Dissertations / Theses on the topic 'Multivariate Adaptive Regression Splines'
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Kriner, Monika. "Survival Analysis with Multivariate adaptive Regression Splines." Diss., lmu, 2007. http://nbn-resolving.de/urn:nbn:de:bvb:19-73695.
Full textStevens, James G. "An investigation of multivariate adaptive regression splines for modeling and analysis of univariate and semi-multivariate time series systems." Thesis, Monterey, California. Naval Postgraduate School, 1991. http://hdl.handle.net/10945/26601.
Full textYazici, Ceyda. "A Computational Approach To Nonparametric Regression: Bootstrapping Cmars Method." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613708/index.pdf.
Full textStull, Kyra Elizabeth. "An osteometric evaluation of age and sex differences in the long bones of South African children from the Western Cape." Thesis, University of Pretoria, 2013. http://hdl.handle.net/2263/40263.
Full textThesis (PhD)--University of Pretoria, 2013.
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Anatomy
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Pawar, Roshan. "Predicting bid prices in construction projects using non-parametric statistical models." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1464.
Full textLin, Yao. "An Efficient Robust Concept Exploration Method and Sequential Exploratory Experimental Design." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/4799.
Full textYue, Yu. "Spatially adaptive priors for regression and spatial modeling." Diss., Columbia, Mo. : University of Missouri-Columbia, 2008. http://hdl.handle.net/10355/6059.
Full textThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on August 3, 2009) Vita. Includes bibliographical references.
Schubert, Daniel Dice. "A multivariate adaptive trimmed likelihood algorithm /." Access via Murdoch University Digital Theses Project, 2005. http://wwwlib.murdoch.edu.au/adt/browse/view/adt-MU20061019.132720.
Full textKartal, Koc Elcin. "An Algorithm For The Forward Step Of Adaptive Regression Splines Via Mapping Approach." Phd thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12615012/index.pdf.
Full textand in the second one, the least contributing basis functions to the overall fit are eliminated. In the conventional adaptive spline procedure, knots are selected from a set of distinct data points that makes the forward selection procedure computationally expensive and leads to high local variance. To avoid these drawbacks, it is possible to select the knot points from a subset of data points, which leads to data reduction. In this study, a new method (called S-FMARS) is proposed to select the knot points by using a self organizing map-based approach which transforms the original data points to a lower dimensional space. Thus, less number of knot points is enabled to be evaluated for model building in the forward selection of MARS algorithm. The results obtained from simulated datasets and of six real-world datasets show that the proposed method is time efficient in model construction without degrading the model accuracy and prediction performance. In this study, the proposed approach is implemented to MARS and CMARS methods as an alternative to their forward step to improve them by decreasing their computing time
Sheppard, Therese. "Extending covariance structure analysis for multivariate and functional data." Thesis, University of Manchester, 2010. https://www.research.manchester.ac.uk/portal/en/theses/extending-covariance-structure-analysis-for-multivariate-and-functional-data(e2ad7f12-3783-48cf-b83c-0ca26ef77633).html.
Full textOzmen, Ayse. "Robust Conic Quadratic Programming Applied To Quality Improvement -a Robustification Of Cmars." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612513/index.pdf.
Full textit is more model-based and employs continuous, actually, well-structured convex optimization which enables the use of Interior Point Methods and their codes such as MOSEK. In this study, we are generalizing the regression problem by including uncertainty in the model, especially, in the input data, too. CMARS, recently developed as an alternative method to MARS, is powerful in overcoming complex and heterogeneous data. However, for MARS and CMARS method, data are assumed to contain fixed variables. In fact, data include noise in both output and input variables. Consequently, optimization problem&rsquo
s solutions can show a remarkable sensitivity to perturbations in the parameters of the problem. In this study, we include the existence of uncertainty in the future scenarios into CMARS and robustify it with robust optimization which is dealt with data uncertainty. That kind of optimization was introduced by Aharon Ben-Tal and Arkadi Nemirovski, and used by Laurent El Ghaoui in the area of data mining. It incorporates various kinds of noise and perturbations into the programming problem. This robustification of CQP with robust optimization is compared with previous contributions that based on Tikhonov regularization, and with the traditional MARS method.
Tomek, Peter. "Approximation of Terrain Data Utilizing Splines." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2012. http://www.nusl.cz/ntk/nusl-236488.
Full textOubida, Regis Wendpouire. "Partitioning of multivariate phenotypes using regression trees reveals complex patterns of adaptation to climate across the range of black cottonwood (Populus trichocarpa)." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/56619.
Full textMaster of Science
Kidzinski, Lukasz. "Inference for stationary functional time series: dimension reduction and regression." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209226.
Full textL'objectif principal de ce projet de doctorat est d'analyser la dépendance temporelle de l’ADF. Cette dépendance se produit, par exemple, si les données sont constituées à partir d'un processus en temps continu qui a été découpé en segments, les jours par exemple. Nous sommes alors dans le cadre des séries temporelles fonctionnelles.
La première partie de la thèse concerne la régression linéaire fonctionnelle, une extension de la régression multivariée. Nous avons découvert une méthode, basé sur les données, pour choisir la dimension de l’estimateur. Contrairement aux résultats existants, cette méthode n’exige pas d'assomptions invérifiables.
Dans la deuxième partie, on analyse les modèles linéaires fonctionnels dynamiques (MLFD), afin d'étendre les modèles linéaires, déjà reconnu, dans un cadre de la dépendance temporelle. Nous obtenons des estimateurs et des tests statistiques par des méthodes d’analyse harmonique. Nous nous inspirons par des idées de Brillinger qui a étudié ces models dans un contexte d’espaces vectoriels.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished
Chang, Yi-Chen, and 張益城. "Multivariate Adaptive Regression Splines on Loss Reserve." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/73009419260625267884.
Full text東吳大學
財務工程與精算數學系
104
Loss reserve is the insurer’s estimated total financial obligation for the claims that have not yet been paid, claims from policies written in the past. Estimate the loss reserve is one of the most important tasks for actuaries. Most popular methods in non-life loss reserving are Chain Ladder (CL) method, Expected Claims (EC) method, Bornhuetter-Ferguson (BF) method and Cape Cod (CC) method. These method not only easy to understand, has the beauty of simplicity, but also includes actuaries own experience. These methods are good for stable and short tailed type insurance, unknown for unstable and long tailed type contract. In this study we propose to use Multivariate Adaptive Regression Splines (MARS) to estimate the Loss Reserve. A set of real data is used. It is the claim data of general liability from one of Taiwan’s general insurance companies. General liability insurance covers variety of claims and, as result, severity is highly uncertain. We use this data to demonstrate the method of MARS estimation and verify tit’s accuracy. This data contains 20 accident quarters’ quarterly paid data for 20 development quarters, along with the earned premium. The 20 by 20 data are divided into two parts; the upper triangle is used for modeling purpose and the lower triangle for out-sample checking. We assume that the ultimate loss can be obtained by the fifth developing year, and calculate the severity at the end of fifth development year via MARS and four methods mentioned previously. Comparisons of the loss reserving and the actual severity are given: (1) MARS and CC methods are overestimate, slightly overestimate for the former and highly overestimate for the later method. (2) Other three methods are under estimate; BF method is slightly under estimate, results from EC and CL method are close, and CL method is the least favorable method. (3) In view of loss reserve should sufficient, but should not over conservative, for general liability insurance, we recommend MARS method over the other methods.
Lo, Hong Jie, and 羅宏杰. "Financial time series forecasting using multivariate adaptive regression splines." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/35714713071739540617.
Full textKriner, Monika [Verfasser]. "Survival analysis with multivariate adaptive regression splines / vorgelegt von Monika Kriner." 2007. http://d-nb.info/985556692/34.
Full textCheng, Chi-Heng, and 鄭啟亨. "Real Estate Price Estimates Using Evolutionary Fuzzy Multivariate Adaptive Regression Splines." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/60903943293709995625.
Full text國立臺灣科技大學
營建工程系
103
Nowadays, the real estate prices are often estimates by the Real Estate Appraisers use of professional knowledge, experience, relevant information and precise judgment. But the different estimators will have different results. Nevertheless, this estimation is vulnerable due to human bias. To eliminate possible human bias made by appraisers. The research objective is to establish an Evolutionary Fuzzy Multivariate Adaptive Regression Splines (EFMARS) model, based on the hedonic pricing concept, to predict urban real estate price. Literature review summarizes 10 features that commonly show up for the hedonic pricing approach. The data collection targets at historical housing transactions in Taipei city Daan and Zhong Cheng district from Jan, 2014 to Dec, 2014. The total of 406 were collected. The study assessed model performance using the k-fold cross validation method and a stratified 10-fold cross validation approach. The results demonstrate that the proposed model reaches under 10% in MAPE. Compared with other modules, the result is also better than the Support Vector Machine (SVM), Neural Network (NN) and Regression, display model has a certain credibility.
Huang, Cheng-Feng, and 黃正鳳. "A Hybrid Classification Technique Using Neural Networks and Multivariate Adaptive Regression Splines." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/86700576097678634644.
Full text輔仁大學
應用統計學研究所
90
Data mining is a very popular technique and has been widely applied in different areas these days. The artificial neural network is becoming a very popular alternative in prediction and classification task due to its associated memory characteristic and generalization capability. The objective of the proposed study is to explore the performance of data classification by integrating the artificial neural networks with the multivariate adaptive regression splines (MARS) approach. The rational under the analyses is firstly to use MARS in modeling the classification problem, then the obtained significant variables are then used as the input variables of the designed neural network model. To demonstrate the inclusion of the classification result from the multivariate adaptive regression splines would improve the classification accuracy of the networks, classification tasks are performed on one breast cancer data sets. As the results reveal, the proposed integrated approach outperforms the results using discriminant analysis, multivariate adaptive regression splines, classification and regression tree and artificial neural networks and hence provides an alternative in handling classification problems.
Yeh, Su-Mei, and 葉素美. "Using Neural Networks and Multivariate Adaptive Regression Splines in Exchange Rate Forecasting." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/25506987259006998879.
Full text輔仁大學
應用統計學研究所
90
The development of Taiwan’s economy, as being an island in the Asian Pacific, heavily depends on international trade. And hence the profit margin of import/export traders is seriously impacted by foreign currency exchange rates. Fixed or stable exchange rate will definitely reduce the business risk of international traders. As Taiwan is relaxing the restriction of capital movement and trying to become the financial center of Asia Pacific region, a precise forecasting of the exchange rates is therefore an absolute necessity in implementing proper investment/financial decisions. The purpose of this research is to investigate the performance of three commonly discussed forecasting methods, backpropagation neural networks (BPN), multivariate adaptive regression splines (MARS), and ARIMA models, in exchange rate forecasting. The exchange rates analyzed in this study are five currencies against the US dollar, namely the New Taiwan (NT) dollar, Japanese Yen (Yen), British Pound (BP), Deutsche Mark (DM) and French Franc (FF). Analytic results demonstrate that the out-of-sample forecasts generated by the BPN models has better forecasting results than the other three models in most cases. However, the long training process in deciding the topology of BPN models is a factor needs to be carefully considered. On the other hand, the MARS model saves much more time than neural networks. It can provide reasonably good forecasting, except for the larger error of the weekly exchange rate on US dollar to Japanese Yen. Therefore, MARS provides an alternative in constructing exchange rate forecasting models with good forecasting precision and less model-building time.
I-Fei, Chen, and 陳怡妃. "Mining the Customer Retention Using Artificial Neural Networks and Multivariate Adaptive Regression Splines." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/05760834666953466719.
Full text輔仁大學
管理學研究所
91
It is well know that, from the marketing’s point of view, the relevant cost of retaining an old customer is much lower than that of recruiting a new customer. On the other hand the customer profitability analysis has also gained serious attention since it is unwise to keep an unprofitable customer. As the competition between competitors is coming to a total conflicting stage and the pressure of lowering the marketing cost, more and more companies are seeking better ways to keep the profitable customers. Customer retention and customer profitability analyses both have been intensively studied due to the above-mentioned objectives. However, only very few literatures have tried to target these two subjects at the same time. In order to solve this drawback, this study tries to handle these two problems simultaneously aiming to identify the customers who are profitable but intend to leave. The built model can then provide useful information in implementing strategies in keeping profitable customers. The artificial neural network is becoming a very popular alternative in modeling customer retention and customer profitability problems due to its associated memory characteristic and generalization capability. However, the decision of network’s topology and the long training process has often long been criticized. The objective of the proposed study is to explore the performance of credit scoring by integrating the backpropagation neural networks (BPN) with multivariate adaptive regression splines (MARS) approach. To demonstrate the inclusion of the significant variables obtained from MARS would simplify the network structure and improve the classification accuracy of the designed neural network model, customer retention incorporating customer profitability tasks are performed on one health/fitness data set. As the results reveal, the proposed hybrid approach converges much faster than the conventional neural networks model. Moreover, the classification accuracies increase in terms of the proposed methodology and outperform traditional discriminant analysis, BPN and MARS approaches.
Ching-Yi, Chen, and 陳靜怡. "Forecasting the Unemployment Rate Using Artificial Neural Networks and Multivariate Adaptive Regression Splines." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/34225689236792658781.
Full text輔仁大學
管理學研究所
91
After the presidential election in year 2000, Taiwan’s economy has suffered serious recession. The economic growth rate sharply decreased from 5.29% in the third quarter of year 2000 to 3.02% in the same period in year 2002. At the same time, the unemployment rate has also increased in an unbelievably fast pace. The total number of unemployed people has exceeded 500,000. The government is in dire need of proper strategies in reducing the unemployment rates. The artificial neural networks has become a useful tool for the forecasting of different economic behaviors. It is, however, also been criticized for its slow training process and unable to identify the relative importance of the input variables. The purpose of this research is to propose a two-stage unemployment forecasting model in integrating backpropagation neural network (BPN) and multivariate adaptive regression splines (MARS). Unlike past studies only use past observations or socioeconomic variables in building the forecasting model. This paper tries to incorporate both past observations and socioeconomic variables in building the model. MARS is first used to build the unemployment forecasting model with the obtained significant variables as the input nodes of the BPN model. In order to verify the effectiveness and predictive capability of the proposed two-stage modeling procedure, the monthly unemployment rate from September 1997 to October 2002 was used as an illustrative example. Empirical results indicate that the integrated approach provides significantly better forecasting results than solely using BPN, MARS, and ARIMA models. And the model with both past observations and socioeconomic variables as input variables also provides better results than those models only considering one type of variables
Huang, Ming-Hui, and 黃明輝. "Mining The Performance Of Mutual Funds Using Neural Networks And Multivariate Adaptive Regression Splines." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/84835063760647101602.
Full text輔仁大學
金融研究所
90
Data mining is useful tools to discovery valid, novel, useful, new patterns or unknown relations in the data set or database. We also use data mining technology for finding out rules within database over the induction. Due to its applications to information systems, decision making, fraud detection, business failure prediction, database marketing, and lots of other applications, it has drawn serious attention from both academic researchers and practitioners. The purpose of this research is to investigate the performance of mutual fund bond using two commonly used data mining tools, artificial neural networks (ANNs) and multivariate adaptive regression splines (MARS). Several variables that may affect the performance mentioned in the literature, like the age of the bond fund, the portfolio of the bond fund, the scale of the bond fund, will be used to “predict” whether a particular bond will have the timing ability or not. In order to evaluate the classification capability of ANNs and MARS in mining the timing capability of mutual funds, historical date of 34 Taiwan bond funds from July 1999 to June 2001 will be used in this study. Analytic results demonstrate that MARS has better out-of-sample forecasts than ANNS in terms of average correct classification rates.
Yen, Yu-Ching, and 顏毓靜. "Investigating the Performance of Mutual Fund Using Neural Networks and Multivariate Adaptive Regression Splines." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/61451058087287063443.
Full text輔仁大學
應用統計學研究所
90
Mutual fund has gained more and more attention since it is an efficient and alternative channel for public investors. As the amount invested in mutual fund has gone up steadily during the past decade and its high investment return, it has drawn serious attention from both academic researchers and practitioners. The purpose of this research is to build a classification model suitable for Taiwan’s mutual fund market and provide investors information about fund’s risk and performance. This research tries to investigate the performance of mutual fund in integrating artificial neural networks (ANNs) and multivariate adaptive regression splines (MARS). Several variables that may affect the performance mentioned in the literature, like the age of the bond fund, the portfolio of the bond fund, the scale of the bond fund, will be used to “predict” mutual funds’ risks and returns. MARS is first used to extract important variables which may influence mutual funds’ risks and returns. The obtained significant variables are then used as the input nodes of the designed neural network model to predict its risks and returns. In order to evaluate the classification capability of the proposed two-stage classification technique, historical date of 153 open stock funds are used in this study. Analytic results demonstrate that the integrated approach not only provides better classification accuracies but also saves lots of data processing time. It implies that the variables selected by MARS provide a better initial solution of the designed neural network model and hence provide better classification accuracies.
Lin, Chang-Jui, and 林長瑞. "Demand Forecasting of Chinese Tourists to Taiwan: Application of Multivariate Adaptive Regression Splines, the Artificial Neural Networks and Support Vector Regression." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/7njgg2.
Full text輔仁大學
商學研究所博士班
102
Since the starting of direct cross-strait transportation on August 2009, the number of Chinese visitors to Taiwan increased rapidly. By 2013, the number of Chinese visitors reached 2.87 million. Thus, Chinese visitors have become the most frequent visitors to Taiwan and the major source of foreign exchange earnings in tourism. This study applied three analysis model - multivariate adaptive regression splines (MARS), Artificial Neural Network (ANNs) and Support Vector Regression (SVR). Moreover, MARS combined with ANNs (MARS-ANNs) model and MARS combined with SVR (MARS-SVR) model were used to build the forecasting model for the number of Chinese visitors to Taiwan. MARS-SVR emerged as the best forecasting model and showed that the model combining with two analysis achieves better results compared to individual analysis tools. This study used MARS-SVR predictive model to forecast the number of Chinese visitors to Taiwan in 10 months - 7 months with forecasting error smaller than 5%, 3 months with forecasting error in between 5% to 10%. The accuracy of forecasting individual month is high; therefore, the result of MARS-SVR forecasting model can provide a reference for administrative authority and tourism industry to carry out construction program of tourism industry and plans for tourism activities. Six substantial forecasting variables were selected from eight forecasting variables by applying MARS analysis, which clearly indicated the high and low seasons. Therefore, administrative authority and tourism industry should pay attention to the difference in the number of Chinese visitors to Taiwan between high and low season. Accordingly, it is needed to increase flight times of cross-strait direct flights and additional tourist hotels to increase the transportation and accommodation capacity and serve more Chinese visitors. On the other hand, China’s gross domestic product (GDP), NTD to RMB exchange rate and the world oil price influence the number of Chinese visitors to Taiwan.
Liu, Shin-Yi, and 劉欣儀. "Artificial Neural Network and Multivariate Adaptive Regression Splines in Brand Valuation- Illustrative Examples of Global Top 100 Brands." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/43404779723269868329.
Full text輔仁大學
管理學研究所
96
In recent years, the concept of intangible assets has become a very important research topic. As intangible assets often play roles in measuring the assets or brand value of companies, special attention should be paid to intangible assets in brand valuation. The purpose of this research is to forecast the brand value of global top 100 companies in integrating artificial neural networks and multivariate adaptive regression splines (MARS). The idea behind the model building approach is firstly using MARS to identify the significant input variables of the designed neural network model. Empirical results indicate that the proposed two-stage-hybrid MARS and neural networks forecasting method does have better forecasting capability in terms of the root mean squared error (RMSE) criterion. It therefore provides an alternative in exercising brand valuation. And in terms of the successful identification of the relationship within data, better business modeling can be found and implemented.
Li, Ai-Ti, and 李艾玓. "Enhancement of the Detection Capability of a SPC/EPC System Using Neural Networks and Multivariate Adaptive Regression Splines." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/14602642122419165868.
Full textYueh-Hsia, Lu, and 盧月霞. "Using back propagation network, multivariate adaptive regression splines, and autoregressive integrated moving average to design forecasting models for stock price." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/06346670509726255886.
Full text輔仁大學
管理學研究所
96
Investing in stock market is the most popular and easiest way for investors. Everybody knows trading, but not all can make profit. As Taiwanese stock market doesn’t lie in the scope of efficient markets hypothesis, so investors can use reliable forecasting tools in predicting the trend and variation of stock prices. The purpose of this paper is to investigate the stock market forecasting capability of backpropagation neural network (BPN), multivariate adaptive regression splines (MARS), ARIMA, and hybrid MARS+BPN forecasting techniques. In order to evaluate the performance of the four proposed forecasting models, two public companies listed in Taiwan Stock Market are adopted as illustrative examples. The empirical results indicate that MARS and BPN provide better forecasting results in terms of several performance criteria. Besides, the obtained basis functions of MARS forecasting method can provide useful information for better investment decisions.
Tang, Pei-Wen, and 唐培文. "Integrating Neural Networks and Multivariate Adaptive Regression Splines in Price Prediction of Taiwan Stock Index Futures and Taiwan Top50 Tracker Fund." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/89695327956754179441.
Full text輔仁大學
管理學研究所
93
This study predicts the opening prices and closing prices of TAIFEX index futures and Taiwan Top50 Tracker Fund ( Taiwan 50 ETF ) by the neural networks model and multivariate adaptive regression splines (MARS). The purpose of this study is to investigates if the two-stage hybrid modeling procedure with artificial neural networks and multivariate adaptive regression splines can find significant variables and then served as the input of the neural networks model. The empirical result shows the neural networks model using technical analysis indicators as inputs shows a better forecasting performance and the proposed hybrid approach outperforms the results only using artificial neural networks in both TAIFEX index futures and Taiwan Top50 Tracker Fund. In addition, the trading strategy of TAIEX index futures earns 118.06% annual return and the trading strategy of Taiwan Top50 Tracker Fund earns 11.54% annual return during the validation period.
Chen, Shing-Jin, and 陳興進. "Multivariate Regression Splines." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/95792784455382660398.
Full text國立交通大學
統計所
87
A multivariate spline of nonuniform smoothness condition is introduced and a multivariate B-spline basis of local support is developed for this spline space. Simulation results for these splines are provided.
Mondal, Anirban. "Bayesian Uncertainty Quantification for Large Scale Spatial Inverse Problems." Thesis, 2011. http://hdl.handle.net/1969.1/ETD-TAMU-2011-08-9905.
Full textChen, Chi-We, and 陳其瑋. "Multivariate Parallel Regression Splines." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/09744226487078597430.
Full text國立交通大學
統計所
88
Multivariate parallel spline of nonuniform smoothness condition is introduced and a multivariate parallel B-spline basis of local support is developed for this spline space.
Yeh, Shing-Hung, and 葉世弘. "Adaptive Group Lasso for Multivariate Linear Regression." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/90910161360611684952.
Full text國立成功大學
統計學系碩博士班
97
In traditional statistical method, estimation and variable selection are almost discussed separately. LASSO (Tibshirani, 1996) is a new method for estimation in linear model, it can estimate parameters and variable selection simultaneously. But Lasso is inconsistent for variable selection, Adaptive Lasso (Zou 2006) overcomes these problems and enjoys the oracle properties. In linear regression when categorical predictors (factors) are present, the Lasso solution only selects individual dummy variables instead of whole factors. The group Lasso(Yuan and Lin 2006) overcomes these problems. Group lasso is a natural extension of lasso and selects variable in a grouped manner, group lasso suffers from estimation inefficiency and selection inconsistency. Adaptive Group Lasso (Wang and Leng 2006) show it’s estimator can be as efficient as oracle. We propose the adaptive group lasso for multivariate linear regression. In our study, the definition of grouped variable is different with the definition defined by formed study, which is regard one column of model matrix as a group. We consider one row of parametric matrix as one group for finding the significant variable on Y.
Hartman, Brian Matthew. "Bayesian Hierarchical, Semiparametric, and Nonparametric Methods for International New Product Di ffusion." Thesis, 2010. http://hdl.handle.net/1969.1/ETD-TAMU-2010-08-8294.
Full text