Blessing of dimensionality in spiking neural networks: the by-chance functional learning by Valeri A. Makarov, Sergey A. Lobov, Sergey A. Lobov

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The Use of Some Nonlinear Functions to Explain Growth in Japanese Quails with Multivariate Adaptive Regression Splines Algorithm by Cem Tırınk, Sezai Alkan, Yeliz Kaşko Arıcı

“…The study aimed was to determine the best nonlinear function describing the growth stages of the Japanese quail breed. …”
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Tracking Control of Vacuum Circuit Breaker Based on a Control Law with Nonlinear Correction Function by Liyan Zhang, Yongxing Wang, Yu Tian, Enyuan Dong, Yu Zhu, Jiyan Zou

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Optimization of distribution risk of hazardous materials in the production routing problem by Amin Farahbakhsh, Amirsaman Kheirkhah

“…Given that solving the mathematical model with the nonlinear objective function is more difficult, this function is approximated by a piecewise linear function.Findings: In this research, 8 standard instances have been used to evaluate and solve the model and compare the two nonlinear and linear models. …”
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POWER, METALLURGICAL AND CHEMICAL MECHANICAL ENGINEERING DEVICE OF PIECEWISE-LINEAR APPROXIMATION OF TRANSIENT RESPONSE OF CONTROLLED ELECTRONIC COMPONENTS by T. A. Ismailov, Kh. M. Gajiyev, D. A. Chelushkin

“…The development of a device for the piecewise-linear approximation of a transient response for controlling an automated system of the production diagnosis of electronic component parameters on functional cells.Methods. …”
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Efficient estimation in ZIP models with applications to count data by Nurul N. Mohamad, Ibrahim Mohamed, Ng Kok-Haur, Mohd S. Yahya

“…Results show that the estimators derived from QEF method, which uses information from combined estimating functions, is more informative than linear estimating functions (LEF) method that only uses information from component estimating functions. …”
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Elucidating linear programs by neural encodings by Florian Peter Busch, Florian Peter Busch, Matej Zečević, Kristian Kersting, Kristian Kersting, Kristian Kersting, Kristian Kersting, Devendra Singh Dhami

“…Linear Programs (LPs) are one of the major building blocks of AI and have championed recent strides in differentiable optimizers for learning systems. …”
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Optical and electrical properties of thiarubrine A simulated via the Hückel method and the nonequilibrium Green’s function by Francesco Scotognella

“…IntroductionThiarubrine A, a fascinating class of linear carbon chains, can be extracted from certain plants and are known for their photolabile pigment properties.MethodsIn this study, a modified Hückel method to investigate the optical properties of thiarubrine A has been employed, determining its absorption spectrum and wavelength-dependent complex refractive index. …”
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A case study on the practicability of using linear analysis results in a Bayesian inference model to predict nonlinear responses in performance-based design methods by Shima Taheri, Reza Karami Mohammadi

“…The predictability power of predictors, Bayesian model comparison among different likelihood functions, and common diagnostics tools in numerical solution of the Bayesian model developed on linear results, have all been examined. …”
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Robust power management capabilities of integrated energy systems in the smart distribution network including linear and non-linear loads by Kai Jin, Hamed Banizaman, Sina Samadi Gharehveran, Mohammad Reza Jokar, Alireza Mohammadi Amidi, Jianyong Yu, Hayder Oleiwi Shami

“…Adaptive robust optimization has been applied to develop solutions that effectively address these uncertainties. …”
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Functionalization of LDPE and mLLDPE via grafting trans-ethylene-1,2-dicarboxylic acid by reactive extrusion

“…An investigation was made of grafting trans-ethylene-1,2-dicarboxylic acid (TEDA) onto metallocene-linear low-density polyethylene (mLLDPE) and low-density polyethylene (LDPE) in the course of reactive extrusion. …”
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Local Gevrey Regularity for Linearized Homogeneous Boltzmann Equation by Shi-you Lin

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Locally Linear Discriminate Embedding for Face Recognition by Eimad E. Abusham, E. K. Wong

“…To validate the proposed method, CMU-PIE database has been used and experiments conducted in this research revealed the efficiency of the proposed methods in face recognition, as compared to the linear and non-linear approaches.…”
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Beyond Linear Delay Multipliers in Air Transport by Seddik Belkoura, José Maria Peña, Massimiliano Zanin

“…Here we present a methodology that extracts a more complete relationship between the in- and outbound delays, distinguishing a linear and a nonlinear phase and thus yielding a richer description of the system’s response as a function of the delay magnitude. …”
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THE CONSTRUCTION OF SOLUTIONS OF PIECEWISE-LINEAR PHASE SYSTEMS by A. F. Gribov, B. I. Shakhtarin

“…The article considers the construction of solutions of phase systems on the example of phase-locked frequency of arbitrary dimension with piecewise linear approximation of the nonlinear function. This approximation allowed to use an explicit form of solutions in the linearity and to obtain analytical conditions for the existence of various types of system behavior. …”
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Molecular properties of linear amino acids in water by Roman Boča, Richard Imrich, Juraj Štofko, Beáta Vranovičová, Cyril Rajnák

“…For comparison, MP2/def2-TZVPD method (M2) with full geometry optimization and vibrational analysis in water has been applied for 12 species; analogously, for 24 substances, DLPNO-CCSD(T)/aug-cc-pVTZ method (M3) has been applied in the geometry obtained by MP2 and/or B3LYP. …”
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Terahertz control of linear and nonlinear Magno-phononics by Tianchuang Luo, Honglie Ning, Batyr Ilyas, Alexander von Hoegen, Emil Viñas Boström, Jaena Park, Junghyun Kim, Je-Geun Park, Dominik M. Juraschek, Angel Rubio, Nuh Gedik

“…However, since the linear excitation of Raman-active phonons is conventionally considered forbidden in inversion symmetric quantum materials, the simultaneous linear and nonlinear excitation of a collective mode involving lattice component has remained elusive. …”
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Linear Interpolation on a Euclidean Ball in Rⁿ by Mikhail V. Nevskii, Alexey Yu. Ukhalov

“…We mean by \(C(B)\) the space of continuous functions \(f:B\to{\mathbb R}\) with the norm \(\|f\|_{C(B)}:=\max_{x\in B}|f(x)|\) and by \(\Pi_1\left({\mathbb R}^n\right)\) the set of polynomials in \(n\) variables of degree \(\leq 1\), i.e. linear functions on \({\mathbb R}^n\). …”
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Estimation of Uniaxial Compressive Strength and Tensile Strength of Sandstone Based on Point Load by LIU Yongzhi, FANG Qingyao, ZHANG Kun, YAO Huayan, LIU Wu, LIU Guang

“…Three different types of transformation relationships can be used to fit the point load and uniaxial compressive strength, including non-0 intercept linear relationship, 0 intercept linear relationship, and power function. …”
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Bidirectional association between grip strength and cognitive function in Chinese older adults: a nationwide cohort study by Jinfu Wang, Quanming Cui, Xue Xu, Guan Yang

“…Abstract Background The rapid increase in the elderly population in China has led to the dual challenges of cognitive decline and physical functional decline. …”
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