The abstract base class for Gaussian distributions. More...
#include <vpdl_gaussian_base.h>
Public Types | |
| typedef vpdt_field_default< T, n >::type | vector |
| the data type used for vectors. | |
| typedef vpdt_field_default< T, n >::type | field_type |
| the data type used for vectors. | |
| typedef vpdt_field_traits < field_type >::matrix_type | matrix |
| the data type used for matrices. | |
Public Member Functions | |
| virtual | ~vpdl_gaussian_base () |
| Destructor. | |
| virtual const vector & | mean () const =0 |
| Access the mean directly. | |
| virtual void | set_mean (const vector &mean)=0 |
| Set the mean. | |
| virtual unsigned int | dimension () const =0 |
Return the run time dimension, which does not equal n when n==0. | |
| virtual vpdl_distribution< T, n > * | clone () const =0 |
| Create a copy on the heap and return base class pointer. | |
| virtual T | density (const vector &pt) const =0 |
| Evaluate the unnormalized density at a point. | |
| virtual T | prob_density (const vector &pt) const |
| Evaluate the probability density at a point. | |
| virtual T | log_prob_density (const vector &pt) const |
| Evaluate the log probability density at a point. | |
| virtual T | gradient_density (const vector &pt, vector &g) const =0 |
| Compute the gradient of the unnormalized density at a point. | |
| virtual T | norm_const () const =0 |
| The normalization constant for the density. | |
| virtual T | cumulative_prob (const vector &pt) const =0 |
| Evaluate the cumulative distribution function at a point. | |
| virtual vector | inverse_cdf (const T &p) const |
| Compute the inverse of the cumulative_prob() function. | |
| virtual T | box_prob (const vector &min_pt, const vector &max_pt) const |
| The probability of being in an axis-aligned box. | |
| virtual void | compute_mean (vector &mean) const =0 |
| Compute the mean of the distribution. | |
| virtual void | compute_covar (matrix &covar) const =0 |
| Compute the covariance of the distribution. | |
Detailed Description
template<class T, unsigned int n = 0>
class vpdl_gaussian_base< T, n >
The abstract base class for Gaussian distributions.
All Gaussian classes represent the mean in the same way, so it is managed in this base class. Derived classes differ in how they represent covariance
Definition at line 23 of file vpdl_gaussian_base.h.
Member Typedef Documentation
typedef vpdt_field_default<T,n>::type vpdl_distribution< T, n >::field_type [inherited] |
the data type used for vectors.
Reimplemented in vpdl_mixture_of< dist_t >.
Definition at line 36 of file vpdl_distribution.h.
typedef vpdt_field_traits<field_type>::matrix_type vpdl_distribution< T, n >::matrix [inherited] |
the data type used for matrices.
Reimplemented in vpdl_kernel_vbw_base< T, n >, vpdl_kernel_fbw_base< T, n >, vpdl_mixture_of< dist_t >, vpdl_mixture< T, n >, vpdl_gaussian_sphere< T, n >, vpdl_kernel_base< T, n >, vpdl_gaussian_indep< T, n >, vpdl_kernel_gaussian_sfbw< T, n >, vpdl_gaussian< T, n >, vpdl_multi_cmp_dist< T, n >, and vpdl_multi_cmp_dist< vpdt_dist_traits< dist_t >::scalar_type, vpdt_dist_traits< dist_t >::dimension >.
Definition at line 41 of file vpdl_distribution.h.
| typedef vpdt_field_default<T,n>::type vpdl_gaussian_base< T, n >::vector |
the data type used for vectors.
Reimplemented from vpdl_distribution< T, n >.
Reimplemented in vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian< T, n >.
Definition at line 27 of file vpdl_gaussian_base.h.
Constructor & Destructor Documentation
| virtual vpdl_gaussian_base< T, n >::~vpdl_gaussian_base | ( | ) | [inline, virtual] |
Destructor.
Definition at line 31 of file vpdl_gaussian_base.h.
Member Function Documentation
| T vpdl_distribution< T, n >::box_prob | ( | const vector & | min_pt, |
| const vector & | max_pt | ||
| ) | const [virtual, inherited] |
The probability of being in an axis-aligned box.
The box is defined by two points, the minimum and maximum. Implemented in terms of cumulative_prob() by default.
Reimplemented in vpdl_mixture< T, n >, vpdl_kernel_gaussian_sfbw< T, n >, vpdl_gaussian_sphere< T, n >, and vpdl_mixture_of< dist_t >.
Definition at line 86 of file vpdl_distribution.txx.
| virtual vpdl_distribution<T,n>* vpdl_distribution< T, n >::clone | ( | ) | const [pure virtual, inherited] |
Create a copy on the heap and return base class pointer.
Implemented in vpdl_mixture< T, n >, vpdl_mixture_of< dist_t >, vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, vpdl_gaussian< T, n >, and vpdl_kernel_gaussian_sfbw< T, n >.
| virtual void vpdl_distribution< T, n >::compute_covar | ( | matrix & | covar | ) | const [pure virtual, inherited] |
Compute the covariance of the distribution.
This may be trivial for distributions like Gaussians, but actually involves computation for others.
Implemented in vpdl_mixture< T, n >, vpdl_kernel_gaussian_sfbw< T, n >, vpdl_gaussian_sphere< T, n >, vpdl_gaussian< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_mixture_of< dist_t >.
| virtual void vpdl_distribution< T, n >::compute_mean | ( | vector & | mean | ) | const [pure virtual, inherited] |
Compute the mean of the distribution.
This may be trivial for distributions like Gaussians, but actually involves computation for others.
Implemented in vpdl_mixture< T, n >, vpdl_gaussian_sphere< T, n >, vpdl_mixture_of< dist_t >, vpdl_gaussian_indep< T, n >, vpdl_gaussian< T, n >, and vpdl_kernel_base< T, n >.
| virtual T vpdl_distribution< T, n >::cumulative_prob | ( | const vector & | pt | ) | const [pure virtual, inherited] |
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
- Note:
- It is not possible to compute this value for all functions in closed form. In some cases, numerical integration may be used. If no good solutions exists the function should return a quiet NaN.
Implemented in vpdl_mixture< T, n >, vpdl_kernel_gaussian_sfbw< T, n >, vpdl_mixture_of< dist_t >, vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian< T, n >.
| virtual T vpdl_distribution< T, n >::density | ( | const vector & | pt | ) | const [pure virtual, inherited] |
Evaluate the unnormalized density at a point.
- Note:
- This is not a probability density. To make this a probability multiply by norm_const()
- See also:
- prob_density
Implemented in vpdl_mixture< T, n >, vpdl_mixture_of< dist_t >, vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, vpdl_gaussian< T, n >, and vpdl_kernel_gaussian_sfbw< T, n >.
| virtual unsigned int vpdl_distribution< T, n >::dimension | ( | ) | const [pure virtual, inherited] |
Return the run time dimension, which does not equal n when n==0.
Implemented in vpdl_mixture< T, n >, vpdl_mixture_of< dist_t >, vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, vpdl_gaussian< T, n >, and vpdl_kernel_base< T, n >.
| virtual T vpdl_distribution< T, n >::gradient_density | ( | const vector & | pt, |
| vector & | g | ||
| ) | const [pure virtual, inherited] |
Compute the gradient of the unnormalized density at a point.
- Returns:
- the density at pt since it is usually needed as well, and is often trivial to compute while computing gradient
- Return values:
-
g the gradient vector
Implemented in vpdl_mixture< T, n >, vpdl_mixture_of< dist_t >, vpdl_kernel_gaussian_sfbw< T, n >, vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian< T, n >.
| 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.
- Note:
- This is only valid for univariate distributions multivariate distributions will return a quiet NaN
The value of x: P(x'<x) = P for x' drawn from the distribution. This is only valid for univariate distributions multivariate distributions will return -infinity
Definition at line 75 of file vpdl_distribution.txx.
| 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_sphere< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian< T, n >.
Definition at line 62 of file vpdl_distribution.h.
| virtual const vector& vpdl_gaussian_base< T, n >::mean | ( | ) | const [pure virtual] |
Access the mean directly.
Implemented in vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian< T, n >.
| virtual T vpdl_distribution< T, n >::norm_const | ( | ) | const [pure virtual, inherited] |
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
Implemented in vpdl_mixture< T, n >, vpdl_kernel_fbw_base< T, n >, vpdl_mixture_of< dist_t >, vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian< T, n >.
| virtual T vpdl_distribution< T, n >::prob_density | ( | const vector & | pt | ) | const [inline, virtual, inherited] |
Evaluate the probability density at a point.
Reimplemented in vpdl_mixture< T, n >, vpdl_mixture_of< dist_t >, vpdl_kernel_gaussian_sfbw< T, n >, vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian< T, n >.
Definition at line 56 of file vpdl_distribution.h.
| virtual void vpdl_gaussian_base< T, n >::set_mean | ( | const vector & | mean | ) | [pure virtual] |
Set the mean.
Implemented in vpdl_gaussian_sphere< T, n >, vpdl_gaussian_indep< T, n >, and vpdl_gaussian< T, n >.
The documentation for this class was generated from the following file:
- core/vpdl/vpdl_gaussian_base.h
