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Uncovering dissipation from coarse observables: A case study of a random walk with unobserved internal states.
J Chem Phys
January 2025
Department of Chemistry and Oden Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, Texas 78712, USA.
Inferring underlying microscopic dynamics from low-dimensional experimental signals is a central problem in physics, chemistry, and biology. As a trade-off between molecular complexity and the low-dimensional nature of experimental data, mesoscopic descriptions such as the Markovian master equation are commonly used. The states in such descriptions usually include multiple microscopic states, and the ensuing coarse-grained dynamics are generally non-Markovian.
View Article and Find Full Text PDFBarriers to transition to resource-oriented sanitation in rural Ethiopia.
Environ Sci Pollut Res Int
January 2025
Department of Environmental Health Sciences and Technology, Institute of Health, Jimma University, Jimma, Ethiopia.
Recycling excreta resources through resource-oriented toilet systems (ROTS) holds transformative potential, yet adoption remains limited, especially where benefits could be high. This study aims to understand constraints hindering the adoption of ROTS in one such area in Ethiopia. Based on a survey among 476 households comprising 2393 individuals, we examine the plans to use ROTS and willingness to pay for ROTS and apply structural equation modelling to analyze the drivers of these two outcomes while comparing the explanative power of the extended technology acceptance model, extended theory of planned behaviour, and their combined model.
View Article and Find Full Text PDFConvergence analysis of deep Ritz method with over-parameterization.
Neural Netw
January 2025
Wuhan University, National Center for Applied Mathematics in Hubei, Wuhan, 430072, Asia, China; Wuhan University, Wuhan Institute for Math & AI, Wuhan, 430072, Asia, China; Wuhan University, School of Mathematics and Statistics, Wuhan, 430072, Asia, China; Wuhan University, Hubei Key Laboratory of Computational Science, Wuhan, 430072, Asia, China. Electronic address:
The deep Ritz method (DRM) has recently been shown to be a simple and effective method for solving PDEs. However, the numerical analysis of DRM is still incomplete, especially why over-parameterized DRM works remains unknown. This paper presents the first convergence analysis of the over-parameterized DRM for second-order elliptic equations with Robin boundary conditions.
View Article and Find Full Text PDFSelecting Initial Conditions for Trajectory-Based Nonadiabatic Simulations.
Acc Chem Res
January 2025
Centre for Computational Chemistry, School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom.
ConspectusPhotochemical reactions have always been the source of a great deal of mystery. While classified as a type of chemical reaction, no doubts are allowed that the general tenets of ground-state chemistry do not directly apply to photochemical reactions. For a typical chemical reaction, understanding the critical points of the ground-state potential (free) energy surface and embedding them in a thermodynamics framework is often enough to infer reaction yields or characteristic time scales.
View Article and Find Full Text PDFHigh-resolution hemodynamic estimation from ultrafast ultrasound image velocimetry using a physics-informed neural network.
Phys Med Biol
January 2025
The Key Laboratory of Biomedical Information Engineering of Ministry of Education, Department of Biomedical Engineering, School of life Science and Technology, Xi'an Jiaotong University, Xi'an, People's Republic of China.
Estimating the high-resolution (HR) blood flow velocity and pressure fields for the diagnosis and treatment of vascular diseases remains challenging.. In this study, a physics-informed neural network (PINN) with a refined mapping capability was combined with ultrafast ultrasound image velocimetry (u-UIV) to predict HR hemodynamic parameters.
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