unconstrained optimization

[ˌʌnkənˈstreɪnd ˌɑːptɪmaɪˈzeɪʃən]
nounpl: unconstrained optimizations
otimização sem restrições
1. A mathematical optimization problem where the objective function is minimized or maximized without any constraints on the variables
In unconstrained optimization, we seek to find the minimum of a function without any restrictions on the input variables.
Na otimização sem restrições, buscamos encontrar o mínimo de uma função sem qualquer restrição nas variáveis de entrada.
2. An optimization method where the solution space has no limitations or boundary conditions imposed on the decision variables
Gradient descent is a common algorithm used in unconstrained optimization problems.
O método do gradiente descendente é um algoritmo comum usado em problemas de otimização sem restrições.
This is a technical term primarily used in academic and professional contexts within mathematics, computer science, and operations research. It is equally understood and used in both Brazilian Portuguese and European Portuguese academic communities. The term has no colloquial usage and is part of the specialized vocabulary of optimization theory and numerical analysis.
Synonyms / Sinônimos
unrestricted optimizationfree optimizationunconstrained minimization
Antonyms / Antônimos
constrained optimizationrestricted optimizationbounded optimization

Regional Variations

General Brazilian
otimização sem restrições
Standard term used in mathematics and engineering textbooks
São Paulo
otimização irrestrita
Alternative form commonly used in technical and academic contexts
Portugal
otimização sem restrições
Same as Brazilian Portuguese; sometimes called 'otimização irrestrita'
USA Academic
unconstrained optimization
Standard term in computer science, mathematics, and operations research

Related Words

constrained optimizationgradient descentHessian matrixobjective functioncritical pointsconvex optimization
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