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Optimized Parameters for McClain Correlation in GlennICE
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MgB2 Coating Parameter Optimization Using a 1.3-GHz 1-Cell Cavity
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SWAT Parameter Optimization of the Magnetic Center Measurement of Scorpius Accelerator Region Solenoids
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Necessary conditions for discrete parameter stochastic optimization problems
Discrete parameter stochastic optimization problems necessary conditions, deriving maximum principle
Necessary conditions for continuous parameter stochastic optimization problems
Continuous parameter stochastic optimization principle using abstract variational theory
Optimization of ''ephemeridal'' parameters for minimum propellant requirements on multiplanet roundtrip swingby-stopover missions.
Ephemeridal parameter optimization for minimum propellant requirements for round trip swingby- stopover multiplanet mission
Optimal estimation in the presence of unknown parameters.
Optimal estimation of sampled stochastic process with finite state unknown parameters
Uncertainty quantification and optimization of precipitating hydrometeor parameters for winter precipitation in a cloud microphysics scheme
The precipitating hydrometeor parameters used in cloud microphysics schemes carry inherent uncertainties. The quantification of these uncertainties, together with parameter optimization, can significantly improve precipitation forecasts. This study investigates the effects of 13 parameters in the Weather Research and Forecasting (WRF) Double-Moment 6-class (WDM6) microphysics scheme, which define the hydrometeor characteristics such as fall velocity–diameter and mass–diameter relationships, as well as the shape parameter of the drop size distribution for precipitating particles such as rain, snow, and graupel on simulated winter precipitation. A comparison between the model's pre-defined parameters and observations from the International Collaborative Experiments for the PyeongChang 2018 Olympic and Paralympic winter games (ICE-POP 2018) field campaign reveals that the fall velocity–diameter relationship for rain, the mass–diameter relationships for snow and graupel, and the shape parameters for all precipitating particles in the WDM6 scheme deviate from the median values observed by the two-dimensional video disdrometer (2DVD). To quantify parameter sensitivities, a perturbed parameter ensemble (PPE) of 256 simulations was conducted within parameter ranges constrained by 2DVD observations for three winter precipitation cases. Bayesian optimization was then applied to identify parameter sets that minimized the root mean square error (RMSE) for each case, achieving reductions of up to 30.2 %. These results demonstrate that ensemble-based uncertainty quantification and parameter optimization can help identify key parameters and provide a pathway to improving precipitation simulation performance. In addition, measurement sites can be strategically selected based on regions that show high sensitivity to variations in hydrometeor characteristic parameters.
Optimal control of plants with random slowly- varying parameters.
Optimal control of plants with random slowly varying parameters having known probability density function
Optimal control of plants with random slowly-varying parameters
Optimal control of plants with random slowly varying parameters
Parametric study of critical constraints for a canard configured medium range transport using conceptual design optimization
Constrained parameter optimization was used to perform optimal conceptual design of both canard and conventional configurations of a medium range transport. A number of design constants and design constraints were systematically varied to compare the sensitivities of canard and conventional configurations to a variety of technology assumptions. Main landing gear location and horizontal stabilizer high-lift performance were identified as critical design parameters for a statically stable, subsonic canard transport.
Optimal adaptive filter realizations for sampled stochastic processes with an unknown parameter
Optimal adaptive filter for sampled stochastic processes with unknown parameter
Stability boundary and optimal operating parameter identification in milling using Bayesian learning
Here, this paper describes a novel Bayesian learning approach for stability boundary and optimal parameter identification in milling without the knowledge of the underlying tool dynamics or material cutting force coefficients. The paper is divided into two parts. First, a Bayesian learning method for stability lobe identification using test results is described. Each axial depth and spindle speed combination is characterized by a probability of stability which is updated using Bayes’ rule when a test result (stable or unstable) is made available. A novel likelihood function is defined which incorporates knowledge of the stability behavior. Numerical results show convergence to the analytical stability lobe diagram. Second, an adaptive experimental strategy to identify optimal operating parameters that maximize material removal rate is described. Numerical evaluation shows convergence to the optimal operating point with error less than 15 % within ten tests on average. The approach is validated using experimental results. Results show that the proposed method is an efficient and robust learning method to identify the stability lobe diagram and optimal operating parameters with a limited number of tests/data points.
End-to-end protocol for high-quality quantum approximate optimization algorithm parameters with few shots
The quantum approximate optimization algorithm (QAOA) is a quantum heuristic for combinatorial optimization that has been demonstrated to scale better than state-of-the-art classical solvers for some problems. For a given problem instance, QAOA performance depends crucially on the choice of the parameters. While average-case optimal parameters are available in many cases, meaningful performance gains can be obtained by fine-tuning these parameters for a given instance. This task is especially challenging, however, when the number of circuit executions (shots) is limited. In this work, we develop an end-to-end protocol that combines multiple parameter settings and fine-tuning techniques. We use large-scale numerical experiments to optimize the protocol for the shot-limited setting and observe that optimizers with the simplest internal model (linear) perform best. We implement the optimized pipeline on a trapped-ion processor using up to 32 qubits and 5 QAOA layers, and we demonstrate that the pipeline is robust to small amounts of hardware noise. To the best of our knowledge, these are the largest demonstrations of QAOA parameter fine-tuning on a trapped-ion processor in terms of two-qubit gate count.
Necessary conditions for discrete parameter stochastic optimization problems
Necessary conditions for discrete parameter stochastic optimization problems
Optimal design procedures for two-level fractional factorial experiments given partial prior information about parameters
Optimal design procedure as experimental design finite decision problem, using Bayes and minimax techniques