Unlabelled: The selection of smoothing parameter is central to the estimation of penalized splines. The best value of the smoothing parameter is often the one that optimizes a smoothness selection criterion, such as generalized cross-validation error (GCV) and restricted likelihood (REML). To correctly identify the global optimum rather than being trapped in an undesired local optimum, grid search is recommended for optimization. Unfortunately, the grid search method requires a pre-specified search interval that contains the unknown global optimum, yet no guideline is available for providing this interval. As a result, practitioners have to find it by trial and error. To overcome such difficulty, we develop novel algorithms to automatically find this interval. Our automatic search interval has four advantages. (i) It specifies a smoothing parameter range where the associated penalized least squares problem is numerically solvable. (ii) It is criterion-independent so that different criteria, such as GCV and REML, can be explored on the same parameter range. (iii) It is sufficiently wide to contain the global optimum of any criterion, so that for example, the global minimum of GCV and the global maximum of REML can both be identified. (iv) It is computationally cheap compared with the grid search itself, carrying no extra computational burden in practice. Our method is ready to use through our recently developed package ( version 1.1). It may be embedded in more advanced statistical modeling methods that rely on penalized splines.
Supplementary Information: The online version contains supplementary material available at 10.1007/s11222-022-10178-z.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9672641 | PMC |
| http://dx.doi.org/10.1007/s11222-022-10178-z | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
The predictive value of triglyceride-glucose-high density lipoprotein-body mass index (TGH-BMI) for different degrees of hepatic steatosis and liver fibrosis in metabolic dysfunction-associated steatotic liver disease (MASLD).
Clin Nutr ESPEN
January 2025
Department of The Health Management Center, The First Affiliated Hospital of USTC: Anhui Provincial Hospital, Hefei 230001, Anhui, China. Electronic address:
Background & Aims: The triglyceride-glucose index (TyG) and triglyceride-glucose body mass index (TyG-BMI) have been identified as potential predictive factors for metabolic dysfunction-associated steatotic liver disease (MASLD). However, they do not include high density lipoprotein (HDL-C), which is closely related to lipid metabolism. Furthermore, there is a lack of comprehensive and longitudinal data to determine the cut-off points for different degrees of hepatic steatosis and liver fibrosis in MASLD.
View Article and Find Full Text PDFApathy in Alzheimer's disease: Eye movements characteristics and neurostructural basis.
J Affect Disord
January 2025
Department of Neurology, Beijing Tiantan Hospital, Capital Medical University, Beijing, China; Center for Cognitive Neurology, Department of Neurology, Beijing Tiantan Hospital, Capital Medical University, Beijing, China; China National Clinical Research Center for Neurological Diseases, Beijing Tiantan Hospital, Capital Medical University, Beijing, China. Electronic address:
Background: We sought to evaluate the characteristics of eye movements in Alzheimer's disease (AD) patients with apathy (AD-A) and their ability to identify AD-A and explore the shared neurostructure of eye movements and apathy.
Methods: Total 32 normal controls, 36 AD-A and 72 AD with no apathy (AD-NA) patients were recruited. Parameters of smooth pursuit, fixation, prosaccade and antisaccade were compared among the three groups.
Gentisic acid protects Sprague-Dawley rats from myocardial infarction through reversing electrocardiographical, biochemical and histopathological abnormalities.
Biochem Biophys Res Commun
January 2025
Cardiovascular Research Group, Department of Pharmacy, COMSATS University Islamabad, Abbottabad Campus, University Road, Tobe Camp, Abbottabad, 22060, KPK, Pakistan. Electronic address:
Gentisic acid (GA), a cytochrome P450 metabolite of the antiplatelet drug aspirin, exhibits smooth muscle relaxant, antiatherogenic, and antioxidant activities. It also has a protective role in hypertrophic heart failure, suggesting its role in the management of myocardial infarction (MI). This study aimed to explore the protective activity of GA in isoproterenol (ISO)-induced MI in Sprague-Dawley (SD) rats in-vivo, followed by mechanistic investigation ex-vivo.
View Article and Find Full Text PDFInfluence of Initial Gap, Voltage, and Additives on Zinc Microcolumn Morphology by Local Electrochemical Deposition.
Sensors (Basel)
January 2025
State Key Laboratory of High Performance Complex Manufacturing, Changsha 410083, China.
Local electrochemical deposition (LECD) is an innovative additive manufacturing technology capable of achieving precise deposition of metallic microstructures. This study delves into the ramifications of pivotal operational parameters-namely, the initial electrode gap, deposition voltage, and additive concentration-on the morphology of zinc microcolumns fabricated through LECD. A holistic approach integrating experimental methodologies with finite element simulations was adopted to scrutinize the influence of these variables on the microcolumns' dimensions, surface morphology, and structural integrity.
View Article and Find Full Text PDFSteam Generator Maintenance Robot Design and Obstacle Avoidance Path Planning.
Sensors (Basel)
January 2025
College of Resource Environmental and Safety Engineering, University of South China, Hengyang 421001, China.
To solve the issue of inconvenient and dangerous manual operation during the installation and removal of the main pipe plugging plate in the steam generator in nuclear power plants, a ten-degree-of-freedom plugging robot was designed in the present study that includes a collaborative robotic arm coupled with a servo electric cylinder. By establishing a joint coordinate system for the robot model, a D-H parameter model for the plate plugging robot was established, and the forward and inverse kinematics were solved. The volume level approximate convex decomposition algorithm was used to fit the steam generator model with a convex packet, and an experimental simulation platform was constructed.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!