Forecasting sequential data using consistent koopman autoencoders

O Azencot, NB Erichson, V Lin… - … on Machine Learning, 2020 - proceedings.mlr.press
Recurrent neural networks are widely used on time series data, yet such models often
ignore the underlying physical structures in such sequences. A new class of physics-based …

Physics-based fluid simulation in computer graphics: Survey, research trends, and challenges

X Wang, Y Xu, S Liu, B Ren, J Kosinka… - Computational Visual …, 2024 - Springer
Physics-based fluid simulation has played an increasingly important role in the computer
graphics community. Recent methods in this area have greatly improved the generation of …

Directional field synthesis, design, and processing

A Vaxman, M Campen, O Diamanti… - Computer graphics …, 2016 - Wiley Online Library
Direction fields and vector fields play an increasingly important role in computer graphics
and geometry processing. The synthesis of directional fields on surfaces, or other spatial …

Computing and processing correspondences with functional maps

M Ovsjanikov, E Corman, M Bronstein… - SIGGRAPH ASIA 2016 …, 2016 - dl.acm.org
Notions of similarity and correspondence between geometric shapes and images are central
to many tasks in geometry processing, computer vision, and computer graphics. The goal of …

Covector fluids

MS Nabizadeh, S Wang, R Ramamoorthi… - ACM Transactions on …, 2022 - dl.acm.org
The animation of delicate vortical structures of gas and liquids has been of great interest in
computer graphics. However, common velocity-based fluid solvers can damp the vortical …

Flow lattice model for the simulation of chemistry dependent transport phenomena in cementitious materials

H Yin, A Cibelli, SA Brown, L Yang, L Shen… - European Journal of …, 2024 - Taylor & Francis
This study presents the formulation and validation of a three-dimensional Flow Lattice Model
(FLM) with application to the Hygro-Thermo-Chemical (HTC) model for analysis of moisture …

Multifactor sequential disentanglement via structured koopman autoencoders

N Berman, I Naiman, O Azencot - arXiv preprint arXiv:2303.17264, 2023 - arxiv.org
Disentangling complex data to its latent factors of variation is a fundamental task in
representation learning. Existing work on sequential disentanglement mostly provides two …

Model-reduced variational fluid simulation

B Liu, G Mason, J Hodgson, Y Tong… - ACM Transactions on …, 2015 - dl.acm.org
We present a model-reduced variational Eulerian integrator for incompressible fluids, which
combines the efficiency gains of dimension reduction, the qualitative robustness of coarse …

Generative modeling of regular and irregular time series data via koopman VAEs

I Naiman, NB Erichson, P Ren, MW Mahoney… - arXiv preprint arXiv …, 2023 - arxiv.org
Generating realistic time series data is important for many engineering and scientific
applications. Existing work tackles this problem using generative adversarial networks …

A model for soap film dynamics with evolving thickness

S Ishida, P Synak, F Narita, T Hachisuka… - ACM Transactions on …, 2020 - dl.acm.org
Previous research on animations of soap bubbles, films, and foams largely focuses on the
motion and geometric shape of the bubble surface. These works neglect the evolution of the …