Generalized Tikhonov regularization in estimation of ordinary differential equations models

Ivan Vujačić; Seyed Mahdi Mahmoudi; Ernst Wit

doi:10.1002/sta4.111

Generalized Tikhonov regularization in estimation of ordinary differential equations models

Stat ◽

10.1002/sta4.111 ◽

2016 ◽

Vol 5 (1) ◽

pp. 132-143 ◽

Cited By ~ 4

Author(s):

Ivan Vujačić ◽

Seyed Mahdi Mahmoudi ◽

Ernst Wit

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Tikhonov Regularization ◽

Differential Equations Models

Download Full-text

Global optimization of ordinary differential equations models

Computer Aided Chemical Engineering - European Symposium on Computer-Aided Process Engineering-15, 38th European Symposium of the Working Party on Computer Aided Process Engineering ◽

10.1016/s1570-7946(05)80141-5 ◽

2005 ◽

pp. 115-120 ◽

Cited By ~ 1

Author(s):

Angelo Lucia ◽

Meghan L. Bellows ◽

Leah M. Octavio

Keyword(s):

Global Optimization ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Differential Equations Models

Download Full-text

Application of conditional robust calibration to ordinary differential equations models in computational systems biology: a comparison of two sampling strategies

IET Systems Biology ◽

10.1049/iet-syb.2018.5091 ◽

2020 ◽

Vol 14 (3) ◽

pp. 107-119 ◽

Cited By ~ 3

Author(s):

Fortunato Bianconi ◽

Chiara Antonini ◽

Lorenzo Tomassoni ◽

Paolo Valigi

Keyword(s):

Systems Biology ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Sampling Strategies ◽

Computational Systems Biology ◽

Computational Systems ◽

Differential Equations Models

Download Full-text

Bayesian smooth‐and‐match inference for ordinary differential equations models linear in the parameters

Statistica Neerlandica ◽

10.1111/stan.12192 ◽

2020 ◽

Vol 74 (2) ◽

pp. 125-144

Author(s):

Saverio Ranciati ◽

Ernst C. Wit ◽

Cinzia Viroli

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Differential Equations Models

Download Full-text

STATISTICAL ESTIMATION, INFERENCE AND HYPOTHESIS TESTING OF PARAMETERS IN ORDINARY DIFFERENTIAL EQUATIONS MODELS OF HIV DYNAMICS

Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention ◽

10.1142/9789812569264_0022 ◽

2005 ◽

pp. 549-568

Author(s):

Sarah Holte

Keyword(s):

Differential Equations ◽

Hypothesis Testing ◽

Ordinary Differential Equations ◽

Statistical Estimation ◽

Hiv Dynamics ◽

Differential Equations Models

Download Full-text

LatinPSO: An algorithm for simultaneously inferring structure and parameters of ordinary differential equations models

Biosystems ◽

10.1016/j.biosystems.2019.05.006 ◽

2019 ◽

Vol 182 ◽

pp. 8-16 ◽

Cited By ~ 3

Author(s):

Xinliang Tian ◽

Wei Pang ◽

Yizhang Wang ◽

Kaimin Guo ◽

You Zhou

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Differential Equations Models

Download Full-text

Bayesian inference of mixed-effects ordinary differential equations models using heavy-tailed distributions

Computational Statistics & Data Analysis ◽

10.1016/j.csda.2019.03.001 ◽

2019 ◽

Vol 137 ◽

pp. 233-246

Author(s):

Baisen Liu ◽

Liangliang Wang ◽

Yunlong Nie ◽

Jiguo Cao

Keyword(s):

Bayesian Inference ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Mixed Effects ◽

Heavy Tailed Distributions ◽

Heavy Tailed ◽

Differential Equations Models

Download Full-text

SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS HAVING WEAKLY DISCONTINUOUS REDUCED SOLUTIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30303-5 ◽

1988 ◽

Vol 8 (3) ◽

pp. 239-248 ◽

Cited By ~ 2

Author(s):

Weili Zhao

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Nonlinear Ordinary Differential Equations

Download Full-text

Applications of generalized RKM method for solving Classes of higher-order partial and ordinary differential equations

10.33329/aus.2019.n26.4.33 ◽

2019 ◽

Vol 26 (4) ◽

pp. 232-240

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Higher Order

Download Full-text

Geometrical Methods in the Theory of Ordinary Differential Equations

10.1007/978-3-662-11832-0 ◽

1988 ◽

Cited By ~ 149

Author(s):

V. I. Arnold

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations

Download Full-text

Ordinary differential equations and applications

10.1533/9780857099730 ◽

1999 ◽

Cited By ~ 1

Author(s):

Werner S. Weigelhofer ◽

Kenneth A. Lindsay

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations

Download Full-text