Finding quadratic underestimators for optimal value functions of nonconvex all-quadratic problems via copositive optimization by Markus Gabl, Immanuel M. Bomze

“…Modeling parts of an optimization problem as an optimal value function that depends on a top-level decision variable is a regular occurrence in optimization and an essential ingredient for methods such as Benders Decomposition. …”
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SOLVING ENGINEERING OPTIMIZATION PROBLEMS WITH THE SWARM INTELLIGENCE METHODS by A. V. Panteleev, M. D. Evdokimova

“…The purpose of each task is to minimize the cost and weight of the construction. The object functions in optimization practical problem are nonlinear functions with a lot of variables and a complex layer surface indentations. …”
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Detecting changes in retinal function: Analysis with Non-Stationary Weibull Error Regression and Spatial enhancement (ANSWERS). by Haogang Zhu, Richard A Russell, Luke J Saunders, Stefano Ceccon, David F Garway-Heath, David P Crabb

“…Furthermore, the spatial correlation utilised in ANSWERS was shown to improve the ability to detect deterioration, compared to equivalent models without spatial correlation, especially in short follow-up series. ANSWERS is a new efficient method for detecting changes in retinal function. …”
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Multi-function composite data generation and PIMamba model for fault diagnosis in sucker-rod pumping wells by Senhao Ren, Wenqiang Tang, Chao Ma, Li Hou, Xiaodong Chen, Jiashan Lin, Jie Yang, Yun Yang, Xiao Huo, Guoxin Li, Daowei Zhang

“…To overcome these challenges, we propose a multi-function composite data generation paradigm that integrates diverse functional characteristics, generating 11 classes of highly interpretable single-condition images as training data for a prior model. …”
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Innovative machine learning-based prediction of early airway hyperresponsiveness using baseline pulmonary function parameters by Hua Yang, Xingru Zhao, Zhuochang Chen, Lihong Yang, Guihua Zhao, Chenxiao Xu, Jinyi Xu

“…This study explores the potential of baseline pulmonary function parameters, particularly small airway indices, in predicting AHR and develops a machine learning-based model to improve screening efficiency and reduce unnecessary BPT referrals.MethodsThis retrospective study analyzed baseline pulmonary function data and BPT results from Henan Provincial People’s Hospital (May to September 2024). …”
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Cardiorespiratory responses and specificity of effectiveperformance in dance and pairsof dancers by Igor Soronovych, Andrii Diachenko, Georgiy Korobeynikov, Lesia Korobeinikova, Vladimir Raximov

“…The aim of the study: to identify the model characteristics of the functional reserve of elite dancers taking into account cardio-respiratory reactions. …”
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Research of Parameterization and Optimization of Shaped-profile and Size of Circular Arc Rotor Pair for Roots Pump by Li Yulong, Zhang Chenhe, Ran Guangze

“…Then,from pitch circle radius and shape coefficient as two design variables,the minimum wrapping cube space volume of rotor pair as an objective function,the upper limit of the shape coefficient and rounded-value of center distance and the diameter ratio of the rotor and other as constraint functions. …”
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Hypercubes to identify geomarkers of rapid cystic fibrosis lung disease progression by Yizi Cheng, Cole Brokamp, Erika Rasnick Manning, Elizabeth L. Kramer, Patrick H. Ryan, Rhonda D. Szczesniak, Emrah Gecili

“…Although geomarkers have been linked to pulmonary outcomes in other respiratory diseases, it is unknown which have the greatest predictive power for rapid lung function decline in CF. Methods We adapted an existing statistical procedure, which arranges candidate variables in a k-dimensional hypercube, where the hypercube forms a set of variables for a multi-stage selection process involving complex longitudinal data. …”
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Reliability of two-dimensional speckle tracking echocardiography in assessment of left atrial function in postmenopausal hypertensive women by M. Yu. Kolesnyk, M. V. Sokolova

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Functional role of cell classes in monkey prefrontal cortex after learning a working memory task by Amirreza Asadi, Christos Constantinidis, Mohammad Reza Daliri

“…Another broad-spiking subtype showed decreased baseline firing rate and variability, which may optimize neural coding efficiency. …”
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Polymer-Functionalized Magnetic Nanoparticles for Targeted Quercetin Delivery: A Potential Strategy for Colon Cancer Treatment by Júlia Borges de Macedo, Julia Narayana Schoroeder Bueno, Carla Cristine Kanunfre, José Ricardo de Arruda Miranda, Andris Figueiroa Bakuzis, Priscileila Colerato Ferrari

“…The experimental design allows the discussion of critical manufacturing variables and the determination of optimal parameters for the formulations.…”
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Machine learning predicts improvement of functional outcomes in spinal cord injury patients after inpatient rehabilitation by Mohammad Rasoolinejad, Irene Say, Peter B. Wu, Xinran Liu, Yan Zhou, Yan Zhou, Nathan Zhang, Emily R. Rosario, Daniel C. Lu, Daniel C. Lu, Daniel C. Lu

“…The findings support the integration of these advanced predictive tools in clinical settings to better guide decision making for patients and families, tailor rehabilitation plans, allocate resources efficiently, and ultimately improve patient outcomes.…”
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Identification of time-varying parameters of a monthly Budyko function in US MOPEX catchments and its implications by Weibo Liu, Pan Liu, Lei Cheng, Xiaojing Zhang, Liting Zhou

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The CFS-PML for 2D Auxiliary Differential Equation FDTD Method Using Associated Hermite Orthogonal Functions by Feng Jiang, Xiao-Ping Miao, Feng Lu, Li-Yuan Su, Yao Ma

“…The complex frequency shifted (CFS) perfectly matched layer (PML) is proposed for the two-dimensional auxiliary differential equation (ADE) finite-difference time-domain (FDTD) method combined with Associated Hermite (AH) orthogonal functions. According to the property of constitutive parameters of CFS-PML (CPML) absorbing boundary conditions (ABCs), the auxiliary differential variables are introduced. …”
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Dynamic brain-heart-gut coupling during sleep: a continuous physiological signal analysis by Guojing Wang, Guojing Wang, Guojing Wang, Hongyun Liu, Hongyun Liu, Shijing Wu, Shijing Wu, Xiaohua Yu, Xiaohua Yu, Weidong Wang, Weidong Wang

“…However, current research on gut function primarily focuses on gut microbiota, with a lack of systematic investigation into the macroscopic dynamic changes of gut function. …”
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Novel Hybrid Function Operational Matrices of Fractional Integration: An Application for Solving Multi-Order Fractional Differential Equations by Seshu Kumar Damarla, Madhusree Kundu

“…The developed algorithm was then applied to a range of benchmark problems, including both linear and nonlinear multi-order FDEs with constant and variable coefficients. Numerical comparisons with well-established methods in the literature revealed that the proposed approach not only achieved higher accuracy but also significantly reduced computational effort, demonstrating its potential as a reliable and efficient numerical tool for fractional-order modeling.…”
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The quartic anharmonic oscillator – an oscillator-basis expansion approach. II. Study of the wave functions and acceleration of the expansions convergence by V. A. Babenko, A. V. Nesterov

“…This improved method drastically accelerates the convergence of expansions across the entire range of the coupling constant variation, thereby substantially increasing the efficiency of the applied method by allowing calculations with a very small number of expansion basis functions N ≲ 10. …”
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Application of Empirical Orthogonal Function Interpolation to Reconstruct Hourly Fine Particulate Matter Concentration Data in Tianjin, China by Hongwu Zhou, Haidong Pan, Shuang Li, Xianqing Lv

“…Finally, six evaluation indices (mean absolute error (MAE), RMSE, correlation coefficient (Corr), deviation rate bias, Nash–Sutcliffe efficiency (NSE), and index of agreement (IA)) are calculated. …”
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Investigating One-, Two-, and Triple-Wave Solutions via Multiple Exp-Function Method Arising in Engineering Sciences by Pengbo Wan, Jalil Manafian, Hajar Farhan Ismael, Sizar Abid Mohammed

“…The multiple Exp-function method is employed for searching the multiple soliton solutions for the new extended (3+1)-dimensional Jimbo-Miwa-like (JM) equation, the extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (eCBS) equation, the generalization of the (2+1)-dimensional Bogoyavlensky-Konopelchenko (BK) equation, and a variable-coefficient extension of the DJKM (vDJKM) equation, which contain one-soliton-, two-soliton-, and triple-soliton-kind solutions. …”
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Optimization and Simulation of Flat Area Sites Based on Probability Matching and Transfer Intensity Using Remote Sensing Precipitation by Chen Yu, Huaiyong Shao, Xingchuan Yang, Gang Liu, Qi Xin, Jiaming Gu

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