1,783
Views
99
CrossRef citations to date
0
Altmetric
Original Articles

CMARS: a new contribution to nonparametric regression with multivariate adaptive regression splines supported by continuous optimization

, , , &
Pages 371-400 | Received 13 Mar 2010, Accepted 17 Aug 2011, Published online: 19 Oct 2011

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (14)

Cheng Qian, Hexiang Wang, Dezhen Yang, Yi Ren, Bo Sun & Zili Wang. (2023) Signal drift modeling and analysis of an intelligent instrument using a multivariate adaptive regression splines technique. Instrumentation Science & Technology 0:0, pages 1-16.
Read now
A. Miller, A.J. Mulholland, K.M.M. Tant, S.G. Pierce, B. Hughes & A.B. Forbes. (2021) Reconstruction of refractive index maps using photogrammetry. Inverse Problems in Science and Engineering 29:13, pages 2696-2718.
Read now
Pakize Taylan, Fatma Yerlikaya-Özkurt, Burcu Bilgiç Uçak & Gerhard-Wilhelm Weber. (2021) A new outlier detection method based on convex optimization: application to diagnosis of Parkinson’s disease. Journal of Applied Statistics 48:13-15, pages 2421-2440.
Read now
Gül Bahar Bülbül & Vilda Purutçuoglu. (2021) Novel model selection criteria for LMARS: MARS designed for biological networks. Journal of Statistical Computation and Simulation 91:9, pages 1749-1761.
Read now
M. Romanovski. (2021) A reconstruction of object properties with significant uncertainties. Inverse Problems in Science and Engineering 29:3, pages 318-364.
Read now
Nurullah Yilmaz & Ahmet Sahiner. (2019) New Smoothing Approximations to Piecewise Smooth Functions and Applications. Numerical Functional Analysis and Optimization 40:5, pages 513-534.
Read now
Melih Ağraz & Vilda Purutçuoğlu. (2019) Extended lasso-type MARS (LMARS) model in the description of biological network. Journal of Statistical Computation and Simulation 89:1, pages 1-14.
Read now
Onder Nazim Onak, Yesim Serinagaoglu Dogrusoz & Gerhard Wilhelm Weber. (2018) Effects of a priori parameter selection in minimum relative entropy method on inverse electrocardiography problem. Inverse Problems in Science and Engineering 26:6, pages 877-897.
Read now
Ezgi Ayyıldız, Melih Ağraz & Vilda Purutçuoğlu. (2017) MARS as an alternative approach of Gaussian graphical model for biochemical networks. Journal of Applied Statistics 44:16, pages 2858-2876.
Read now
O. Palancı, S.Z. Alparslan Gök, S. Ergün & G.-W. Weber. (2015) Cooperative grey games and the grey Shapley value. Optimization 64:8, pages 1657-1668.
Read now
Semih Kuter, Gerhard-Wilhelm Weber, Zuhal Akyürek & Ayşe Özmen. (2015) Inversion of top of atmospheric reflectance values by conic multivariate adaptive regression splines. Inverse Problems in Science and Engineering 23:4, pages 651-669.
Read now
Fatma Yerlikaya-Özkurt, Aysegul Askan & Gerhard-Wilhelm Weber. (2014) An alternative approach to the ground motion prediction problem by a non-parametric adaptive regression method. Engineering Optimization 46:12, pages 1651-1668.
Read now
Ahmet Şahiner, Nurullah Yilmaz & Ozan Demirozer. (2014) Mathematical modeling and an application of the filled function method in entomology. International Journal of Pest Management 60:3, pages 232-237.
Read now
A. Özmen, E. Kropat & G.-W. Weber. (2014) Spline regression models for complex multi-modal regulatory networks. Optimization Methods and Software 29:3, pages 515-534.
Read now

Articles from other publishers (85)

Liqi Lin, Pengrui Li, Qinghua Wang, Binnan Bai, Ruifang Cui, Zhenxia Yu, Dongrui Gao & Yongqing Zhang. (2024) An EEG-based cross-subject interpretable CNN for game player expertise level classification. Expert Systems with Applications 237, pages 121658.
Crossref
Jitendra Sharma & Subrata Kumar Mitra. (2024) Developing a used car pricing model applying Multivariate Adaptive regression Splines approach. Expert Systems with Applications 236, pages 121277.
Crossref
Victor J. España, Juan Aparicio, Xavier Barber & Miriam Esteve. (2024) Estimating production functions through additive models based on regression splines. European Journal of Operational Research 312:2, pages 684-699.
Crossref
Fatma Yerlikaya-Özkurt, Ceyda Yazıcı & İnci Batmaz. (2023) cmaRs: A powerful predictive data mining package in R. SoftwareX 24, pages 101553.
Crossref
Tomasz Ewertowski, Buse Çisil Güldoğuş, Semih Kuter, Süreyya Akyüz, Gerhard-Wilhelm Weber, Joanna Sadłowska-Wrzesińska & Elżbieta Racek. (2023) The use of machine learning techniques for assessing the potential of organizational resilience. Central European Journal of Operations Research.
Crossref
Kazem Meidani & Amir Barati Farimani. (2023) Identification of parametric dynamical systems using integer programming. Expert Systems with Applications 219, pages 119622.
Crossref
Rana Muhammad Adnan, Tayeb Sadeghifar, Meysam Alizamir, Masouad Torabi Azad, Oleg Makarynskyy, Ozgur Kisi, Reza Barati & Kaywan Othman Ahmed. (2023) Short-term probabilistic prediction of significant wave height using bayesian model averaging: Case study of chabahar port, Iran. Ocean Engineering 272, pages 113887.
Crossref
Ayşe Özmen. (2021) Sparse regression modeling for short- and long‐term natural gas demand prediction. Annals of Operations Research 322:2, pages 921-946.
Crossref
Magdalena Graczyk-Kucharska, Robert Olszewski & Gerhard-Wilhelm Weber. (2022) The use of spatial data mining methods for modeling HR challenges of generation Z in greater Poland Region. Central European Journal of Operations Research 31:1, pages 205-237.
Crossref
Nazila Adabavazeh, Mehrdad Nikbakht & Erfan Babaee Tirkolaee. (2023) Identifying and prioritizing resilient health system units to tackle the COVID-19 pandemic. Socio-Economic Planning Sciences 85, pages 101452.
Crossref
Alexandros M. Pasiouras, Apostolos N. Burnetas & Athanasios N. Yannacopoulos. (2023) Bayesian inversion techniques for stochastic partial differential equations. Journal of Industrial and Management Optimization 0:0, pages 0-0.
Crossref
Yu Liu, Chun-xiang Guo, Hong Zhou & Xin-yi Chen. (2023) Pre-sale ordering strategy based on the new retail context considering bounded consumer rationality. Journal of Industrial and Management Optimization 19:2, pages 1015.
Crossref
Dilek SABANCI & Mehmet Ali CENGİZ. (2022) Random Ensemble MARS: Model Selection in Multivariate Adaptive Regression Splines Using Random Forest Approach. Journal of New Theory:40, pages 27-45.
Crossref
Nafisa Mahbub, Anh Le & Jun Zhuang. (2020) Online crowd-funding strategy: a game-theoretical approach to a Kickstarter case study. Annals of Operations Research 315:2, pages 1019-1036.
Crossref
Larisa Yakimova. 2022. Research Anthology on Business Continuity and Navigating Times of Crisis. Research Anthology on Business Continuity and Navigating Times of Crisis 178 201 .
Magdalena Graczyk-Kucharska, Robert Olszewski, Marek Golinski, Malgorzata Spychala, Maciej Szafranski, Gerhard Wilhelm Weber & Marek Miadowicz. (2022) Human resources optimization with MARS and ANN: Innovation geolocation model for generation Z. Journal of Industrial and Management Optimization 18:6, pages 4093.
Crossref
Ayse Ozmen. (2022) Multi-objective regression modeling for natural gas prediction with ridge regression and CMARS. An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 12:1, pages 56-65.
Crossref
Anirban Banik, Mrinmoy Majumder, Sushant Kumar Biswal & Tarun Kanti Bandyopadhyay. (2021) Polynomial neural network-based group method of data handling algorithm coupled with modified particle swarm optimization to predict permeate flux (%) of rectangular sheet-shaped membrane. Chemical Papers 76:1, pages 79-97.
Crossref
Marek Goliński, Małgorzata Spychała & Marek Miądowicz. 2022. Innovations in Mechatronics Engineering. Innovations in Mechatronics Engineering 351 365 .
Zhiwei Guo, Keping Yu, Alireza Jolfaei, Ali Kashif Bashir, Alaa Omran Almagrabi & Neeraj Kumar. (2021) Fuzzy Detection System for Rumors Through Explainable Adaptive Learning. IEEE Transactions on Fuzzy Systems 29:12, pages 3650-3664.
Crossref
Pierre Masselot, Fateh Chebana, Céline Campagna, Éric Lavigne, Taha B.M.J. Ouarda & Pierre Gosselin. (2021) Machine Learning Approaches to Identify Thresholds in a Heat-Health Warning System Context. Journal of the Royal Statistical Society Series A: Statistics in Society 184:4, pages 1326-1346.
Crossref
Frank Bodendorf, Philipp Merkl & Jörg Franke. (2021) Intelligent cost estimation by machine learning in supply management: A structured literature review. Computers & Industrial Engineering 160, pages 107601.
Crossref
Harun Yonar & Neslihan İyit. (2021) Some Generalized Estimating Equations Models Based on Causality Tests for Investigation of The Economic Growth of The Country Groups. Foundations of Computing and Decision Sciences 46:3, pages 297-315.
Crossref
Brandon Victor, Aiden Nibali, Zhen He & David L. Carey. (2021) Enhancing trajectory prediction using sparse outputs: application to team sports. Neural Computing and Applications 33:18, pages 11951-11962.
Crossref
Levent Erişkin. (2021) Preference modelling in sorting problems: Multiple criteria decision aid and statistical learning perspectives. Journal of Multi-Criteria Decision Analysis 28:5-6, pages 203-219.
Crossref
Xinglong Ju, Victoria C.P. Chen, Jay M. Rosenberger & Feng Liu. (2021) Fast knot optimization for multivariate adaptive regression splines using hill climbing methods. Expert Systems with Applications 171, pages 114565.
Crossref
Mohammad Ali Sahraei, Hakan Duman, Muhammed Yasin Çodur & Ecevit Eyduran. (2021) Prediction of transportation energy demand: Multivariate Adaptive Regression Splines. Energy 224, pages 120090.
Crossref
A Afrilia, A Joharudin, M Zaky, B Budiman & M Fauziah. (2021) Credit scoring model using MARS method to comply with FSA regulation. Journal of Physics: Conference Series 1869:1, pages 012135.
Crossref
Gulsah Altinok, Pinar Karagoz & Inci Batmaz. (2020) Learning to rank by using multivariate adaptive regression splines and conic multivariate adaptive regression splines. Computational Intelligence 37:1, pages 371-408.
Crossref
Yılmaz Akdi & Kamil Demirberk Ünlü. (2020) Periodicity in precipitation and temperature for monthly data of Turkey. Theoretical and Applied Climatology 143:3-4, pages 957-968.
Crossref
Andrea Quintiliani. 2021. Research Anthology on Small Business Strategies for Success and Survival. Research Anthology on Small Business Strategies for Success and Survival 1097 1116 .
Shangbo Zhou, Yuxiao Han, Long Sha & Shufang Zhu. (2021) A multi-sample particle swarm optimization algorithm based on electric field force. Mathematical Biosciences and Engineering 18:6, pages 7464-7489.
Crossref
Dadang Priyanto, Muhammad Zarlis, Herman Mawengkang & Syahril Efendi. (2020) Analysis of Seismic Hazard Prediction Using Non Parametric Conic Multivariate Adaptive Regression Splines (C-Mars) Methods. Journal of Physics: Conference Series 1641:1, pages 012057.
Crossref
Yasin Okkaoğlu, Yılmaz Akdi & Kamil Demirberk Ünlü. (2020) Daily PM10, periodicity and harmonic regression model: The case of London. Atmospheric Environment 238, pages 117755.
Crossref
Rahmad Syah, Marischa Elveny, M. K.M Nasution & Gerhard Wilhelm Weber. (2020) Enhanced Knowledge Acceleration Estimator Optimally with MARS to Business Metrics in Merchant Ecosystem. Enhanced Knowledge Acceleration Estimator Optimally with MARS to Business Metrics in Merchant Ecosystem.
Dadang Priyanto, Muhammad Zarlis, Herman Mawengkang & Syahril Efendi. (2020) Approach of Analysis of Data Mining Prediction In Earthquake Case Using Non Parametric Adaptive Regression Method. International Journal of Scientific Research in Computer Science, Engineering and Information Technology, pages 247-253.
Crossref
R Syah, M K M Nasution, E B Nababan & S Efendi. (2020) Optimization Metrics Model: The Mobile Wallet for Merchant Ecosystem. Journal of Physics: Conference Series 1566, pages 012124.
Crossref
Christos Katris. (2019) Prediction of Unemployment Rates with Time Series and Machine Learning Techniques. Computational Economics 55:2, pages 673-706.
Crossref
Gamze Nalcaci, Ayse Özmen & Gerhard Wilhelm Weber. (2018) Long-term load forecasting: models based on MARS, ANN and LR methods. Central European Journal of Operations Research 27:4, pages 1033-1049.
Crossref
Snezhana Georgieva Gocheva-Ilieva, Desislava Stoyanova Voynikova, Maya Plamenova Stoimenova, Atanas Valev Ivanov & Iliycho Petkov Iliev. (2019) Regression trees modeling of time series for air pollution analysis and forecasting. Neural Computing and Applications 31:12, pages 9023-9039.
Crossref
Mingfeng Li, Lichen Zhao, Ding Tan & Xiaozhe Tong. (2019) BLE Fingerprint Indoor Localization Algorithm Based on Eight-Neighborhood Template Matching. Sensors 19:22, pages 4859.
Crossref
Ammara Mehmood, Aneela Zameer, Muhammad Asif Zahoor Raja, Rabia Bibi, Naveed Ishtiaq Chaudhary & Muhammad Saeed Aslam. (2018) Nature-inspired heuristic paradigms for parameter estimation of control autoregressive moving average systems. Neural Computing and Applications 31:10, pages 5819-5842.
Crossref
E. C. Erkuş, V. Purutçuoğlu & E. Purutçuoğlu. (2019) Detection of abnormalities in heart rate using multiple Fourier transforms. International Journal of Environmental Science and Technology 16:9, pages 5237-5242.
Crossref
Michal Černý. (2019) Narrow big data in a stream: Computational limitations and regression. Information Sciences 486, pages 379-392.
Crossref
Loris Nanni, Sheryl Brahnam, Christian Salvatore & Isabella Castiglioni. (2019) Texture descriptors and voxels for the early diagnosis of Alzheimer’s disease. Artificial Intelligence in Medicine 97, pages 19-26.
Crossref
V V Bukhtoyarov, V S Tynchenko, E A Petrovsky, S G Dokshanin & V V Kukartsev. (2019) Research of methods for design of regression models of oil and gas refinery technological units. IOP Conference Series: Materials Science and Engineering 537:4, pages 042078.
Crossref
Önder Nazım Onak, Yesim Serinagaoglu Dogrusoz & Gerhard Wilhelm Weber. (2018) Evaluation of multivariate adaptive non-parametric reduced-order model for solving the inverse electrocardiography problem: a simulation study. Medical & Biological Engineering & Computing 57:5, pages 967-993.
Crossref
Jenicka S.. 2019. Environmental Information Systems. Environmental Information Systems 1247 1283 .
Dominik Spinczyk, Michał Maćkowski, Wojciech Kempa & Katarzyna Rojewska. (2019) Factors influencing the process of learning mathematics among visually impaired and blind people. Computers in Biology and Medicine 104, pages 1-9.
Crossref
Pakize Taylan & Gerhard Wilhelm Weber. 2019. Mathematical Methods in Engineering. Mathematical Methods in Engineering 121 136 .
Yusuf Karadede & Gültekin Özdemir. (2018) A hierarchical soft computing model for parameter estimation of curve fitting problems. Soft Computing 22:20, pages 6937-6964.
Crossref
Ufuk Kırbaş. (2018) IRI Sensitivity to the Influence of Surface Distress on Flexible Pavements. Coatings 8:8, pages 271.
Crossref
Semih Kuter, Zuhal Akyurek & Gerhard-Wilhelm Weber. (2018) Retrieval of fractional snow covered area from MODIS data by multivariate adaptive regression splines. Remote Sensing of Environment 205, pages 236-252.
Crossref
Ayşe Özmen, Yavuz Yılmaz & Gerhard-Wilhelm Weber. (2018) Natural gas consumption forecast with MARS and CMARS models for residential users. Energy Economics 70, pages 357-381.
Crossref
Quintiliani Andrea. (2018) Expected cost of financial distress in small and medium-sized enterprises (SMEs): A German-Italian comparison. African Journal of Business Management 12:1, pages 21-33.
Crossref
Jenicka S.. 2018. Optimization Techniques for Problem Solving in Uncertainty. Optimization Techniques for Problem Solving in Uncertainty 226 261 .
Larisa Yakimova. 2018. Fractal Approaches for Modeling Financial Assets and Predicting Crises. Fractal Approaches for Modeling Financial Assets and Predicting Crises 115 138 .
Andrea Quintiliani. 2018. Fractal Approaches for Modeling Financial Assets and Predicting Crises. Fractal Approaches for Modeling Financial Assets and Predicting Crises 81 99 .
Jenicka S. 2018. Handbook of Research on Emergent Applications of Optimization Algorithms. Handbook of Research on Emergent Applications of Optimization Algorithms 579 613 .
Jenicka S. 2018. Handbook of Research on Emergent Applications of Optimization Algorithms. Handbook of Research on Emergent Applications of Optimization Algorithms 326 363 .
Siyu Zhao, Ruiqing Zheng, Xiang Chen, Yaohang Li, Fang-Xiang Wu & Min Li. 2018. Bioinformatics Research and Applications. Bioinformatics Research and Applications 38 48 .
Gökçe Tuncer & Vilda Purutçuoğlu. 2018. Modeling, Dynamics, Optimization and Bioeconomics III. Modeling, Dynamics, Optimization and Bioeconomics III 443 467 .
Inci Batmaz, Pinar Karagoz & Gulsah Serdar. (2017) A comparative study on learning to rank with computational methods. A comparative study on learning to rank with computational methods.
Alper Çevik, Gerhard-Wilhelm Weber, B. Murat Eyüboğlu & Kader Karlı Oğuz. (2017) Voxel-MARS: a method for early detection of Alzheimer’s disease by classification of structural brain MRI. Annals of Operations Research 258:1, pages 31-57.
Crossref
Semih Kuter, Gerhard-Wilhelm Weber & Zuhal Akyürek. (2016) A progressive approach for processing satellite data by operational research. Operational Research 17:2, pages 371-393.
Crossref
Zhi Li & De-qing Tan. (2017) Two-Stage Dynamic Pricing and Advertising Strategies for Online Video Services. Discrete Dynamics in Nature and Society 2017, pages 1-8.
Crossref
Semih Kuter, Zuhal Akyürek, Nazan Kuter & Gerhard-Wilhelm Weber. 2017. Modeling, Dynamics, Optimization and Bioeconomics II. Modeling, Dynamics, Optimization and Bioeconomics II 267 292 .
Ufuk Kırbaş & Mustafa Karaşahin. (2016) Performance models for hot mix asphalt pavements in urban roads. Construction and Building Materials 116, pages 281-288.
Crossref
Doruk Bozağaç, İnci Batmaz & Halit Oğuztüzün. (2016) Dynamic simulation metamodeling using MARS: A case of radar simulation. Mathematics and Computers in Simulation 124, pages 69-86.
Crossref
Fatih Yaman, Asim Egemen Yilmaz & Kemal Leblebicioğlu. (2016) Approximation based curvilinear local search for optimization problems. Engineering Computations 33:2.
Crossref
Ngaam J. Cheung, Zhen-Kai Xu, Xue-Ming Ding & Hong-Bin Shen. (2015) Modeling nonlinear dynamic biological systems with human-readable fuzzy rules optimized by convergent heterogeneous particle swarm. European Journal of Operational Research 247:2, pages 349-358.
Crossref
Ceyda Yazıcı, Fatma Yerlikaya-Özkurt & İnci Batmaz. (2015) A computational approach to nonparametric regression: bootstrapping CMARS method. Machine Learning 101:1-3, pages 211-230.
Crossref
Elcin Kartal Koc & Hamparsum Bozdogan. (2014) Model selection in multivariate adaptive regression splines (MARS) using information complexity as the fitness function. Machine Learning 101:1-3, pages 35-58.
Crossref
Ayşe Özmen, İnci Batmaz & Gerhard-Wilhelm Weber. (2014) Precipitation Modeling by Polyhedral RCMARS and Comparison with MARS and CMARS. Environmental Modeling & Assessment 19:5, pages 425-435.
Crossref
Elcin Kartal Koc, Cem Iyigun, İnci Batmaz & Gerhard-Wilhelm Weber. (2014) Efficient adaptive regression spline algorithms based on mapping approach with a case study on finance. Journal of Global Optimization 60:1, pages 103-120.
Crossref
Elcin Kartal Koc & Cem Iyigun. (2013) Restructuring forward step of MARS algorithm using a new knot selection procedure based on a mapping approach. Journal of Global Optimization 60:1, pages 79-102.
Crossref
Noam Goldberg, Youngdae Kim, Sven Leyffer & Thomas D. Veselka. (2014) Adaptively refined dynamic program for linear spline regression. Computational Optimization and Applications 58:3, pages 523-541.
Crossref
Ayşe Özmen & Gerhard Wilhelm Weber. (2014) RMARS: Robustification of multivariate adaptive regression spline under polyhedral uncertainty. Journal of Computational and Applied Mathematics 259, pages 914-924.
Crossref
F. Yerlikaya-Özkurt, C. Vardar-Acar, Y. Yolcu-Okur & G.-W. Weber. (2014) Estimation of the Hurst parameter for fractional Brownian motion using the CMARS method. Journal of Computational and Applied Mathematics 259, pages 843-850.
Crossref
Fatma Yerlikaya-Özkurt, İnci Batmaz & Gerhard-Wilhelm Weber. 2014. Modeling, Dynamics, Optimization and Bioeconomics I. Modeling, Dynamics, Optimization and Bioeconomics I 695 722 .
Semih Kuter, Gerhard Wilhelm Weber, Ayşe Özmen & Zuhal Akyürek. 2014. Modeling, Dynamics, Optimization and Bioeconomics I. Modeling, Dynamics, Optimization and Bioeconomics I 469 485 .
Gökmen Zararsiz & Erdal Coşgun. 2014. miRNomics: MicroRNA Biology and Computational Analysis. miRNomics: MicroRNA Biology and Computational Analysis 129 155 .
Yunwen Lei, Lixin Ding & Weili Wu. (2013) Universal learning using free multivariate splines. Neurocomputing 119, pages 253-263.
Crossref
Chandra Sekhar Pedamallu, Linet Ozdamar, Hanife Akar, Gerhard-Wilhelm Weber & Ayşegül Özsoy. (2012) Investigating academic performance of migrant students: A system dynamics perspective with an application to Turkey. International Journal of Production Economics 139:2, pages 422-430.
Crossref
Elçin Kartal-Koç, İnci Batmaz & Gerhard-Wilhelm Weber. 2012. Advances in Intelligent Modelling and Simulation. Advances in Intelligent Modelling and Simulation 221 251 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.