Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems

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Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
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  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds SIAM Journal on Optimization
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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10.1007/BF01582221
10.1214/10-BA603
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space SIAM Journal on Scientific Computing
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
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Citations
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A greedy sensor selection algorithm for hyperparameterized linear Bayesian inverse problems with correlated noise models Journal of Computational Physics
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Domain-decomposed Bayesian inversion based on local Karhunen-Loève expansions Journal of Computational Physics
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A MCMC method based on surrogate model and Gaussian process parameterization for infinite Bayesian PDE inversion Journal of Computational Physics
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Deep Importance Sampling Using Tensor Trains with Application to a Priori and a Posteriori Rare Events SIAM Journal on Scientific Computing
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Citations Analysis
Category Category Repetition
Science: Mathematics88
Technology: Engineering (General). Civil engineering (General)51
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods40
Science: Mathematics: Instruments and machines: Electronic computers. Computer science35
Science: Physics26
Technology: Mechanical engineering and machinery25
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics18
Science: Geology16
Technology: Hydraulic engineering: River, lake, and water-supply engineering (General)11
Technology: Environmental technology. Sanitary engineering11
Science: Biology (General): Ecology9
Geography. Anthropology. Recreation: Environmental sciences8
Science: Science (General)6
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics6
Science5
Science: Mathematics: Probabilities. Mathematical statistics5
Medicine: Medicine (General): Medical technology4
Science: Biology (General)4
Science: Chemistry: Organic chemistry: Biochemistry3
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks3
Medicine3
Medicine: Medicine (General): Medical physics. Medical radiology. Nuclear medicine3
Science: Physics: Heat: Thermodynamics3
Science: Mathematics: Instruments and machines2
Science: Chemistry: Analytical chemistry2
Technology: Photography2
Medicine: Medicine (General)2
Technology: Motor vehicles. Aeronautics. Astronautics2
Social Sciences: Industries. Land use. Labor: Special industries and trades: Energy industries. Energy policy. Fuel trade2
Science: Physics: Acoustics. Sound2
Science: Physics: Optics. Light2
Technology: Chemical technology: Chemical engineering2
Science: Chemistry2
Medicine: Medicine (General): Computer applications to medicine. Medical informatics2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Science: Physiology1
Technology: Engineering (General). Civil engineering (General): Environmental engineering1
Science: Physics: Geophysics. Cosmic physics1
Technology1
Technology: Chemical technology1
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials1
Technology: Mechanical engineering and machinery: Renewable energy sources1
Technology: Technology (General): Industrial engineering. Management engineering: Information technology1
Technology: Manufactures: Production management. Operations management1
Technology: Technology (General): Industrial engineering. Management engineering1
Geography. Anthropology. Recreation1
Science: Science (General): Cybernetics: Information theory1
Geography. Anthropology. Recreation: Geography (General)1
The category Science: Mathematics 88 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Comments on: A general science-based framework for dynamical spatio-temporal models and was published in 2010. The most recent citation comes from a 2024 study titled A MCMC method based on surrogate model and Gaussian process parameterization for infinite Bayesian PDE inversion. This article reached its peak citation in 2020, with 16 citations. It has been cited in 84 different journals, 8% of which are open access. Among related journals, the SIAM Journal on Scientific Computing cited this research the most, with 16 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year