output
20002026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

3.4k citations

1,728 papers

nlin.SI2026

Pole Dynamics, Linearization, and Perturbations of the Satsuma--Mimura Equation

Yan Lingjuan, Hu Xingbiao, Liu Yajie +1

This paper investigates the pole dynamics and perturbation theory of algebraic soliton solutions associated with the Satsuma--Mimura (SM) equation. First, we give a qualitative ana…

cs.LG2026

CSympNet-ID: conformal-symplectic map learning for linearly damped Hamiltonian systems

Jiale Gong, Pengzhan Jin, Dongyang Kuang +2

Learning dissipative dynamics from discrete observations is essential for reliable long-horizon prediction and physically meaningful parameter identification. For linearly damped H…

cs.CV2026

Sinkhorn-CPD: Robust point cloud registration via unbalanced entropic optimal transport

Jin Zhang, Mingyang Zhao, Bing Liu +1

Coherent Point Drift (CPD) is widely used for rigid point cloud registration because of its soft correspondences and closed-form parameter updates. However, CPD's target-side margi…

cs.CV2026

A Dual-domain Refinement Network with FBP-based Jacobian Learning for Sparse-view Dual-Energy CT Material Decomposition

Qian Liu, Xiaohong Fan, Ke Chen +3

Dual-energy CT (DECT) exploits attenuation differences across different X-ray spectra to provide richer material information and has been widely used in medical imaging. While spar…

gr-qc2026

Shadows and photon spheres of static black holes embedded in a Dehnen-(1,4,5/2)-type dark matter halo with a quintessential field

Hong-Er Gong, Junlin Qin, Yusen Wang +4

This paper investigates the appearance characteristics of static black holes embedded in Dehnen-(1,4,5/2)-type dark matter halos with a quintessential field, focusing on how the da…

cs.CV2026

CasLayout: Cascaded 3D Layout Diffusion for Indoor Scene Synthesis with Implicit Relation Modeling

Yingrui Wu, Youkang Kong, Mingyang Zhao +3

Synthesizing realistic 3D indoor scenes remains challenging due to data scarcity and the difficulty of simultaneously enforcing global architectural constraints and local semantic…