Browsing Fakultet for informasjonsteknologi og elektroteknikk (IE) by Journals "Physica D : Non-linear phenomena"
Now showing items 1-5 of 5
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Assessing the robustness of critical behavior in stochastic cellular automata
(Peer reviewed; Journal article, 2022)There is evidence that biological systems, such as the brain, work at a critical regime robust to noise, and are therefore able to remain in it under perturbations. In this work, we address the question of robustness of ... -
A long short term memory for hybrid uplifted reduced order models.
(Peer reviewed; Journal article, 2020)In this paper, we introduce an uplifted reduced order modeling (UROM) approach through the integration of standard projection based methods with long short-term memory (LSTM) embedding. Our approach has three modeling ... -
Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes?
(Peer reviewed; Journal article, 2023)The usage of generative adversarial networks (GAN)s for synthetic time-series data generation has been gaining popularity in recent years with applications from finance to music composition and processing of textual content. ... -
Pseudo-Hamiltonian neural networks with state-dependent external forces
(Peer reviewed; Journal article, 2023)Hybrid machine learning based on Hamiltonian formulations has recently been successfully demonstrated for simple mechanical systems, both energy conserving and not energy conserving. We introduce a pseudo-Hamiltonian ... -
Stumpons are non-conservative traveling waves of the Camassa–Holm equation
(Peer reviewed; Journal article, 2022)It is well-known that by requiring solutions of the Camassa–Holm equation to satisfy a particular local conservation law for the energy in the weak sense, one obtains what is known as conservative solutions. As conservative ...