.. index:: hdmr
.. _hdmr:

.. _high_dimensional_model_representation:

The properties
===============

.. index:: hdmr.N
.. _hdmr.N:

N
--

hdmr/N is a property.


.. index:: hdmr.Nobs
.. _hdmr.Nobs:

Nobs
-----

  Number of observations


.. index:: hdmr.numInputs
.. _hdmr.numInputs:

numInputs
----------

  number of factors or inputs


.. index:: hdmr.output_nbr
.. _hdmr.output_nbr:

output_nbr
-----------

hdmr/output_nbr is a property.


.. index:: hdmr.theta
.. _hdmr.theta:

theta
------

  draws of the inputs


.. index:: hdmr.theta_low
.. _hdmr.theta_low:

theta_low
----------

  lower bound of the inputs


.. index:: hdmr.theta_high
.. _hdmr.theta_high:

theta_high
-----------

  upper bound of the inputs


.. index:: hdmr.g
.. _hdmr.g:

g
--

  objective/blackbox function


.. index:: hdmr.x
.. _hdmr.x:

x
--

hdmr/x is a property.


.. index:: hdmr.expansion_order
.. _hdmr.expansion_order:

expansion_order
----------------

hdmr/expansion_order is a property.


.. index:: hdmr.pol_max_order
.. _hdmr.pol_max_order:

pol_max_order
--------------

hdmr/pol_max_order is a property.


.. index:: hdmr.poly_coefs
.. _hdmr.poly_coefs:

poly_coefs
-----------

hdmr/poly_coefs is a property.


.. index:: hdmr.Indices
.. _hdmr.Indices:

Indices
--------

hdmr/Indices is a property.


.. index:: hdmr.coefficients
.. _hdmr.coefficients:

coefficients
-------------

hdmr/coefficients is a property.


.. index:: hdmr.aggregate
.. _hdmr.aggregate:

aggregate
----------

hdmr/aggregate is a property.


.. index:: hdmr.f0
.. _hdmr.f0:

f0
---

hdmr/f0 is a property.


.. index:: hdmr.D
.. _hdmr.D:

D
--

hdmr/D is a property.


.. index:: hdmr.sample_percentage
.. _hdmr.sample_percentage:

sample_percentage
------------------

hdmr/sample_percentage is a property.


.. index:: hdmr.optimal
.. _hdmr.optimal:

optimal
--------

hdmr/optimal is a property.


.. index:: hdmr.param_names
.. _hdmr.param_names:

param_names
------------

hdmr/param_names is a property.


The methods
============

.. index:: hdmr.estimate
.. _hdmr.estimate:

estimate
---------

hdmr/estimate is a function.
    obj = estimate(obj, debug)


.. index:: hdmr.first_order_effect
.. _hdmr.first_order_effect:

first_order_effect
-------------------

hdmr/first_order_effect is a function.
    first_order_effect(obj, theta, index, output_index)


.. index:: hdmr.hdmr
.. _hdmr.hdmr:

hdmr
-----

  objective is either : f and theta or a function that will
  help calculate f and theta




.. index:: hdmr.metamodel
.. _hdmr.metamodel:

metamodel
----------

hdmr/metamodel is a function.
    fit = metamodel(obj, theta)


.. index:: hdmr.plot_fit
.. _hdmr.plot_fit:

plot_fit
---------

hdmr/plot_fit is a function.
    plot_fit(obj, theta)


.. index:: hdmr.polynomial_evaluation
.. _hdmr.polynomial_evaluation:

polynomial_evaluation
----------------------

  later on, the function that normalizes could come in here so that the
  normalization is done according to the hdmr_type of polynomial chosen.


.. index:: hdmr.polynomial_integration
.. _hdmr.polynomial_integration:

polynomial_integration
-----------------------

  polynomial is of the form a0+a1\*x+...+ar\*x^r
  the integral is then a0\*x+a1/2\*x^2+...+ar/(r+1)\*x^(r+1)


.. index:: hdmr.polynomial_multiplication
.. _hdmr.polynomial_multiplication:

polynomial_multiplication
--------------------------

  each polynomial is of the form a0+a1\*x+...+ar\*x^r