univariate unconstrained optimization


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PDF 1 Unconstrained optimization

The following theorem is the basic result used for univariate unconstrained optimization problems # Theorem 19 (sufficient conditions for local extrema)

PDF B1 Optimization

• Unconstrained univariate optimization • Unconstrained multivariate optimization for quadratic functions: • Stationary points • Steepest descent Page 6 

  • What is the unconstrained optimization?

    The unconstrained optimization essentially deals with finding the global minimum or global maximum of the given function, within the entire real line ℜ .
    We can then search for all local extreme values and compare the value of the function at each of them to find the global optimizing point (min or max).

  • What is the univariate method of optimization?

    Univariate function optimization involves finding the input to a function that results in the optimal output from an objective function.
    This is a common procedure in machine learning when fitting a model with one parameter or tuning a model that has a single hyperparameter.12 oct. 2021

  • In case of uni-variate optimization problem there is only one decision variable.
    In case of multivariate optimization problem there is more than one decision variables.
    In a uni-variate optimization problem x is a scalar variable and not a vector variable.

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