The graph-based representation of material
structures, along with deep neural network models, often lacks locality and
requires large datasets, which are seldom available in specialized materials
research. To address this challenge, we developed a more data-efficient center−environment
(CE) structure representation that incorporates a predefined attention-focused
mechanism. This approach was applied in a machine learning (ML) study to
examine the local alloying effects on the structural stability of Nb alloys. In
the CE feature model, the atomic environment type (AET) method was utilized,
which effectively describes the low-symmetry physical shell structures of
neighboring atoms. The optimized ML-CEAET models successfully
predicted double-site substitution energies in Nb with a mean absolute error of
55.37 meV and identified Si−M pairs (where M = Ta, W, Re, and lanthanide
rare-earth elements) as promising stabilizers for Nb. The ML-CEAET model’s good transferability was further confirmed through accurate prediction
of untrained alloying element Nb. Significantly, in cases involving small
datasets, non-deep learning models with CE features outperformed deep learning
models based on graph features reported in the literature.
Yu-chao TANG, Bin XIAO, Jian-hui CHEN, Shui-zhou CHEN, Yi-hang LI, Fu LIU, Wan DU, Yi-heng SHEN, Xue FAN, Quan QIAN, Yi LIU
. Machine learning with center−environment attention mechanism for
multi-component Nb alloys[J]. Transactions of Nonferrous Metals Society of China, 2025
, 35(11)
: 3813
-3823
.
DOI: 10.1016/S1003-6326(25)66914-7