High resolution satellite imaging 0.5U-size freeform telescope for CubeSat by Jacek Wojtanowski

“…The proposed design algorithm proved to be computationally efficient. It enabled to obtain the excellent imaging of the designed telescope, which from mathematical perspective becomes a challenging multi-variable optimization task, unattainable with the standard optimization procedures included in the commercial optical design software.…”
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Maximum Principle-Preserving Computational Algorithm for the 3D High-Order Allen–Cahn Equation by Junseok Kim, Youngjin Hwang

“…These results confirm the efficiency and reliability of the proposed computational algorithm for simulating phase-field models with a high-order polynomial potential.…”
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Predicting per capita expenditure using satellite imagery and transfer learning: A case study of east Java province, Indonesia by Heri Kuswanto, Wahidatul Wardah Al Maulidiyah, Widhianingsih Tintrim Dwi Ary, Yudistira Ashadi

“…These extracted features are then used as independent variables to predict East Java's per capita expenditure using Support Vector Regression (SVR) with RBF and polynomial kernels. …”
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Dimensions-Reduced Volterra Digital Pre-Distortion Based On Orthogonal Basis for Band-Limited Nonlinear Opto-Electronic Components by Hananel Faig, Yaron Yoffe, Eyal Wohlgemuth, Dan Sadot

“…Here, we propose the use of orthogonal polynomial basis functions for efficient DPD implementation. …”
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Couple Anti-Swing Obstacle Avoidance Control Strategy for Underactuated Overhead Cranes by Shuo Meng, Weikai He, Na Liu, Rui Zhang, Cungen Liu

“…Time polynomial fitting is employed for trajectory planning to achieve obstacle avoidance. …”
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Vibration characteristics of axially loaded tapered Timoshenko beams made of functionally graded materials by the power series method by M. Soltani

“…According to the power series method, the exact fundamental solutions are found by expressing the variable coefficients presented in motion equations including cross-sectional area, moment of inertia, material properties and the displacement components in a polynomial form. …”
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Spatiotemporal changes of ecosystem health and the impact of its driving factors on the Loess Plateau in China by Xuepeng Zhang, Taixia Wu, Qiqi Du, Ninglei Ouyang, Wei Nie, Yang Liu, Peng Gou, Guangchao Li

“…Based on this idea, a new framework for assessing EH is proposed. The efficient machine learning model (light gradient boosting machine model) and the variable explanation model (SHapley Additive exPlanation model) are combined to quantify the functional relationships between various driving factors and EH, thereby exploring the impacts of climatic factors, socioeconomic development (SED), and ecological restoration projects (ERP) on EH. …”
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Comment on "Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle" by Hitomi Mori, Kaoru Mizuta, Keisuke Fujii

“…Multivariable Quantum Signal Processing (M-QSP) \cite{Rossi2022multivariable} is expected to provide an efficient means to handle polynomial transformations of multiple variables simultaneously. …”
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Response Surface Method for Material Uncertainty Quantification of Infrastructures by Mohammad Amin Hariri-Ardebili, S. Mahdi Seyed-Kolbadi, Mohammad Noori

“…The efficient Box-Behnken experimental design is adopted to minimize the required simulations. …”
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Spinach (<i>Spinacia oleracea</i> L.) Growth Model in Indoor Controlled Environment Using Agriculture 4.0 by Cesar Isaza, Angel Mario Aleman-Trejo, Cristian Felipe Ramirez-Gutierrez, Jonny Paul Zavala de Paz, Jose Amilcar Rizzo-Sierra, Karina Anaya

“…The best-fitting polynomial models for leaf length achieved a minimum Mean Squared Error (MSE) of 0.158, while the highest MSE observed was 1.2153, highlighting variability across different leaf pairs. …”
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Airfoil Optimization Design of Vertical-Axis Wind Turbine Based on Kriging Surrogate Model and MIGA by Quan Wang, Zhaogang Zhang

“…Based on the NACA 0015 airfoil, 13 geometric variables (including 12 Bernstein polynomial coefficients and 1 installation angle) were defined through the Classification and Shape Transformation (CST) parameterization method. …”
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Trajectory Planning Based on Screw Theory with Consideration of the Optimal Berth Position for a Space Robot by Yong Wang, Ying Liao, Kejie Gong

“…First, the berth position is transformed into the desired position of the end-effector, and its constraints are described. Joint variables are parameterized using a sinusoidal function combined with a five-order polynomial function. …”
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Optimization of medium components for the production of exopolysaccharide by Lycoperdon pyriforme Schaeff.: Pers. using response surface methodology by MA Xiaokui, JIANG Hua, LI Junzhi, CHEN Yong, HE Xiaojing

“…A total of 15 experimental runs (with three factors at three levels) were conducted to determine the optimum combination of these medium components by ANOVA analysis of experimental data. A second-order polynomial models with EPS yield as response variable was then obtained and confirmed to adequately represent the actual relationship between the independent variables and responses through validation tests. …”
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Effects of curing age and magnesium slag grinding time on mechanical properties and hydration characteristics of magnesium slag-based backfill materials by Xiaobing Yang, Jian Yang, Xi Wang, Shenghua Yin, Zepeng Yan, Xizhi Zhang, Gongcheng Li, Xun Chen, Yaobin Qi, Wei Chen

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Modeling and Characterization of the Uplink and Downlink Exposure in Wireless Networks by Anis Krayni, Abdelhamid Hadjem, Günter Vermeeren, Alain Sibille, Christophe Roblin, Wout Joseph, Luc Martens, Joe Wiart

“…In the downlink scenario, a series of FDTD simulations of an exposure to a single plane wave and multiplane waves have been conducted, and an efficient metamodeling of the exposure using the Polynomial Chaos approach has been developed.…”
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Influence of structural surface roughness on the strength of layered fill bodies based on PFC2D by Jinxing WANG, Zongsheng HU, Huazhe JIAO, Xiaolin YANG, Qi ZHANG, Xiaohui LIU, Ping XU, Junqiang XU, Xun CHEN

“…Linear and quadratic polynomial fittings of strength versus roughness reveal a quadratic polynomial relationship between strength and roughness, indicating that this function effectively characterizes the correlation between the compressive strength and bonding surface roughness of the backfill. …”
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Developing a Local Neurofuzzy Model for Short-Term Wind Power Forecasting by E. Faghihnia, S. Salahshour, A. Ahmadian, N. Senu

“…The LNF approach is constructed based on the contribution of local polynomial models which can efficiently model wind power generation. …”
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Strategic slot-pole optimization in electromagnetic coupling with random forest regressor model inspired by response surface methodology by Garbe Chukulu Jarso, Ramesh Babu Nallamothu, Rajendiran Gopal, Gang Gyoo Jin

“…The RFR models achieved excellent predictive accuracy (R² up to 1.000 for deterministic variables), while the RSM enabled efficient gradient-based optimization of the design space. …”
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Study on precision reliability evaluation method of harmonic drive based on NIPCE considering wear by Xian Zhang, Changming Zhang, Peng Wang, Chunlei Peng, Fan Yang

“…Then a Non-Intrusive Polynomial Chaos Expansion(NIPCE) based uncertainty analysis method is proposed for transmission precision response solution of harmonic drive dynamic model under multi-dimensional random variables, and the efficiency of uncertainty analysis is further improved by introducing sparse grid. …”
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Uncertainty analysis in the design of Type-IV composite pressure vessels for hydrogen storage by Yao Koutsawa, Lyazid Bouhala

“…Latin Hypercube Sampling (LHS) efficiently explored the uncertainty space, while Polynomial Chaos Expansion (PCE) modeled BP responses, with Sparse PCE reducing computational costs by selecting influential polynomial terms. …”
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