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We present a multi-scale differentiable brain modeling workflow utilizing BrainPy, a unique differentiable brain simulator that combines accurate brain simulation with powerful gradient-based optimization. We leverage this capability of…

Neural and Evolutionary Computing · Computer Science 2024-09-26 Chaoming Wang , Muyang Lyu , Tianqiu Zhang , Sichao He , Si Wu

We find the density matrix corresponding to the vacuum state of a massless Dirac field in two dimensions reduced to a region of the space formed by several disjoint intervals. We calculate explicitly its spectral decomposition. The…

High Energy Physics - Theory · Physics 2020-07-16 H. Casini , M. Huerta

Animal morphogenesis often involves significant shape changes of epithelial tissue sheets. Great progress has been made in understanding the underlying cellular driving forces and their coordination through biomechanical feedback loops.…

Soft Condensed Matter · Physics 2024-09-23 Nikolas H. Claussen , Fridtjof Brauns

Describing the collective dynamics of large neural populations using low-dimensional models for averaged variables has long been an attractive task in theoretical neuroscience. Recently developed reduction methods make it possible to derive…

Chaotic Dynamics · Physics 2022-04-27 Viktoras Pyragas , Kestutis Pyragas

Modeling episodic memory (EM) remains a significant challenge in both neuroscience and AI, with existing models either lacking interpretability or struggling with practical applications. This paper proposes the Vision-Language Episodic…

Neurons and Cognition · Quantitative Biology 2025-05-09 Chong Li , Taiping Zeng , Xiangyang Xue , Jianfeng Feng

Humans abstract experiences into structured representations to facilitate pattern inference and knowledge transfer. While the hippocampal-entorhinal (HPC-MEC) circuit is known to represent both spatial and conceptual spaces, the mechanisms…

Neural and Evolutionary Computing · Computer Science 2026-05-18 Tianqiu Zhang , Muyang Lyu , Xiao Liu , Si Wu

Understanding how neural activity gives rise to perception is a central challenge in neuroscience. We address the problem of decoding visual information from high-density intracortical recordings in primates, using the THINGS Ventral Stream…

Neurons and Cognition · Quantitative Biology 2026-01-19 Matteo Ciferri , Matteo Ferrante , Nicola Toschi

Despite substantial progress in deep learning approaches to time-series reconstruction, no existing methods are designed to uncover local activities with minute signal strength due to their negligible contribution to the optimization loss.…

Machine Learning · Computer Science 2022-09-27 Maryam Toloubidokhti , Ryan Missel , Xiajun Jiang , Niels Otani , Linwei Wang

Deep learning paradigms, such as PINNs and neural operators, have significantly advanced the solving of PDEs. However, they often struggle to capture the continuous integral nature of physical systems, relying either on pointwise residuals…

Machine Learning · Computer Science 2026-05-12 Hanru Bai , Yuncheng Zhou , Difan Zou

In this work we consider partially observable environments with sparse rewards. We present a self-supervised representation learning method for image-based observations, which arranges embeddings respecting temporal distance of…

Machine Learning · Computer Science 2020-10-07 Aleksandr Ermolov , Nicu Sebe

Multimodal MRI offers complementary multi-scale information to characterize the brain structure. However, it remains challenging to effectively integrate multimodal MRI while achieving neuroscience interpretability. Here we propose to use…

Neurons and Cognition · Quantitative Biology 2025-12-15 Chengzhi Xia , Jianwei Chen , Yixuan Jiang , Qi Yan , Chao Li

We study the mean-field limit of a generic class of dynamic co-evolving latent space networks motivated by the social and opinion dynamics literature. Such models include $n$ agents, whose opinions are given by latent stochastic processes,…

Probability · Mathematics 2026-04-24 Ankan Ganguly , Konstantinos Spiliopoulos , Daniel Sussman

We study a model of interacting neurons. The structure of this neural system is composed of two layers of neurons such that the neurons of the first layer send their spikes to the neurons of the second one: if $N$ is the number of neurons…

Probability · Mathematics 2023-06-22 Xavier Erny

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

Machine Learning · Computer Science 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari

This paper introduces a novel, open-source MARL simulation framework for studying implicit cooperation in LEMs, modeled as a decentralized partially observable Markov decision process and implemented as a Gymnasium environment for MARL. Our…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Nelson Salazar-Pena , Alejandra Tabares , Andres Gonzalez-Mancera

Neural field equations are integro-differential systems describing the macroscopic activity of spatially extended pieces of cortex. In such cortical assemblies, the propagation of information and the transmission machinery induce…

Dynamical Systems · Mathematics 2014-02-05 Grégory Faye , Jonathan Touboul

A central idea in understanding brains and building artificial intelligence is that structure determines function. Yet, how the brain's complex structure arises from a limited set of genetic instructions remains a key question. The ultra…

Neurons and Cognition · Quantitative Biology 2026-01-28 Xingyu Liu , Yubin Li , Guozhang Chen

The classical biophysical Morris-Lecar model of neuronal excitability predicts that upon stimulation of the neuron with a sufficiently large constant depolarizing current there exists a finite interval of the current values where periodic…

Neurons and Cognition · Quantitative Biology 2021-05-14 A. V. Paraskevov , T. S. Zemskova

Latent manifolds provide a compact characterization of neural population activity and of shared co-variability across brain areas. Nonetheless, existing statistical tools for extracting neural manifolds face limitations in terms of…

Neurons and Cognition · Quantitative Biology 2022-09-08 Edoardo Balzani , Jean Paul Noel , Pedro Herrero-Vidal , Dora E. Angelaki , Cristina Savin

Recent state-of-the-art authorship attribution methods learn authorship representations of texts in a latent, non-interpretable space, hindering their usability in real-world applications. Our work proposes a novel approach to interpreting…

Computation and Language · Computer Science 2024-09-12 Milad Alshomary , Narutatsu Ri , Marianna Apidianaki , Ajay Patel , Smaranda Muresan , Kathleen McKeown