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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…

Neurons and Cognition · Quantitative Biology 2023-10-31 Haggai Agmon , Yoram Burak

In the mammalian brain, newly acquired memories depend on the hippocampus for maintenance and recall, but over time the neocortex takes over these functions, rendering memories hippocampus-independent. The process responsible for this…

Neurons and Cognition · Quantitative Biology 2021-07-02 Peter Helfer , Thomas R. Shultz

This paper presents a mathematically rigorous framework for brain-inspired representation learning founded on the interplay between persistent topological structures and cohomological flows. Neural computation is reformulated as the…

Machine Learning · Computer Science 2025-12-10 Preksha Girish , Rachana Mysore , Mahanthesha U , Shrey Kumar , Shipra Prashant

In the mammalian brain newly acquired memories depend on the hippocampus for maintenance and recall, but over time these functions are taken over by the neocortex through a process called systems consolidation. However, reactivation of a…

Neurons and Cognition · Quantitative Biology 2019-03-29 Peter Helfer , Thomas R. Shultz

Recurrent neural networks (RNNs) provide a theoretical framework for understanding computation in biological neural circuits, yet classical results, such as Hopfield's model of associative memory, rely on symmetric connectivity that…

Disordered Systems and Neural Networks · Physics 2026-02-17 Ramón Nartallo-Kaluarachchi , Renaud Lambiotte , Alain Goriely

The ability to store continuous variables in the state of a biological system (e.g. a neural network) is critical for many behaviours. Most models for implementing such a memory manifold require hand-crafted symmetries in the interactions…

Neurons and Cognition · Quantitative Biology 2024-09-09 Tankut Can , Kamesh Krishnamurthy

Associative memory architectures such as the Hopfield network have long been important conceptual and theoretical models for neuroscience and artificial intelligence. However, translating these abstract models into spiking neural networks…

Neurons and Cognition · Quantitative Biology 2025-07-02 William F. Podlaski , Christian K. Machens

Artificial Recurrent Neural Networks (RNNs) are widely used in neuroscience to model the collective activity of neurons during behavioral tasks. The high dimensionality of their parameter and activity spaces, however, often make it…

Dynamical Systems · Mathematics 2025-10-16 Alice Marraffa , Renate Krause , Valerio Mante , George Haller

Neural manifolds summarize the intrinsic structure of the information encoded by a population of neurons. Advances in experimental techniques have made simultaneous recordings from multiple brain regions increasingly commonplace, raising…

Neurons and Cognition · Quantitative Biology 2025-03-27 Iris H. R. Yoon , Gregory Henselman-Petrusek , Yiyi Yu , Robert Ghrist , Spencer LaVere Smith , Chad Giusti

Spiking neural networks and neuromorphic hardware platforms that simulate neuronal dynamics are getting wide attention and are being applied to many relevant problems using Machine Learning. Despite a well-established mathematical…

How neural networks in the human brain represent commonsense knowledge, and complete related reasoning tasks is an important research topic in neuroscience, cognitive science, psychology, and artificial intelligence. Although the…

Neural and Evolutionary Computing · Computer Science 2022-07-13 Hongjian Fang , Yi Zeng , Jianbo Tang , Yuwei Wang , Yao Liang , Xin Liu

The standard consolidation theory states that short-term memories located in the hippocampus enable the consolidation of long-term memories in the neocortex. In other words, the neocortex slowly learns long-term memories with a transient…

Neurons and Cognition · Quantitative Biology 2024-04-05 Lisa Blum Moyse , Hugues Berry

The human brain is a complex inter-wired system that emerges spontaneous functional fluctuations. In spite of tremendous success in the experimental neuroscience field, a system-level understanding of how brain anatomy supports various…

Neurons and Cognition · Quantitative Biology 2024-05-28 Tingting Dan , Ziquan Wei , Won Hwa Kim , Guorong Wu

Thanks to novel, powerful brain activity recording techniques, we can create data-driven models from thousands of recording channels and large portions of the cortex, which can improve our understanding of brain-states neuromodulation and…

Spiking neural networks excel at event-driven sensing. Yet, maintaining task-relevant context over long timescales both algorithmically and in hardware, while respecting both tight energy and memory budgets, remains a core challenge in the…

Neural and Evolutionary Computing · Computer Science 2026-05-05 Pengfei Sun , Zhe Su , Jascha Achterberg , Giacomo Indiveri , Dan F. M. Goodman , Danyal Akarca

In this paper, a novel architecture of Recurrent Neural Network (RNN) is designed and experimented. The proposed RNN adopts a computational memory based on the concept of stigmergy. The basic principle of a Stigmergic Memory (SM) is that…

Neural and Evolutionary Computing · Computer Science 2019-04-30 Federico A. Galatolo , Mario G. C. A. Cimino , Gigliola Vaglini

Recordings of complex neural population responses provide a unique opportunity for advancing our understanding of neural information processing at multiple scales and improving performance of brain computer interfaces. However, most…

Neurons and Cognition · Quantitative Biology 2022-07-12 Lazaros Mitskopoulos , Theoklitos Amvrosiadis , Arno Onken

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…

We present the Global Neural World Model (GNWM), a self-stabilizing framework that achieves topological quantization through balanced continuous entropy constraints. Operating as a continuous, action-conditioned Joint-Embedding Predictive…

Machine Learning · Computer Science 2026-04-21 Noureddine Kermiche

The nervous system, more specifically, the brain, is capable of solving complex problems simply and efficiently, far surpassing modern computers. In this regard, neuromorphic engineering is a research field that focuses on mimicking the…

Neural and Evolutionary Computing · Computer Science 2022-06-13 Daniel Casanueva-Morato , Alvaro Ayuso-Martinez , Juan P. Dominguez-Morales , Angel Jimenez-Fernandez , Gabriel Jimenez-Moreno
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