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Inequality Constraint
"... An area cartogram is a transformed map on which areas of regions are proportional to statistical data values; it is considered to be a powerful tool for the visual representation of statistical data. One of the most familiar cartograms is a circle (or circular) cartogram, on which regions are repres ..."
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to that on the geographical map. In this paper, I propose a new construction method for circle cartograms that attaches a high value to the preservation of relative position of circles while considering the requirements proposed by Dorling. I formulated a construction problem for nonlinear minimization with inequality
DETERMINANT MAXIMIZATION WITH LINEAR MATRIX INEQUALITY CONSTRAINTS
"... The problem of maximizing the determinant of a matrix subject to linear matrix inequalities arises in many fields, including computational geometry, statistics, system identification, experiment design, and information and communication theory. It can also be considered as a generalization of the s ..."
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Cited by 223 (18 self)
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The problem of maximizing the determinant of a matrix subject to linear matrix inequalities arises in many fields, including computational geometry, statistics, system identification, experiment design, and information and communication theory. It can also be considered as a generalization
Bézout Identities With Inequality Constraints
, 1998
"... This paper examines the set B(P ) = fQ : P \Delta Q = 1 ; Q 2 R m g where P 2 R m is unimodular and R is either the algebra PR of algebraic polynomials which are realvalued on the cube I d or the algebra LR of Laurent polynomials which are realvalued on the torus T d : We sharpen previo ..."
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Cited by 2 (1 self)
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, the Weierstrass approximation theorem and the Michael selection theorem to prove a result about the existence of solutions to the B'ezout identity with inequality constraints.
Bayesian Optimization with Inequality Constraints
"... Bayesian optimization is a powerful framework for minimizing expensive objective functions while using very few function evaluations. It has been successfully applied to a variety of problems, including hyperparameter tuning and experimental design. However, this framework has not been extended ..."
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Cited by 5 (0 self)
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to the inequalityconstrained optimization setting, particularly the setting in which evaluating feasibility is just as expensive as evaluating the objective. Here we present constrained Bayesian optimization, which places a prior distribution on both the objective and the constraint functions. We evaluate our
2006, Inequality constraints in recursive economies
 EUI Working Paper Series 6
"... Abstract. Dynamic models with inequality constraints pose a challenging problem for two major reasons: Dynamic Programming techniques often necessitate a non established differentiability of the value function, while Euler equation based techniques have problematic or unknown convergence properties. ..."
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Cited by 3 (1 self)
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Abstract. Dynamic models with inequality constraints pose a challenging problem for two major reasons: Dynamic Programming techniques often necessitate a non established differentiability of the value function, while Euler equation based techniques have problematic or unknown convergence properties
SNOPT: An SQP Algorithm For LargeScale Constrained Optimization
, 2002
"... Sequential quadratic programming (SQP) methods have proved highly effective for solving constrained optimization problems with smooth nonlinear functions in the objective and constraints. Here we consider problems with general inequality constraints (linear and nonlinear). We assume that first deriv ..."
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Cited by 597 (24 self)
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Sequential quadratic programming (SQP) methods have proved highly effective for solving constrained optimization problems with smooth nonlinear functions in the objective and constraints. Here we consider problems with general inequality constraints (linear and nonlinear). We assume that first
Indigo: A Local Propagation Algorithm for Inequality Constraints
 In Proceedings of the 1996 ACM Symposium on User Interface Software and Technology
, 1996
"... Inequality constraints are useful for specifying various aspects of user interfaces, such as constraints that one window is to the left of another, or that an object is contained within a rectangle. However, current local propagation constraint solvers can't handle inequality constraints. We pr ..."
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Cited by 32 (7 self)
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Inequality constraints are useful for specifying various aspects of user interfaces, such as constraints that one window is to the left of another, or that an object is contained within a rectangle. However, current local propagation constraint solvers can't handle inequality constraints. We
A note on the inequality constraints in the univariate GARCH model.
 Journal of Business and Economic Statistics
, 1992
"... To keep the conditional variances generated by the GARCH(p, q) model nonnegative, Bollerslev imposed nonnegativity constraints on the parameters of the process. We show that these constraints can be substantially weakened and so should not be imposed in estimation. We also provide empirical example ..."
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Cited by 92 (2 self)
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To keep the conditional variances generated by the GARCH(p, q) model nonnegative, Bollerslev imposed nonnegativity constraints on the parameters of the process. We show that these constraints can be substantially weakened and so should not be imposed in estimation. We also provide empirical
Testing Inequality Constraints in Linear Econometric Models
 Journal of Econometrics
, 1989
"... This paper develops three asymptotically equivalent tests for examining the validity of imposing linear inequality restrictions on the parameters of linear econometric models. First we consider the model.v = X/3 + e. where r is N(O,8), and the hypothesis test H: R/l 1 r versus K: p E R”. Later we ge ..."
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Cited by 51 (1 self)
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useful duality relation between the multivariate inequality constraints test developed here and the multivariate onesided hypothesis test. In small samples, these three test statistics satisfy inequalities similar to those derived by Berndt and Savin (1977) for the case of equality constraints
Results 1  10
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