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Related papers: Emergence of robust memory manifolds

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The stability--robustness--resilience--adaptiveness continuum in neuronal processing follows a hierarchical structure that explains interactions and information processing among the different time scales. Interestingly, using "canonical"…

Neurons and Cognition · Quantitative Biology 2024-04-24 Cristian Axenie

Spiking neural networks (SNNs) are gaining popularity in deep learning due to their low energy budget on neuromorphic hardware. However, they still face challenges in lacking sufficient robustness to guard safety-critical applications such…

Neural and Evolutionary Computing · Computer Science 2024-06-03 Jianhao Ding , Zhiyu Pan , Yujia Liu , Zhaofei Yu , Tiejun Huang

We introduce a new structure for memory neural networks, called feedforward sequential memory networks (FSMN), which can learn long-term dependency without using recurrent feedback. The proposed FSMN is a standard feedforward neural…

Neural and Evolutionary Computing · Computer Science 2016-01-07 ShiLiang Zhang , Hui Jiang , Si Wei , LiRong Dai

Recent theoretical and experimental work in neuroscience has focused on the representational and dynamical character of neural manifolds --subspaces in neural activity space wherein many neurons coactivate. Importantly, neural populations…

Neurons and Cognition · Quantitative Biology 2024-10-21 Jacob Tanner , Sina Mansour L. , Ludovico Coletta , Alessandro Gozzi , Richard F. Betzel

We propose an algorithm grounded in dynamical systems theory that generalizes manifold learning from a global state representation, to a network of local interacting manifolds termed a Generative Manifold Network (GMN). Manifolds are…

Deciphering the underpinnings of the dynamical processes leading to information transmission, processing, and storing in the brain is a crucial challenge in neuroscience. An inspiring but speculative theoretical idea is that such dynamics…

Statistical Mechanics · Physics 2023-07-21 Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

Despite evidence for the existence of engrams as memory support structures in our brains, there is no consensus framework in neuroscience as to what their physical implementation might be. Here we propose how we might design a computer…

Neurons and Cognition · Quantitative Biology 2023-03-03 Jesus Marco de Lucas

Dynamical entities interacting with each other on complex networks often exhibit multistability. The stability of a desired steady regime (e.g., a synchronized state) to large perturbations is critical in the operation of many real-world…

Chaotic Dynamics · Physics 2017-03-22 Chiranjit Mitra , Anshul Choudhary , Sudeshna Sinha , Jürgen Kurths , Reik V. Donner

The field of artificial intelligence faces significant challenges in achieving both biological plausibility and computational efficiency, particularly in visual learning tasks. Current artificial neural networks, such as convolutional…

Machine Learning · Computer Science 2024-09-27 Jacobo Ruiz , Manas Gupta

Neural Collapse refers to the curious phenomenon in the end of training of a neural network, where feature vectors and classification weights converge to a very simple geometrical arrangement (a simplex). While it has been observed…

Machine Learning · Computer Science 2024-11-14 Jingtong Su , Ya Shi Zhang , Nikolaos Tsilivis , Julia Kempe

Deep Feedback Models (DFMs) are a new class of stateful neural networks that combine bottom up input with high level representations over time. This feedback mechanism introduces dynamics into otherwise static architectures, enabling DFMs…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 David Calhas , Arlindo L. Oliveira

Standard dense retrievers lack a native calculus for multi-atom logical constraints. We introduce Neuro-Symbolic Fuzzy Logic (NSFL), a framework that adapts formal t-norms and t-conorms to neural embedding spaces without requiring…

Information Retrieval · Computer Science 2026-04-14 Vladi Vexler , Ofer Idan , Gil Lederman , Dima Sivov

A new mathematical model of neural networks described by diffusive FitzHugh-Nagumo equations with memristors and linear synaptic coupling is proposed and investigated. The existence of absorbing set for the solution semiflow in the energy…

Analysis of PDEs · Mathematics 2023-08-09 Yuncheng You , Jing Tian , Junyi Tu

Catastrophic forgetting (CF) happens whenever a neural network overwrites past knowledge while being trained on new tasks. Common techniques to handle CF include regularization of the weights (using, e.g., their importance on past tasks),…

Machine Learning · Statistics 2021-08-06 Jary Pomponi , Simone Scardapane , Aurelio Uncini

Recent developments in experimental neuroscience make it possible to simultaneously record the activity of thousands of neurons. However, the development of analysis approaches for such large-scale neural recordings have been slower than…

Neurons and Cognition · Quantitative Biology 2022-10-18 Rufus Mitchell-Heggs , Seigfred Prado , Giuseppe P. Gava , Mary Ann Go , Simon R. Schultz

Synchronization plays a fundamental role in healthy cognitive and motor function. However, how synchronization depends on the interplay between local dynamics, coupling and topology and how prone to synchronization a network with given…

Neurons and Cognition · Quantitative Biology 2018-06-06 David Papo , Javier M. Buldú

Stable diffusion models have ushered in a new era of advancements in image generation, currently reigning as the state-of-the-art approach, exhibiting unparalleled performance. The process of diffusion, accompanied by denoising through…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Andras Horvath

A thermodynamically motivated neural network model is described that self-organizes to transport charge associated with internal and external potentials while in contact with a thermal reservoir. The model integrates techniques for rapid,…

Neurons and Cognition · Quantitative Biology 2020-04-22 Todd Hylton

Neural networks often require large amounts of data to generalize and can be ill-suited for modeling small and noisy experimental datasets. Standard network architectures trained on scarce and noisy data will return predictions that violate…

Machine Learning · Computer Science 2021-05-20 Gregory Barber , Mulugeta A. Haile , Tzikang Chen

Neural networks are based on a simplified model of the brain. In this project, we wanted to relax the simplifying assumptions of a traditional neural network by making a model that more closely emulates the low level interactions of…

Machine Learning · Computer Science 2018-07-31 Jacob Beck , Zoe Papakipos