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- Stochastic_approximation abstract "Stochastic approximation methods are a family of iterative stochastic optimization algorithms that attempt to find zeroes or extrema of functions which cannot be computed directly, but only estimated via noisy observations.Mathematically, this refers to solving:where the objective is to find the parameter , which minimizes for some unknown random variable, . Denoting as the dimension of the parameter , we can assume that while the domain is known, the objective function, , cannot be computed exactly, but instead approximated via simulation. This can be intuitively explained as follows. is the original function we want to minimize. However, due to noise, can not be evaluated exactly. This situation is modeled by the function , where represents the noise and is a random variable. Since is a random variable, so is the value of . The objective is then to minimize , but through evaluating . A reasonable way to do this is to minimize the expectancy of , i.e., .The first, and prototypical, algorithms of this kind are the Robbins-Monro and Kiefer-Wolfowitz algorithms.".
- Stochastic_approximation wikiPageID "8979437".
- Stochastic_approximation wikiPageRevisionID "589584827".
- Stochastic_approximation hasPhotoCollection Stochastic_approximation.
- Stochastic_approximation subject Category:Statistical_approximations.
- Stochastic_approximation subject Category:Stochastic_optimization.
- Stochastic_approximation type Abstraction100002137.
- Stochastic_approximation type Calculation105802185.
- Stochastic_approximation type Cognition100023271.
- Stochastic_approximation type Estimate105803379.
- Stochastic_approximation type HigherCognitiveProcess105770664.
- Stochastic_approximation type ProblemSolving105796750.
- Stochastic_approximation type Process105701363.
- Stochastic_approximation type PsychologicalFeature100023100.
- Stochastic_approximation type StatisticalApproximations.
- Stochastic_approximation type Thinking105770926.
- Stochastic_approximation comment "Stochastic approximation methods are a family of iterative stochastic optimization algorithms that attempt to find zeroes or extrema of functions which cannot be computed directly, but only estimated via noisy observations.Mathematically, this refers to solving:where the objective is to find the parameter , which minimizes for some unknown random variable, .".
- Stochastic_approximation label "Stochastic approximation".
- Stochastic_approximation label "Обучающаяся система".
- Stochastic_approximation sameAs m.027s2hl.
- Stochastic_approximation sameAs Q7617810.
- Stochastic_approximation sameAs Q7617810.
- Stochastic_approximation sameAs Stochastic_approximation.
- Stochastic_approximation wasDerivedFrom Stochastic_approximation?oldid=589584827.
- Stochastic_approximation isPrimaryTopicOf Stochastic_approximation.