The radial basis function (RBF) approach is applied in predicting nuclear masses for 8 widely used nuclear mass models, ranging from macroscopic-microscopic to microscopic types. A significantly improved accuracy in computing nuclear masses is obtained, and the corresponding rms deviations with respect to the known masses is reduced by up to 78%. Moreover, strong correlations are found between a target nucleus and the reference nuclei within about three unit in distance, which play critical roles in improving nuclear mass predictions. Based on the latest Weizs\"{a}cker-Skyrme mass model, the RBF approach can achieve an accuracy comparable with the extrapolation method used in atomic mass evaluation. In addition, the necessity of new high-precision experimental data to improve the mass predictions with the RBF approach is emphasized as well.Comment: 18 pages, 8 figure

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We study the quantum entropy and entanglement of the 2D isotropic harmonic oscillators in noncommutative phase space. We propose a definition of quantum Rényi entropy by the Wigner functions in noncommutative phase space. Using the Rényi entropy, we calculate the entanglement entropy of the ground state of the harmonic oscillators. We find that the 2D isotropic harmonic oscillators can be entangled in noncommutative phase space. This is an entanglement-like effect caused by the noncommutativity of the phase space. We also study the Tsallis entropy of the harmonic oscillators in noncommutative phase space.