NIFTY  Numerical Information Field Theory. A versatile PYTHON library for signal inference
Abstract
NIFTy (Numerical Information Field Theory) is a software package designed to enable the development of signal inference algorithms that operate regardless of the underlying spatial grid and its resolution. Its objectoriented framework is written in Python, although it accesses libraries written in Cython, C++, and C for efficiency. NIFTy offers a toolkit that abstracts discretized representations of continuous spaces, fields in these spaces, and operators acting on fields into classes. Thereby, the correct normalization of operations on fields is taken care of automatically without concerning the user. This allows for an abstract formulation and programming of inference algorithms, including those derived within information field theory. Thus, NIFTy permits its user to rapidly prototype algorithms in 1D, and then apply the developed code in higherdimensional settings of real world problems. The set of spaces on which NIFTy operates comprises point sets, ndimensional regular grids, spherical spaces, their harmonic counterparts, and product spaces constructed as combinations of those. The functionality and diversity of the package is demonstrated by a Wiener filter code example that successfully runs without modification regardless of the space on which the inference problem is defined.
NIFTy homepage http://www.mpagarching.mpg.de/ift/nifty/; Excerpts of this paper are part of the NIFTy source code and documentation.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 June 2013
 DOI:
 10.1051/00046361/201321236
 arXiv:
 arXiv:1301.4499
 Bibcode:
 2013A&A...554A..26S
 Keywords:

 methods: data analysis;
 methods: numerical;
 methods: statistical;
 techniques: image processing;
 Astrophysics  Instrumentation and Methods for Astrophysics;
 Computer Science  Information Theory;
 Computer Science  Mathematical Software;
 Mathematical Physics;
 Physics  Data Analysis;
 Statistics and Probability;
 Statistics  Computation
 EPrint:
 9 pages, 3 tables, 4 figures, accepted by Astronomy &