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NIFTy 3 – Numerical Information Field Theory: A Python Framework for Multicomponent Signal Inference on HPC Clusters
Authors:Theo Steininger  Jait Dixit  Philipp Frank  Maksim Greiner  Sebastian Hutschenreuter  Jakob Knollmüller  Reimar Leike  Natalia Porqueres  Daniel Pumpe  Martin Reinecke  Matev &#x;raml  Csongor Varady  Torsten Enßlin
Institution:Theo Steininger,Jait Dixit,Philipp Frank,Maksim Greiner,Sebastian Hutschenreuter,Jakob Knollmüller,Reimar Leike,Natalia Porqueres,Daniel Pumpe,Martin Reinecke,Matev? ?raml,Csongor Varady,Torsten Enßlin
Abstract:NIFTy , “Numerical Information Field Theory,” is a software framework designed to ease the development and implementation of field inference algorithms. Field equations are formulated independently of the underlying spatial geometry allowing the user to focus on the algorithmic design. Under the hood, NIFTy ensures that the discretization of the implemented equations is consistent. This enables the user to prototype an algorithm rapidly in 1D and then apply it to high‐dimensional real‐world problems. This paper introduces NIFTy  3, a major upgrade to the original NIFTy  framework. NIFTy  3 allows the user to run inference algorithms on massively parallel high performance computing clusters without changing the implementation of the field equations. It supports n‐dimensional Cartesian spaces, spherical spaces, power spaces, and product spaces as well as transforms to their harmonic counterparts. Furthermore, NIFTy  3 is able to handle non‐scalar fields, such as vector or tensor fields. The functionality and performance of the software package is demonstrated with example code, which implements a mock inference inspired by a real‐world algorithm from the realm of information field theory. NIFTy  3 is open‐source software available under the GNU General Public License v3 (GPL‐3) at https://gitlab.mpcdf.mpg.de/ift/NIFTy/tree/NIFTy_3 .
Keywords:Bayes' theorem  field theory  imaging  information theory  inverse problems  numerics  probability theory
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