gradients of) state…

Machine Learning · Computer Science 2021-03-16 T. Konstantin Rusch , Siddhartha Mishra

This article highlights specific features of biological neurons and their dendritic trees, whose adoption may help advance artificial neural networks used in various machine learning applications. Advancements could take the form of…

Neurons and Cognition · Quantitative Biology 2021-06-15 Spyridon Chavlis , Panayiota Poirazi

Determining how synaptic coupling within and between regions is modulated during sensory processing is an important topic in neuroscience. Electrophysiological recordings provide detailed information about neural spiking but have…

Neurons and Cognition · Quantitative Biology 2018-02-07 Andrea K. Barreiro , Shree Hari Gautam , Woodrow L. Shew , Cheng Ly

Much of the information the brain processes and stores is temporal in nature - a spoken word or a handwritten signature, for example, is defined by how it unfolds in time. However, it remains unclear how neural circuits encode complex…

Neurons and Cognition · Quantitative Biology 2017-08-15 Vishwa Goudar , Dean Buonomano

Deep learning has recently led to great successes in tasks such as image recognition (e.g Krizhevsky et al., 2012). However, deep networks are still outmatched by the power and versatility of the brain, perhaps in part due to the richer…

Machine Learning · Statistics 2014-03-25 David P. Reichert , Thomas Serre

This work introduces Neural Chronos Ordinary Differential Equations (Neural CODE), a deep neural network architecture that fits a continuous-time ODE dynamics for predicting the chronology of a system both forward and backward in time. To…

Machine Learning · Computer Science 2025-03-27 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

This note is a brief survey of some results of the recent collaboration of neurobiologists and mathematicians dedicated to stimulus reconstruction from neuronal spiking activity. This collaboration, in particular, led to the consideration…

History and Overview · Mathematics 2015-01-06 Yuri I. Manin

Neuronal systems need to process temporal signals. We here show how higher-order temporal (co-)fluctuations can be employed to represent and process information. Concretely, we demonstrate that a simple biologically inspired feedforward…

Neurons and Cognition · Quantitative Biology 2023-09-13 Sandra Nestler , Moritz Helias , Matthieu Gilson

Molecular processes of neuronal learning have been well-described. However, learning mechanisms of non-neuronal cells have not been fully understood at the molecular level. Here, we discuss molecular mechanisms of cellular learning,…

Molecular Networks · Quantitative Biology 2020-03-18 Péter Csermely , Nina Kunsic , Péter Mendik , Márk Kerestély , Teodóra Faragó , Dániel V. Veres , Péter Tompa

At the intersection of computation and cognitive science, graph theory is utilized as a formalized description of complex relationships and structures. Traditional graph models are often static, lacking dynamic and autonomous behavioral…

Neurons and Cognition · Quantitative Biology 2024-06-11 Hui Wei , Chenyue Feng , Jianning Zhang

Biological systems represent time from microseconds to years. An important gap in our knowledge concerns the mechanisms for encoding time intervals of hundreds of milliseconds to minutes that matter for tasks like navigation, communication,…

Neurons and Cognition · Quantitative Biology 2025-05-22 Raphaël Lafond-Mercier , Leonard Maler , Avner Wallach , André Longtin

Biological nervous systems constitute important sources of inspiration towards computers that are faster, cheaper, and more energy efficient. Neuromorphic disciplines view the brain as a coevolved system, simultaneously optimizing the…

Neural and Evolutionary Computing · Computer Science 2025-09-18 Jens Egholm Pedersen , Jörg Conradt , Tony Lindeberg

Computer vision models suffer from a phenomenon known as catastrophic forgetting when learning novel concepts from continuously shifting training data. Typical solutions for this continual learning problem require extensive rehearsal of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 James Seale Smith , Leonid Karlinsky , Vyshnavi Gutta , Paola Cascante-Bonilla , Donghyun Kim , Assaf Arbelle , Rameswar Panda , Rogerio Feris , Zsolt Kira

Biological neural networks exist in physical space where distance influences communication delays: a fundamental coupling between space and time absent in most artificial neural networks. While recent work has separately explored spatial…

Neural and Evolutionary Computing · Computer Science 2026-01-27 Balázs Mészáros , James C. Knight , Danyal Akarca , Thomas Nowotny

Polar coding is a method for communication over noisy classical channels which is provably capacity-achieving and has an efficient encoding and decoding. Recently, this method has been generalized to the realm of quantum information…

Quantum Physics · Physics 2016-02-01 Christoph Hirche , Ciara Morgan , Mark M. Wilde

While spike timing has been shown to carry detailed stimulus information at the sensory periphery, its possible role in network computation is less clear. Most models of computation by neural networks are based on population firing rates.…

Neurons and Cognition · Quantitative Biology 2015-07-17 Michael A. Schwemmer , Adrienne L. Fairhall , Sophie Denéve , Eric T. Shea-Brown

Neural decoding is still a challenge and hot topic in neurocomputing science. Recently, many studies have shown that brain network patterns containing rich spatial and temporal structure information, which represents the activation…

Neurons and Cognition · Quantitative Biology 2022-11-24 Chunyu Liu , Jiacai Zhang

We propose a method, based on persistent homology, to uncover topological properties of a priori unknown covariates of neuron activity. Our input data consist of spike train measurements of a set of neurons of interest, a candidate list of…

Neurons and Cognition · Quantitative Biology 2015-10-23 Gard Spreemann , Benjamin Dunn , Magnus Bakke Botnan , Nils A. Baas