Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/83990
Type: | Conference paper |
Title: | A robust Gauss-Newton algorithm and its application to the calibration of conceptual rainfall-runoff hydrological model |
Author: | Qin, Y. Kuczera, G. Kavetski, D. |
Citation: | Proceedings of 35th IAHR World Congress 2013, 2013 / W. Zhaoyin, J. H.-W. Lee, G. Jizhang, C. Shuyou (eds.): pp.1-10 |
Publisher: | Tsinghua University Press Beijing |
Publisher Place: | China |
Issue Date: | 2013 |
Conference Name: | IAHR World Congress (2013 : Chengdu, China) |
Statement of Responsibility: | Youwei Qin, George Kuczera, Dmitri Kavetski |
Abstract: | Parameter estimation remains an ongoing challenge in hydrological modeling for a number of reasons. One severe challenge is that of numerically rough objective function surfaces characterized by discontinuities and pitting. This prevents the use of efficient gradient-based methods which converge prematurely. This has motivated development of probabilistic gradient-free search methods such as SCE-UA (shuffled complex evolution method developed at The University of Arizona), which although robust require substantially greater function evaluations. This paper introduces a robust Gauss-Newton method which can robustly search over rough objective function surfaces. It introduces a curve fitting strategy, an inexact line search and box constraints. The filtering technique is used to smooth the Jacobian matrix; the inexact line search method provides a self-adaptive method to update the scaling used in the filter; the box constraint minimizes the influence of a poor quadratic approximation where the Hessian matrix is near singular. The robust Gauss-Newton algorithm converges very rapidly in the vicinity of the global optimum. A case study involving conceptual hydrological models demonstrates the performance of the robust Gauss-Newton algorithm by comparing function evaluations and convergence success rate against the SCE-UA method in an exhaustive set of trials. The efficiency of the algorithm is measured by the number of function evaluations. The results show an improvement in efficiency more than 75% compared to the SCE-UA algorithm with comparable accuracy. |
Keywords: | Robust Gauss-Newton algorithm SCE model calibration Snow model SIMHYD model |
Rights: | © 2013 Tsinghua University Press, Beijing |
Description (link): | http://www.iahr2013.org/ |
Published version: | http://www.iahr2013.org/proceedings.html |
Appears in Collections: | Aurora harvest 4 Civil and Environmental Engineering publications |
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