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Levenberg-Marquardt Algorithm #2

I am trying to write a MATLAB code of the Levenberg-Marquardt Algorithm based on Section III in the paper "Training Feedforward networks with the Marquardt Algorithm" by Matin.T.Hagan. So considering I have a set of training inputs and a set of Target inputs, my question is 

  - How do I calculate the Jacobian Matrix ? I understand that it is a matrix of the partial derivatives of the vector being calculated. But am not sure how do I actually use the Jacobian command that is in MATLAB to compute the jacobian matrix ? .

   hoping somone can help me out. Thank you .
0
manosamuel (35)
1/24/2010 5:01:02 PM
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On 24 Jan, 18:01, "Mano Samuel" <manosam...@rediffmail.com> wrote:
> I am trying to write a MATLAB code of the Levenberg-Marquardt Algorithm b=
ased on Section III in the paper "Training Feedforward networks with the Ma=
rquardt Algorithm" by Matin.T.Hagan. So considering I have a set of trainin=
g inputs and a set of Target inputs, my question is
>
> =A0 - How do I calculate the Jacobian Matrix ? I understand that it is a =
matrix of the partial derivatives of the vector being calculated. But am no=
t sure how do I actually use the Jacobian command that is in MATLAB to comp=
ute the jacobian matrix ? .

I would be very surprised if there is such a command.

The Jacobian is a matrix of partial derivatives of the
function you attempt to optimize. If you have an analytic
expression for the fucntion, compute the partial derivatives
analytically and arrange in a matrix.

If you can't find the analytic expressions for the partial
derivatives, you can come up with all kinds of numerical
estimates. But be aware that not all such estimates are
very good. In which case you might prefer to use a method
that does not require the Jacobian at all.

All this is standard material in an intro class on
numerical optimization. Find a textbook and read.

Rune
0
allnor (8506)
1/24/2010 5:57:58 PM
MATLAB has two potentially relevant commands.  The jacobian function
in the symbolic computation toolbox computes a symbolic Jacobian.  The
numjac command uses finite difference approximations to compute the
jacobian of a function at a particular point.
0
1/24/2010 6:02:52 PM
"Mano Samuel" <manosamuel@rediffmail.com> wrote in message <hjhuce$6fh$1@fred.mathworks.com>...

>   - How do I calculate the Jacobian Matrix ? I understand that it is a matrix of the partial derivatives of the vector being calculated. But am not sure how do I actually use the Jacobian command that is in MATLAB to compute the jacobian matrix ? .
================

jacobian() is a command in the Symbolic Math Toolbox, so first off, you have to have that. If you do have that, its usage is documented here, with an example: 


http://www.mathworks.com/access/helpdesk/help/toolbox/symbolic/jacobian.html
0
mattjacREMOVE (3195)
1/24/2010 6:07:02 PM
"Matt J " <mattjacREMOVE@THISieee.spam> wrote in message <hji286$9u7$1@fred.mathworks.com>...
> "Mano Samuel" <manosamuel@rediffmail.com> wrote in message <hjhuce$6fh$1@fred.mathworks.com>...
> 
> >   - How do I calculate the Jacobian Matrix ? I understand that it is a matrix of the partial derivatives of the vector being calculated. But am not sure how do I actually use the Jacobian command that is in MATLAB to compute the jacobian matrix ? .
> ================
> 
> jacobian() is a command in the Symbolic Math Toolbox, so first off, you have to have that. If you do have that, its usage is documented here, with an example: 
> 
> 
> http://www.mathworks.com/access/helpdesk/help/toolbox/symbolic/jacobian.html

Thank you .. 
0
manosamuel (35)
1/25/2010 9:45:04 AM
"Mano Samuel" wrote in message <hjhuce$6fh$1@fred.mathworks.com>...
> 
> I am trying to write a MATLAB code of the Levenberg-Marquardt Algorithm based on Section III in the paper "Training Feedforward networks with the Marquardt Algorithm" by Matin.T.Hagan. So considering I have a set of training inputs and a set of Target inputs, my question is 
> 
>   - How do I calculate the Jacobian Matrix ? I understand that it is a matrix of the partial derivatives of the vector being calculated. But am not sure how do I actually use the Jacobian command that is in MATLAB to compute the jacobian matrix ? .
> 
>    hoping somone can help me out. Thank you .

Hello Mr.Mano Samuel,

  I am also trying to write own code for   Levenberg-Marquardt Algorithm for feed forward neural network, i hope you would have programmed it so can you please help me out in programming the same. i am new in using matlab so can you please help me out to program for  Levenberg-Marquardt Algorithm

Thanking you

raj
0
prk_mect (15)
4/5/2011 8:09:04 AM
Reply:

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I'm wondering if anyone has any insight/experience with the MATLAB Coder product, http://www.mathworks.com/products/matlab-coder/ which claims to be able to convert MATLAB code to C/C++ code. It seems to me that there has to be some hidden catches/limitations on how well it works. For starters, if we could freely transform all of our M-Code to C, it seems that we would be able to expose the source code for all TMW's proprietary built-in functions. For example, if I wanted to see how the FFT was implemented, I would apply the MATLAB Coder to the 1-line mfile containing Y=fft(X); Also, I'm wondering if/how the Coder would be smart enough to avoid constructing logical index arrays. For example, in M-Code programming, if I want to selectively modify the elements of an array, I have to build logical index arrays like so: idx=(A<0); A(idx)=1; In other words, I have to allocate a whole array, idx, the same size as A just to modify all of its negative elements. In a C/C++ implementation, building logical arrays like idx are things you avoid in favor of simple for-looped conditional tests like the following: for (i=0; i<=N; i++) { if A[i]<0, A[i]=1; end } Does anyone know if the Coder is smart enough to avoid logical indexing when it translates things into C code? If you want to know how MATLAB implements FFT, you won't find out by using Coder. Coder generates a generic radix-2 FFT for power-of-2 lengths only. It's no secret that MATLAB le...

Work in Matlab #2
Hello everyone I do any work in Matlab: function analysis, processing and visualization of data and information in general. Works related to mathematics, physics, fluid mechanics, numerical methods, environment, models and process automation. The cost per job is negotiable, 50% at the beginning and 50% at the end. If you are interested write me to correa.dave30@gmail.com Greetings Dave ...

Matlab freezes #2
Hello Friends, I have written an application(some .m files) in R2007b version of Matlab. I am running this code on a remote server and I am running Matlab2008b in this server. What happens is that the execution of the code simply freezes. Is it possible to have a software watchdog timer kindof thingy that can solve this problem? Thanks, LFG "LFG Tech" wrote in message <ir0r0s$3ht$1@newscl01ah.mathworks.com>... > Hello Friends, > > I have written an application(some .m files) in R2007b version of Matlab. I am running this code on a remote server and I am running Matlab2008b in this server. What happens is that the execution of the code simply freezes. Is it possible to have a software watchdog timer kindof thingy that can solve this problem? > > > Thanks, > LFG Another point - i mentioned a watchdog timer in Matlab kind of situation. But, since that is in code as well, wld it also not freeze ? I want it to be independant from the execution of the application, just monitor this execution from the outside/. Or is it possible to generate the reports for each and every line or such , a very verbose report for each iteration? Refards, LFG. "LFG Tech " <vinodkaruvat@gmail.com> wrote in message news:ir0rfr$553$1@newscl01ah.mathworks.com... > "LFG Tech" wrote in message <ir0r0s$3ht$1@newscl01ah.mathworks.com>... >> Hello Friends, >> >> I have written an application(some .m files) in...

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