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Introduction to Optimization Theory

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  • What is the subject of optimization theory?

    Optimization theory is the more modern term for operations research.
    Optimization theory includes the calculus of variations, control theory, convex optimization theory, decision theory, game theory, linear programming, Markov chains, network analysis, optimization theory, queuing systems, etc.

  • What is the introduction of optimization?

    “Optimization” comes from the same root as “optimal”, which means best.
    When you optimize something, you are “making it best”.
    The objective function, f(x), which is the output you're trying to maximize or minimize.
    The objective function, f(x), which is the output you're trying to maximize or minimize.

  • What is the basic concept of Optimisation?

    The optimization problem is to find the value of the control variables that minimizes (or maximizes) the objective function, subject to a number of constraints.
    The constraints collectively define a set, the feasible set, of permissible values for the control variables.

  • Optimization is the process where we train the model iteratively that results in a maximum and minimum function evaluation.
    It is one of the most important phenomena in Machine Learning to get better results.
Optimization Theory is a branch of mathematics devoted to solving optimization problems. Optimization problems are mathematical functions where we want to minimize or maximize the function value.

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Introduction to Optimization Theory