Artificial Neural Networks (ANNs) are transforming how we understand chemical mixtures, providing an expressive view of the chemical space and multiscale processes. Their …
The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the …
Y Tanaka, T Iwata - Advances in Neural Information …, 2022 - proceedings.neurips.cc
Hamiltonian mechanics is a well-established theory for modeling the time evolution of systems with conserved quantities (called Hamiltonian), such as the total energy of the …
J Wang, S Wang, HM Unjhawala, J Wu… - Multibody System …, 2024 - Springer
We describe a framework that can integrate prior physical information, eg, the presence of kinematic constraints, to support data-driven simulation in multibody dynamics. Unlike other …
This work presents a general geometric framework for simulating and learning the dynamics of Hamiltonian systems that are invariant under a Lie group of transformations. This means …
Y Okamoto, R Kojima - arXiv preprint arXiv:2408.11479, 2024 - arxiv.org
This study challenges strictly guaranteeing``dissipativity''of a dynamical system represented by neural networks learned from given time-series data. Dissipativity is a crucial indicator for …
There is, at present, a lack of consensus regarding precisely what is meant by the term'energy'across the sub-disciplines of neuroscience. Definitions range from deficits in the …
Nonlinear mechanical systems can exhibit non-uniqueness of the displacement field in response to a force field, which is related to the non-convexity of strain energy. This work …
The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the …