Random walk on sphere packings and Delaunay triangulations in arbitrary dimension
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We prove that random walks on a family of tilings of d$d$‐dimensional Euclidean space, with a canonical choice of conductances, converge to Brownian motion modulo time parameterization. This class of tilings includes Delaunay triangulations (the dual of Voronoi tessellations) and sphere packings.
Ahmed Bou‐Rabee, Ewain Gwynne
wiley +1 more source
An augmented GSNMF model for complete deconvolution of bulk RNA-seq data. [PDF]
Math Biosci EngLi S +4 more
europepmc +1 more source
A Stochastic Method of Moving Asymptotes for Topology Optimization Under Uncertainty
International Journal for Numerical Methods in Engineering, Volume 126, Issue 16, 30 August 2025.ABSTRACT Topology optimization under uncertainty or reliability‐based topology optimization is usually numerically very expensive. This is mainly due to the fact that an accurate evaluation of the probabilistic model requires the system to be simulated for a large number of varying parameters.
Lukas Pflug +2 more
wiley +1 more source
MIDAA: deep archetypal analysis for interpretable multi-omic data integration based on biological principles. [PDF]
Genome BiolMilite S, Caravagna G, Sottoriva A.
europepmc +1 more source
The Geodetic Response to Magma Thermal Modulation During Drilling
Geophysical Research Letters, Volume 52, Issue 16, 28 August 2025.Abstract We report surface displacements and gravity changes triggered by thermal modulation of shallow‐seated (∼ ${\sim} $2 km depth) silicic magma lenses during drilling. 2D plane strain models predict ground subsidence of up to 20 cm and net gravity increases of up to 82 μ $\mu $Gal from the thermal contraction of a thin (0.01 aspect ratio) sheet ...
J. Gottsmann, Y. Lavallée
wiley +1 more source
A Total Lagrangian Stochastic Finite Element Method for Hyperelastic Analysis With Uncertainties
International Journal for Numerical Methods in Engineering, Volume 126, Issue 15, 15 August 2025.ABSTRACT This article presents a total Lagrangian stochastic finite element method to solve hyperelastic problems with uncertainties. Similar to deterministic hyperelastic analysis, prescribed external forces or boundary values are applied through a series of load steps.
Zhibao Zheng, Udo Nackenhorst
wiley +1 more source
Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics. [PDF]
Comput MechRisthaus L, Schneider M.
europepmc +1 more source
Unilateral incentive alignment in two-agent stochastic games. [PDF]
Proc Natl Acad Sci U S AMcAvoy A +7 more
europepmc +1 more source
Closing the ODE-SDE gap in score-based diffusion models through the Fokker-Planck equation. [PDF]
Philos Trans A Math Phys Eng SciDeveney T +4 more
europepmc +1 more source