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Quantum Mechanics
arXiv (Cornell University)
Adaptive Gaussian Process Regression for Bayesian inverse problems
2024
We introduce a novel adaptive Gaussian Process Regression (GPR) methodology for efficient construction of surrogate models for Bayesian inverse problems with expensive forward model evaluations. An adaptive design strategy focuses on optimizing both the posit…
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Quantum Mechanics

Description of physical properties at the atomic and subatomic scale

Quantum mechanics is the fundamental physical theory that describes the behavior of matter and of light; its unusual characteristics typically occur at and below the scale of atoms. It is the foundation of all quantum physics , which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science.

Quantum mechanics can describe many systems that classical physics cannot. Classical physics can describe many aspects of nature at an ordinary (macroscopic and (optical) microscopic) scale, but is not sufficient for describing them at very small submicroscopic (atomic and subatomic) scales. Classical mechanics can be derived from quantum mechanics as an approximation that is valid at ordinary scales.

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arXiv (Cornell University)
Adaptive Gaussian Process Regression for Bayesian inverse problems
2024
We introduce a novel adaptive Gaussian Process Regression (GPR) methodology for efficient construction of surrogate models for Bayesian inverse problems with expensive forward model evaluations. An adaptive design strategy focuses on optimizing both the positioning and simulation accuracy of training data in order to reduce the computational cost of simulating training data without compromising the fidelity of the posterior distributions of parameters. The method interleaves a goal-oriented active learning algorit…
Click Quantum Mechanics Vs:
Kriging
Computer Science
Process (Computing)
Mathematics
Gaussian Function
Statistics
Artificial Intelligence
Machine Learning
Physics
Click Quantum Mechanics Vs:
Mathematical Analysis
Geometry