Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Motivated by the problem of fitting a surrogate model to a set of feasible points in the context of constrained derivative-free optimization,  consider the problem of selecting a small set of points with good space-filling and orthogonality properties from a larger set of feasible points.  propose four mixed-integer linear programming models for this task and  show that the corresponding optimization problems are NP-hard. Numerical experiments show that our models consistently yield ll-distributed points that, on average, help reducing the variance of model fitting errors.
["Claudia D'Ambrosio", 'Giacomo Nannicini', 'Giorgio Sartor']
I am writing a research paper on a idea MILP models for the selection of a small set of well-distributed points
[{"from": "human", "value": "I am writing a research paper on a idea MILP models for the selection of a small set of well-distributed points"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Motivated by the problem of fitting a surrogate model to a set of feasible points in the context of constrained derivative-free optimization,  consider the problem of selecting a small set of points with good space-filling and orthogonality properties from a larger set of feasible points.  propose four mixed-integer linear programming models for this task and  show that the corresponding optimization problems are NP-hard. Numerical experiments show that our models consistently yield ll-distributed points that, on average, help reducing the variance of model fitting errors."}]