{"ID":2841792,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.11415","arxiv_id":"2511.11415","title":"Differentiation Strategies for Acoustic Inverse Problems: Admittance Estimation and Shape Optimization","abstract":"We demonstrate a practical differentiable programming approach for acoustic inverse problems through two applications: admittance estimation and shape optimization for resonance damping. First, we show that JAX-FEM's automatic differentiation (AD) enables direct gradient-based estimation of complex boundary admittance from sparse pressure measurements, achieving 3-digit precision without requiring manual derivation of adjoint equations. Second, we apply randomized finite differences to acoustic shape optimization, combining JAX-FEM for forward simulation with PyTorch3D for mesh manipulation through AD. By separating physics-driven boundary optimization from geometry-driven interior mesh adaptation, we achieve 48.1% energy reduction at target frequencies with 30-fold fewer FEM solutions compared to standard finite difference on the full mesh. This work showcases how modern differentiable software stacks enable rapid prototyping of optimization workflows for physics-based inverse problems, with automatic differentiation for parameter estimation and a combination of finite differences and AD for geometric design.","short_abstract":"We demonstrate a practical differentiable programming approach for acoustic inverse problems through two applications: admittance estimation and shape optimization for resonance damping. First, we show that JAX-FEM's automatic differentiation (AD) enables direct gradient-based estimation of complex boundary admittance...","url_abs":"https://arxiv.org/abs/2511.11415","url_pdf":"https://arxiv.org/pdf/2511.11415v1","authors":"[\"Nikolas Borrel-Jensen\",\"Josiah Bjorgaard\"]","published":"2025-11-14T15:46:05Z","proceeding":"cs.LG","tasks":"[\"cs.LG\",\"cs.CE\",\"physics.comp-ph\"]","methods":"[]","has_code":false}