Distributional regression modeling via generalized additive models for location, scale, and shape: An overview through a data set from learning analytics

被引:7
|
作者
Marmolejo-Ramos, Fernando [1 ]
Tejo, Mauricio [2 ]
Brabec, Marek [3 ]
Kuzilek, Jakub [4 ,5 ]
Joksimovic, Srecko [1 ]
Kovanovic, Vitomir [1 ]
Gonzalez, Jorge [6 ]
Kneib, Thomas [7 ,8 ]
Buehlmann, Peter [9 ]
Kook, Lucas [10 ,11 ]
Briseno-Sanchez, Guillermo [12 ]
Ospina, Raydonal [13 ]
机构
[1] Univ South Australia, Ctr Change & Complex Learning, Adelaide, SA, Australia
[2] Univ Valparaiso, Inst Estadist, Valparaiso, Chile
[3] Czech Acad Sci, Inst Comp Sci, Dept Stat Modelling, Prague, Czech Republic
[4] CTU, Czech Inst Informat Robot & Cybernet, Prague, Czech Republic
[5] Humboldt Univ, Comp Sci & Soc Res Grp, Comp Sci Educ, Berlin, Germany
[6] Pontificia Univ Catolica Chile, Dept Estadist, Santiago, Chile
[7] Georg August Univ Gottingen, Campus Inst Data Sci CIDAS, Gottingen, Germany
[8] Georg August Univ Gottingen, Chair Stat, Gottingen, Germany
[9] Swiss Fed Inst Technol, Seminar Stat, Zurich, Switzerland
[10] Univ Zurich, Epidemiol Biostat & Prevent Inst, Zurich, Switzerland
[11] Zurich Univ Appl Sci, Inst Data Anal & Proc Design, Winterthur, Switzerland
[12] TU Dortmund Univ, Dept Stat, Dortmund, Germany
[13] Univ Fed Pernambuco, CASTLab, Dept Stat, Recife, PE, Brazil
基金
欧盟地平线“2020”;
关键词
causal regularization; causality; educational data mining; generalized additive models for location; scale; and shape; learning analytics; machine learning; statistical learning; statistical modeling; supervised learning; VARIABLE SELECTION; CAUSAL INFERENCE; GAMLSS; KURTOSIS; IDENTIFICATION; DEFINITION; PREDICTION; SKEWNESS; PACKAGE; RULES;
D O I
10.1002/widm.1479
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The advent of technological developments is allowing to gather large amounts of data in several research fields. Learning analytics (LA)/educational data mining has access to big observational unstructured data captured from educational settings and relies mostly on unsupervised machine learning (ML) algorithms to make sense of such type of data. Generalized additive models for location, scale, and shape (GAMLSS) are a supervised statistical learning framework that allows modeling all the parameters of the distribution of the response variable with respect to the explanatory variables. This article overviews the power and flexibility of GAMLSS in relation to some ML techniques. Also, GAMLSS' capability to be tailored toward causality via causal regularization is briefly commented. This overview is illustrated via a data set from the field of LA. This article is categorized under: Application Areas > Education and Learning Algorithmic Development > Statistics Technologies > Machine Learning
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页数:22
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共 36 条
  • [1] Distributional modeling and short-term forecasting of electricity prices by Generalized Additive Models for Location, Scale and Shape
    Serinaldi, Francesco
    [J]. ENERGY ECONOMICS, 2011, 33 (06) : 1216 - 1226
  • [2] Generalized additive models for location, scale and shape
    Rigby, RA
    Stasinopoulos, DM
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 2005, 54 : 507 - 544
  • [3] Modeling risks from natural hazards with generalized additive models for location, scale and shape
    Pitt, David
    Truck, Stefan
    van den Honert, Rob
    Wong, Wan Wah
    [J]. JOURNAL OF ENVIRONMENTAL MANAGEMENT, 2020, 275
  • [4] Generalized additive models for location, scale and shape - Discussion
    Lane, PW
    Wood, S
    Jones, MC
    Nelder, JA
    Lee, YJ
    Borja, MC
    Longford, NT
    Bowman, A
    Cole, TJ
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 2005, 54 : 544 - 554
  • [5] Generalized additive models for location scale and shape (GAMLSS) in R
    Stasinopoulos, D. Mikis
    Rigby, Robert A.
    [J]. JOURNAL OF STATISTICAL SOFTWARE, 2007, 23 (07):
  • [6] Robust fitting for generalized additive models for location, scale and shape
    William H. Aeberhard
    Eva Cantoni
    Giampiero Marra
    Rosalba Radice
    [J]. Statistics and Computing, 2021, 31
  • [7] Robust fitting for generalized additive models for location, scale and shape
    Aeberhard, William H.
    Cantoni, Eva
    Marra, Giampiero
    Radice, Rosalba
    [J]. STATISTICS AND COMPUTING, 2021, 31 (01)
  • [8] Robust gradient boosting for generalized additive models for location, scale and shape
    Speller, Jan
    Staerk, Christian
    Gude, Francisco
    Mayr, Andreas
    [J]. ADVANCES IN DATA ANALYSIS AND CLASSIFICATION, 2023,
  • [9] Are generalized additive models for location, scale, and shape an improvement on existing models for estimating skewed and heteroskedastic cost data?
    Bohl A.A.
    Blough D.K.
    Fishman P.A.
    Harris J.R.
    Phelan E.A.
    [J]. Health Services and Outcomes Research Methodology, 2013, 13 (1) : 18 - 38
  • [10] Bayesian Generalized Additive Models for Location, Scale, and Shape for Zero-Inflated and Overdispersed Count Data
    Klein, Nadja
    Kneib, Thomas
    Lang, Stefan
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2015, 110 (509) : 405 - 419