This section explores the intersection where physics meets data analysis, a rapidly evolving frontier where complex datasets reveal hidden patterns in the universe. From tracking particle collisions to modeling cosmic structures, these studies rely on advanced statistical methods to turn raw numbers into fundamental insights about how reality works.

Gist.Science monitors every new preprint in this category as it appears on arXiv, ensuring you never miss a breakthrough. We process each entry to provide both plain-language overviews for general understanding and detailed technical summaries for experts, bridging the gap between dense research and clear comprehension.

Below are the latest papers in physics and data analysis, organized for easy reading and discovery.

Estimating density, velocity, and pressure fields in supersonic flow using physics-informed BOS

This paper introduces a novel physics-informed background-oriented schlieren (BOS) workflow that utilizes physics-informed neural networks to simultaneously reconstruct accurate density, velocity, and pressure fields in supersonic flows by integrating measurement data with governing Euler and irrotationality equations, thereby overcoming the limitations of conventional methods and achieving the first PINN-based reconstruction of supersonic flow from experimental data.

Joseph P. Molnar, Lakshmi Venkatakrishnan, Bryan E. Schmidt, Timothy A. Sipkens, Samuel J. Grauer2026-03-31🔬 physics

Stochastic particle advection velocimetry (SPAV): theory, simulations, and proof-of-concept experiments

This paper introduces Stochastic Particle Advection Velocimetry (SPAV), a novel framework utilizing a statistical data loss and physics-informed neural networks to significantly improve the accuracy of particle tracking velocimetry by explicitly modeling particle advection and accounting for localization uncertainties, thereby reducing reconstruction errors by approximately 50% in both simulated and experimental fluid flow measurements.

Ke Zhou, Jiaqi Li, Jiarong Hong, Samuel J. Grauer2026-03-31🔬 physics

Neural optical flow for planar and stereo PIV

This paper introduces Neural Optical Flow (NOF), a continuous neural-implicit framework that enhances the accuracy, robustness, and data compression of particle image velocimetry (PIV) by integrating differentiable image warping, physical constraints like Navier-Stokes residuals, and tailored network expressivity to enable advanced analysis of both planar and stereo flows.

Andrew I. Masker, Ke Zhou, Joseph P. Molnar, Samuel J. Grauer2026-03-31🔬 physics

Bayesian estimation of optical constants using mixtures of Gaussian process experts

This paper proposes a Bayesian framework using mixtures of Gaussian process experts to flexibly model absorption spectra, statistically integrate Kramers-Kronig relations with error-aware anchoring, and automatically select measurement points for robustly estimating the complex refractive index of materials like gallium arsenide, potassium chloride, and transparent wood.

Teemu Härkönen, Hui Chen, Erik Vartiainen2026-03-30📊 stat