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  2. Multi-objective optimization - Wikipedia

    en.wikipedia.org/wiki/Multi-objective_optimization

    Multi-objective optimization or Pareto optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, or multiattribute optimization) is an area of multiple-criteria decision making that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously.

  3. Pareto chart - Wikipedia

    en.wikipedia.org/wiki/Pareto_chart

    A Pareto chart is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line. The chart is named for the Pareto principle , which, in turn, derives its name from Vilfredo Pareto , a noted Italian economist.

  4. Multivariate Pareto distribution - Wikipedia

    en.wikipedia.org/wiki/Multivariate_Pareto...

    In statistics, a multivariate Pareto distribution is a multivariate extension of a univariate Pareto distribution. [1] There are several different types of univariate Pareto distributions including Pareto Types I−IV and Feller−Pareto. [2] Multivariate Pareto distributions have been defined for many of these types.

  5. Dynamic programming - Wikipedia

    en.wikipedia.org/wiki/Dynamic_programming

    Figure 1. Finding the shortest path in a graph using optimal substructure; a straight line indicates a single edge; a wavy line indicates a shortest path between the two vertices it connects (among other paths, not shown, sharing the same two vertices); the bold line is the overall shortest path from start to goal.

  6. Pareto front - Wikipedia

    en.wikipedia.org/wiki/Pareto_front

    In multi-objective optimization, the Pareto front (also called Pareto frontier or Pareto curve) is the set of all Pareto efficient solutions. [1] The concept is widely used in engineering . [ 2 ] : 111–148 It allows the designer to restrict attention to the set of efficient choices, and to make tradeoffs within this set, rather than ...

  7. Differential dynamic programming - Wikipedia

    en.wikipedia.org/wiki/Differential_Dynamic...

    Sampled differential dynamic programming (SaDDP) is a Monte Carlo variant of differential dynamic programming. [8] [9] [10] It is based on treating the quadratic cost of differential dynamic programming as the energy of a Boltzmann distribution. This way the quantities of DDP can be matched to the statistics of a multidimensional normal ...

  8. Generalized Pareto distribution - Wikipedia

    en.wikipedia.org/wiki/Generalized_Pareto...

    In statistics, the generalized Pareto distribution (GPD) is a family of continuous probability distributions. It is often used to model the tails of another distribution. It is specified by three parameters: location , scale , and shape .

  9. Newmark-beta method - Wikipedia

    en.wikipedia.org/wiki/Newmark-beta_method

    It is widely used in numerical evaluation of the dynamic response of structures and solids such as in finite element analysis to model dynamic systems. The method is named after Nathan M. Newmark , [ 1 ] former Professor of Civil Engineering at the University of Illinois at Urbana–Champaign , who developed it in 1959 for use in structural ...