Association of hypoglycemia problem-solving abilities with severe hypoglycemia in adults with type 1 diabetes: a Poisson regression analysis

Sakane, Seiko; Kato, Ken; Hata, Sonyun; Nishimura, Erika; Araki, Rika; kouyama, Kunichi; Hatao, Masako; Matoba, Yuka; Matsushita, Yuichi; Domichi, Masayuki; Suganuma, Akiko; Murata, Takashi; Wu, Fei Ling; Sakane, Naoki

doi:10.1007/s13340-024-00733-6

Diabetol Int

2024

DOI: 10.1007/s13340-024-00733-6

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Association of hypoglycemia problem-solving abilities with severe hypoglycemia in adults with type 1 diabetes: a Poisson regression analysis

Seiko Sakane,

Ken Kato,

Sonyun Hata

et al.

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Intrinsic Functional Partially Linear Poisson Regression Model for Count Data

Xu,

Lu,

et al. 2024

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Poisson regression is a statistical method specifically designed for analyzing count data. Considering the case where the functional and vector-valued covariates exhibit a linear relationship with the log-transformed Poisson mean, while the covariates in complex domains act as nonlinear random effects, an intrinsic functional partially linear Poisson regression model is proposed. This model flexibly integrates predictors from different spaces, including functional covariates, vector-valued covariates, and other non-Euclidean covariates taking values in complex domains. A truncation scheme is applied to approximate the functional covariates, and the random effects related to non-Euclidean covariates are modeled based on the reproducing kernel method. A quasi-Newton iterative algorithm is employed to optimize the parameters of the proposed model. Furthermore, to capture the intrinsic geometric structure of the covariates in complex domains, the heat kernel is employed as the kernel function, estimated via Brownian motion simulations. Both simulation studies and real data analysis demonstrate that the proposed method offers significant advantages over the classical Poisson regression model.

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Intrinsic Functional Partially Linear Poisson Regression Model for Count Data

Xu,

Lu,

et al. 2024

Axioms

View full text Add to dashboard Cite

show abstract

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Association of hypoglycemia problem-solving abilities with severe hypoglycemia in adults with type 1 diabetes: a Poisson regression analysis

Cited by 1 publication

References 39 publications

Intrinsic Functional Partially Linear Poisson Regression Model for Count Data

Intrinsic Functional Partially Linear Poisson Regression Model for Count Data

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