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[Submitted on 1 Apr 2024 (v1), last revised 17 Jan 2025 (this version, v2)] View a PDF of the paper titled FireANTs: Adaptive Riemannian Optimization for Multi-Scale Diffeomorphic Matching, by Rohit Jena and 2 other authors View PDF HTML (experimental) Abstract:The paper proposes FireANTs, the first multi-scale Adaptive Riemannian Optimization algorithm for dense diffeomorphic image matching. One of the most critical and understudied aspects of diffeomorphic image matching algorithms are its highly ill-conditioned nature. We quantitatively capture the extent of ill-conditioning in a typical MRI matching task, motivating the need for an adaptive optimization algorithm for diffeomorphic matching. To this…