Yauheni Talochka, Gennady Ososkov, Nikolay Voytishin
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引用次数: 0
Abstract
An enhanced Kolmogorov-Arnold Network (KAN) compatible with the Adam optimizer is developed and applied to the deconvolution problem of multi-Gaussian signals and the fitting problem of the 3D distribution of the magnetic field in the BM@N (Baryonic Matter at Nuclotron) spectrometer of the Nuclotron-based Ion Collider fAcilit (NICA). Stable training dynamics and rapid convergence with the Adam algorithm, closely matching those of the computationally intensive LBFGS method, are achieved by implementing activation functions as a superposition of asymmetric super-Gaussian components and initializing their weights close to zero. The proposed KANs exhibit high accuracy () in the deconvolution of overlapping Gaussian signals with an unknown number of components as well as in the modeling of complex magnetic field geometries.
期刊介绍:
The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper.
Computer Programs in Physics (CPiP)
These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged.
Computational Physics Papers (CP)
These are research papers in, but are not limited to, the following themes across computational physics and related disciplines.
mathematical and numerical methods and algorithms;
computational models including those associated with the design, control and analysis of experiments; and
algebraic computation.
Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.