The paper introduces ELiSe, a model that leverages cortical network scaffolds and dendritic compartments to learn complex non‑Markovian spatio‑temporal patterns using only local, always‑on, phase‑free synaptic plasticity. It demonstrates the model’s ability to acquire and replay intricate sequences, exemplified by a birdsong learning mock‑up, and shows robustness to external disturbances and flexibility in parameter settings.
By Laura Kriener, Kristin V\"olk, Ben von H\"unerbein, Federico Benitez, Walter Senn, Mihai A. Petrovici
arXiv:2602. 14885v2 Announce Type: replace-cross Abstract: 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 restricts network dynamics to gradient-like flows.
By Ram\'on Nartallo-Kaluarachchi, Renaud Lambiotte, Alain Goriely
arXiv:2601. 13534v3 Announce Type: replace-cross Abstract: Time series generation (TSG) is widely used across domains, yet most existing methods assume regular sampling and fixed output resolutions.
By Xu Zhang, Junwei Deng, Chang Xu, Hao Li, Jiang Bian
arXiv:2605. 05540v2 Announce Type: replace Abstract: Fast surrogate modeling for high-dimensional physical dynamics requires more than low short-term error: useful models must roll out efficiently while preserving the statistical structure of long trajectories.
By Tianyue Yang, Xiao Xue
arXiv:2607. 28035v1 Announce Type: new Abstract: Irregular multivariate time series are widely encountered in applications such as healthcare monitoring, human activity recognition, and environmental sensing.
By Tianen Shen, Zhengyu Li, Yutong Li, Xiangfei Qiu, Xingjian Wu, Bin Yang, Jilin Hu
arXiv:2511. 20577v5 Announce Type: replace Abstract: Real-world time series often exhibit strong non-stationarity, complex nonlinear dynamics, and behavior expressed across multiple temporal scales, from rapid local fluctuations to slow-evolving long-range trends.
By Sumit S Shevtekar, Chandresh K Maurya
The paper introduces a new class of stochastic differential equations (SDEs) whose solutions are guaranteed to stay within a specified compact polyhedral state space, addressing key limitations of existing SDE models for irregular, noisy, and partially observed ecological momentary assessment (EMA) data. It demonstrates that traditional chain‑rule constructions fail both theoretically and empirically, derives necessary constraints on drift and diffusion terms, and presents a parameterization that transforms arbitrary dynamics into constraint‑satisfying SDEs. Experiments on several real EMA datasets, including a large suicide‑risk study, show that this approach improves forecasting and optimization compared to standard latent neural SDE baselines, thereby enabling more trustworthy continuous‑time models for clinical time series.
By Malinda Lu, Yue-Jane Liu, Matthew K. Nock, Yaniv Yacoby
arXiv:2609.38356v1 Announce Type: new
Abstract: Dynamical Systems Reconstruction (DSR) aims to infer models from observed time series that reproduce a system's qualitative long-term behavior. Continu...
By Sima Hashemi, Daniel Durstewitz, Georgia Koppe
The paper introduces a physics-constrained neural network surrogate that learns the microstructural evolution of binary mixtures governed by the Cahn‑Hilliard equation. By imposing conservation of the order parameter as a hard constraint on the network output, the model accurately predicts long‑time phase‑separation dynamics for both critical and off‑critical mixtures, maintaining mixture composition and matching the Lifshitz‑Slyozov domain‑growth law. A variant that enforces conservation only through a penalty term drifts from the initial composition and loses predictive accuracy over long rollouts, underscoring the necessity of the hard constraint for stability.
By Vijay Yadav, Pallvi Pandey, Madhu Priya, Manish Dev Shrimali, Prabhat K. Jaiswal
arXiv:2610. 01369v1 Announce Type: new Abstract: Understanding a nonlinear dynamical system from time series requires not only reproducing its trajectories, but also identifying a simple representation that preserves its essential dynamical structure.
By Hiroto Tamura, Gouhei Tanaka
arXiv:2505. 23863v3 Announce Type: replace-cross Abstract: Understanding chaotic dynamics is a fundamental problem across scientific disciplines, including climate science, neuroscience, and fluid dynamics, yet direct experimentation and intervention in such systems are often infeasible.
By Chang Liu, Bohao Zhao, Jingtao Ding, Huandong Wang, Yong Li
The paper introduces a new method for simulating coupled dynamical systems that bypasses traditional time‑stepping. Instead of marching through time, each subsystem is represented by a neural surrogate that maps an entire driving trajectory and initial condition to a full output trajectory. Coupling is achieved by enforcing self‑consistency across these trajectories, turning the simulation into a fixed‑point problem over complete trajectories. Experiments on van der Pol oscillators and Hodgkin‑Huxley neuron networks show that only 4–10 Newton iterations are needed, compared to 1500 steps for a conventional integrator, and that the gradient can be computed without time recursion using GMRES. The spectral radius of the surrogate’s Jacobian predicts convergence, and the implicit gradient remains accurate even when unrolled backpropagation diverges.
By Liyu Zerihun, Mark Shinyoung Lee