Improved maximum entropy analysis with an extended search space

@article{Rothkopf2013ImprovedME,
  title={Improved maximum entropy analysis with an extended search space},
  author={A. Rothkopf},
  journal={J. Comput. Phys.},
  year={2013},
  volume={238},
  pages={106-114}
}
  • A. Rothkopf
  • Published 2013
  • Mathematics, Computer Science, Physics
  • J. Comput. Phys.
The standard implementation of the Maximum Entropy Method (MEM) follows Bryan [1] and deploys a Singular Value Decomposition (SVD) to limit the dimensionality of the underlying solution space apriori. Here we present arguments based on the shape of the SVD basis functions and numerical evidence from a mock data analysis, which show that the correct Bayesian solution is not in general recovered with this approach. As a remedy we propose to extend the search basis systematically, which will… Expand
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  • 2
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References

SHOWING 1-10 OF 23 REFERENCES
Maximum entropy analysis of oversampled data problems
  • R. Bryan
  • Chemistry
  • European Biophysics Journal
  • 2006
  • 171
  • Highly Influential
Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
  • 455
  • PDF
Complex heavy-quark potential at finite temperature from lattice QCD.
  • 129
  • PDF
and Y
  • Nakahara, Prog.Part.Nucl.Phys. 46, 459
  • 2001
and S
  • Sasaki, Phys.Rev.Lett. 108, 162001
  • 2012
ExtMEM (Maximum Entropy Method with an extended search space) (2011), source code and manual available at http://www.scicode.org/ExtMEM, URL http:// www.scicode.org/ExtMEM
  • 2011
Annals Phys
  • 322, 1949
  • 2007
...
1
2
3
...