In this article,we study the existence and non-existence of weak solutions to the following quasilinear elliptic problem with principal part having degenerate coercivity and nonlinear term involving gradie,{-div(|∇u|p...In this article,we study the existence and non-existence of weak solutions to the following quasilinear elliptic problem with principal part having degenerate coercivity and nonlinear term involving gradie,{-div(|∇u|p−2∇u/(1+|u|)θ(p−1))+|u|p−2u|∇u|p/(1+|u|)θp=μ,x∈Ω,u=0,x∈■ΩwhereΩ■R^(N)(N≥3)is a bounded smooth domain,1,μis a Radon measure.展开更多
Mining rich semantic information hidden in heterogeneous information network is one of the important tasks of data mining. Generally, a nuclear medicine text consists of the description of disease (<i>i.e.</i...Mining rich semantic information hidden in heterogeneous information network is one of the important tasks of data mining. Generally, a nuclear medicine text consists of the description of disease (<i>i.e.</i>, lesions) and diagnostic results. However, how to construct a computer-aided diagnostic model with a large number of medical texts is a challenging task. To automatically diagnose diseases with SPECT imaging, in this work, we create a knowledge-based diagnostic model by exploring the association between a disease and its properties. Firstly, an overview of nuclear medicine and data mining is presented. Second, the method of preprocessing textual nuclear medicine diagnostic reports is proposed. Last, the created diagnostic modes based on random forest and SVM are proposed. Experimental evaluation conducted real-world data of diagnostic reports of SPECT imaging demonstrates that our diagnostic models are workable and effective to automatically identify diseases with textual diagnostic reports.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11761059)Program for Yong Talent of State Ethnic Affairs Commission of China(Grant No.XBMU-2019-AB-34)+2 种基金Fundamental Research Funds for the Central Universities(Grant No.31920200036)Innovation Team Project of Northwest Minzu University(Grant No.1110130131)First-rate Discipline of Northwest Minzu University(Grant No.2019XJYLZY-02)。
文摘In this article,we study the existence and non-existence of weak solutions to the following quasilinear elliptic problem with principal part having degenerate coercivity and nonlinear term involving gradie,{-div(|∇u|p−2∇u/(1+|u|)θ(p−1))+|u|p−2u|∇u|p/(1+|u|)θp=μ,x∈Ω,u=0,x∈■ΩwhereΩ■R^(N)(N≥3)is a bounded smooth domain,1,μis a Radon measure.
文摘Mining rich semantic information hidden in heterogeneous information network is one of the important tasks of data mining. Generally, a nuclear medicine text consists of the description of disease (<i>i.e.</i>, lesions) and diagnostic results. However, how to construct a computer-aided diagnostic model with a large number of medical texts is a challenging task. To automatically diagnose diseases with SPECT imaging, in this work, we create a knowledge-based diagnostic model by exploring the association between a disease and its properties. Firstly, an overview of nuclear medicine and data mining is presented. Second, the method of preprocessing textual nuclear medicine diagnostic reports is proposed. Last, the created diagnostic modes based on random forest and SVM are proposed. Experimental evaluation conducted real-world data of diagnostic reports of SPECT imaging demonstrates that our diagnostic models are workable and effective to automatically identify diseases with textual diagnostic reports.
