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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

Efficient continual learning in humans is enabled by a rich set of neurophysiological mechanisms and interactions between multiple memory systems. The brain efficiently encodes information in non-overlapping sparse codes, which facilitates…

Neural and Evolutionary Computing · Computer Science 2023-01-13 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

Various animals, including humans, have been suggested to perform Bayesian inferences to handle noisy, time-varying external information. In performing Bayesian inference, the prior distribution must be shaped by sampling noisy external…

Neurons and Cognition · Quantitative Biology 2022-10-25 Kohei Ichikawa , Kunihiko Kaneko

Much of neuroscience aims at reverse engineering the brain, but we only record a small number of neurons at a time. We do not currently know if reverse engineering the brain requires us to simultaneously record most neurons or if multiple…

Neurons and Cognition · Quantitative Biology 2019-07-04 Elahe Arani , Sofia Triantafillou , Konrad P. Kording

Self-sustained, elevated neuronal activity persisting on time scales of ten seconds or longer is thought to be vital for aspects of working memory, including brain representations of real space. Continuous-attractor neural networks, one of…

Neurons and Cognition · Quantitative Biology 2020-08-19 Joseph L. Natale , H. George E. Hentschel , Ilya Nemenman

The optimal design of neural networks is a critical problem in many applications. Here, we investigate how dynamical systems with polynomial nonlinearities can inform the design of neural systems that seek to emulate them. We propose a…

Machine Learning · Computer Science 2021-06-23 Margaret Trautner , Ziwei Li , Sai Ravela

The paper explores the capability of continuous-time recurrent neural networks to store and recall precisely timed scores of spike trains. We show (by numerical experiments) that this is indeed possible: within some range of parameters, any…

Neural and Evolutionary Computing · Computer Science 2025-07-29 Hugo Aguettaz , Hans-Andrea Loeliger

We present an inequality that bounds the short-term memory capability of dynamical systems from below. It can be interpreted as an uncertainty relation between a measure of short-term memory and that of the size of state fluctuations…

Adaptation and Self-Organizing Systems · Physics 2026-05-26 Taichi Haruna , Kohei Nakajima

Behavior can be described as a temporal sequence of actions driven by neural activity. To learn complex sequential patterns in neural networks, memories of past activities need to persist on significantly longer timescales than the…

Neurons and Cognition · Quantitative Biology 2024-09-30 Laura Kriener , Kristin Völk , Ben von Hünerbein , Federico Benitez , Walter Senn , Mihai A. Petrovici

We investigate a phase transition from linear to nonlinear information processing in echo state networks, a widely used framework in reservoir computing. The network consists of randomly connected recurrent nodes perturbed by a noise and…

Disordered Systems and Neural Networks · Physics 2025-11-25 Masaya Matsumura , Taiki Haga

Continual learning, the ability of a model to adapt to an ongoing sequence of tasks without forgetting earlier ones, is a central goal of artificial intelligence. To better understand its underlying mechanisms, we study the limitations of…

Machine Learning · Statistics 2026-04-21 Hossein Taheri , Avishek Ghosh , Arya Mazumdar

Neural networks suffer from catastrophic forgetting and are unable to sequentially learn new tasks without guaranteed stationarity in data distribution. Continual learning could be achieved via replay -- by concurrently training externally…

A resistive memory network that has no crossover wiring is proposed to overcome the hardware limitations to size and functional complexity that is associated with conventional analogue neural networks. The proposed memory network is based…

Artificial Intelligence · Computer Science 2012-01-31 Alex Pappachen James , Sima Dimitrijev

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Recurrent networks of dynamic elements frequently exhibit emergent collective oscillations, which can display substantial regularity even when the individual elements are considerably noisy. How noise-induced dynamics at the local level…

Adaptation and Self-Organizing Systems · Physics 2017-01-04 Belen Sancristobal , Beatriz Rebollo , Pol Boada , Maria V. Sanchez-Vives , Jordi Garcia-Ojalvo

Training recurrent neural networks (RNNs) is a hard problem due to degeneracies in the optimization landscape, a problem also known as vanishing/exploding gradients. Short of designing new RNN architectures, previous methods for dealing…

Neural and Evolutionary Computing · Computer Science 2020-02-11 A. Emin Orhan , Xaq Pitkow

We report short-term memory formation in a nonlinear dynamical system with many degrees of freedom. The system ``remembers'' a sequence of impulses for a transient period, but it coarsens and eventually ``forgets'' nearly all of them. The…

While linear attention architectures offer efficient inference, compressing unbounded history into a fixed-size memory inherently limits expressivity and causes information loss. To address this limitation, we introduce Random Access Memory…

Machine Learning · Computer Science 2026-02-13 Kaicheng Xiao , Haotian Li , Liran Dong , Guoliang Xing

We propose a nonlinear acoustic echo cancellation system, which aims to model the echo path from the far-end signal to the near-end microphone in two parts. Inspired by the physical behavior of modern hands-free devices, we first introduce…

Sound · Computer Science 2021-06-28 Amir Ivry , Israel Cohen , Baruch Berdugo

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei