Differentiable Programming for Differential Equations: A Review

F Sapienza, J Bolibar, F Schäfer, B Groenke… - arXiv preprint arXiv …, 2024 - arxiv.org
The differentiable programming paradigm is a cornerstone of modern scientific computing. It
refers to numerical methods for computing the gradient of a numerical model's output. Many …

Probabilistic Parameter Estimators and Calibration Metrics for Pose Estimation from Image Features

R Valentin, SM Katz, J Lee, D Walker… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper addresses the challenge of probabilistic parameter estimation given
measurement uncertainty in real-time. We provide a general formulation and apply this to …

Dynamical patterns in active-passive particle mixtures with non-reciprocal interactions: Exact hydrodynamic analysis

J Mason, RL Jack, M Bruna - arXiv preprint arXiv:2408.03932, 2024 - arxiv.org
The formation of dynamical patterns is one of the most striking features of non-equilibrium
physical systems. Recent work has shown that such patterns arise generically from forces …

Neutron-star seismology with realistic, finite-temperature nuclear matter

F Gittins, N Andersson - arXiv preprint arXiv:2406.05177, 2024 - arxiv.org
The oscillation spectrum of a neutron star is notably rich and intrinsically dependent on the
equation of state of nuclear matter. With recent advancements in gravitational-wave and …

DuctAPE: A Steady-State, Axisymmetric Ducted Fan Analysis Code Designed for Gradient-Based Optimization

J Mehr, A Ning - AIAA AVIATION FORUM AND ASCEND 2024, 2024 - arc.aiaa.org
Electric ducted fans have become an intriguing option for the propulsion systems of clean,
quiet advanced air mobility technologies due to their potential benefits in both aerodynamic …