On Thu, Aug 06, 2009 at 03:37:25AM -0700, roessli bertrand wrote:
> Hello,
> 
> Just have a comment which is also a question concerning dfdp.m 
> 
> The help states 
> "dp= fractional increment of p for numerical derivatives"
> which is fine, but the problem comes that usually nobody knows 
> which step to use to calculate the derivatives. 
> 
> Would it no be better to choose the step in a similar way than it is done 
> in __bgsmin.cc?:
> 
> SQRT_EPS = sqrt(DBL_EPSILON);
>         diff = exp(log(DBL_EPSILON)/3.0);
>          // get 1st derivative by central difference
>         for (j=0; j<k; j++) {
>                 p = parameter(j);
>                 // determine delta for finite differencing
>                 test = (fabs(p) + SQRT_EPS) * SQRT_EPS > diff;
>                 if (test) delta = (fabs(p) + SQRT_EPS) * SQRT_EPS;
>                 else delta = diff;
>                 // right side
>                 parameter(j) = p + delta;
>                 success = __bfgsmin_obj(obj_right, f, f_args, parameter, 
> minarg);
>                 if (!success) error("__numgradient: objective function 
> failed, can't compute numeric gradient");
>                 // left size
>                 parameter(j) = p - delta;
>                 success = __bfgsmin_obj(obj_left, f, f_args, parameter, 
> minarg);
>                 if (!success) error("__numgradient: objective function 
> failed, can't compute numeric gradient");                parameter(j) = p;  
> // restore original parameter for next round
>                 g(j) = (obj_right - obj_left) / (2.0*delta);
>         }

dfdp.m is meant to be called by leasqr.m, which chooses a default of
.001 for dp. This may not be optimal in some cases, but why do you
think the result of the code above is better?

Olaf
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