[R] Quadratic Programming

2007-08-17 Thread Tobias Schlottmann
 Hi there,   
   
  Is it basically possible to solve a non-convex quadratic programming with 
optimal solution by any way? What could be the way? How can be this problem 
dealt with? Could you guide me to some references please?
   
  I thank you very much for eny help.
   
  Tobi

   
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[R] Optimization question

2007-07-18 Thread Tobias Schlottmann
  Dear R users,   
  Imagine please an optimization problem:
   
  minimize   sum S1+S2
   
  Subject to :  y - x = a + S1
 x - y = a + S2
   
  and we want to add two more constraints:
   
   y - x = b - S3
   x - y = b - S4
  where a is a small constant value and b is a large constant value, S1 and S2 
are surplus and S3 and S4 are slack variables.
   
  S3 and S4 have to be maximized, not minimized in objective function. But how 
to write this?
   
  Is this correct?  :
   
  minimize sum S1+ S2 - S3 -S4
   
  where actually we want to minimize S1 and S2; and maximize S3 and S4.
   
  If it is not correct, how to formulate this? what to do ?
   
  Thank you for any guide.
   
  Tobias
   

   
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[R] Linear programming question

2007-07-18 Thread Tobias Schlottmann
 Hi everybody,
  consider please an optimization problem:  
   
  minimize   sum S1+S2
   
  Subject to :  y - x = A + S1
 x - y = A + S2
   
  and we want to add two more constraints:
   
   y - x = B - S3
   x - y = B - S4
   
  where A is a small constant value and B is a large constant value, S1 and S2 
are surplus and S3 and S4 are slack variables.
   
  S3 and S4 have to be maximized in objective function. As objective function, 
is this correct?  :
   
  minimize sum S1+ S2 - S3 -S4
   
  where actually we want to minimize S1 and S2; and maximize S3 and S4.
   
  If it is not correct, what to do ?
   
  Thank you for any guide.
   
  Tobias

 
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[R] Implementing Support Vector Regression by ipop in kernlab

2007-07-02 Thread Tobias Schlottmann
 
 Dear R users,
   
  To implement the Support Vector Regression by a general QP, I'm using for 
example the function ipop in kernlab package.
  Let me please have some questions for my understanding. In the example for 
ipop function, the matrix A includes only variable y. However, in Support 
Vector Regression formulation, we have these constraints:
   
  y-f(x)+b=e
  f(x)+b-y=e
   
  How vector y does correspond to the matrix A in this formulation? 
   
  How can we include the constant b of above constraints in ipop? 
   
  In the first term of objective function (according to the kernlab package 
document), variable x should correspond to slack variables by means of SVR 
formulation. However, in the rest of the objective function (quadratic term) , 
variable x corresponds to w in SVR formulation. Therefore, as far as I 
understand x corresponds to two variables. Or what is my missing?
   
   
  I thank you so much for your guids. I'm not an expert in this area. Please 
help me to understand ipop.
   
  with the best regards,
  T. S.
   

   
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[R] QP for solving Support Vector Regression

2007-07-02 Thread Tobias Schlottmann
  Dear R users,   
  I'm trying to run the Support Vector Regression by a general quadratic 
programming function like ipop ( ) in kernlab or solve.QP ( ) in quadprog 
packages.
   
  Since they are general, their application in Support Vector Regression can 
lead to misunderstanding, particularly when constructing matrices. Even their 
examples are general and applied in Support Vector Classification.
   
  Could anybody please introduce an example code for regression case.
   
  Thank you so much for help.
   
  Tobi
   
   

   
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