SELECT selects annotation voxels using feature-variance ranking, Monte Carlo dropout uncertainty, and a class-balance entropy criterion, and reports mIoU gains over prior active learning baselines on three LiDAR benchmarks.
Melnikov Method for Perturbed Completely Integrable Systems
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abstract
We consider a completely integrable system of differential equations in arbitrary dimensions whose phase space contains an open set foliated by periodic orbits. This research analyzes the persistence and stability of the periodic orbits under a nonlinear periodic perturbation. For this purpose, we use the Melnikov method and Floquet theory to establish conditions for the existence and stability of periodic orbits. Our approach considers periods of the unperturbed orbits depending on the integrals and constant periods. In the applications, we deal with both cases. Precisely, we study the existence of periodic orbits in a perturbed generalized Euler system. In the degenerate case, we analyze the existence and stability of periodic orbits for a perturbed harmonic oscillator.
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SELECT: A Submodular Approach for Active LiDAR Semantic Segmentation
SELECT selects annotation voxels using feature-variance ranking, Monte Carlo dropout uncertainty, and a class-balance entropy criterion, and reports mIoU gains over prior active learning baselines on three LiDAR benchmarks.