  In the mixture of experts model, a common assumption is the linearity between
a response variable and covariates. While this assumption has theoretical and
computational benefits, it may lead to suboptimal estimates by overlooking
potential nonlinear relationships among the variables. To address this
limitation, we propose a partially linear structure that incorporates
unspecified functions to capture nonlinear relationships. We establish the
identifiability of the proposed model under mild conditions and introduce a
practical estimation algorithm. We present the performance of our approach
through numerical studies, including simulations and real data analysis.
