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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…

机器学习 · 计算机科学 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

Persistent activity in neuronal populations has been shown to represent the spatial position of remembered stimuli. Networks that support bump attractors are often used to model such persistent activity. Such models usually exhibit…

神经元与认知 · 定量生物学 2013-08-26 Sam Carroll , Kresimir Josic , Zachary P Kilpatrick

We investigated the dynamical behaviors of bimodular continuous attractor neural networks, each processing a modality of sensory input and interacting with each other. We found that when bumps coexist in both modules, the position of each…

神经元与认知 · 定量生物学 2023-07-18 Min Yan , Wen-Hao Zhang , He Wang , K. Y. Michael Wong

Despite the significant advances achieved in Artificial Neural Networks (ANNs), their design process remains notoriously tedious, depending primarily on intuition, experience and trial-and-error. This human-dependent process is often…

人工智能 · 计算机科学 2025-02-20 Mohamed Shahawy , Elhadj Benkhelifa , David White

Artificial Neural Networks (ANNs) are computational models inspired by the central nervous system (especially the brain) of animals and are used to estimate or generate unknown approximation functions relied on large amounts of inputs.…

人工智能 · 计算机科学 2018-09-21 Huayu Li

The storage of continuous variables in working memory is hypothesized to be sustained in the brain by the dynamics of recurrent neural networks (RNNs) whose steady states form continuous manifolds. In some cases, it is thought that the…

神经元与认知 · 定量生物学 2023-10-31 Haggai Agmon , Yoram Burak

The deterministic dynamics of randomly connected neural networks are studied, where a state of binary neurons evolves according to a discreet-time synchronous update rule. We give a theoretical support that the overlap of systems' states…

统计力学 · 物理学 2015-03-10 Taro Toyoizumi , Haiping Huang

The existence of instabilities, for example in the form of adversarial examples, has given rise to a highly active area of research concerning itself with understanding and enhancing the stability of neural networks. We focus on a popular…

数值分析 · 数学 2025-10-28 Matthias J. Ehrhardt , Davide Murari , Ferdia Sherry

We study the stability of the dynamics of a network of n neurons intercting linearly through a random gaussian matrix of excitatory and inhibitory type. Using the aproach developed in a previous paper we show some interesting properties of…

数学物理 · 物理学 2011-11-10 J. F. Feng , M. Shcherbina , B. Tirozzi

Attractor dynamics are a fundamental computational motif in neural circuits, supporting diverse cognitive functions through stable, self-sustaining patterns of neural activity. In these lecture notes, we review four key examples that…

神经元与认知 · 定量生物学 2026-01-30 Tala Fakhoury , Elia Turner , Sushrut Thorat , Athena Akrami

Animals and insects showcase remarkably robust and adept navigational abilities, up to literally circumnavigating the globe. Primary progress in robotics inspired by these natural systems has occurred in two areas: highly theoretical…

机器人学 · 计算机科学 2023-08-02 Therese Joseph , Tobias Fischer , Michael Milford

Feed-forward neural networks (FNNs) work as standard building blocks in applying artificial intelligence (AI) to the physical world. They allow learning the dynamics of unknown physical systems (e.g., biological and chemical) {to predict…

机器学习 · 计算机科学 2022-06-23 Yu Wang , Qitong Gao , Miroslav Pajic

Humans excel at continually acquiring, consolidating, and retaining information from an ever-changing environment, whereas artificial neural networks (ANNs) exhibit catastrophic forgetting. There are considerable differences in the…

神经与进化计算 · 计算机科学 2023-04-17 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

Slow adaption processes, like synaptic and intrinsic plasticity, abound in the brain and shape the landscape for the neural dynamics occurring on substantially faster timescales. At any given time the network is characterized by a set of…

神经元与认知 · 定量生物学 2015-02-13 Claudius Gros , Mathias Linkerhand , Valentin Walther

Convolutional neural network (CNN) has drawn increasing interest in visual tracking owing to its powerfulness in feature extraction. Most existing CNN-based trackers treat tracking as a classification problem. However, these trackers are…

计算机视觉与模式识别 · 计算机科学 2017-05-02 Heng Fan , Haibin Ling

This paper investigates the conditions for the formation of local bumps in the activity of binary attractor neural networks with spatially dependent connectivity. We show that these formations are observed when asymmetry between the…

无序系统与神经网络 · 物理学 2009-11-11 Kostadin Koroutchev , Elka Korutcheva

Artificial neural networks (ANNs), which are inspired by the brain, are a central pillar in the ongoing breakthrough in artificial intelligence. In recent years, researchers have examined mechanical implementations of ANNs, denoted as…

神经与进化计算 · 计算机科学 2024-06-04 Eran Ben-Haim , Sefi Givli , Yizhar Or , Amir Gat

Graph neural networks (GNNs) have emerged as a versatile and efficient option for modeling the dynamic behavior of deformable materials. While GNNs generalize readily to arbitrary shapes, mesh topologies, and material parameters, existing…

机器学习 · 计算机科学 2026-04-30 Jiahong Wang , Logan Numerow , Stelian Coros , Christian Theobalt , Vahid Babaei , Bernhard Thomaszewski

In this review, we describe the singular success of attractor neural network models in describing how the brain maintains persistent activity states for working memory, error-corrects, and integrates noisy cues. We consider the mechanisms…

神经元与认知 · 定量生物学 2022-03-03 Mikail Khona , Ila R. Fiete

Collective rhythmic dynamics from neurons is vital for cognitive functions such as memory formation but how neurons self-organize to produce such activity is not well understood. Attractor-based models have been successfully implemented as…

神经元与认知 · 定量生物学 2013-03-22 Mark Niedringhaus , Xin Chen , Katherine Conant , Rhonda Dzakpasu