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Best Subset Selection Using Mixed Integer Optimization

Best subset selection via a modern optimization lens

Best subset selection via a modern optimization lens

... in integer opti- mization combined with hardware improvements have resulted in an astonishing 200 billion factor speedup in solving Mixed Integer Optimization (MIO) prob- ...classical ...

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Mixed variable ant colony optimization technique for feature subset selection and model selection

Mixed variable ant colony optimization technique for feature subset selection and model selection

... (3) where u is the number of how many feature i is selected, is the number of none selected features, and q in both equations is the algorithm‘s parameter to control diversification of search process. These values will ...

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Superstructure Optimization of Multiple Cyclone Arrangements Using Mixed Integer Nonlinear Programming

Superstructure Optimization of Multiple Cyclone Arrangements Using Mixed Integer Nonlinear Programming

... the best pollution control strategies to achieve a minimum level of pollution ...the best cyclone arrangement for a certain condition with respect to the minimum total cost, including the operating cost and ...

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Mixed integer programming methods for supply chain optimization

Mixed integer programming methods for supply chain optimization

... Variable Selection Rule Try to find large z best as fast as possible ⇒ Heuristics Also for large scale instances: “good feasible solutions may be all we can hope for” If we know the structure of the ...

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Benchmarks for Current Linear and Mixed Integer Optimization Solvers

Benchmarks for Current Linear and Mixed Integer Optimization Solvers

... Discrete optimization is a very complex task and the improvement and future development of MILP solvers is of a high importance due to increasing applications of discrete ...a subset of the benchmark set of ...

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Layout optimization of simplified trusses using mixed integer linear programming with runtime generation of constraints

Layout optimization of simplified trusses using mixed integer linear programming with runtime generation of constraints

... where X is a set containing unordered pairs of indices, {h, i}, for each pair of intersecting elements. However, the size of X increases at a very high rate ( ∝ n 4 ), meaning that the full form of this problem will be ...

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Mixed integer linear programming and heuristic methods for feature selection in clustering

Mixed integer linear programming and heuristic methods for feature selection in clustering

... feature selection problem consists of finding a subset of features Q ⊆ V such that the total sum of the distances from the units to the closest centre is ...combinatorial optimization problem that we ...

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Balance Optimization Subset Selection: a framework for causal inference with observational data

Balance Optimization Subset Selection: a framework for causal inference with observational data

... as mixed integer (linear or quadratic) programs and solved with CPLEX, work needs to be done on developing specialized exact algorithms both for identifying good solutions quickly and for verifying ...the ...

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Mixed Integer Optimization of IDMT Overcurrent Relays in the Presence of Wind Energy Farms Using PSO Algorithm

Mixed Integer Optimization of IDMT Overcurrent Relays in the Presence of Wind Energy Farms Using PSO Algorithm

... [1,2] . The process of high wind energy penetration requires the impact analysis of this new technology in power systems. In these terms, some countries have developed grid codes in order to establish the requirements of ...

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Path Selection of Multimodal Transport Based on Multi Objective Mixed Integer Programming

Path Selection of Multimodal Transport Based on Multi Objective Mixed Integer Programming

... route selection of multi-objective China-Europe railway ...route selection of containers from wuhan to Europe through transport time and ...the optimization model and ob- tained the ...

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Design of Near Optimal Decision Rules in Multistage Adaptive Mixed-Integer Optimization

Design of Near Optimal Decision Rules in Multistage Adaptive Mixed-Integer Optimization

... the best of our knowledge, the work of Bertsimas and Caramanis in [10] is the only framework that can address the binary decisions in an adaptive robust optimization ...

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Multi-Objective Optimization of Biomass Conversion Technologies by Using Evolutionary Algorithm and Mixed Integer Linear Programming (MILP)

Multi-Objective Optimization of Biomass Conversion Technologies by Using Evolutionary Algorithm and Mixed Integer Linear Programming (MILP)

... The selection of the objective is thereby arbitrary as long as the aggregation of the terms is robust and consistent with respect to the multiple objectives of the master optimization ...

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Integer convex minimization by mixed integer linear optimization

Integer convex minimization by mixed integer linear optimization

... bounded integer convex minimization problem (ICP) can be written in the above ...a mixed integer linear optimization oracle, that returns an optimal solution when fed with a mixed ...

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Parallel Pareto Optimization for Subset Selection

Parallel Pareto Optimization for Subset Selection

... Abstract Subset selection that selects a few variables from a large set is a fundamental problem in many ar- ...Pareto Optimization for Subset Selection (POSS) method is a power- ful ...

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Variable selection with stepwise and best subset approaches

Variable selection with stepwise and best subset approaches

... Author’s introduction: Zhongheng Zhang, MMed. Department of Critical Care Medicine, Jinhua Municipal Central Hospital, Jinhua Hospital of Zhejiang University. Dr. Zhongheng Zhang is a fellow physician of the Jinhua ...

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New developments in causal inference using balance optimization subset selection

New developments in causal inference using balance optimization subset selection

... In Case 1, some covariate vectors that a ffect responses for the units are not observed while all the other covariates are fully observed. Such a situation may occur from a failure to record all the covariates. The ...

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Mixed Integer Conic Optimization and its Applications

Mixed Integer Conic Optimization and its Applications

... CHAPTER 6. THE INMATE TRANSPORTATION PROBLEM combinatorial optimization. The VRP was first proposed by Dantzig and Ramser [ 1959 ], who worked on optimum routing of a fleet of gasoline delivery trucks and ...

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Solving multiobjective mixed integer convex optimization problems

Solving multiobjective mixed integer convex optimization problems

... of the problem by adaptively computing hyperplanes considering some meaningful local upper bounds. Then, in case we want to improve our lower bound, we compute additional hyperplanes that outer approximate the convex ...

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Two-Stage Stochastic Mixed Integer Linear Optimization

Two-Stage Stochastic Mixed Integer Linear Optimization

... two-stage optimization problems consider the problem in which the second-stage problem involves only continuous vari- ...with integer variables in the second- stage have been visited in several ...two-stage ...

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Mixed-Integer Constrained Optimization Based on Memetic Algorithm

Mixed-Integer Constrained Optimization Based on Memetic Algorithm

... hand, mixed-integer hybrid differential evolution (MIHDE), as an EA-based search algorithm, has been successfully applied to many mixed-integer optimization ...solving ...

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