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The task of modelling and forecasting a dynamical system is one of the oldest problems, and it remains challenging. Broadly, this task has two subtasks - extracting the full dynamical information from a partial observation; and then…

Dynamical Systems · Mathematics 2022-08-16 Tyrus Berry , Suddhasattwa Das

Neural network models capable of storing memory have been extensively studied in computer science and computational neuroscience. The Hopfield network is a prototypical example of a model designed for associative, or content-addressable,…

Neurons and Cognition · Quantitative Biology 2025-09-24 Marco Cafiso , Paolo Paradisi

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

The increasing relevance of areas such as real-time and embedded systems, pervasive computing, hybrid systems control, and biological and social systems modeling is bringing a growing attention to the temporal aspects of computing, not only…

General Literature · Computer Science 2013-08-15 Carlo A. Furia , Dino Mandrioli , Angelo Morzenti , Matteo Rossi

Deep neural networks, including recurrent networks, have been successfully applied to human activity recognition. Unfortunately, the final representation learned by recurrent networks might encode some noise (irrelevant signal components,…

Machine Learning · Computer Science 2018-10-10 Ming Zeng , Haoxiang Gao , Tong Yu , Ole J. Mengshoel , Helge Langseth , Ian Lane , Xiaobing Liu

Many real-world complex systems are characterized by interactions in groups that change in time. Current temporal network approaches, however, are unable to describe group dynamics, as they are based on pairwise interactions only. Here, we…

Physics and Society · Physics 2023-03-17 Luca Gallo , Lucas Lacasa , Vito Latora , Federico Battiston

Nonlinear stochastic modeling is useful for describing complex engineering systems. Meanwhile, neuromorphic (brain-inspired) computing paradigms are developing to tackle tasks that are challenging and resource intensive on digital…

Systems and Control · Electrical Eng. & Systems 2021-08-19 J. Chen , H. I. Nurdin

Nonlinear and non-stationary processes are prevalent in various natural and physical phenomena, where system dynamics can change qualitatively due to bifurcation phenomena. Traditional machine learning methods have advanced our ability to…

Machine Learning · Statistics 2024-06-21 Keita Tokuda , Yuichi Katori

The advantages of temporal networks in capturing complex dynamics, such as diffusion and contagion, has led to breakthroughs in real world systems across numerous fields. In the case of human behavior, face-to-face interaction networks…

Social and Information Networks · Computer Science 2025-06-06 Nicolò Alessandro Girardini , Antonio Longa , Gaia Trebucchi , Giulia Cencetti , Andrea Passerini , Bruno Lepri

Making accurate predictions of chaotic time series is a complex challenge. Reservoir computing, a neuromorphic-inspired approach, has emerged as a powerful tool for this task. It exploits the memory and nonlinearity of dynamical systems…

Machine Learning · Computer Science 2025-05-26 Rodrigo Martínez-Peña , Román Orús

This paper presents a novel spatiotemporal transformer network that introduces several original components to detect actions in untrimmed videos. First, the multi-feature selective semantic attention model calculates the correlations…

Computer Vision and Pattern Recognition · Computer Science 2024-05-15 Matthew Korban , Peter Youngs , Scott T. Acton

Multi-layered networks represent a major advance in the description of natural complex systems, and their study has shed light on new physical phenomena. Despite its importance, however, the role of the temporal dimension in their structure…

Physics and Society · Physics 2017-09-07 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

We propose dynamic scaling in temporal networks with heterogeneous activities and memory, and provide a comprehensive picture for the dynamic topologies of such networks, in terms of the modified activity-driven network model [H. Kim…

Statistical Mechanics · Physics 2018-06-29 Hyewon Kim , Meesoon Ha , Hawoong Jeong

In group activity recognition, the temporal dynamics of the whole activity can be inferred based on the dynamics of the individual people representing the activity. We build a deep model to capture these dynamics based on LSTM (long-short…

Computer Vision and Pattern Recognition · Computer Science 2016-04-07 Moustafa Ibrahim , Srikanth Muralidharan , Zhiwei Deng , Arash Vahdat , Greg Mori

Even if a linear system of ordinary differential equations has a globally attracting equilibrium at the origin, small disturbances from the equilibrium may lead to large transient excursions before the system stabilizes. This…

Dynamical Systems · Mathematics 2026-05-13 James Broda , Alanna Haslam-Hyde , Mary Lou Zeeman

From logical reasoning to mental simulation, biological and artificial neural systems possess an incredible capacity for computation. Such neural computers offer a fundamentally novel computing paradigm by representing data continuously and…

Disordered Systems and Neural Networks · Physics 2022-03-11 Jason Z. Kim , Dani S. Bassett

Recurrent Neural Networks (RNNs) have been a prominent concept within artificial intelligence. They are inspired by Biological Neural Networks (BNNs) and provide an intuitive and abstract representation of how BNNs work. Derived from the…

Neural and Evolutionary Computing · Computer Science 2017-03-09 Stefano Nichele , Andreas Molund

Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal networks as trajectories performing a collective motion in…

Social and Information Networks · Computer Science 2022-10-18 Lucas Lacasa , Jorge P. Rodriguez , Victor M. Eguiluz

This paper develops a set of simplified dynamical models with which to explore the conditions under which temporal differentiation leads to optimized system output. By temporal differentiation, we mean a division of labor whereby different…

Neurons and Cognition · Quantitative Biology 2007-05-23 Emmanuel Tannenbaum

Many earth observation programs such as Landsat, Sentinel, SPOT, and Pleiades produce huge volume of medium to high resolution multi-spectral images every day that can be organized in time series. In this work, we exploit both temporal and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Gael Kamdem De Teyou , Yuliya Tarabalka , Isabelle Manighetti , Rafael Almar , Sebastien Tripod