[mlpack-svn] [MLPACK] #200: compute kernel convolution integrals

[MLPACK Trac]

#200: compute kernel convolution integrals
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  Reporter:  nslagle                                                    |        Owner:  nslagle     
      Type:  defect                                                     |       Status:  accepted    
  Priority:  major                                                      |    Milestone:  mlpack 1.0.1
 Component:  mlpack                                                     |   Resolution:              
  Keywords:  kernel, convolution, least squares cross validation score  |     Blocking:  147, 148    
Blocked By:  199                                                        |  
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Comment (by nslagle):

 We'll be able to obtain volume expressions for the spherical, Gaussian,
 and Epanechnikov kernels.  (I'll look at other available kernels in the
 kernel directory.)  The convolution integral for the Gaussian is trivial
 (simply another Gaussian kernel evaluation); the integral for the
 spherical requires a numerical approximation of a high degree cosine
 integral; the Epanechnikov will require more work, as the density
 expression becomes quite messy over higher dimensions.

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Ticket URL: <https://trac.research.cc.gatech.edu/fastlab/ticket/200#comment:3>
MLPACK <www.fast-lab.org>
MLPACK is an intuitive, fast, and scalable C++ machine learning library developed by the FASTLAB at Georgia Tech under Dr. Alex Gray.