Risk factors affecting polygenic score performance across diverse cohorts by Daniel Hui, Scott Dudek, Krzysztof Kiryluk, Theresa L Walunas, Iftikhar J Kullo, Wei-Qi Wei, Hemant Tiwari, Josh F Peterson, Wendy K Chung, Brittney H Davis, Atlas Khan, Leah C Kottyan, Nita A Limdi, Qiping Feng, Megan J Puckelwartz, Chunhua Weng, Johanna L Smith, Elizabeth W Karlson, Regeneron Genetics Center, Penn Medicine BioBank, Gail P Jarvik, Marylyn D Ritchie

“…Given significant and replicable evidence for context-specific PGSBMI performance and effects, we investigated ways to increase model performance taking into account nonlinear effects. Machine learning models (neural networks) increased relative model R2 (mean 23%) across datasets. …”
Get full text

Attentional dysfunction arises from right frontocentral and occipital network connectivity in Parkinson's disease by Isobel Timothea French, Kuo-Hsuan Chang, Wei-Kuang Liang, Wen-Sheng Chang, Yen-Shi Lo, Yi-Ru Wang, Mei-Ling Cheng, Norden E. Huang, Hsiu-Chuan Wu, Siew-Na Lim, Chiung-Mei Chen, Chi-Hung Juan

“…Methods: The novel HHSA was applied to uncover nonlinear features of the Flanker task EEG and to analyse connectivity using phase-amplitude cross-frequency coupling. …”
Get full text

Exploring the impact of APOE ɛ4 on functional connectivity in Alzheimer’s disease across cognitive impairment levels by Kangli Dong, Wei Liang, Ting Hou, Zhijie Lu, Yixuan Hao, Chenrui Li, Yue Qiu, Nan Kong, Yan Cheng, Yaqi Wen, Wanyin Ma, Wenbin Zheng, Jitian Guan, Yan Lin, Kai Huang, Lu Zhang, Siya Chen, Xiangyuan Ma, Renhua Wu, Naili Wei

“…Importantly, the GNN-Explainer method was introduced as an enhancement over the NBS method to better model complex high-order nonlinear characteristics for discovering FC features that significantly contribute to classification tasks. …”
Get full text

Association between PM2.5 components and poor ovarian response in assisted reproductive technology patients: A retrospective cohort study identifying sensitive exposure windows in... by Rui-Ling Liu, Zhi-Lei Xu, Yu-Ling Hu, Xing-Yu Lv, Quan-Zi Yao, Jia-Liang He, Li-Juan Fu, Li-Hong Geng, Tong Wang, Zhao-Hui Zhong, Yi-Jian Zhu, Yu-Bin Ding

“…The distributed lag nonlinear model (DLNM) analysis revealed the lagged effects of PM2.5 component exposure, particularly during lag weeks 2–5, where exposure was significantly associated with the occurrence of POR. …”
Get full text

Association of tea consumption with all-cause/cardiovascular disease mortality in the chronic kidney disease population: an assessment of participation in the national cohort by Jin Li, Xing-Ling Chen, Xiao-Lu Ou-Yang, Xiao-Jiao Zhang, Yue Li, Shu-Ning Sun, Ling-Jun Wang, Zhong-Qi Yang, Shi-Hao Ni, Lu Lu

“…Cox and restricted cubic spline regression was used to examine the linear or nonlinear association of tea consumption with mortality. …”
Get full text

Identification of quantitative trait loci and candidate genes associated with growth curve parameters in chinese wenshang barred chickens by Yan Zhou, Jie Liu, Qiuxia Lei, Haixia Han, Wei Liu, Dapeng Li, Yan Sun, Dan Hao, Fuwei Li, Dingguo Cao, Jie Wang

“…This study performed a genome-wide association study (GWAS) for growth curve parameters generated by nonlinear models which fit original weight-age records, to discover the SNPs and candidate genes correlated with growth traits. …”
Get full text

Long-term exposure to PM2.5 and its constituents and visual impairment in schoolchildren: A population-based survey in Guangdong province, China by Jia-Hui Li, Hui-Xian Zeng, Jing Wei, Qi-Zhen Wu, Shuang-Jian Qin, Qing-Guo Zeng, Bin Zhao, Guang-Hui Dong, Ji-Chuan Shen, Xiao-Wen Zeng

“…Results: The observed associations typically displayed a nonlinear pattern. Compared to the lowest quartile of PM2.5 and its constituents, the fourth quartile was associated with higher odds of visual impairment in schoolchildren (e.g., the adjusted odds ratio (OR) was 1.23 (95% CI: 1.13, 1.33) for PM2.5, 1.53 (95% CI: 1.40, 1.67) for OM, and 1.35 (95% CI: 1.27, 1.44) for BC), respectively. …”
Get full text

Impact of Addition of a Newtonian Solvent to a Giesekus Fluid: Analytical Determination of Flow Rate in Plane Laminar Motion by Irene Daprà, Giambattista Scarpi, Vittorio Di Federico

“…The pressure field is nonlinear due to the presence of the normal transverse stress component. …”
Get full text

Assessment of platelet-to-white blood cell ratio on short-term mortality events in patients hospitalized with acute decompensated heart failure: evidence from a cohort study from J... by Xin Huang, Xin Huang, Xin Huang, Xin Huang, Maobin Kuang, Maobin Kuang, Maobin Kuang, Maobin Kuang, Jiajun Qiu, Jiajun Qiu, Jiajun Qiu, Jiajun Qiu, Chao Wang, Chao Wang, Chao Wang, Chao Wang, Guotai Sheng, Guotai Sheng, Yang Zou, Guobo Xie

“…Restricted cubic spline regression demonstrated an L-shaped association between PWR and 30-day mortality risk (p for nonlinear = 0.038). Further threshold analysis revealed a threshold point for PWR at 15.88, where a decrease in PWR below this threshold was significantly associated with increased risk of all-cause mortality (p for log-likelihood ratio test = 0.046). …”
Get full text

Association between short-term exposure to air pollutants and daily stroke incidence among residents in Qingdao city: a time series analysis of disease surveillance, environmental,... by Nan GE, Lu PAN, Xin ZHANG, Dandan LI, Yin WANG, Jingya YIN, Hui ZHOU, Haoyan YU, Xiuqin ZHANG, Chunsheng XU, Yuan FANG, Yan MA, Bingling WANG, Haiping DUAN

“…The distributed Lag nonlinear model (DLNM) was used to analyze the associations between daily mean concentrations of particulate matter with an aerodynamic diameter of less than 2.5 mum (PM2.5), particulate matter with an aerodynamic diameter of less than 10 mum (PM10), carbon monoxide (CO), ozone (O3), sulfur dioxide (SO2), and nitrogen dioxide (NO2) with daily stroke incidence, while controlling for the effects of potential confounders such as long-term trend and day of the week in Qingdao city. …”
Get full text

Triglyceride-glucose-body mass index and the incidence of cardiovascular diseases: a meta-analysis of cohort studies by Xiyun Rao, Ziyi Xin, Qingwen Yu, Lanlan Feng, Yongmin Shi, Ting Tang, Xuhan Tong, Siqi Hu, Yao You, Shenghui Zhang, Jiake Tang, Xingwei Zhang, Mingwei Wang, Ling Liu

“…Robust error meta-regression was used to fit the nonlinear dose–response relationship. Statistical analysis was performed using Review Manager 5.4 and STATA 18.0. …”
Get full text

Estimates for the green function and existence of positive solutions for higher-order elliptic equations

“…Next, we aim at proving the existence of positive continuous solutions for the following polyharmonic nonlinear problems <mml:math alttext="$(-Delta )^{pm}u=h(cdot,u)$"> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mo>&#8722;</mml:mo> <mml:mi>&#8710;</mml:mi> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>p</mml:mi> <mml:mi>m</mml:mi> </mml:mrow> </mml:msup> <mml:mi>u</mml:mi> <mml:mo>=</mml:mo> <mml:mi>h</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mo>&#8231;</mml:mo> <mml:mo>,</mml:mo> <mml:mi>u</mml:mi> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:math>, in <mml:math alttext="$D$"> <mml:mi>D</mml:mi> </mml:math> (in the sense of distributions), <mml:math alttext="$lim_{|x| ightarrow 1} ((-Delta)^{km}u(x)/(1-|x|)^{m-1})=0$"> <mml:msub> <mml:mtext>lim</mml:mtext> <mml:mrow> <mml:mrow> <mml:mo>|</mml:mo> <mml:mi>x</mml:mi> <mml:mo>|</mml:mo> </mml:mrow> <mml:mo>&#8594;</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mrow> <mml:mrow> <mml:msup> <mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mo>&#8722;</mml:mo> <mml:mi>&#8710;</mml:mi> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:mrow> <mml:mi>k</mml:mi> <mml:mi>m</mml:mi> </mml:mrow> </mml:msup> <mml:mi>u</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:mo>/</mml:mo> <mml:mrow> <mml:msup> <mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>&#8722;</mml:mo> <mml:mrow> <mml:mo>|</mml:mo> <mml:mi>x</mml:mi> <mml:mo>|</mml:mo> </mml:mrow> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>&#8722;</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:mrow> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:math>, for <mml:math alttext=" $0leq kleq p-1$"> <mml:mn>0</mml:mn> <mml:mo>&#8804;</mml:mo> <mml:mi>k</mml:mi> <mml:mo>&#8804;</mml:mo> <mml:mi>p</mml:mi> <mml:mo>&#8722;</mml:mo> <mml:mn>1</mml:mn> </mml:math>, where <mml:math alttext="$D=B$"> <mml:mi>D</mml:mi> <mml:mo>=</mml:mo> <mml:mi>B</mml:mi> </mml:math> or <mml:math alttext="$Backslash {0}$"> <mml:mi>B</mml:mi> <mml:mo></mml:mo> <mml:mrow> <mml:mo>{</mml:mo> <mml:mn>0</mml:mn> <mml:mo>}</mml:mo> </mml:mrow> </mml:math> and <mml:math alttext="$h$"> <mml:mi>h</mml:mi> </mml:math> is a Borel measurable function on <mml:math alttext="$Dimes (0,infty )$"> <mml:mi>D</mml:mi> <mml:mo>×</mml:mo> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>&#8734;</mml:mi> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> satisfying some appropriate conditions related to <mml:math alttext="$mathcal{J}_{m,n}^{(p)}$"> <mml:msubsup> <mml:mi>&#119973;</mml:mi> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>,</mml:mo> <mml:mi>n</mml:mi> </mml:mrow> <mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:msubsup> </mml:math>.…”
Get full text

Development and validation of an explainable machine learning model for mortality prediction among patients with infected pancreatic necrosisResearch in context by Caihong Ning, Hui Ouyang, Jie Xiao, Di Wu, Zefang Sun, Baiqi Liu, Dingcheng Shen, Xiaoyue Hong, Chiayan Lin, Jiarong Li, Lu Chen, Shuai Zhu, Xinying Li, Fada Xia, Gengwen Huang

“…Furthermore, SHAP algorithm revealed insightful nonlinear interactive associations between important predictors and mortality, identifying 9 features pairs with high interaction SHAP value and clinical significance. …”
Get full text

Designing a Forecasting Model and Evaluating the Strategic Cooperation between the Banking System and Fintech Startups using the Adaptive Neural Fuzzy Inference System (ANFIS) by Arash Onsori, Abbas Khamseh, Taghi Torabi, Hamid Reza Yazdani

“…Neuro-adaptive fuzzy inference system (ANFIS) was employed for inference rule design using MATLAB.ANFIS, a blend of fuzzy inference and neural networks, was chosen for its capacity for nonlinear problem-solving. The model's accuracy surpasses regression, aligning with reality for precise forecasting (Azar & Faraji, 2017). …”
Get full text

Linearity Analysis of Source-Degenerated Differential Pairs for Wireline Applications by Kunal Yadav, Ping-Hsuan Hsieh, Anthony Chan Carusone

“…This paper presents a comprehensive analysis of nonlinearities in differential pairs with source degeneration and their impact on wireline communication applications. …”
Get full text

Existence Results for a Perturbed Problem Involving Fractional Laplacians by Yan Hu

“…Besides, existence results are obtained by variational methods for s∈(1/2,1) and for more general nonlinearities. While the case s≤1/2 remains open.…”
Get full text

Air Gauge Characteristics Linearity Improvement by Cz. J. Jermak, M. Jakubowicz, J. Dereżyński, M. Rucki

“…As a result, the nonlinearity is reduced from 5% down to 1% and even below.…”
Get full text

Human Simulated Intelligent Control with Double-Direction Dead-Zone Compensation for Joint Motion Control of a Large-Sized Boom System by Rongsheng Liu, Yingjie Gao, Yulin Yang, Yanlong Liu

“…It has been considered difficult due to strong nonlinearities and parametric uncertainties, the effect of which increases with the size of booms. …”
Get full text

Cryptanalysis of hyperchaotic S-box generation and image encryption by Mohammad Mazyad Hazzazi, Gulraiz, Rashad Ali, Muhammad Kamran Jamil, Sameer Abdullah Nooh, Fahad Alblehai

“…The dynamic S-boxes have average scores of nonlinearity, strict avalanche criteria(SAC), nonlinearity of Bit Independence Criteria (BIC Nonlinearity), SAC of Bit Independence Criteria (BIC SAC), Linear Approximation Probability (LAP) and Differential Approximation Probability (DAP) is 111.1025, 111.1022, 0.5014, 0.5024, 111.1082, 111.0964, 0.5024, 0.5022, 0.0726, 0.0729 and 0.0214, 0.0219, respectively. …”
Get full text

Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems by Wenping Qin, Jian Zhang, Fukun Zhao

“…Moreover, by applying a generalized linking theorem for strongly indefinite functionals, we establish the existence of homoclinic orbits for asymptotically quadratic nonlinearity as well as the existence of infinitely many homoclinic orbits for superquadratic nonlinearity.…”
Get full text