Package org.drip.spaces.cover

Vector Spaces Covering Number Estimator
Author:
Lakshmi Krishnamurthy
  • Interface Summary
    Interface Description
    FunctionClassCoveringBounds
    FunctionClassCoveringBounds implements the estimate Lower/Upper Bounds and/or Absolute Values of the Covering Number for the Function Class.
    OperatorClassCoveringBounds
    OperatorClassCoveringBounds implements the estimate Lower/Upper Bounds and/or Absolute Values of the Covering Number for the Operator Class.
  • Class Summary
    Class Description
    CarlStephaniNormedBounds
    CarlStephaniNormedBounds contains the Normed Bounds that result from the Convolution Product of 2 Normed Rx To Normed Rx Function Spaces.
    CarlStephaniProductBounds
    CarlStephaniProductBounds implements the Bounds that result from the Convolution Product Product of 2 Normed Rx To Normed Rx Function Spaces.
    CoveringBoundsHelper
    CoveringBoundsHelper contains the assortment of Utilities used in the Computation of Upper Bounds for Normed Single Function Spaces and Function Space Products.
    L1R1CoveringBounds
    L1R1CoveringBounds implements the Lower/Upper Bounds for the Class of Non-decreasing R1 to L1 R1 for Functions that are:

    Absolutely Bounded Have Bounded Variation The References are:

    P.
    MaureyOperatorCoveringBounds
    MaureyOperatorCoveringBounds implements the estimate the Upper Bounds and/or Absolute Values of the Covering Number for the Hilbert Rd To Supremum Rd Operator Class.
    ScaleSensitiveCoveringBounds
    ScaleSensitiveCoveringBounds implements the Lower/Upper Bounds for the General Class of Functions in terms of their scale-sensitive dimensions (i.e., the fat shattering coefficients).