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A Certified Cubic B-Spline Interpolation Method with Tangential Direction Constraints
Curve interpolation with B-spline is widely used in various areas. This problem is classic and recently raised in application scenario with new...
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Maximum feasible subsystems of distance geometry constraints
We study the problem of satisfying the maximum number of distance geometry constraints with minimum experimental error. This models the determination...
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Scalable enforcement of geometric non-interference constraints for gradient-based optimization
Many design optimization problems include constraints to prevent intersection of the geometric shape being optimized with other objects or with...
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Dynamics of Systems with Unilateral Differential Constraints
AbstractA dynamical system with constraints in the form of linear differential inequalities is considered. It is proved that, in the general case,...
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Solution of a Two-Facility Location Problem in a Space with Chebyshev Distance
AbstractThe work considers a minimax two-facility location problem in a multidimensional space with Chebyshev distance under interval constraints on...
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Zermelo Navigation Problem with State Constraints
The article uses the example of the Zermelo navigation problem to illustrate a simple way to address state constraints of a certain type. The problem...
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On the Method of Penalty Functions for Control Systems with State Constraints under Integral Constraints on the Control
We consider a nonlinear control system with state constraints. The system is linear in the control variables, and the control constraints are given...
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A New Computationally Simple Approach for Implementing Neural Networks with Output Hard Constraints
AbstractA new computationally simple method of imposing hard convex constraints on the neural network output values is proposed. The key idea is to...
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Hausdorff distance between convex semialgebraic sets
In this paper, we proposed an approach for computing the Hausdorff distance between convex semialgebraic sets. We exploit the KKT conditions to...
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Approximation algorithms for maximum weighted target cover problem with distance limitations
In this paper, we study approximation algorithms for the problem of maximum weighted target cover with distance limitations (MaxWTCDL). Given n ...
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Coupling and selecting constraints in Bayesian optimization under uncertainties
We consider Reliability-based Robust Design Optimization (RRDO) where it is sought to optimize the mean of an objective function while satisfying...
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A Sampling-Based Method to Estimate the Volume of Solution Space for Linear Arithmetic Constraints
The linear arithmetic constraints play important roles in many research fields. Estimating the volume of their solution spaces has specific...
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Convex and Nonconvex Swee** Processes with Velocity Constraints: Well-Posedness and Insights
In this paper, we study some classes of swee** processes with velocity constraints in the moving set. In addition to the solution existence and the...
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Selecting intervals to optimize the design of observational studies subject to fine balance constraints
Motivated by designing observational studies using matching methods subject to fine balance constraints, we introduce a new optimization problem....
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Inexact penalty decomposition methods for optimization problems with geometric constraints
This paper provides a theoretical and numerical investigation of a penalty decomposition scheme for the solution of optimization problems with...
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Modeling combinatorial disjunctive constraints via junction trees
We introduce techniques to build small ideal mixed-integer programming (MIP) formulations of combinatorial disjunctive constraints (CDCs) via the...
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A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints
We present a numerical method to simulate thick elastic curves that accounts for self-contact and container (obstacle) constraints under large...
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Pathfollowing for parametric mathematical programs with complementarity constraints
In this paper we study procedures for pathfollowing parametric mathematical programs with complementarity constraints. We present two algorithms, one...
