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We provide a general framework for studying recurrent neural networks (RNNs) trained by injecting noise into hidden states. Specifically, we consider RNNs that can be viewed as discretizations of stochastic differential equations driven by…

Machine Learning · Statistics 2021-12-02 Soon Hoe Lim , N. Benjamin Erichson , Liam Hodgkinson , Michael W. Mahoney

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

A person tends to generate dynamic attention towards speech under complicated environments. Based on this phenomenon, we propose a framework combining dynamic attention and recursive learning together for monaural speech enhancement. Apart…

Sound · Computer Science 2020-04-02 Andong Li , Chengshi Zheng , Cunhang Fan , Renhua Peng , Xiaodong Li

Recurrent neural networks (RNNs) have drawn interest from machine learning researchers because of their effectiveness at preserving past inputs for time-varying data processing tasks. To understand the success and limitations of RNNs, it is…

Information Theory · Computer Science 2017-01-30 Adam Charles , Dong Yin , Christopher Rozell

The task of the brain is to look for structure in the external input. We study a network of integrate-and-fire neurons with several types of recurrent connections that learns the structure of its time-varying feedforward input by attempting…

Neurons and Cognition · Quantitative Biology 2020-10-13 Lyudmila Kushnir , Sophie Denève

Traditional artificial neural networks consist of nodes with non-oscillatory dynamics. Biological neural networks, on the other hand, consist of oscillatory components embedded in an oscillatory environment. Motivated by this feature of…

Neurons and Cognition · Quantitative Biology 2026-03-17 Mark A. Kramer

With memory encoding reliant on persistent changes in the properties of synapses, a key question is how can memories be maintained from days to months or a lifetime given molecular turnover? It is likely that positive feedback loops are…

Neurons and Cognition · Quantitative Biology 2019-04-18 Paul Smolen , Douglas A. Baxter , John H. Byrne

A key attribute that drives the unprecedented success of modern Recurrent Neural Networks (RNNs) on learning tasks which involve sequential data, is their ability to model intricate long-term temporal dependencies. However, a well…

Machine Learning · Computer Science 2018-06-07 Yoav Levine , Or Sharir , Alon Ziv , Amnon Shashua

We study the learning of an external signal by a neural network and the time to forget it when this network is submitted to noise. The presentation of an external stimulus to the recurrent network of binary neurons may change the state of…

Probability · Mathematics 2020-06-11 Pascal Helson

Partially observed control problems are a challenging aspect of reinforcement learning. We extend two related, model-free algorithms for continuous control -- deterministic policy gradient and stochastic value gradient -- to solve partially…

Machine Learning · Computer Science 2015-12-15 Nicolas Heess , Jonathan J Hunt , Timothy P Lillicrap , David Silver

Anatomical studies demonstrate that brain reformats input information to generate reliable responses for performing computations. However, it remains unclear how neural circuits encode complex spatio-temporal patterns. We show that neural…

Neurons and Cognition · Quantitative Biology 2018-02-20 Priyadarshini Panda , Kaushik Roy

To maximize future rewards in this ever-changing world, animals must be able to discover the temporal structure of stimuli and then anticipate or act correctly at the right time. How the animals perceive, maintain, and use time intervals…

Neurons and Cognition · Quantitative Biology 2020-07-08 Zedong Bi , Changsong Zhou

Short-term plasticity (STP) is a mechanism that stores decaying memories in synapses of the cerebral cortex. In computing practice, STP has been used, but mostly in the niche of spiking neurons, even though theory predicts that it is the…

Neural and Evolutionary Computing · Computer Science 2023-08-03 Hector Garcia Rodriguez , Qinghai Guo , Timoleon Moraitis

The brain is a noisy system subject to energy constraints. These facts are rarely taken into account when modelling artificial neural networks. In this paper, we are interested in demonstrating that those factors can actually lead to the…

Neural and Evolutionary Computing · Computer Science 2017-09-26 Eliott Coyac , Vincent Gripon , Charlotte Langlais , Claude Berrou

A model of the columnar functional organization of neocortical association areas is studied. The neuronal network is composed of many Hebbian autoassociators, or modules, each of which interacts with a relatively small number of the others.…

Disordered Systems and Neural Networks · Physics 2020-05-14 Carlo Fulvi Mari

Neural population activity in sensory cortex is organized on low-dimensional manifolds, but why such manifolds arise and what determines their geometry remain unclear. We model cortical populations as recurrent circuits driven by…

Neurons and Cognition · Quantitative Biology 2026-04-14 Vikas N. O'Reilly-Shah , Alessandro Maria Selvitella

The extraordinary computational power of the brain may be related in part to the fact that each of the smaller neural networks that compose it can behave transiently in many different ways, depending on its inputs. Mathematically, input…

Neurons and Cognition · Quantitative Biology 2008-03-29 Léonard Gérard , Jean-Jacques Slotine

The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the brain's learning and memory systems. Activity-dependent plasticity reshapes neural circuit architecture, determining spontaneous and…

Neurons and Cognition · Quantitative Biology 2023-06-30 Heather L Cihak , Zachary P Kilpatrick

Brains and artificial neural networks compute with continuous variables such as object position or stimulus orientation. However, the complex variability in neural responses makes it difficult to link internal representational structure to…

Neurons and Cognition · Quantitative Biology 2026-03-12 Will Slatton , Chi-Ning Chou , SueYeon Chung

Handling static images that lack inherent temporal dynamics remains a fundamental challenge for spiking neural networks (SNNs). In directly trained SNNs, static inputs are typically repeated across time steps, causing the temporal dimension…

Neural and Evolutionary Computing · Computer Science 2025-12-02 Huaxu He