Residual subspace evolution strategies for nonlinear inverse problems

arXiv — cs.LGFriday, December 12, 2025 at 5:00:00 AM
  • A new approach called residual subspace evolution strategies (RSES) has been introduced to tackle nonlinear inverse problems, which often suffer from issues like noisy evaluations and the unreliability of Jacobian-based solvers. RSES operates without forming Jacobians or covariances, utilizing Gaussian probes to build a residual-only surrogate for optimal updates with significantly reduced evaluation costs.
  • This development is significant as it enhances the efficiency and stability of solving nonlinear inverse problems, which are prevalent in various fields such as machine learning and optimization. By minimizing the reliance on traditional methods that assume smoothness, RSES offers a more robust alternative for practitioners facing complex evaluation scenarios.
  • The introduction of RSES aligns with ongoing advancements in optimization techniques, particularly those that seek to improve computational efficiency in high-dimensional spaces. This trend reflects a broader movement towards derivative-free optimization methods, which are gaining traction in various applications, including Bayesian inversion and robotic perception, highlighting the need for innovative solutions in the face of increasing data complexity.
— via World Pulse Now AI Editorial System

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