Optimal exact designs of experiments via mixed integer nonlinear programming
From MaRDI portal
Publication:2302472
DOI10.1007/s11222-019-09867-zzbMath1436.62373OpenAlexW2921963516WikidataQ128294836 ScholiaQ128294836MaRDI QIDQ2302472
José F. O. Granjo, Weng Kee Wong, Belmiro P. M. Duarte
Publication date: 26 February 2020
Published in: Statistics and Computing (Search for Journal in Brave)
Full work available at URL: https://escholarship.org/uc/item/85k7370j
global optimizationexact designsFisher information matrixmixed integer nonlinear programmingconstrained designsmodel-based optimal designs
Optimal statistical designs (62K05) Mixed integer programming (90C11) Nonlinear programming (90C30) Statistical aspects of information-theoretic topics (62B10)
Related Items
Optimal Design of Experiments for Implicit Models, Optimal design of experiments for hypothesis testing on ordered treatments via intersection-union tests, Construction of constrained experimental designs on finite spaces for a modified \(\mathrm{E}_k\)-optimality criterion, Optimal experimental design for linear time invariant state-space models, Optimal designs for dose-escalation trials and individual allocations in cohorts
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computing optimal designs of multiresponse experiments reduces to second-order cone program\-ming
- Computing exact \(D\)-optimal designs by mixed integer second-order cone programming
- Optimal designs for discriminating between some extensions of the Michaelis-Menten model
- Computing \(c\)-optimal experimental designs using the simplex method of linear programming
- Blocking response surface designs
- On D-optimality of exact linear regression designs with minimum support
- General equivalence theory for optimum designs (approximate theory)
- \(A\)-optimum exact designs for quadratic regression
- Applications of semidefinite programming
- Replicationfree optimal design in regression analysis
- Computing efficient exact designs of experiments using integer quadratic programming
- Symmetry breaking in mixed integer linear programming formulations for blocking two-level orthogonal experimental designs
- Adaptive grid semidefinite programming for finding optimal designs
- Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications
- A semi-infinite programming based algorithm for determining T-optimum designs for model discrimination
- Exact optimal experimental designs with constraints
- Exact \(D\)-optimal designs for first-order trigonometric regression models on a partial circle
- Optimal design of large-scale screening experiments: a critical look at the coordinate-exchange algorithm
- Optimal Design for Nonlinear Response Models
- Optimal designs for two-level factorial experiments with binary response
- Some Guidelines for Constructing Exact D-Optimal Designs on Convex Design Spaces
- CONOPT: A GRG code for large sparse dynamic nonlinear optimization problems
- Optimal designs for 2k factorial experiments with binary response
- An outer-approximation algorithm for a class of mixed-integer nonlinear programs
- The Consistent Initialization of Differential-Algebraic Systems
- The construction of exact D-optimum experimental designs with application to blocking response surface designs
- An Extension of the Arc Sine Law
- A Comparison of Algorithms for Constructing Exact D-Optimal Designs
- Branch-and-Bound Search for Experimental Designs Based on D Optimality and Other Criteria
- Stability of Methods for Matrix Inversion
- An Algorithm for the Construction of "D-Optimal" Experimental Designs
- Equivalence Theorems and Cutting Plane Algorithms for a Class of Experimental Design Problems
- Crossover designs with correlated observations
- Numerical Experience with Lower Bounds for MIQP Branch-And-Bound
- Efficiencies of Rounded Optimal Approximate Designs for Small Samples
- The Coordinate-Exchange Algorithm for Constructing Exact Optimal Experimental Designs
- The Sequential Generation of $D$-Optimum Experimental Designs
- Locally Optimal Designs for Estimating Parameters
- Global optimization problems in optimal design of experiments in regression models
- \(D\)-optimal response surface designs in the presence of random block effects.
- Finding Bayesian Optimal Designs for Nonlinear Models: A Semidefinite Programming‐Based Approach
