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Isotonic Regression for Multiple Independent Variables

Quentin F. Stout
2013 Algorithmica  
A yet faster algorithm is given for L 1 isotonic regression with unweighted data.  ...  L ∞ isotonic regression is not unique, and algorithms are given for finding L ∞ regressions with desirable properties such as minimizing the number of large regression errors.  ...  The author thanks Günter Rote for pointing out the paper by Gudmundsson et al. [15] , and the reviewer for helpful comments.  ... 
doi:10.1007/s00453-013-9814-z fatcat:bounfvm5zjfcjmb3txh3v5ysbi

Isotonic quadriceps endurance is better associated with daily physical activity than quadriceps strength and power in COPD: an international multicentre cross-sectional trial

Erik Frykholm, Sarah Gephine, Didier Saey, Arthur Lemson, Peter Klijn, Eline bij de Vaate, François Maltais, Hieronymus van Hees, André Nyberg
2021 Scientific Reports  
Isotonic endurance was also independently associated with most PA variables, even when controlling for strength, power or isometric-isokinetic endurance properties of the muscle (r = .246 to .384, p <  ...  The best multiple linear regression models explained 38–49% of the variance in the data.  ...  In the multiple linear regression analysis, daily steps, daily sedentary time, and daily MVPA-minutes represented dependant variables.  ... 
doi:10.1038/s41598-021-90758-7 pmid:34078960 fatcat:xzdeptgf7vhrtbogvg2hvx5wqu

Muscle-Bone Interactions Across age in Men

Ian J Palmer, Eric D Runnels, Michael G Bemben, Debra A Bemben
2006 Journal of Sports Science and Medicine  
Isotonic and isokinetic leg strength variables were significant predictors (p < 0.05) of the total body, total hip and trochanter BMD.  ...  Multiple Regression analyses determined that age and lean mass (LBM or leg LM) were significant predictors (p < 0.05) of femoral neck, and total hip BMD, while lean mass (LBM or leg LM) was a significant  ...  Separate multiple regression analyses using PT strength of the quadriceps and hamstrings (at 60, 180, and 240°·s -1 ) as independent variables, revealed similar results to the isotonic variables, with  ... 
pmid:24198680 pmcid:PMC3818673 fatcat:znwrdzqwurb75dflosuoy6yhvi

Isotonic Regression via Partitioning

Quentin F. Stout
2012 Algorithmica  
Algorithms are also given for L p isotonic regression with constrained data and weight values, L 1 regression with unweighted data, and L 1 regression for DAGs where there are multiple data values at the  ...  Extending this approach, algorithms for binary-valued L 1 isotonic regression are used to find L p isotonic regressions for 1 < p < ∞.  ...  Acknowledgements The author thanks the referees for their helpful suggestions.  ... 
doi:10.1007/s00453-012-9628-4 fatcat:62chps2y6ja5hjy7j6zyvi23qy

A nonparametric changepoint model for stratifying continuous variables under order restrictions and binary outcome

Georgia Salanti, Kurt Ulm
2003 Statistical Methods in Medical Research  
Modelling using monotonic regression can be a useful alternative to parametric approaches when optimal strati cation for continuous predictors is of interest.  ...  Secondly, we discuss the case of multiple predictors: an iterative algorithm (an extension of the Pool Adjacent Violators Algorithm) can be applied when more than one predictor variable is taken into account  ...  For this purpose we produced 5000 random permutations of the response variable as if it was independent on the explanatory variables (170 pairs).  ... 
doi:10.1191/0962280203sm338ra pmid:12939101 fatcat:qsv6oopvkngfvokmptfioxxrxy

Analysis on binary responses with ordered covariates and missing data

Jeremy M. G. Taylor, Lu Wang, Zhiguo Li
2007 Statistics in Medicine  
if Isotonic regression is a well-known approach for estimation in a regression model with a single explanatory variable and a continuous response.  ...  Estimation approaches that incorporate Gibbs sampling with order restrictions on p i j induced via a prior distribution, two-dimensional isotonic regression and multiple imputation to handle missing values  ...  We note that with no missing data the prior for q i j is not needed because the posterior distributions for p i j and q i j are independent, but the posterior distributions will not be independent when  ... 
doi:10.1002/sim.2815 pmid:17219376 fatcat:gznhe76e5rer5hetbyawveikea

Remaining Life-Time Assessment of Gear Box Using Regression Model

A. Joshuva, V. Sugumaran, M. Amarnath, Sang-Kwon Lee
2016 Indian Journal of Science and Technology  
Findings: In this study, the J48 algorithm was used and the regression was found to be 0.8944 for Gaussian model.  ...  This is a novel approach to finding the life prediction of gearbox using histogram and regression model.  ...  The main purpose of multiple regressions is to analyze the relationship between metric or dichotomous independent variables and a metric dependent variable.  ... 
doi:10.17485/ijst/2015/v8i1/107933 fatcat:qzvetwtdo5gnfjhisw3ipzljhq

Relative metabolic utilization of in situ rabbit soleus muscle: thermistor-based measurements and model

K J Gustafson, G D Egrie, S H Reichenbach
2000 Journal of Experimental Biology  
Significant model variables were identified using a backward stepwise regression procedure.  ...  A multiple linear regression model was developed to predict normalized thermistor response, DeltaT, across a range of conditions.  ...  We thank Dan Moore for assistance with the linear regression model and analysis. This work was supported by the Whitaker Foundation Biomedical Engineering Research Grant number RG940712.  ... 
pmid:11060227 fatcat:a7ftqsvxg5cwjgocwjwqtdpysy

Predicting the throwing velocity of the ball in handball with anthropometric variables and isotonic tests

Thierry Debanne, Guillaume Laffaye
2011 Journal of Sports Sciences  
The best multiple regression model accounted for 74% of the total variance and included body mass, 2 kg MB performance and power output at the 20 kg-bench-press.  ...  All the variables studied were correlated with Ball velocity. The 2 kg MB throwing performance was the best predictor (r=0.80).  ...  Multiple Regression Model Using a multiple regression analysis, the predictability level increases from 64% with one factor (medicine ball) to 74% with a three-variable combined model.  ... 
doi:10.1080/02640414.2011.552112 pmid:21400345 fatcat:2jfahnpcpjgv5nymjk62qc27kq

Efficient regularized isotonic regression with application to gene–gene interaction search

Ronny Luss, Saharon Rosset, Moni Shahar
2012 Annals of Applied Statistics  
Isotonic regression is a nonparametric approach for fitting monotonic models to data that has been widely studied from both theoretical and practical perspectives.  ...  To address both concerns, we present an algorithm, which we term Isotonic Recursive Partitioning (IRP), for isotonic regression based on recursively partitioning the covariate space through solution of  ...  We are also very grateful to David Golan for his help with organizing the WTCCC data for our experiments.  ... 
doi:10.1214/11-aoas504 fatcat:z43otgbennfpdpc4ykaajcpvqe

Learning Bayesian Network Parameters with Prior Knowledge about Context-Specific Qualitative Influences [article]

Ad Feelders, Linda C. van der Gaag
2012 arXiv   pre-print
We present a method for learning the parameters of a Bayesian network with prior knowledge about the signs of influences between variables.  ...  We show how the various signs translate into order constraints on the network parameters and how isotonic regression can be used to compute order-constrained estimates from the available data.  ...  Liem for writing part of the program code, and performing the experiments.  ... 
arXiv:1207.1387v1 fatcat:kuveaswkr5bkpldpsznrqwi5xm

Individual correlation of morphology, muscle mechanics, and locomotion in a salamander

A. F. Bennett, T. Garland, P. L. Else
1989 American Journal of Physiology. Regulatory Integrative and Comparative Physiology  
Isometric tensions (standardized for muscle crosssectional area) and isotonic properties are mass independent; rates of isometric force development and relaxation are negatively related to body mass.  ...  Several statistical techniques failed to uncover correlations among sets of variables (performance, morphology, muscle mechanics): neither fast individuals nor individuals with high endurance necessarily  ...  TABLE 3 . 3 Principal components analysis of correlation matrix presented in TABLE 4 . 4 Results of multiple regression analyses Dependent Independent Variables Variable = (partial r2) Multiple  ... 
doi:10.1152/ajpregu.1989.256.6.r1200 pmid:2735445 fatcat:lvpd3d7r2vhgvcgyum2yjbzrre

Can We Trust You? On Calibration of a Probabilistic Object Detector for Autonomous Driving [article]

Di Feng, Lars Rosenbaum, Claudius Glaeser, Fabian Timm, Klaus Dietmayer
2019 arXiv   pre-print
Reliable uncertainty estimation is crucial for perception systems in safe autonomous driving. Recently, many methods have been proposed to model uncertainties in deep learning based object detectors.  ...  Besides, [14] introduces isotonic regression to calibrate uncertainties in multiple regression tasks.  ...  This work calibrates marginal probabilities in the regression task, with the assumption that each regression variable is independently-distributed.  ... 
arXiv:1909.12358v1 fatcat:y5eqfrvm6vechjscxbfaji3lta

Hospital-Acquired Hyponatremia in Children Following Hypotonic versus Isotonic Intravenous Fluids Infusion

Spyridon A Karageorgos, Panagiotis Kratimenos, Ashley Landicho, Joshua Haratz, Louis Argentine, Amit Jain, Andrew D McInnes, Margaret Fisher, Ioannis Koutroulis
2018 Children  
These data suggest that hypotonic PS are associated with HAH in children admitted for common pediatric conditions. Isotonic PS should be considered as a safer choice for maintenance fluid hydration.  ...  Hypotonic solutions have been used in pediatrics for maintenance of intravenous (IV) hydration.  ...  Acknowledgments: John Gaughan from Temple University, Philadelphia, PA, USA, for helping with the statistical analysis of results.  ... 
doi:10.3390/children5100139 pmid:30279348 pmcid:PMC6209932 fatcat:4xwu64pnnfdsjjot44ml4s2sra

Generalized Isotonic Regression

Ronny Luss, Saharon Rosset
2014 Journal of Computational And Graphical Statistics  
partitioning algorithm (Spouge et al 2003) for the case of standard (l 2 -loss) isotonic regression.  ...  We present a computational and statistical approach for fitting isotonic models under convex differentiable loss functions.  ...  Table 3 demonstrates that Huber isotonic regression works well with a reasonable number of variables (2-5 for the first simulation and 2-4 for the second simulation), however, again, a simple Huber regression  ... 
doi:10.1080/10618600.2012.741550 fatcat:rxx3c5abgraphncsy7peuxhoam
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