arXiv Open Access 2025

Group Symmetry Enables Faster Optimization in Inverse Problems

Junqi Tang Guixian Xu

Lihat Sumber

Abstrak

We prove for the first time that, if a linear inverse problem exhibits a group symmetry structure, gradient-based optimizers can be designed to exploit this structure for faster convergence rates. This theoretical finding demonstrates the existence of a special class of structure-adaptive optimization algorithms which are tailored for symmetry-structured inverse problems such as CT/MRI/PET, compressed sensing, and image processing applications such as inpainting/deconvolution, etc.

Topik & Kata Kunci

math.OC

Penulis (2)

Junqi Tang

Guixian Xu

Format Sitasi

APA MLA BibTeX

Tang, J., Xu, G. (2025). Group Symmetry Enables Faster Optimization in Inverse Problems. https://arxiv.org/abs/2505.13223

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓