A shape-similarity latent space for fluid interfaces: invertible reduced-order modelling of droplet morphology

arXiv:2609.37947 · physics.flu-dyn, physics.comp-ph, physics.data-an, stat.ML · Submitted 2026-09-29 · Read on arXiv

physics.flu-dyn, physics.comp-ph, physics.data-an, stat.ML

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Clustering — 24× in this paper · explained in 2 episodes
• Ablation — 16× in this paper · explained in 1 episode
• Reconstruction Error — 12× in this paper · explained in 2 episodes
• Latent Space — 10× in this paper · explained in 7 episodes
• Decode — 9× in this paper · explained in 2 episodes
• Intrinsic Dimension — 9× in this paper · explained in 2 episodes
• Accuracy — 7× in this paper · explained in 1 episode
• Fidelity — 7× in this paper · explained in 2 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Downstream Tasks — 3× in this paper · explained in 2 episodes
• Embeddings — 3× in this paper · explained in 2 episodes
• Anisotropy — 2× in this paper · explained in 3 episodes
• Parsimony — 2× in this paper · explained in 2 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Generative Model — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Optimal Transport — 1× in this paper · explained in 5 episodes
• Pairwise Comparisons — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• G-VAE, a Geometric Convolutional VAE for ProteinStructure Generation
• Autoencoder-based non-intrusive model order reduction in continuum mechanics
• Isometric Autoencoders
• Statistical Shape Analysis of Shape Graphs with Applications to Retinal Blood-Vessel Networks
• Elastic Shape Analysis of Tree-like 3D Objects using Extended SRVF Representation
• Decoder ensembling for learned latent geometries
• On Geometry Regularization in Autoencoder Reduced-Order Models with Latent Neural ODE Dynamics

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