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Mixture of partially linear experts
May 7, 2024, 4:47 a.m. | Yeongsan Hwang, Byungtae Seo, Sangkon Oh
stat.ML updates on arXiv.org arxiv.org
Abstract: 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. …
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