4 papers
Robust Sparse Identification of Nonlinear Dynamics via Least Trimmed Squares
Fabio Amaral, Geovani N. Grapiglia, Cassio M. Oishi
In this work, we propose a robust Sparse Identification of Nonlinear Dynamics (SINDy) pipeline for handling datasets corrupted by noise and outliers. The method decouples outlier f…
Prediction of Viscoelastic Droplet Impact Dynamics Using a Vision Transformer-Based Approach
Diego A. de Aguiar, Cassio M. Oishi
Droplet impact on solid surfaces is a complex fluid dynamics problem with applications in spray cooling, inkjet printing, and pharmaceutical processing. Although numerical simulati…
From STLS to Projection-based Dictionary Selection in Sparse Regression for System Identification
Hangjun Cho, Fabio V. G. Amaral, Andrei A. Klishin +2
In this work, we revisit dictionary-based sparse regression, in particular, Sequential Threshold Least Squares (STLS), and propose a score-guided library selection to provide pract…
CS-SHRED: Enhancing SHRED for Robust Recovery of Spatiotemporal Dynamics
Romulo B. da Silva, Diego Passos, Cássio M. Oishi +1
We present CS-SHRED, a novel deep learning architecture that integrates Compressed Sensing (CS) into a Shallow Recurrent Decoder (SHRED) to reconstruct spatiotemporal dynamics from…