most citedThermodynamics-informed graph neural networks

57 citations

8 papers

cs.LO2022

On Robustness for the Skolem, Positivity and Ultimate Positivity Problems

S. Akshay, Hugo Bazille, Blaise Genest +1

The Skolem problem is a long-standing open problem in linear dynamical systems: can a linear recurrence sequence (LRS) ever reach 0 from a given initial configuration? Similarly, t…

cs.LG2022★ 18 cited

Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems

Quercus Hernández, Alberto Badías, Francisco Chinesta +1

We develop inductive biases for the machine learning of complex physical systems based on the port-Hamiltonian formalism. To satisfy by construction the principles of thermodynamic…

cs.GR2022★ 26 cited

Thermodynamics-informed neural networks for physically realistic mixed reality

Quercus Hernández, Alberto Badías, Francisco Chinesta +1

The imminent impact of immersive technologies in society urges for active research in real-time and interactive physics simulation for virtual worlds to be realistic. In this conte…

cond-mat.soft2022★ 12 cited

Local Plastic Response and Slow Heterogeneous Dynamics of Supercooled Liquids

Yan-Wei Li, Yugui Yao, Massimo Pica Ciamarra

We demonstrate, via numerical simulations, that the relaxation dynamics of supercooled liquids correlates well with a plastic length scale measuring a particle's response to impuls…

cond-mat.soft2022★ 12 cited

Interplay between jamming and MIPS in persistent self-propelling particles

Jing Yang, Ran Ni, Massimo Pica Ciamarra

In living and engineered systems of active particles, self-propulsion induces an unjamming transition from a solid to a fluid phase and phase separation between a gas and a liquid-…

cs.LG2022★ 57 cited

Thermodynamics-informed graph neural networks

Quercus Hernández, Alberto Badías, Francisco Chinesta +1

In this paper we present a deep learning method to predict the temporal evolution of dissipative dynamic systems. We propose using both geometric and thermodynamic inductive biases…

q-fin.CP2022

Deep self-consistent learning of local volatility

Zhe Wang, Ameir Shaa, Nicolas Privault +1

We present an algorithm for the calibration of local volatility from market option prices through deep self-consistent learning, by approximating both market option prices and loca…

cond-mat.soft2021★ 33 cited

Unifying description of the vibrational anomalies of amorphous materials

Shivam Mahajan, Massimo Pica Ciamarra

The vibrational density of states of solids controls their thermal and transport properties. In crystals, the low-frequency modes are extended phonons distributed in frequen…