Hi Andrey,

Sorry for the late reply. I am traveling so I could not reply sooner.

In regards to your question about discrepancies between CG-CG.param.init
and CG-CG.pot.new in Step_000, the difference is due to the definition of
the uniform cubic B-Spline functional form; see Eqs. 3.1 and 3.2 in Ref.
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0131754#authcontrib
. CG-CG.param.init are considered as knot-values, c_{i}, for the B-Spline
form, which are not the same as the potential values, u_{i}. Therefore,
CG-CG.param.init and CG-CG.pot.new
 are not exactly the same.

For example, in your CG1-CG1.param.init file with uniform spacing, \Delta
r, of 0.02, for i = 26, r_i = 0.5, c_i = -3.3745224. If you evaluate u_i
for i = 26 using the above B-Spline form, you get u(r=0.5) = -3.351, which
is not same as c(r=0.5)= -3.3745224 given in the CG1-CG1.param.init. This
explains the difference between your CG-CG.param.init and CG-CG.pot.new
plots.

In regards to Hessian Not Positive Definite Error, first check the CG-CG
RDFs computed in the Step_000. These should be very close to those obtained
from IBI since your initial potential guess is from IBI. Could you please
check the RDFs in Step_000?

--
Sikandar



On Tue, Nov 20, 2018 at 3:28 AM 'Andrey Brukhno' via votca <
[email protected]> wrote:

> Hi Sikandar,
>
> Sorry for the delay. Attached is the ZIP file containing the data:
>
> CG1-CG1.pot.in & CG1-CG2.pot.in - the original data obtained with IBI
> earlier;
> CG1-CG1.param.init & CG1-CG2.param.init - the above data interpolated onto
> coarser grid with cubic splines.
>
> I tried to run an RE iteration starting with the latter two files
> (actually 10 potentials in total) and using B-splines but ran into the
> systematic errors with csg_reupdate, as I reported previously.
>
> Thanks for looking into it.
> Andrey
>
> Below is a relevant extract from my settiings.xml (it is same for the
> second interaction):
> -----------------------
>   <non-bonded>
>     <!-- name of the interaction -->
>     <name>CG1-CG1</name>
>     <!-- types involved in this interaction -->
>     <type1>CG1</type1>
>     <type2>CG1</type2>
>     <!-- dimension + grid spacing of tables for calculations -->
>     <min>0</min>
>     <max>1.66</max>
>     <step>0.005</step>
>       <re>
>         <!-- function>cbspl or lj126</function-->
>         <function>cbspl</function>
>         <cbspl>
>         <nknots>84</nknots>
>         <core>extrapolate</core>
>         </cbspl>
>       </re>
>     <inverse>
>       <!-- target distribution (rdf), just give gromas rdf.xvg -->
>       <target>TCH-TCH.dist.tgt</target>
>       <!-- update cycles -->
>       <!--do_potential>1</do_potential-->
>       <do_potential>1 0 0</do_potential>
>       <!-- additional post processing of dU before added to potential -->
>       <!--post_update></post_update-->
>       <post_update>smooth</post_update>
>       <!-- some options for the post update scripts -->
>       <post_update_options>
>         <!--scale>0.10</scale-->
>         <smooth>
>           <iterations>3</iterations>
>         </smooth>
>       </post_update_options>
>       <!-- additional post processing of U after dU added to potential -->
>       <!--post_add>acc_convergence average</post_add-->
>       <post_add>acc_convergence average</post_add>
>       <post_add_options>
>         <!-- convergence check options -->
>         <convergence>
>           <!-- for RE we check change in potentials/parameters (new-cur)
> -->
>           <what>pot</what>
>           <weight>1.0</weight>
>           <base>cur</base>
>           <norm>2</norm>
>         </convergence>
>         <average>
>           <what>param pot</what>
>         </average>
>       </post_add_options>
>       <!-- name of the table for gromacs run -->
>       <gromacs>
>         <table>table_CG1_CG1.xvg</table>
>       </gromacs>
>     </inverse>
>   </non-bonded>
>
> -----------------------
>
>
> On Friday, November 16, 2018 at 6:49:21 PM UTC, sikandar wrote:
>>
>> Hi Andrey,
>>
>> Could you please send me the raw data of your plots?
>>
>> Thanks,
>> Sikandar
>>
>> On Tue, Nov 13, 2018 at 4:32 PM 'Andrey Brukhno' via votca <
>> [email protected]> wrote:
>>
>>> Hi Sikandar,
>>>
>>> I have tried different ranges and different number of knots in the
>>> initial data for CG-CG param.init files, yet I am getting obvious
>>> discrepancies between the data provided and the data generated by
>>> csg_reupdate for CG-CG.pot.new at the veryy beginning of the RE iteration,
>>> i.e. at step_000.
>>>
>>> Please check the new graph attached, exemplifying that the shifts along
>>> x-axis can be far from trivial (as opposed to what I thought before based
>>> on my first hands-on attempt). Clearly, the interpolated data (dashed
>>> lines) are not usable for a reliable RE iteration. I have 10 different
>>> potential types and all of them are skewed like that by csg_reupdate.
>>>
>>> I still hope that I am missing something which should be corrected in my
>>> input, and that it is not a typical interpolation behaviour with B-splines.
>>>
>>> Could you comment on this, please.
>>>
>>> Thanks
>>> Andrey
>>>
>>> On Monday, July 23, 2018 at 5:45:29 PM UTC+1, sikandar wrote:
>>>>
>>>> Hi Andrey,
>>>>
>>>> What do the lines in your plot correspond to? Are you plotting
>>>> param.init vs the potential computed from them? If so, the knot values in
>>>> parameter file and the potential are not the same. Please see Eq. 3.1 from
>>>> http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0131754
>>>> .
>>>>
>>>> Let me know if I missed anything.
>>>>
>>>> --
>>>> Sikandar
>>>>
>>>> On Mon, Jul 23, 2018 at 9:11 AM Christoph Junghans <[email protected]>
>>>> wrote:
>>>>
>>>>> On Mon, Jul 23, 2018 at 9:28 AM, 'Andrey Brukhno' via votca
>>>>> <[email protected]> wrote:
>>>>> > Any comment on this "shift" issue?
>>>>> > I tried to find the relevant script in share/votca/scripts/inverse
>>>>> but it
>>>>> > seems that all interpolation is done by `csg_reupdate' app, and I
>>>>> didn't
>>>>> > have time up to now to look into the code.
>>>>> No idea, that is more a question for Sikandar!
>>>>>
>>>>> >
>>>>> > Thanks! / Andrey
>>>>> >
>>>>> > On Friday, July 20, 2018 at 11:59:37 AM UTC+1, Andrey Brukhno wrote:
>>>>> >>
>>>>> >> ...
>>>>> >> As a matter of fact, the problem appears to be not a poor
>>>>> interpolation
>>>>> >> but a systematic shift in the X axis (by the size of the grid bin
>>>>> in the
>>>>> >> original data, i. e. param.init files) - see the corrected graph
>>>>> where I
>>>>> >> simply shifted all the interpolation curves by dx=0.02.
>>>>> >>
>>>>> >> So I conclude that something is fishy about the x column in the
>>>>> pot.cur
>>>>> >> files.
>>>>> >>
>>>>> >> Andrey
>>>>> >>
>>>>> >> On Friday, July 20, 2018 at 11:45:27 AM UTC+1, Andrey Brukhno wrote:
>>>>> >>>
>>>>> >>> Hi Christoph & Sikandar,
>>>>> >>>
>>>>> >>> Thank you both for your replies!
>>>>> >>>
>>>>> >>> Per your suggestions, I have compared the potentials generated
>>>>> (i.e.
>>>>> >>> B-spline interpolated) based on the initial guesses provided as
>>>>> >>> CGi-CGj.param.init files with the original data (i.e. the contents
>>>>> of those
>>>>> >>> param.init files). I found systematic discrepancies (see the
>>>>> attached graph,
>>>>> >>> where only 3 potentials shown)! - No wonder I am getting into
>>>>> trouble after
>>>>> >>> a new simulation with the potentials being that much off,
>>>>> especially at
>>>>> >>> shorter distances.
>>>>> >>>
>>>>> >>> Is it normal to have such large differences with the interpolated
>>>>> data?
>>>>> >>> I would think that there must be a way to improve on the
>>>>> interpolation by
>>>>> >>> varying something in the input - ?
>>>>> >>> Is it where the LJ repulsive core would help? (Although I think
>>>>> that
>>>>> >>> would be an ad hoc workaround for the poor interpolation issue.)
>>>>> >>>
>>>>> >>> It seems I still need your advice here, based on your practical
>>>>> >>> experience.
>>>>> >>>
>>>>> >>> Andrey
>>>>> >>>
>>>>> >>> On Friday, July 20, 2018 at 7:39:45 AM UTC+1, sikandar wrote:
>>>>> >>>>
>>>>> >>>> Hi Andrey,
>>>>> >>>>
>>>>> >>>> Below are some of the things you can try to address this issue.
>>>>> >>>>
>>>>> >>>> 1. Make sure the potentials generated from your initial
>>>>> parameters are
>>>>> >>>> physically consistent
>>>>> >>>> 2. Increase number of timesteps in CG simulation
>>>>> >>>> 3. Decrease the scaling parameter
>>>>> >>>> 4. If your CG system has charges, then you may need to add a LJ
>>>>> type
>>>>> >>>> potential to your CBSPL CG potential after every CG update to
>>>>> ensure that
>>>>> >>>> the CG potential is repulsive enough at short distances and does
>>>>> not allow
>>>>> >>>> overlap of oppositely charged sites. You can enable this option by
>>>>> >>>> specifying post_update block for every CG potential pair as
>>>>> >>>> <non-bonded>
>>>>> >>>> ...
>>>>> >>>> <post_update>lj</post_update>
>>>>> >>>> <post_update_options>
>>>>> >>>> <lj>
>>>>> >>>> <c6> LJ C6 Value </c6>
>>>>> >>>> <c12> LJ C12 Value </c12>
>>>>> >>>> </lj>
>>>>> >>>> </post_update_options>
>>>>> >>>> ...
>>>>> >>>> </non-bonded>
>>>>> >>>>
>>>>> >>>> I hope this helps.
>>>>> >>>>
>>>>> >>>> Best,
>>>>> >>>> Sikandar
>>>>> >>>>
>>>>> >>>> On Thu, Jul 19, 2018 at 6:13 PM Christoph Junghans <
>>>>> [email protected]>
>>>>> >>>> wrote:
>>>>> >>>>>
>>>>> >>>>>
>>>>> >>>>>
>>>>> >>>>> On Thu, Jul 19, 2018 at 18:15 'Andrey Brukhno' via votca
>>>>> >>>>> <[email protected]> wrote:
>>>>> >>>>>>
>>>>> >>>>>> Hello,
>>>>> >>>>>>
>>>>> >>>>>> I managed to run the RE iteration for a system with 10
>>>>> non-bonded
>>>>> >>>>>> potentials (types).. well, the first iteration anyway, where it
>>>>> terminated
>>>>> >>>>>> after about an hour of running csg_reupdate with the following
>>>>> error:
>>>>> >>>>>>
>>>>> >>>>>> Hessian NOT a positive definite!
>>>>> >>>>>> This can be a result of poor initial guess or ill-suited CG
>>>>> potential
>>>>> >>>>>> settings or poor CG sampling.
>>>>> >>>>>>
>>>>> >>>>>> My understanding is, sometimes this might happen, but this was
>>>>> my
>>>>> >>>>>> second trial where I virtually doubled (44 -> 88) the number of
>>>>> knots and
>>>>> >>>>>> (in both cases) I use potentials derived from an earlier IBI
>>>>> iteration.
>>>>> >>>>>>
>>>>> >>>>>> I would really appreciate clues, hints or general advice as to
>>>>> how to
>>>>> >>>>>> alleviate the issue.
>>>>> >>>>>
>>>>> >>>>> Sikandar will know more, but most likely you will need to throw
>>>>> away
>>>>> >>>>> some frames at the beginning of the trajectory and run the
>>>>> iterations for a
>>>>> >>>>> bit longer!
>>>>> >>>>>
>>>>> >>>>> Christoph
>>>>> >>>>>>
>>>>> >>>>>>
>>>>> >>>>>> Thanks!
>>>>> >>>>>> Andrey
>>>>> >>>>>>
>>>>> >>>>>> --
>>>>> >>>>>> You received this message because you are subscribed to the
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>>>>> >>>>>> Groups "votca" group.
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>>>>> >>>>>> an email to [email protected].
>>>>> >>>>>> To post to this group, send email to [email protected].
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>>>>> >>>>>> For more options, visit https://groups.google.com/d/optout.
>>>>> >>>>>
>>>>> >>>>> --
>>>>> >>>>> Christoph Junghans
>>>>> >>>>> Web: http://www.compphys.de
>>>>> >>>>>
>>>>> >>>>> --
>>>>> >>>>> You received this message because you are subscribed to the
>>>>> Google
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>>>>> >>>>> For more options, visit https://groups.google.com/d/optout.
>>>>> >
>>>>> > --
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>>>>>
>>>>>
>>>>>
>>>>> --
>>>>> Christoph Junghans
>>>>> Web: http://www.compphys.de
>>>>>
>>>>> --
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>>>>>
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