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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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3 results for “statFEM”

Low-rank statistical finite elements for scalable model-data synthesisstat.ME

StatFEM uses low-rank approximations to scale Bayesian statFEM for high-dimensional problems.

problem Model misspecification and scalability in high-dimensional physical systems.

method Low-rank approximation of covariance matrix, Bayesian filtering, sparse data reconstruction.

result Reconstructs sparsely observed data-generating processes with minimal loss of information.

statFEM Bayesian statistical learning finite elements scalability

2021-09-10abs ↗pdf ↗

Stochastic PDE representation of random fields for large-scale Gaussian process regression and statistical finite element analysismath.NA

A new method uses SPDEs to efficiently model random fields on complex domains.

problem Efficient representation of random fields on complex domains for engineering and machine learning.

method Uses SPDEs to develop a scalable framework for statFEM and GP regression.

result Can model anisotropic, non-stationary random fields with arbitrary smoothness.

SPDEs statFEM GP regression random fields finite element

2023-05-23abs ↗pdf ↗

Statistical Finite Elements via Langevin Dynamicsstat.CO

Statistical finite elements use Langevin dynamics to efficiently handle uncertainty quantification.

problem Uncertainty quantification in finite element models with observed data.

method Langevin dynamics, unadjusted Langevin algorithm (ULA), for sampling posterior distributions.

result ULA provides a scalable and efficient method for characterizing the posterior distribution of statFEM models.

statistical finite elements uncertainty quantification Langevin dynamics Markov chain Monte Carlo finite element models

2021-10-21abs ↗pdf ↗