ORCID Profile
0000-0003-1332-6213
Current Organisation
University of South Australia
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Publisher: Hindawi Limited
Date: 1997
DOI: 10.1155/S1085337597000298
Abstract: In this paper we show the weak convergence and stability of the proximal point method when applied to the constrained convex optimization problem in uniformly convex and uniformly smooth Banach spaces. In addition, we establish a nonasymptotic estimate of convergence rate of the sequence of functional values for the unconstrained case. This estimate depends on a geometric characteristic of the dual Banach space, namely its modulus of convexity. We apply a new technique which includes Banach space geometry, estimates of duality mappings, nonstandard Lyapunov functionals and generalized projection operators in Banach spaces.
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2007
DOI: 10.1137/050647621
Publisher: Springer Berlin Heidelberg
Date: 1999
Publisher: Springer Science and Business Media LLC
Date: 27-12-2017
Publisher: Springer Science and Business Media LLC
Date: 19-09-2013
Publisher: Springer Science and Business Media LLC
Date: 23-05-2019
Publisher: Elsevier BV
Date: 02-2012
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2000
Publisher: Springer Science and Business Media LLC
Date: 30-08-2013
Publisher: Springer New York
Date: 2010
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2014
DOI: 10.1137/130910221
Publisher: Springer Science and Business Media LLC
Date: 16-06-2012
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2021
DOI: 10.1137/19M1288140
Publisher: Springer Science and Business Media LLC
Date: 2006
Publisher: Informa UK Limited
Date: 08-2011
Publisher: Springer Science and Business Media LLC
Date: 2000
Publisher: Springer Science and Business Media LLC
Date: 08-06-2014
Publisher: American Mathematical Society (AMS)
Date: 21-12-2005
Publisher: Springer Science and Business Media LLC
Date: 09-11-2017
Publisher: Hindawi Limited
Date: 1997
DOI: 10.1155/S1085337597000298
Abstract: In this paper we show the weak convergence and stability of the proximal point method when applied to the constrained convex optimization problem in uniformly convex and uniformly smooth Banach spaces. In addition, we establish a nonasymptotic estimate of convergence rate of the sequence of functional values for the unconstrained case. This estimate depends on a geometric characteristic of the dual Banach space, namely its modulus of convexity. We apply a new technique which includes Banach space geometry, estimates of duality mappings, nonstandard Lyapunov functionals and generalized projection operators in Banach spaces.
Publisher: Informa UK Limited
Date: 06-2021
Publisher: Informa UK Limited
Date: 06-2006
Publisher: Elsevier BV
Date: 2022
Publisher: Elsevier BV
Date: 04-2013
Publisher: Springer Science and Business Media LLC
Date: 09-09-2021
Publisher: Springer Science and Business Media LLC
Date: 07-11-2014
Publisher: Elsevier BV
Date: 09-2022
Publisher: Springer Science and Business Media LLC
Date: 07-03-2017
Publisher: Springer Science and Business Media LLC
Date: 14-07-2005
Publisher: Elsevier BV
Date: 02-2021
Publisher: Elsevier BV
Date: 10-2023
Publisher: Springer Science and Business Media LLC
Date: 24-08-2010
Publisher: American Institute of Mathematical Sciences (AIMS)
Date: 2011
Publisher: Springer Science and Business Media LLC
Date: 2001
Abstract: To design a parsimonious population pharmacodynamic experiment that has the same or greater efficiency than that provided by two phase I studies. The design was based on optimization of the population Fisher information matrix. Options for optimization were (1) determination of the optimal s ling times for each group ("group" represents a group of subjects that have identical design characteristics), (2) determination of the optimal doses for each group, and (3) determination of the optimal group structure. (1) Optimizing the s ling times, while retaining only four unique times per group, provided a more parsimonious experiment with the same efficiency as the original "study" that involved on average 10 s les per subject. Splitting s ling times between the first dose and a steady-state dose gave the most informative design. (2) The optimal dose was the same in all groups and was the upper bound of the dose range. (3) The optimal population design consisted of only one group with four unique s ling times that are the same for all subjects. A population pharmacodynamic trial design is presented that is more parsimonious than the original study and would be appropriate for inclusion in a premarketing clinical study.
Publisher: Informa UK Limited
Date: 05-2010
Publisher: Springer Science and Business Media LLC
Date: 29-01-2010
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2010
DOI: 10.1137/080733437
Publisher: Springer New York
Date: 2010
Publisher: Springer Science and Business Media LLC
Date: 04-07-2021
Publisher: Springer New York
Date: 2013
Publisher: Springer Science and Business Media LLC
Date: 12-05-2012
Publisher: American Mathematical Society (AMS)
Date: 18-03-2003
Publisher: Springer Science and Business Media LLC
Date: 16-08-2015
Publisher: Springer New York
Date: 2011
Publisher: Informa UK Limited
Date: 10-04-2021
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2005
Publisher: Springer Science and Business Media LLC
Date: 25-07-2020
Publisher: Springer Science and Business Media LLC
Date: 18-05-2010
Publisher: Springer Science and Business Media LLC
Date: 1999
Publisher: Elsevier BV
Date: 05-2001
DOI: 10.1016/S0169-2607(00)00117-6
Abstract: In population pharmacokinetic studies, the precision of parameter estimates is dependent on the population design. Methods based on the Fisher information matrix have been developed and extended to population studies to evaluate and optimize designs. In this paper we propose simple programming tools to evaluate population pharmacokinetic designs. This involved the development of an expression for the Fisher information matrix for nonlinear mixed-effects models, including estimation of the variance of the residual error. We implemented this expression as a generic function for two software applications: S-PLUS and MATLAB. The evaluation of population designs based on two pharmacokinetic ex les from the literature is shown to illustrate the efficiency and the simplicity of this theoretic approach. Although no optimization method of the design is provided, these functions can be used to select and compare population designs among a large set of possible designs, avoiding a lot of simulations.
Publisher: Springer Science and Business Media LLC
Date: 20-03-2015
Publisher: Elsevier BV
Date: 05-2006
Publisher: Elsevier BV
Date: 05-2021
Publisher: Springer Science and Business Media LLC
Date: 22-05-2020
Publisher: Springer Science and Business Media LLC
Date: 26-07-2014
Publisher: Elsevier BV
Date: 05-2021
Publisher: Informa UK Limited
Date: 1995
Publisher: Springer Science and Business Media LLC
Date: 09-02-2008
Publisher: Springer Science and Business Media LLC
Date: 20-09-2021
DOI: 10.1186/S13663-021-00700-9
Abstract: It is well known that the Newton method may not converge when the initial guess does not belong to a specific quadratic convergence region. We propose a family of new variants of the Newton method with the potential advantage of having a larger convergence region as well as more desirable properties near a solution. We prove quadratic convergence of the new family, and provide specific bounds for the asymptotic error constant. We illustrate the advantages of the new methods by means of test problems, including two and six variable polynomial systems, as well as a challenging signal processing ex le. We present a numerical experimental methodology which uses a large number of randomized initial guesses for a number of methods from the new family, in turn providing advice as to which of the methods employed is preferable to use in a particular search domain.
Publisher: Informa UK Limited
Date: 02-09-2013
Publisher: Springer Science and Business Media LLC
Date: 13-07-2021
Publisher: SAGE Publications
Date: 20-07-2021
DOI: 10.1177/17511437211034699
Abstract: COVID-19 disease often requires invasive ventilatory support. Trans-laryngeal intubation of the trachea may cause laryngeal injury, possibly compounded by coronavirus infection. Fibreoptic Endoscopic Evaluation of Swallowing (FEES) provides anatomical and functional assessment of the larynx, guiding multidisciplinary management. Our aims were to observe the nature of laryngeal abnormalities in patients with COVID-19 following prolonged trans-laryngeal intubation and tracheostomy, and to describe their impact on functional laryngeal outcomes, such as tracheostomy weaning. A retrospective observational cohort analysis was undertaken between March and December 2020, at a UK tertiary hospital. The Speech and Language Therapy team assessed patients recovering from COVID-19 with voice/swallowing problems identified following trans-laryngeal intubation or tracheostomy using FEES. Laryngeal pathology, treatments, and outcomes relating to tracheostomy and oral feeding were noted. Twenty-five FEES performed on 16 patients identified a median of 3 (IQR 2–4) laryngeal abnormalities, with 63% considered clinically significant. Most common pathologies were: oedema (n = 12, 75%) abnormal movement (n = 12, 75%) atypical lesions (n = 11, 69%) and erythema (n = 6, 38%). FEES influenced management: identifying silent aspiration (88% of patients who aspirated (n = 8)), airway patency issues impacting tracheostomy weaning (n = 8, 50%), targeted dysphagia therapy (n = 7, 44%) ENT referral (n = 6, 38%) and reflux management (n = 5, 31%). FEES is beneficial in identifying occult pathologies and guiding management for laryngeal recovery. In our cohort, the incidence of laryngeal pathology was higher than a non-COVID-19 cohort with similar characteristics. We recommend multidisciplinary investigation and management of patients recovering from COVID-19 who required prolonged trans-laryngeal intubation and/or tracheostomy to optimise laryngeal recovery.
Publisher: Springer Science and Business Media LLC
Date: 2002
Publisher: Springer International Publishing
Date: 2019
Publisher: University of Florida George A Smathers Libraries
Date: 08-05-2023
DOI: 10.32473/FLAIRS.36
Publisher: Springer Science and Business Media LLC
Date: 11-05-2010
Publisher: Australian Mathematical Publishing Association, Inc.
Date: 22-11-2017
Publisher: Elsevier BV
Date: 10-0012
Publisher: Informa UK Limited
Date: 24-06-2022
Publisher: Springer Science and Business Media LLC
Date: 22-08-2017
Publisher: American Institute of Mathematical Sciences (AIMS)
Date: 2005
Publisher: Elsevier BV
Date: 09-2017
Publisher: Springer Science and Business Media LLC
Date: 10-2001
Publisher: Elsevier BV
Date: 04-2003
Publisher: Springer US
Date: 2008
Publisher: Elsevier BV
Date: 02-2016
Location: Australia
Location: Australia
Location: Argentina
Start Date: 2019
End Date: 2019
Funder: Defence Science and Technology Organisation
View Funded ActivityStart Date: 2018
End Date: 2018
Funder: Defence Science and Technology Group
View Funded ActivityStart Date: 2014
End Date: 2016
Funder: King Fahd University of Petroleum and Minerals
View Funded ActivityStart Date: 2017
End Date: 2018
Funder: Department of Science and Technology, Ministry of Science and Technology
View Funded Activity