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Journal articles on the topic 'Regularized quantiles'

Author: Grafiati

Published: 7 December 2024

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1

Santos, Patricia Mendes dos, Ana Carolina Campana Nascimento, Moysés Nascimento, et al. "Use of regularized quantile regression to predict the genetic merit of pigs for asymmetric carcass traits." Pesquisa Agropecuária Brasileira 53, no. 9 (2018): 1011–17. http://dx.doi.org/10.1590/s0100-204x2018000900004.

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Abstract: The objective of this work was to evaluate the use of regularized quantile regression (RQR) to predict the genetic merit of pigs for asymmetric carcass traits, compared with the Bayesian lasso (Blasso) method. The genetic data of the traits carcass yield, bacon thickness, and backfat thickness from a F2 population composed of 345 individuals, generated by crossing animals from the Piau breed with those of a commercial breed, were used. RQR was evaluated considering different quantiles (τ = 0.05 to 0.95). The RQR model used to estimate the genetic merit showed accuracies higher than o

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2

Bang, Sungwan, and Myoungshic Jhun. "Adaptive sup-norm regularized simultaneous multiple quantiles regression." Statistics 48, no. 1 (2012): 17–33. http://dx.doi.org/10.1080/02331888.2012.719512.

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3

Zou, Hui, and Ming Yuan. "Regularized simultaneous model selection in multiple quantiles regression." Computational Statistics & Data Analysis 52, no. 12 (2008): 5296–304. http://dx.doi.org/10.1016/j.csda.2008.05.013.

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Nascimento, Ana Carolina Campana, Camila Ferreira Azevedo, Cynthia Aparecida Valiati Barreto, Gabriela França Oliveira, and Moysés Nascimento. "Quantile regression for genomic selection of growth curves." Acta Scientiarum. Agronomy 46, no. 1 (2023): e65081. http://dx.doi.org/10.4025/actasciagron.v46i1.65081.

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This study evaluated the efficiency of genome-wide selection (GWS) based on regularized quantile regression (RQR) to obtain genomic growth curves based on genomic estimated breeding values (GEBV) of individuals with different probability distributions. The data were simulated and composed of 2,025 individuals from two generations and 435 markers randomly distributed across five chromosomes. The simulated phenotypes presented symmetrical, skewed, positive, and negative distributions. Data were analyzed using RQR considering nine quantiles (0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, and 0.9) and tr

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5

Li, Jia, Viktor Todorov, and George Tauchen. "ESTIMATING THE VOLATILITY OCCUPATION TIME VIA REGULARIZED LAPLACE INVERSION." Econometric Theory 32, no. 5 (2015): 1253–88. http://dx.doi.org/10.1017/s0266466615000171.

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We propose a consistent functional estimator for the occupation time of the spot variance of an asset price observed at discrete times on a finite interval with the mesh of the observation grid shrinking to zero. The asset price is modeled nonparametrically as a continuous-time Itô semimartingale with nonvanishing diffusion coefficient. The estimation procedure contains two steps. In the first step we estimate the Laplace transform of the volatility occupation time and, in the second step, we conduct a regularized Laplace inversion. Monte Carlo evidence suggests that the proposed estimator has

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6

Oliveira, Gabriela França, Ana Carolina Campana Nascimento, Moysés Nascimento, et al. "Quantile regression in genomic selection for oligogenic traits in autogamous plants: A simulation study." PLOS ONE 16, no. 1 (2021): e0243666. http://dx.doi.org/10.1371/journal.pone.0243666.

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This study assessed the efficiency of Genomic selection (GS) or genome‐wide selection (GWS), based on Regularized Quantile Regression (RQR), in the selection of genotypes to breed autogamous plant populations with oligogenic traits. To this end, simulated data of an F2 population were used, with traits with different heritability levels (0.10, 0.20 and 0.40), controlled by four genes. The generations were advanced (up to F6) at two selection intensities (10% and 20%). The genomic genetic value was computed by RQR for different quantiles (0.10, 0.50 and 0.90), and by the traditional GWS methods

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7

Sun, Pengju, Meng Li, and Hongwei Sun. "Quantile Regression Learning with Coefficient Dependent lq-Regularizer." MATEC Web of Conferences 173 (2018): 03033. http://dx.doi.org/10.1051/matecconf/201817303033.

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In this paper, We focus on conditional quantile regression learning algorithms based on the pinball loss and lq-regularizer with 1≤q≤2. Our main goal is to study the consistency of this kind of regularized quantile regression learning. With concentration inequality and operator decomposition techniques, we obtained satisfied error bounds and convergence rates.

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8

Papp, Gábor, Imre Kondor та Fabio Caccioli. "Optimizing Expected Shortfall under an ℓ1 Constraint—An Analytic Approach". Entropy 23, № 5 (2021): 523. http://dx.doi.org/10.3390/e23050523.

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Expected Shortfall (ES), the average loss above a high quantile, is the current financial regulatory market risk measure. Its estimation and optimization are highly unstable against sample fluctuations and become impossible above a critical ratio r=N/T, where N is the number of different assets in the portfolio, and T is the length of the available time series. The critical ratio depends on the confidence level α, which means we have a line of critical points on the α−r plane. The large fluctuations in the estimation of ES can be attenuated by the application of regularizers. In this paper, we

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9

Wu, Hanwei, and Markus Flierl. "Vector Quantization-Based Regularization for Autoencoders." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 04 (2020): 6380–87. http://dx.doi.org/10.1609/aaai.v34i04.6108.

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Autoencoders and their variations provide unsupervised models for learning low-dimensional representations for downstream tasks. Without proper regularization, autoencoder models are susceptible to the overfitting problem and the so-called posterior collapse phenomenon. In this paper, we introduce a quantization-based regularizer in the bottleneck stage of autoencoder models to learn meaningful latent representations. We combine both perspectives of Vector Quantized-Variational AutoEncoders (VQ-VAE) and classical denoising regularization methods of neural networks. We interpret quantizers as r

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10

Li, Meng, and Hong-Wei Sun. "Asymptotic analysis of quantile regression learning based on coefficient dependent regularization." International Journal of Wavelets, Multiresolution and Information Processing 13, no. 04 (2015): 1550018. http://dx.doi.org/10.1142/s0219691315500186.

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In this paper, we consider conditional quantile regression learning algorithms based on the pinball loss with data dependent hypothesis space and ℓ2-regularizer. Functions in this hypothesis space are linear combination of basis functions generated by a kernel function and sample data. The only conditions imposed on the kernel function are the continuity and boundedness which are pretty weak. Our main goal is to study the consistency of this regularized quantile regression learning. By concentration inequality with ℓ2-empirical covering numbers and operator decomposition techniques, satisfied

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11

Adlouni, Salaheddine El, Garba Salaou, and André St-Hilaire. "Regularized Bayesian quantile regression." Communications in Statistics - Simulation and Computation 47, no. 1 (2017): 277–93. http://dx.doi.org/10.1080/03610918.2017.1280830.

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12

Li, Qing, Ruibin Xi, and Nan Lin. "Bayesian regularized quantile regression." Bayesian Analysis 5, no. 3 (2010): 533–56. http://dx.doi.org/10.1214/10-ba521.

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13

Yao, Fang, Shivon Sue-Chee, and Fan Wang. "Regularized partially functional quantile regression." Journal of Multivariate Analysis 156 (April 2017): 39–56. http://dx.doi.org/10.1016/j.jmva.2017.02.001.

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14

Choi, Ho-Sik, and Yong-Dai Kim. "The Doubly Regularized Quantile Regression." Communications for Statistical Applications and Methods 15, no. 5 (2008): 753–64. http://dx.doi.org/10.5351/ckss.2008.15.5.753.

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15

Feng, Xiang-Nan, Yifan Wang, Bin Lu, and Xin-Yuan Song. "Bayesian regularized quantile structural equation models." Journal of Multivariate Analysis 154 (February 2017): 234–48. http://dx.doi.org/10.1016/j.jmva.2016.11.002.

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16

Pan, Xiao, Gokhan Yildirim, Ataur Rahman, Khaled Haddad, and Taha B. M. J. Ouarda. "Peaks-Over-Threshold-Based Regional Flood Frequency Analysis Using Regularised Linear Models." Water 15, no. 21 (2023): 3808. http://dx.doi.org/10.3390/w15213808.

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Regional flood frequency analysis (RFFA) is widely used to estimate design floods in ungauged catchments. Most of the RFFA techniques are based on the annual maximum (AM) flood model; however, research has shown that the peaks-over-threshold (POT) model has greater flexibility than the AM model. There is a lack of studies on POT-based RFFA techniques. This paper presents the development of POT-based RFFA techniques, using regularised linear models (least absolute shrinkage and selection operator, ridge regression and elastic net regression). The results of these regularised linear models are c

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17

Zhao, Wei-hua, Ri-quan Zhang, Ya-zhao Lü, and Ji-cai Liu. "Bayesian regularized regression based on composite quantile method." Acta Mathematicae Applicatae Sinica, English Series 32, no. 2 (2016): 495–512. http://dx.doi.org/10.1007/s10255-016-0579-4.

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18

Horvat, D., and S. Ilijić. "Regular and singular solutions for charged dust distributions in the Einstein-Maxwell theory." Canadian Journal of Physics 85, no. 9 (2007): 957–65. http://dx.doi.org/10.1139/p07-090.

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Solutions for the static spherically symmetric extremally charged dust in the Majumdar–Papapetrou system have been found. For a certain amount of the allocated mass and (or) charge, the solutions have singularities of a type that could render them physically unacceptable, since the corresponding physically relevant quantities are singular as well. These solutions, with a number of zero-nodes in the metric tensor, are regularized through the δ-shell formalism, thus redefining the mass and (or) charge distributions. The bifurcating behaviour of regular solutions found before is no longer present

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19

Paycha, Sylvie. "(Second) Quantised resolvents and regularised traces." Journal of Geometry and Physics 57, no. 5 (2007): 1345–69. http://dx.doi.org/10.1016/j.geomphys.2006.10.010.

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20

Yousif, Ali Hameed, and Wafaa Jaafer Housain. "Atan Regularized in Quantile Regression for High Dimensional Data." Journal of Physics: Conference Series 1818, no. 1 (2021): 012098. http://dx.doi.org/10.1088/1742-6596/1818/1/012098.

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21

Uniejewski, Bartosz, and Rafał Weron. "Regularized quantile regression averaging for probabilistic electricity price forecasting." Energy Economics 95 (March 2021): 105121. http://dx.doi.org/10.1016/j.eneco.2021.105121.

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22

Alhamzawi, Rahim, Ahmed Alhamzawi, and Haithem Taha Mohammad Ali. "New Gibbs sampling methods for bayesian regularized quantile regression." Computers in Biology and Medicine 110 (July 2019): 52–65. http://dx.doi.org/10.1016/j.compbiomed.2019.05.011.

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23

Christmann, Andreas, and Ding-Xuan Zhou. "Learning rates for the risk of kernel-based quantile regression estimators in additive models." Analysis and Applications 14, no. 03 (2016): 449–77. http://dx.doi.org/10.1142/s0219530515500050.

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Additive models play an important role in semiparametric statistics. This paper gives learning rates for regularized kernel-based methods for additive models. These learning rates compare favorably in particular in high dimensions to recent results on optimal learning rates for purely nonparametric regularized kernel-based quantile regression using the Gaussian radial basis function kernel, provided the assumption of an additive model is valid. Additionally, a concrete example is presented to show that a Gaussian function depending only on one variable lies in a reproducing kernel Hilbert spac

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24

Wei, Long, and Yang Wang. "The Lagrangian, Self-Adjointness, and Conserved Quantities for a Generalized Regularized Long-Wave Equation." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/173192.

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We consider the Lagrangian and the self-adjointness of a generalized regularized long-wave equation and its transformed equation. We show that the third-order equation has a nonlocal Lagrangian with an auxiliary function and is strictly self-adjoint; its transformed equation is nonlinearly self-adjoint and the minimal order of the differential substitution is equal to one. Then by Ibragimov’s theorem on conservation laws we obtain some conserved qualities of the generalized regularized long-wave equation.

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25

Alkenani, Ali, and Basim Shlaibah Msallam. "Group Identification and Variable Selection in Quantile Regression." Journal of Probability and Statistics 2019 (April 10, 2019): 1–7. http://dx.doi.org/10.1155/2019/8504174.

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Using the Pairwise Absolute Clustering and Sparsity (PACS) penalty, we proposed the regularized quantile regression QR method (QR-PACS). The PACS penalty achieves the elimination of insignificant predictors and the combination of predictors with indistinguishable coefficients (IC), which are the two issues raised in the searching for the true model. QR-PACS extends PACS from mean regression settings to QR settings. The paper shows that QR-PACS can yield promising predictive precision as well as identifying related groups in both simulation and real data.

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26

Tang, Qiaoqiao, Haomin Zhang, and Shifeng Gong. "Bayesian Regularized Quantile Regression Analysis Based on Asymmetric Laplace Distribution." Journal of Applied Mathematics and Physics 08, no. 01 (2020): 70–84. http://dx.doi.org/10.4236/jamp.2020.81006.

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27

Barroso, L. M., F. Morgante, T. F. Mackay, A. C. C. Nascimento, M. Nascimento, and N. V. Serão. "032 Genomic prediction accuracies using regularized quantile regression (RQR) methodology." Journal of Animal Science 95, suppl_2 (2017): 14–15. http://dx.doi.org/10.2527/asasmw.2017.032.

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28

Zhang, Yongxia, Qi Wang, and Maozai Tian. "Smoothed Quantile Regression with Factor-Augmented Regularized Variable Selection for High Correlated Data." Mathematics 10, no. 16 (2022): 2935. http://dx.doi.org/10.3390/math10162935.

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This paper studies variable selection for the data set, which has heavy-tailed distribution and high correlations within blocks of covariates. Motivated by econometric and financial studies, we consider using quantile regression to model the heavy-tailed distribution data. Considering the case where the covariates are high dimensional and there are high correlations within blocks, we use the latent factor model to reduce the correlations between the covariates and use the conquer to obtain the estimators of quantile regression coefficients, and we propose a consistency strategy named factor-au

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29

Ding, Xianwen, Jiandong Chen, and Xueping Chen. "Regularized quantile regression for ultrahigh-dimensional data with nonignorable missing responses." Metrika 83, no. 5 (2019): 545–68. http://dx.doi.org/10.1007/s00184-019-00744-3.

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30

Bracale, Antonio, Guido Carpinelli, and Pasquale De Falco. "Developing and Comparing Different Strategies for Combining Probabilistic Photovoltaic Power Forecasts in an Ensemble Method." Energies 12, no. 6 (2019): 1011. http://dx.doi.org/10.3390/en12061011.

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Accurate probabilistic forecasts of renewable generation are drivers for operational and management excellence in modern power systems and for the sustainable integration of green energy. The combination of forecasts provided by different individual models may allow increasing the accuracy of predictions; however, in contrast to point forecast combination, for which the simple weighted averaging is often a plausible solution, combining probabilistic forecasts is a much more challenging task. This paper aims at developing a new ensemble method for photovoltaic (PV) power forecasting, which comb

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31

He, Qianchuan, Linglong Kong, Yanhua Wang, Sijian Wang, Timothy A. Chan, and Eric Holland. "Regularized quantile regression under heterogeneous sparsity with application to quantitative genetic traits." Computational Statistics & Data Analysis 95 (March 2016): 222–39. http://dx.doi.org/10.1016/j.csda.2015.10.007.

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32

Tian, Yuzhu, Silian Shen, Ge Lu, Manlai Tang, and Maozai Tian. "Bayesian LASSO-Regularized quantile regression for linear regression models with autoregressive errors." Communications in Statistics - Simulation and Computation 48, no. 3 (2017): 777–96. http://dx.doi.org/10.1080/03610918.2017.1397166.

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33

Xiang, Dao-Hong, Ting Hu, and Ding-Xuan Zhou. "Approximation Analysis of Learning Algorithms for Support Vector Regression and Quantile Regression." Journal of Applied Mathematics 2012 (2012): 1–17. http://dx.doi.org/10.1155/2012/902139.

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We study learning algorithms generated by regularization schemes in reproducing kernel Hilbert spaces associated with anϵ-insensitive pinball loss. This loss function is motivated by theϵ-insensitive loss for support vector regression and the pinball loss for quantile regression. Approximation analysis is conducted for these algorithms by means of a variance-expectation bound when a noise condition is satisfied for the underlying probability measure. The rates are explicitly derived under a priori conditions on approximation and capacity of the reproducing kernel Hilbert space. As an applicati

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34

Hwang, Duckdong, Bruno Clerckx, and Gil Kim. "Regularized channel inversion with quantized feedback in down-link multiuser channels." IEEE Transactions on Wireless Communications 8, no. 12 (2009): 5785–89. http://dx.doi.org/10.1109/twc.2009.12.090117.

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35

Chan, Yuk-Hee, and Yik-Hing Fung. "A regularized constrained iterative restoration algorithm for restoring color-quantized images." Signal Processing 85, no. 7 (2005): 1375–87. http://dx.doi.org/10.1016/j.sigpro.2005.01.009.

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36

Koçhan, Necla, G. Yazgi Tutuncu, Gordon K. Smyth, Luke C. Gandolfo, and Göknur Giner. "qtQDA: quantile transformed quadratic discriminant analysis for high-dimensional RNA-seq data." PeerJ 7 (December 18, 2019): e8260. http://dx.doi.org/10.7717/peerj.8260.

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Classification on the basis of gene expression data derived from RNA-seq promises to become an important part of modern medicine. We propose a new classification method based on a model where the data is marginally negative binomial but dependent, thereby incorporating the dependence known to be present between measurements from different genes. The method, called qtQDA, works by first performing a quantile transformation (qt) then applying Gaussian quadratic discriminant analysis (QDA) using regularized covariance matrix estimates. We show that qtQDA has excellent performance when applied to

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37

Li, Jessie. "The Proximal Bootstrap for Finite-Dimensional Regularized Estimators." AEA Papers and Proceedings 111 (May 1, 2021): 616–20. http://dx.doi.org/10.1257/pandp.20211036.

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We propose a proximal bootstrap that can consistently estimate the limiting distribution of sqrt(n)-consistent estimators with nonstandardasymptotic distributions in a computationally efficient manner by formulating the proximal bootstrap estimator as the solution to aconvex optimization problem, which can have a closed-form solution for certain designs. This paper considers the application to finite-dimensionalregularized estimators, such as the lasso, l1-norm regularized quantile regression, l1-norm support vector regression, and trace regression via nuclear norm regularization.

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38

Anand, Namit, and Paolo Zanardi. "BROTOCs and Quantum Information Scrambling at Finite Temperature." Quantum 6 (June 23, 2022): 744. http://dx.doi.org/10.22331/q-2022-06-23-744.

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Out-of-time-ordered correlators (OTOCs) have been extensively studied in recent years as a diagnostic of quantum information scrambling. In this paper, we study quantum information-theoretic aspects of the regularized finite-temperature OTOC. We introduce analytical results for the bipartite regularized OTOC (BROTOC): the regularized OTOC averaged over random unitaries supported over a bipartition. We show that the BROTOC has several interesting properties, for example, it quantifies the purity of the associated thermofield double state and the operator purity of the analytically continued tim

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Anand, Namit, and Paolo Zanardi. "BROTOCs and Quantum Information Scrambling at Finite Temperature." Quantum 6 (June 27, 2022): 746. http://dx.doi.org/10.22331/q-2022-06-27-746.

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Out-of-time-ordered correlators (OTOCs) have been extensively studied in recent years as a diagnostic of quantum information scrambling. In this paper, we study quantum information-theoretic aspects of the regularized finite-temperature OTOC. We introduce analytical results for the bipartite regularized OTOC (BROTOC): the regularized OTOC averaged over random unitaries supported over a bipartition. We show that the BROTOC has several interesting properties, for example, it quantifies the purity of the associated thermofield double state and the operator purity of the analytically continued tim

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40

Nashed, Gamal G. L. "Physical Quantities of Reissner-Nordström Spacetime with Arbitrary Function and Regularized Procedure." Advances in High Energy Physics 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/298616.

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We use the covariant teleparallel approach to compute the total energy ofa spherically symmetric frame with an arbitrary function, that is,ℑ(r). We show how the total energy is always effected by the inertia. When use is made of the pure gauge connection, teleparallel gravity always yields the physically relevant result. We also calculate the total conserved charge and show how inertia spoils the physics in the time coordinate direction. Therefore, a regularized expression is employed to get a plausible value of energy. Finally, we use the Euclidean continuation method, in the context of TEGR,

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41

Pérez-Rodríguez, Paulino, Osval A. Montesinos-López, Abelardo Montesinos-López, and José Crossa. "Bayesian regularized quantile regression: A robust alternative for genome-based prediction of skewed data." Crop Journal 8, no. 5 (2020): 713–22. http://dx.doi.org/10.1016/j.cj.2020.04.009.

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42

Koné, N’Golo. "Regularized Maximum Diversification Investment Strategy." Econometrics 9, no. 1 (2020): 1. http://dx.doi.org/10.3390/econometrics9010001.

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The maximum diversification has been shown in the literature to depend on the vector of asset volatilities and the inverse of the covariance matrix of the asset return covariance matrix. In practice, these two quantities need to be replaced by their sample statistics. The estimation error associated with the use of these sample statistics may be amplified due to (near) singularity of the covariance matrix, in financial markets with many assets. This, in turn, may lead to the selection of portfolios that are far from the optimal regarding standard portfolio performance measures of the financial

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43

ICHINOSE, SHOICHI. "CASIMIR ENERGY OF 5D ELECTRO-MAGNETISM AND SPHERE LATTICE REGULARIZATION." International Journal of Modern Physics A 23, no. 14n15 (2008): 2245–48. http://dx.doi.org/10.1142/s0217751x08040949.

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Casimir energy is calculated in the 5D warped system. It is compared with the flat one. The position/ momentum propagator is exploited. A new regularization, called sphere lattice regularization, is introduced. It is a direct realization of the geometrical interpretation of the renormalization group. The regularized configuration is closed-string like. We do not take the KK-expansion approach. Instead the P/M propagator is exploited, combined with the heat-kernel method. All expressions are closed-form (not KK-expanded form). Rigorous quantities are only treated (non-perturbative treatment). T

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44

Hable, R., and A. Christmann. "Estimation of scale functions to model heteroscedasticity by regularised kernel-based quantile methods." Journal of Nonparametric Statistics 26, no. 2 (2014): 219–39. http://dx.doi.org/10.1080/10485252.2013.875547.

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45

Yu, Liju, and Jingjun Zhang. "Global solution to the complex short pulse equation." Electronic Research Archive 32, no. 8 (2024): 4809–27. http://dx.doi.org/10.3934/era.2024220.

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<p>This paper deals with global well-posedness of the solution to the complex short pulse equation. We first use regularized technology and the approximation argument to prove the local existence and uniqueness of this equation. Then, based on conserved quantities and energy analysis, we show that the solution can be extended globally in time for suitably small initial data.</p>

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46

Gunzburger, Max, Traian Iliescu, and Michael Schneier. "A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows." IMA Journal of Numerical Analysis 40, no. 2 (2019): 886–913. http://dx.doi.org/10.1093/imanum/dry094.

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Abstract Partial differential equations (PDEs) are often dependent on input quantities that are uncertain. To quantify this uncertainty PDEs must be solved over a large ensemble of parameters. Even for a single realization this can be a computationally intensive process. In the case of flows governed by the Navier–Stokes equations, an efficient method has been devised for computing an ensemble of solutions. To further reduce the computational cost of this method, an ensemble-proper orthogonal decomposition (POD) method was recently proposed. The main contribution of this work is the introducti

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47

Kumar, Arun, Rahul Kumar Walia, and Sushant G. Ghosh. "Bardeen Black Holes in the Regularized 4D Einstein–Gauss–Bonnet Gravity." Universe 8, no. 4 (2022): 232. http://dx.doi.org/10.3390/universe8040232.

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We obtain exact Bardeen black holes to the regularized 4D Einstein–Gauss–Bonnet (EGB) gravity minimally coupled with the nonlinear electrodynamics (NED). In turn, we analyze the horizon structure to determine the effect of GB parameter α on the minimum cutoff values of mass, M0, and magnetic monopole charge, g0, for the existence of a black hole horizon. We obtain an exact expression for thermodynamic quantities, namely, Hawking temperature T+, entropy S+, Helmholtz free energy F+, and specific heat C+ associated with the black hole horizon, and they show significant deviations from the 4D EGB

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48

Momoniat, E. "A Modified Equation Approach to Selecting a Nonstandard Finite Difference Scheme Applied to the Regularized Long Wave Equation." Abstract and Applied Analysis 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/754543.

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Two nonstandard finite difference schemes are derived to solve the regularized long wave equation. The criteria for choosing the “best” nonstandard approximation to the nonlinear term in the regularized long wave equation come from considering the modified equation. The two “best” nonstandard numerical schemes are shown to preserve conserved quantities when compared to an implicit scheme in which the nonlinear term is approximated in the usual way. Comparisons to the single solitary wave solution show significantly better results, measured in theL2andL∞norms, when compared to results obtained

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49

Ajeel, Sherzad M., and Hussein A. Hashem. "Comparison Some Robust Regularization Methods in Linear Regression via Simulation Study." Academic Journal of Nawroz University 9, no. 2 (2020): 244. http://dx.doi.org/10.25007/ajnu.v9n2a818.

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In this paper, we reviewed some variable selection methods in linear regression model. Conventional methodologies such as the Ordinary Least Squares (OLS) technique is one of the most commonly used method in estimating the parameters in linear regression. But the OLS estimates performs poorly when the dataset suffer from outliers or when the assumption of normality is violated such as in the case of heavy-tailed errors. To address this problem, robust regularized regression methods like Huber Lasso (Rosset and Zhu, 2007) and quantile regression (Koenker and Bassett ,1978] were proposed. This p

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Mohammed, F. A. "Soliton solutions for some nonlinear models in mathematical physics via conservation laws." AIMS Mathematics 7, no. 8 (2022): 15075–93. http://dx.doi.org/10.3934/math.2022826.

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<abstract><p>In this paper, we derive the soliton solutions from conserved quantities for the Benjamin-Bona-Mahoney equation with dual-power law nonlinearity (BBM), modified regularized long wave (MRLW) equation, modified nonlinearly dispersive KdV equations 2K(2, 2, 1) and 3K(3, 2, 2) equation, which are constructed by the multiplier approach (variational derivative method). Finally, we give the numerical simulations to illustrate this method.</p></abstract>

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