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Journal articles on the topic 'Multivariate Quadratic Setting'

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1

Araveeporn, Autcha. "Comparing the Linear and Quadratic Discriminant Analysis of Diabetes Disease Classification Based on Data Multicollinearity." International Journal of Mathematics and Mathematical Sciences 2022 (September 6, 2022): 1–11. http://dx.doi.org/10.1155/2022/7829795.

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Linear and quadratic discriminant analysis are two fundamental classification methods used in statistical learning. Moments (MM), maximum likelihood (ML), minimum volume ellipsoids (MVE), and t-distribution methods are used to estimate the parameter of independent variables on the multivariate normal distribution in order to classify binary dependent variables. The MM and ML methods are popular and effective methods that approximate the distribution parameter and use observed data. However, the MVE and t-distribution methods focus on the resampling algorithm, a reliable tool for high resistanc
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2

Tucker, Larry A., Denise S. Demers, and K. Patrick Kelly. "A Prediction Equation for Estimating Body Fat Percentage Using Readily Accessible Measures: A Multivariate Study of 200 Adult Women." American Journal of Health Promotion 12, no. 4 (1998): 229–36. http://dx.doi.org/10.4278/0890-1171-12.4.229.

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Purpose. This study was conducted to develop a regression equation that accurately estimates body fat percentage using relatively easy and inexpensive methods that do not require women to remove clothing. Design. A cross-sectional design was employed. Setting. All data were collected at the University. Subjects. Subjects were 200 white women ages 20 to 65 years. The sample was equally distributed across four age groups, 20–29, 30–39, 40–49, and 50–65, and within each age group, one-third of the women were lean, one-third were of average weight, and one-third were obese. Measures. Subjects were
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Ochoa, Maicol, and Ignacio Cascos. "Data Depth and Multiple Output Regression, the Distorted M-Quantiles Approach." Mathematics 10, no. 18 (2022): 3272. http://dx.doi.org/10.3390/math10183272.

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For a univariate distribution, its M-quantiles are obtained as solutions to asymmetric minimization problems dealing with the distance of a random variable to a fixed point. The asymmetry refers to the different weights awarded to the values of the random variable at either side of the fixed point. We focus on M-quantiles whose associated losses are given in terms of a power. In this setting, the classical quantiles are obtained for the first power, while the expectiles correspond to quadratic losses. The M-quantiles considered here are computed over distorted distributions, which allows to tu
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Jiang, Yixiao. "A Hausman Test for Partially Linear Models with an Application to Implied Volatility Surface." Journal of Risk and Financial Management 13, no. 11 (2020): 287. http://dx.doi.org/10.3390/jrfm13110287.

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This paper develops a test that helps assess whether the term structure of option implied volatility is constant across different levels of moneyness. The test is based on the Hausman principle of comparing two estimators, one that is efficient but not robust to the deviation being tested, and one that is robust but not as efficient. Distribution of the proposed test statistic is investigated in a general semiparametric setting via the multivariate Delta method. Using recent S&P 500 index traded options data from September 2009 to December 2018, we find that a partially linear model permit
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Araveeporn, Autcha. "Comparison of Logistic Regression and Discriminant Analysis for Classification of Multicollinearity Data." WSEAS TRANSACTIONS ON MATHEMATICS 22 (February 16, 2023): 120–31. http://dx.doi.org/10.37394/23206.2023.22.15.

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The objective of this study is to concentrate on the classification method of the logistic regression and the discriminant analysis by using the simulation dataset and the liver patients as the actual data. These datasets are used the binary dependent variable depending on the correlated independent variables or called multicollinearity data. The standard classification method is logistic regression, which uses the logit function’s probability to conduct the dichotomous dependent variable. The iteration process can be solved to estimate logit function parameters and explain the relationship be
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Abd Almuhsen, Tahseen Ali, and Ahmed Jasim Sultan. "Coordination of directional overcurrent and distance relays based on nonlinear multivariable optimization." Indonesian Journal of Electrical Engineering and Computer Science 17, no. 3 (2020): 1194. http://dx.doi.org/10.11591/ijeecs.v17.i3.pp1194-1205.

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To ensure stability, security, and protection of electrical equipment from the damage the suitable coordination must be made in interconnected networks. In this paper, the nonlinear multivariable optimization techniques have been used with different performance indexes: Sequential quadratic programming (SQP), Sequential quadratic programming legacy (SQP-Legacy), Interior-Point and Active-Set for IEEE- 8 bus test system. This system consists of twenty-eight protective relays divided into fourteen directional overcurrent relays (DOCR) and fourteen distance relays (DR). It has been tested in the
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7

Whalley, A., and M. Ebrahimi. "Robust Stability with System Uncertainties." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 216, no. 5 (2002): 495–508. http://dx.doi.org/10.1177/095440620221600501.

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Multivariable system models in the form of parameterized, impedance, matrix quadratic realizations are considered. System uncertainties in the form of mass-inertia or damping variations are acknowledged. Simple proportional controller models are proposed and the effect of model variations on the stability of the closed-loop system is investigated. Frequency domain methods are employed to predict the relative stability condition of the system. Conventional stability margin measures may be invoked while adjusting the controller design parameter to an appropriate setting.
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Kolankowski, Michał, and Robert Piotrowski. "Design of Three Control Algorithms for an Averaging Tank with Variable Filling." Acta Mechanica et Automatica 16, no. 2 (2022): 136–50. http://dx.doi.org/10.2478/ama-2022-0018.

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Abstract An averaging tank with variable filling is a nonlinear multidimensional system and can thus be considered a complex control system. General control objectives of such object include ensuring stability, zero steady-state error, and achieving simultaneously shortest possible settling time and minimal overshoot. The main purpose of this research work was the modeling and synthesis of three control systems for an averaging tank. In order to achieve the intended purpose, in the first step, a mathematical model of the control system was derived. The model was adapted to the form required to
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9

Bernabe-Ortiz, Antonio, Rodrigo M. Carrillo-Larco, and J. Jaime Miranda. "Association between body mass index and blood pressure levels across socio-demographic groups and geographical settings: analysis of pooled data in Peru." PeerJ 9 (April 21, 2021): e11307. http://dx.doi.org/10.7717/peerj.11307.

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Background Understanding the relationship between BMI and blood pressure requires assessing whether this association is similar or differs across population groups. This study aimed to assess the association between body mass index (BMI) and blood pressure levels, and how these associations vary between socioeconomic groups and geographical settings. Methods Data from the National Demographic Health Survey of Peru from 2014 to 2019 was analyzed considering the complex survey design. The outcomes were levels of systolic (SBP) and diastolic blood pressure (DBP), and the exposure was BMI. Exposur
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Pallegedara, Asankha. "Food consumption choice and demand by the Sri Lankan households." Journal of Agribusiness in Developing and Emerging Economies 9, no. 5 (2019): 520–35. http://dx.doi.org/10.1108/jadee-01-2019-0014.

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Purpose Food consumption patterns have changed in many Asian countries over the past two–three decades. It is important to understand the changes in food consumption patterns and its drivers in different country settings as each country has different food cultures, tastes and habits. Thus, the purpose of this paper is to examine the patterns and determinants of food consumption choice and demand in Sri Lanka. Design/methodology/approach Using Household Income and Expenditure Survey 1990/1991, 2002 and 2012/2013 data, this study explores the relationship between food consumption patterns and th
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11

Seres, István András, Máté Horváth, and Péter Burcsi. "The Legendre pseudorandom function as a multivariate quadratic cryptosystem: security and applications." Applicable Algebra in Engineering, Communication and Computing, March 1, 2023. http://dx.doi.org/10.1007/s00200-023-00599-2.

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AbstractSequences of consecutive Legendre and Jacobi symbols as pseudorandom bit generators were proposed for cryptographic use in 1988. Major interest has been shown towards pseudorandom functions (PRF) recently, based on the Legendre and power residue symbols, due to their efficiency in the multi-party setting. The security of these PRFs is not known to be reducible to standard cryptographic assumptions. In this work, we show that key-recovery attacks against the Legendre PRF are equivalent to solving a specific family of multivariate quadratic (MQ) equation system over a finite prime field.
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12

Kuc, Joanna, Hannes Kettner, Fernando Rosas, et al. "Psychedelic experience dose-dependently modulated by cannabis: results of a prospective online survey." Psychopharmacology, November 4, 2021. http://dx.doi.org/10.1007/s00213-021-05999-1.

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Abstract Rationale. Classic psychedelics are currently being studied as novel treatments for a range of psychiatric disorders. However, research on how psychedelics interact with other psychoactive substances remains scarce. Objectives The current study aimed to explore the subjective effects of psychedelics when used alongside cannabis. Methods Participants (n = 321) completed a set of online surveys at 2 time points: 7 days before, and 1 day after a planned experience with a serotonergic psychedelic. The collected data included demographics, environmental factors (so-called setting) and five
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Dey, Debangan, Abhirup Datta, and Sudipto Banerjee. "Graphical Gaussian process models for highly multivariate spatial data." Biometrika, December 4, 2021. http://dx.doi.org/10.1093/biomet/asab061.

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Summary For multivariate spatial Gaussian process models, customary specifications of cross-covariance functions do not exploit relational inter-variable graphs to ensure process-level conditional independence between the variables. This is undesirable, especially in highly multivariate settings, where popular cross-covariance functions, such as multivariate Matérn functions, suffer from a curse of dimensionality as the numbers of parameters and floating-point operations scale up in quadratic and cubic order, respectively, with the number of variables. We propose a class of multivariate graphi
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14

Harman, Radoslav, and Mária Trnovská. "Approximate D-optimal designs of experiments on the convex hull of a finite set of information matrices." Mathematica Slovaca 59, no. 6 (2009). http://dx.doi.org/10.2478/s12175-009-0157-9.

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AbstractIn the paper we solve the problem of D ℋ-optimal design on a discrete experimental domain, which is formally equivalent to maximizing determinant on the convex hull of a finite set of positive semidefinite matrices. The problem of D ℋ-optimality covers many special design settings, e.g., the D-optimal experimental design for multivariate regression models. For D ℋ-optimal designs we prove several theorems generalizing known properties of standard D-optimality. Moreover, we show that D ℋ-optimal designs can be numerically computed using a multiplicative algorithm, for which we give a pr
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15

Silva, Luiz Ricardo Trajano da, Victor Augusto Fernandes de Campos, and Alain Segundo Potts. "Robust Control for Helicopters Performance Improvement: an LMI Approach." Journal of Aerospace Technology and Management, no. 12 (August 10, 2020). http://dx.doi.org/10.5028/jatm.v12.1179.

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This paper presents an LMI (Linear Matrix Inequalities) application for the design of robust controllers for multivariate systems that have multiple points of operation. Some systems change their parameters along time, then, it is necessary to switch the control for different operational points. The purpose of this controller is to ensure the stability and performance requirements of the system for different operating points with the same controller. The method uses the following concepts of predefined structures controller, LMI region, and polytopic systems. To validate the controller a linea
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16

Vu, Thanh-Huyen T., Linda Van Horn, Martha L. Daviglus, et al. "Association between egg intake and blood pressure in the USA: the INTERnational study on MAcro/micronutrients and blood Pressure (INTERMAP)." Public Health Nutrition, August 2, 2021, 1–9. http://dx.doi.org/10.1017/s1368980021002949.

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Abstract Objectives: To investigate associations of egg intake with blood pressure (BP) and the role of dietary variables and other macro- and micro-nutrients in the association. Design: We used cross-sectional data for the USA as part of the INTERnational study on MAcro/micronutrients and blood Pressure (INTERMAP). INTERMAP was surveyed between 1996 and 1999, including four 24-h dietary recalls, two 24-h urine collections and eight measurements of systolic BP and diastolic BP (SBP, DBP). Average egg intake (g/d) was calculated. Multivariable linear regression models were used to estimate the
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