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In a number of disciplines, the data (e.g., graphs, manifolds) to be analyzed are non-Euclidean in nature. Geometric deep learning corresponds to techniques that generalize deep neural network models to such non-Euclidean spaces. Several…

Recurrent neural networks (RNNs) trained on neuroscience-inspired tasks offer powerful models of brain computation. However, typical training paradigms rely on open-loop, supervised settings, whereas real-world learning unfolds in…

Machine Learning · Computer Science 2025-11-07 Yoav Ger , Omri Barak

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

Many cognitive models, including those for predicting the time of future events, can be mapped onto a particular form of neural representation in which activity across a population of neurons is restricted to manifolds that specify the…

Neurons and Cognition · Quantitative Biology 2024-08-22 Bryan C. Daniels , Marc W. Howard

Understanding the internal dynamics of Recurrent Neural Networks (RNNs) is crucial for advancing their interpretability and improving their design. This study introduces an innovative information-theoretic method to identify and analyze…

Machine Learning · Computer Science 2025-10-03 Arend Hintze , Asadullah Najam , Jory Schossau

The relation between neural activity and behaviorally relevant variables is at the heart of neuroscience research. When strong, this relation is termed a neural representation. There is increasing evidence, however, for partial…

Neurons and Cognition · Quantitative Biology 2024-08-05 Friedrich Schuessler , Francesca Mastrogiuseppe , Srdjan Ostojic , Omri Barak

The comprehension of the mechanisms at the basis of the functioning of complexly interconnected networks represents one of the main goals of neuroscience. In this work, we investigate how the structure of recurrent connectivity influences…

Disordered Systems and Neural Networks · Physics 2019-05-14 Sungmin Hwang , Viola Folli , Enrico Lanza , Giorgio Parisi , Giancarlo Ruocco , Francesco Zamponi

Recurrent Neural Networks (RNNs) were recently successfully used to model the way neural activity drives task-related behavior in animals, operating under the implicit assumption that the obtained solutions are universal. Observations in…

Neurons and Cognition · Quantitative Biology 2021-11-19 Elia Turner , Kabir Dabholkar , Omri Barak

Neural dynamical systems with stable attractor structures, such as point attractors and continuous attractors, are hypothesized to underlie meaningful temporal behavior that requires working memory. However, working memory may not support…

Neurons and Cognition · Quantitative Biology 2023-08-25 Il Memming Park , Ábel Ságodi , Piotr Aleksander Sokół

Recurrent Neural Networks (RNNs) have found widespread applications in machine learning for time series prediction and dynamical systems reconstruction, and experienced a recent renaissance with improved training algorithms and…

Machine Learning · Computer Science 2026-04-14 Lukas Eisenmann , Alena Brändle , Zahra Monfared , Daniel Durstewitz

Circuits of biological neurons, such as in the functional parts of the brain can be modeled as networks of coupled oscillators. Inspired by the ability of these systems to express a rich set of outputs while keeping (gradients of) state…

Machine Learning · Computer Science 2021-03-16 T. Konstantin Rusch , Siddhartha Mishra

Working memory - the ability to remember recent events as they recede continuously into the past - requires the ability to represent any stimulus at any time delay. This property requires neurons coding working memory to show mixed…

Neurons and Cognition · Quantitative Biology 2025-08-12 Aakash Sarkar , Chenyu Wang , Shangfu Zuo , Marc W. Howard

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

Sequential activation of neurons is a common feature of network activity during a variety of behaviors, including working memory and decision making. Previous network models for sequences and memory emphasized specialized architectures in…

Neurons and Cognition · Quantitative Biology 2016-03-16 Kanaka Rajan , Christopher D Harvey , David W Tank

We study the learning dynamics and the representations emerging in Recurrent Neural Networks trained to integrate one or multiple temporal signals. Combining analytical and numerical investigations, we characterize the conditions under…

Machine Learning · Computer Science 2020-11-23 Arnaud Fanthomme , Rémi Monasson

Recurrent neural networks (RNN) are powerful tools to explain how attractors may emerge from noisy, high-dimensional dynamics. We study here how to learn the ~N^(2) pairwise interactions in a RNN with N neurons to embed L manifolds of…

Disordered Systems and Neural Networks · Physics 2020-02-05 Aldo Battista , Rémi Monasson

Cortical networks are strongly recurrent, and neurons have intrinsic temporal dynamics. This sets them apart from deep feed-forward networks. Despite the tremendous progress in the application of feed-forward networks and their theoretical…

Disordered Systems and Neural Networks · Physics 2021-07-14 Sandra Nestler , Christian Keup , David Dahmen , Matthieu Gilson , Holger Rauhut , Moritz Helias

Recurrent neural networks (RNNs) are a widely used tool for modeling sequential data, yet they are often treated as inscrutable black boxes. Given a trained recurrent network, we would like to reverse engineer it--to obtain a quantitative,…

Machine Learning · Computer Science 2019-12-06 Niru Maheswaranathan , Alex Williams , Matthew D. Golub , Surya Ganguli , David Sussillo

We investigate recurrent neural networks with asymmetric interactions and demonstrate that the inclusion of self-couplings or sparse excitatory inter-module connections leads to the emergence of a densely connected manifold of dynamically…

Disordered Systems and Neural Networks · Physics 2026-01-01 Davide Badalotti , Carlo Baldassi , Marc Mézard , Mattia Scardecchia , Riccardo Zecchina

Despite the significance of short-term memory in cognitive function, the process of encoding and sustaining the input information in neural activity dynamics remains elusive. Herein, we unveiled the significance of transient neural dynamics…

Neurons and Cognition · Quantitative Biology 2021-09-01 Kohei Ichikawa , Kunihiko Kaneko