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Fast and Reliable Parameter Estimation from Nonlinear Observations [article]

Samet Oymak, Mahdi Soltanolkotabi
2016 arXiv   pre-print
In this paper we study the problem of recovering a structured but unknown parameter θ^* from n nonlinear observations of the form y_i=f(〈x_i,θ^*〉) for i=1,2,...,n.  ...  We develop a framework for characterizing time-data tradeoffs for a variety of parameter estimation algorithms when the nonlinear function f is unknown.  ...  Our first result shows that projected gradient descent allows for fast and reliable parameter estimation from nonlinear observations. Theorem 3.1 Let f ∶ R → R be an unknown nonlinear function.  ... 
arXiv:1610.07108v1 fatcat:7yqolk6rprggnlgd4pdxrm5ehq

Fast and Reliable Parameter Estimation from Nonlinear Observations

Samet Oymak, Mahdi Soltanolkotabi
2017 SIAM Journal on Optimization  
In this paper we study the problem of recovering a structured but unknown parameter θ * from n nonlinear observations of the form y i = f (⟨x i , θ * ⟩) for i = 1, 2, . . . , n.  ...  We develop a framework for characterizing time-data tradeoffs for a variety of parameter estimation algorithms when the nonlinear function f is unknown.  ...  Our first result shows that projected gradient descent allows for fast and reliable parameter estimation from nonlinear observations. Theorem 3.1 Let f ∶ R → R be an unknown nonlinear function.  ... 
doi:10.1137/17m1113874 fatcat:hvo6phouc5g3hdw5ih5rifxvve

Integrated Direct/Indirect Adaptive Robust Posture Trajectory Tracking Control of a Parallel Manipulator Driven by Pneumatic Muscles

Xiaocong Zhu, Guoliang Tao, Bin Yao, Jian Cao
2009 IEEE Transactions on Control Systems Technology  
To address these problems, in this paper, an indirect type parameter estimation is used to obtain reliable estimates of effective model parameters for reducing the parametric uncertainties while an integrated  ...  Considering that the conventional parameter estimation algorithm based on single error minimizing criterion normally fails to provide reliable parameter estimation for the parallel manipulator with symmetric  ...  Thus, the reliable and optimal estimates of effective model parameters are obtained to decrease the parametric uncertainties in (19) and achieve small tracking errors consequently.  ... 
doi:10.1109/tcst.2008.2001715 fatcat:eafkhgd3mbfc7jn7qkfjjh5gke

A Generalized Cross Validation Method for the Inverse Problem of 3-D Maxwell's Equation

Liang Ding, Bo Han, Jiaqi Liu
2010 Mathematical and Computational Applications  
The Generalized Cross Validation is used to estimate the global regularization parameter and the damped Gauss-Newton is applied to impose local regularization.  ...  The inverse problem of estimation of the electrical conductivity in the Maxwell's equation is considered, which is reformulated as a nonlinear equation.  ...  intense task for the following reasons. (1)It requires a fast, accurate and reliable forward 3-D problem solution.  ... 
doi:10.3390/mca15050784 fatcat:nq6kmnq5wzcu3ni4fbeilm7pni

Comparison of Different Kalman Filters for Tracking Nonlinear Transmission Torques

Geir Hovland
2004 IFAC Proceedings Volumes  
This paper presents parameter estimation of physical time-varying parameters for a mechanical system with a nonlinear gear-box transmission torque.  ...  The second and third filters are recent (2000 and 2001) developments of unscented versions of the Kalman filter.  ...  TRUST INDICATORS When it comes to applications of parameter estimation algorithms a crucial issue is to be able to assess the quality and/or reliability of the estimates.  ... 
doi:10.1016/s1474-6670(17)31147-3 fatcat:ievawf7e3rgspp2yrit4vv6i6a

Fault Detection, Isolation, Estimation, and Accommodation of Dynamic Systems

Ke Zhang, Peng Shi, Vincent Cocquempot, Bin Jiang
2015 Mathematical Problems in Engineering  
Fault detection, isolation, estimation, and accommodation of dynamic systems play important roles to improve system reliability and stability.  ...  In a paper entitled "Sensor Fault Tolerant Control of a Fast Steering Mirror System Using Adaptive PI-Based Sliding Mode Observer and Hardware Redundancy, " H.  ...  Acknowledgments We would like to thank the authors for their excellent contributions and patience in assisting us.  ... 
doi:10.1155/2015/798563 fatcat:rxobhmbhcfcydhqc44nnhb7mfm

Parameter Estimation for Fault Diagnosis in Nonlinear Systems by ANFIS

B. Bellali, A. Hazzab, I.K. Bousserhane, D. Lefebvre
2012 Procedia Engineering  
and based on parameterizations related to each class of fault.  ...  The proposed solution provides a framework to detect, isolate, and estimate various faults in system components, using Adaptive Fuzzy Inference Systems Parameter Estimators (ANFISPEs) that are designed  ...  Consequently, in fault diagnosis and estimation of this component faults inferential physical parameters observer is a very effective tool to detect the malfunction of nonlinear satellite's ACS.  ... 
doi:10.1016/j.proeng.2012.01.254 fatcat:xpfm2yz4vvhavouzwbadgvzbqq

Wind Turbine Model and Observer in Takagi-Sugeno Model Structure

Sören Georg, Matthias Müller, Horst Schulte
2014 Journal of Physics, Conference Series  
Based on a reduced-order, dynamic nonlinear wind turbine model in Takagi-Sugeno (TS) model structure, a TS state observer is designed as a disturbance observer to estimate the unknown effective wind speed  ...  The observer is tested in simulations with the aero-elastic code FAST for the NREL 5 MW reference turbine, where it shows a stable behaviour both for IEC wind gusts and turbulent wind input.  ...  This observer is intended as a module for a fault-tolerant control scheme for wind turbines, where a reliable wind speed estimate is important, both as an input signal for fault-detection and isolation  ... 
doi:10.1088/1742-6596/555/1/012042 fatcat:l3yc2uoc4rg6rlrf5nfl5xkrju

Page 692 of American Society of Civil Engineers. Collected Journals Vol. 127, Issue 8 [page]

2001 American Society of Civil Engineers. Collected Journals  
The method has fast convergence and yields un- biased estimates of the parameters irrespective of their starting values.  ...  The low values of SEE and BIAS for data on all the observation wells show that the parameters estimated using the present method are reliable.  ... 

Fast and slow errors: Logistic regression to identify patterns in accuracy–response time relationships

Leendert van Maanen, Dimitris Katsimpokis, A. Dilene van Campen
2018 Behavior Research Methods  
First we evaluate the parametric robustness of the logistic regression CAF through parameter recovery.  ...  Here we present a novel way of analyzing accuracy-RT relationships on the basis of nonlinear logistic regression, to handle these problematic aspects of RT binning.  ...  reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.  ... 
doi:10.3758/s13428-018-1110-z pmid:30187434 fatcat:gj4iplcef5ardklcucukb7z5py

Modeling of Nonlinear Physiological Systems with Fast and Slow Dynamics. II. Application to Cerebral Autoregulation

G. D. Mitsis, R. Zhang, B. D. Levine, V. Z. Marmarelis
2002 Annals of Biomedical Engineering  
Results are presented in the time and frequency domains and reveal that cerebral autoregulation is a nonlinear and dynamic ͑frequency-dependent͒ system with considerable nonstationarities.  ...  Dynamic autoregulation of cerebral hemodynamics in healthy humans is studied using the novel methodology of the Laguerre-Volterra network for systems with fast and slow dynamics ͑Mitsis, G.  ...  The slow dynamics were reliably estimated in the first-order ͑linear͒ and second-order ͑nonlinear͒ kernels, indicating that cerebral autoregulation has a longer memory ͑i.e., duration of causal effects  ... 
doi:10.1114/1.1477448 pmid:12086006 fatcat:imw4sqwwkrej5pz6afiz2mvfky

Nonlinearities of an Aircraft Piccolo Tube: Identification and Modeling [chapter]

T. Dossogne, P. Trillet, M. Schoukens, B. Bernay, J. P. Noël, G. Kerschen
2018 Model Validation and Uncertainty Quantification, Volume 3  
The complete identification procedure, from nonlinearity detection and characterization to parameter estimation, is carried out based upon sine-sweep measurements.  ...  In particular, the parameters of nonsmooth nonlinear stiffness and damping mechanisms are estimated. The nonlinear model is finally validated on standard qualification tests for airborne equipments.  ...  Dossogne and J.P. Noël are Research Fellow (FRIA fellowship) and Postdoctoral Researcher, respectively, of the Fonds de la Recherche Scientifique -FNRS which is gratefully acknowledged. The author M.  ... 
doi:10.1007/978-3-319-74793-4_8 fatcat:k5rvh5noijeu5ab6crohwpm3my

Seismic fluid identification using a nonlinear elastic impedance inversion method based on a fast Markov chain Monte Carlo method

Guang-Zhi Zhang, Xin-Peng Pan, Zhen-Zhen Li, Chang-Lu Sun, Xing-Yao Yin
2015 Petroleum Science  
The nonlinear elastic impedance inversion method based on a fast Markov chain Monte Carlo (MCMC) method is proposed in this paper, combining conventional MCMC method based on global optimization with a  ...  The test data verify the feasibility and robustness of the method, and based on this method, we extract the effective pore-fluid bulk modulus, which is applied to reservoir fluid identification and detection  ...  Acknowledgments We would like to express our gratitude to the sponsorship of the National Basic Research Program of China (973 Program, 2013CB228604, 2014CB239201) and the National Oil and Gas Major Projects  ... 
doi:10.1007/s12182-015-0046-5 fatcat:z56piq2gfbcivfjb6ej33xpvie

A Comparative Study of Information-Based Source Number Estimation Methods and Experimental Validations on Mechanical Systems

Wei Cheng, Zhousuo Zhang, Hongrui Cao, Zhengjia He, Guanwen Zhu
2014 Sensors  
and nonlinear modulation mixing case.  ...  This paper investigates one eigenvalue decomposition-based source number estimation method, and three information-based source number estimation methods, namely the Akaike Information Criterion (AIC),  ...  The inconsistent results confuse us seriously but The fast ICA algorithm [6, 31] is applied to source separation from the given six mixed signals, and the parameter of the source number is given an  ... 
doi:10.3390/s140507625 pmid:24776935 pmcid:PMC4062998 fatcat:oc2oovddxzaubfe3gkwql263iy

Optimal control methods for nonlinear parameter estimation in biophysical neuron models [article]

Nirag Kadakia
2022 bioRxiv   pre-print
We illustrate our approach both in a canonical chaotic model and in a phenomenological neuron model, showing that many unknown parameters can be uncovered reliably and accurately from short and noisy observed  ...  Our methods are tailored particularly to situations with considerable measurement noise, sparse observability, very nonlinear or chaotic dynamics, and highly uninformed priors.  ...  Acknowledgments We thank Paul Rozdeba for helpful discussions, and Viraaj Jayaram and Gustavo Madeira Santana for a careful reading of the manuscript.  ... 
doi:10.1101/2022.01.11.475951 fatcat:ryvzs523cfbszcrmdzfwp4pgcy
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