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| Paper: |
Hybrid minimization algorithm for computationally expensive multi-dimensional fitting |
| Volume: |
535, Astronomical Data Analysis Software and Systems XXXI |
| Page: |
373 |
| Authors: |
Rubtsov, E.; Chlingarian, I.; Katkov, I.; Grishin, K.; Goradzhanov, V.; Borisov, S. |
| Abstract: |
Multi-dimensional optimization is widely used in virtually all areas of modern astrophysics. However, it is often too computationally expensive to evaluate a model on-the-fly. Typically, it is solved by pre-computing a grid of models for a predetermined set of positions in the parameter space and then interpolating. Here we present a hybrid minimization approach based on the local quadratic approximation of the χ2 profile from a discrete set of models in a multidimensional parameter space. The main idea of our approach is to eliminate the interpolation of models from the process of finding the best-fitting solution. We present several examples of applications of our minimization technique to the analysis of stellar and extragalactic spectra. |
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