#include <vpdl_mixture_of.h>
Inheritance diagram for vpdl_mixture_of< dist_t >:
A mixture is a weighted linear combination of other mixtures. This class represents a mixture of a specific type of distribution. Each component in the mixture has its own weight and parameters, but each must be of the same type. dist_t is the type of a component distribution
Definition at line 29 of file vpdl_mixture_of.h.
Public Types | |
| typedef dist_t::field_type | field_type |
| the data type to represent a point in the field. | |
| typedef dist_t | component_type |
| define the component type. | |
| typedef dist_t::field_type | F |
| the data type to represent a point in the field. | |
| typedef vpdt_field_traits< field_type >::scalar_type | T |
| define the scalar type (normally specified by template parameter T). | |
| typedef vpdt_field_traits< field_type >::vector_type | vector |
| define the vector type. | |
| typedef vpdt_field_traits< field_type >::matrix_type | matrix |
| the data type used for matrices. | |
Public Member Functions | |
| vpdl_mixture_of () | |
| virtual | ~vpdl_mixture_of () |
| virtual vpdl_distribution< T, n > * | clone () const |
| Create a copy on the heap and return base class pointer. | |
| virtual unsigned int | dimension () const |
| Return the run time dimension. | |
| unsigned int | num_components () const |
| Return the number of components in the mixture. | |
| const dist_t & | distribution (unsigned int index) const |
| Access (const) a component distribution of the mixture. | |
| dist_t & | distribution (unsigned int index) |
| Access a component distribution of the mixture. | |
| T | weight (unsigned int index) const |
| Return the weight of a component in the mixture. | |
| void | set_weight (unsigned int index, const T &w) |
| Set the weight of a component in the mixture. | |
| bool | insert (const dist_t &d, const T &weight=T(0)) |
| Insert a new component at the end of the vector. | |
| bool | remove_last () |
| Remove the last component in the vector. | |
| T | density (const vector &pt) const |
| Compute the unnormalized density at this point. | |
| T | prob_density (const vector &pt) const |
| Compute the probability density at this point. | |
| virtual T | gradient_density (const vector &pt, vector &g) const |
| Compute the gradient of the unnormalized density at a point. | |
| T | box_prob (const vector &min_pt, const vector &max_pt) const |
| The probability integrated over a box. | |
| virtual T | cumulative_prob (const vector &pt) const |
| Evaluate the cumulative distribution function at a point. | |
| virtual void | compute_mean (vector &mean) const |
| Compute the mean of the distribution. | |
| virtual void | compute_covar (matrix &covar) const |
| Compute the covariance of the distribution. | |
| virtual T | norm_const () const |
| The normalization constant for the density. | |
| void | normalize_weights () |
| Normalize the weights of the components to add to 1. | |
| void | sort () |
| Sort the components in order of decreasing weight. | |
| void | sort (unsigned int idx1, unsigned int idx2) |
| Sort the components in the range idx1 to idx2 in order of decreasing weight. | |
| template<class comp_type_> | |
| void | sort (comp_type_ comp) |
| Sort the components using any StrictWeakOrdering function. | |
| template<class comp_type_> | |
| void | sort (comp_type_ comp, unsigned int idx1, unsigned int idx2) |
| Sort the components in the range idx1 to idx2 using any StrictWeakOrdering function. | |
| virtual T | log_prob_density (const vector &pt) const |
| Evaluate the log probability density at a point. | |
| virtual vector | inverse_cdf (const T &p) const |
| Compute the inverse of the cumulative_prob() function. | |
Static Public Attributes | |
| static const unsigned int | n = vpdt_field_traits<field_type>::dimension |
| define the fixed dimension (normally specified by template parameter n). | |
Private Attributes | |
| vpdt_mixture_of< dist_t > | impl_ |
| typedef dist_t::field_type vpdl_mixture_of< dist_t >::field_type |
the data type to represent a point in the field.
Reimplemented from vpdl_distribution< T, n >.
Definition at line 37 of file vpdl_mixture_of.h.
| typedef dist_t vpdl_mixture_of< dist_t >::component_type |
| typedef dist_t::field_type vpdl_mixture_of< dist_t >::F |
| typedef vpdt_field_traits<field_type>::scalar_type vpdl_mixture_of< dist_t >::T |
define the scalar type (normally specified by template parameter T).
Definition at line 46 of file vpdl_mixture_of.h.
| typedef vpdt_field_traits<field_type>::vector_type vpdl_mixture_of< dist_t >::vector |
define the vector type.
Reimplemented from vpdl_multi_cmp_dist< vpdt_dist_traits< dist_t >::scalar_type, vpdt_dist_traits< dist_t >::dimension >.
Definition at line 48 of file vpdl_mixture_of.h.
| typedef vpdt_field_traits<field_type>::matrix_type vpdl_mixture_of< dist_t >::matrix |
the data type used for matrices.
Reimplemented from vpdl_multi_cmp_dist< vpdt_dist_traits< dist_t >::scalar_type, vpdt_dist_traits< dist_t >::dimension >.
Definition at line 50 of file vpdl_mixture_of.h.
| vpdl_mixture_of< dist_t >::vpdl_mixture_of | ( | ) | [inline] |
Definition at line 54 of file vpdl_mixture_of.h.
| virtual vpdl_mixture_of< dist_t >::~vpdl_mixture_of | ( | ) | [inline, virtual] |
Definition at line 57 of file vpdl_mixture_of.h.
| virtual vpdl_distribution<T,n>* vpdl_mixture_of< dist_t >::clone | ( | ) | const [inline, virtual] |
Create a copy on the heap and return base class pointer.
Implements vpdl_distribution< T, n >.
Definition at line 60 of file vpdl_mixture_of.h.
| virtual unsigned int vpdl_mixture_of< dist_t >::dimension | ( | ) | const [inline, virtual] |
Return the run time dimension.
Implements vpdl_distribution< T, n >.
Definition at line 66 of file vpdl_mixture_of.h.
| unsigned int vpdl_mixture_of< dist_t >::num_components | ( | ) | const [inline, virtual] |
Return the number of components in the mixture.
Implements vpdl_multi_cmp_dist< vpdt_dist_traits< dist_t >::scalar_type, vpdt_dist_traits< dist_t >::dimension >.
Definition at line 69 of file vpdl_mixture_of.h.
| const dist_t& vpdl_mixture_of< dist_t >::distribution | ( | unsigned int | index | ) | const [inline] |
Access (const) a component distribution of the mixture.
Definition at line 72 of file vpdl_mixture_of.h.
| dist_t& vpdl_mixture_of< dist_t >::distribution | ( | unsigned int | index | ) | [inline] |
| T vpdl_mixture_of< dist_t >::weight | ( | unsigned int | index | ) | const [inline] |
| void vpdl_mixture_of< dist_t >::set_weight | ( | unsigned int | index, | |
| const T & | w | |||
| ) | [inline] |
| bool vpdl_mixture_of< dist_t >::insert | ( | const dist_t & | d, | |
| const T & | weight = T(0) | |||
| ) | [inline] |
| bool vpdl_mixture_of< dist_t >::remove_last | ( | ) | [inline] |
| T vpdl_mixture_of< dist_t >::density | ( | const vector & | pt | ) | const [inline, virtual] |
Compute the unnormalized density at this point.
Implements vpdl_distribution< T, n >.
Definition at line 92 of file vpdl_mixture_of.h.
| T vpdl_mixture_of< dist_t >::prob_density | ( | const vector & | pt | ) | const [inline, virtual] |
Compute the probability density at this point.
Reimplemented from vpdl_distribution< T, n >.
Definition at line 95 of file vpdl_mixture_of.h.
| virtual T vpdl_mixture_of< dist_t >::gradient_density | ( | const vector & | pt, | |
| vector & | g | |||
| ) | const [inline, virtual] |
Compute the gradient of the unnormalized density at a point.
| g | the gradient vector |
Implements vpdl_distribution< T, n >.
Definition at line 101 of file vpdl_mixture_of.h.
| T vpdl_mixture_of< dist_t >::box_prob | ( | const vector & | min_pt, | |
| const vector & | max_pt | |||
| ) | const [inline, virtual] |
The probability integrated over a box.
Reimplemented from vpdl_distribution< T, n >.
Definition at line 107 of file vpdl_mixture_of.h.
| virtual T vpdl_mixture_of< dist_t >::cumulative_prob | ( | const vector & | pt | ) | const [inline, virtual] |
Evaluate the cumulative distribution function at a point.
This is the integral of the density function from negative infinity (in all dimensions) to the point in question
Implements vpdl_distribution< T, n >.
Definition at line 113 of file vpdl_mixture_of.h.
| virtual void vpdl_mixture_of< dist_t >::compute_mean | ( | vector & | mean | ) | const [inline, virtual] |
Compute the mean of the distribution.
weighted average of the component means
Implements vpdl_distribution< T, n >.
Definition at line 118 of file vpdl_mixture_of.h.
| virtual void vpdl_mixture_of< dist_t >::compute_covar | ( | matrix & | covar | ) | const [inline, virtual] |
Compute the covariance of the distribution.
Implements vpdl_distribution< T, n >.
Definition at line 121 of file vpdl_mixture_of.h.
| virtual T vpdl_mixture_of< dist_t >::norm_const | ( | ) | const [inline, virtual] |
The normalization constant for the density.
When density() is multiplied by this value it becomes prob_density norm_const() is reciprocal of the integral of density over the entire field
Implements vpdl_distribution< T, n >.
Definition at line 126 of file vpdl_mixture_of.h.
| void vpdl_mixture_of< dist_t >::normalize_weights | ( | ) | [inline] |
Normalize the weights of the components to add to 1.
Definition at line 129 of file vpdl_mixture_of.h.
| void vpdl_mixture_of< dist_t >::sort | ( | ) | [inline] |
Sort the components in order of decreasing weight.
Definition at line 132 of file vpdl_mixture_of.h.
| void vpdl_mixture_of< dist_t >::sort | ( | unsigned int | idx1, | |
| unsigned int | idx2 | |||
| ) | [inline] |
Sort the components in the range idx1 to idx2 in order of decreasing weight.
Definition at line 135 of file vpdl_mixture_of.h.
| void vpdl_mixture_of< dist_t >::sort | ( | comp_type_ | comp | ) | [inline] |
Sort the components using any StrictWeakOrdering function.
The prototype should be
template <class dist_t> bool functor(const dist_t& d1, const vpdt_dist_traits<dist_t>::scalar_type& w1, const dist_t& d2, const vpdt_dist_traits<dist_t>::scalar_type& w2);
Definition at line 145 of file vpdl_mixture_of.h.
| void vpdl_mixture_of< dist_t >::sort | ( | comp_type_ | comp, | |
| unsigned int | idx1, | |||
| unsigned int | idx2 | |||
| ) | [inline] |
Sort the components in the range idx1 to idx2 using any StrictWeakOrdering function.
Definition at line 149 of file vpdl_mixture_of.h.
| virtual T vpdl_distribution< T, n >::log_prob_density | ( | const vector & | pt | ) | const [inline, virtual, inherited] |
Evaluate the log probability density at a point.
Reimplemented in vpdl_gaussian< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian_sphere< T, n >.
Definition at line 62 of file vpdl_distribution.h.
| vpdl_distribution< T, n >::vector vpdl_distribution< T, n >::inverse_cdf | ( | const T & | p | ) | const [virtual, inherited] |
Compute the inverse of the cumulative_prob() function.
The value of x: P(x'<x) = P for x' drawn from the distribution.
Definition at line 75 of file vpdl_distribution.txx.
vpdt_mixture_of<dist_t> vpdl_mixture_of< dist_t >::impl_ [private] |
Definition at line 33 of file vpdl_mixture_of.h.
const unsigned int vpdl_mixture_of< dist_t >::n = vpdt_field_traits<field_type>::dimension [static] |
define the fixed dimension (normally specified by template parameter n).
Definition at line 42 of file vpdl_mixture_of.h.
1.5.1