Hi Mike,

Thanks for your reply.  I understand what you say, but personnaly I would
appreciate to see other results than best results, because it makes it
possible to adjust a particular system.  As an example, let's say that my
20,50 cross was first and now is second, hence the walk-forward chooses
something else for the next OOS.  But maybe over the long run - that is,
many years - 20,50 would be in the top 5 and I only have to adjust to what
changed in the market (e.g. volatility, market going down, etc.) to make it
better.

You see, in this particular case, I don't have to reject the 20,50 crossover
as the walk-forward would propose, but only to make my 20,50 better because
in the long run it is more stable (I would see this if I could see the 5
best instead of only the best one).

Maybe I am not making sense, but knowing that 13,31 is better than 20,50
which is now better than 14,18 is not helping me a lot; I'd prefer to see
which of those systems performed well in what kind of market and then adjust
the parameters to the market.

Do you understand what I mean?

Thanks!

Louis

2008/4/18, Mike <[EMAIL PROTECTED]>:
>
>   Louis,
>
> I don't think that you are understanding how walk forward works. You
> always want the *best* values for use in the next OOS. What you have
> to understand is that after the last IS period, you will have a new
> set of parameter values that you start trading *live* tomorrow.
>
> You don't want 2nd best. You don't care if last month you were
> trading 20/50. What you care about is that starting tomorrow you want
> to trade 10/25 (for example). 20/50 is *no longer best*, so why do
> you care if it's 2nd, 3rd or 100th best? It's no longer meaningful
> going forward. This is why it is critical that you use an objective
> function that represents your definition of "best".
>
> As for your comments regarding random tests. It sounds like you are
> confusing two issues. Monte Carlo is not Walk Forward.
>
> If you want to apply Monte Carlo when first developing your strategy,
> that's fine. Monte Carlo is used to see how much your performance
> differs when adding noise to the *same set of data* as the original
> optimization. Was it pure chance that your strategy perfomed well
> over that data, or did your strategy still do well even when noise
> was added to the data (i.e. strategy recognized the signal and was
> able to ignore the noise)?
>
> Walk forward is used to validate that your strategy will adapt to the
> market and continue to give positive returns on data that it has
> *never seen before*.
>
> If you want to add sensitivity analysis to your walk forward process
> such that you end up with parameter values that are surrounded by
> other well performing values (as opposed to values isolated at the
> top of a peak surrounded by poor performing values), then you can use
> the walk forward capabilities of IO (See Intelligent Optimizer in
> Files section of this group).
>
> http://www.amibroker.org/userkb/?s=intelligent+optimizer
>
> Mike
>
> --- In amibroker@yahoogroups.com <amibroker%40yahoogroups.com>, "Louis
> Préfontaine"
> <[EMAIL PROTECTED]> wrote:
> >
> > Hi Mike (and everyone),
> >
> > The problem I have with actual walk-forward is this: each
> parameters are
> > tested only once. As an example, if I choose a Cross ma (c,20), ma
> (c,50);
> > and optimize the two variables, each time it will only be tested
> once. But
> > there could be many results with the same variables; I would prefer
> to be
> > able to do a random test of the same variables let's say 1000 times
> to get
> > an average of the results. But with walk-forward that would take
> WEEKS to
> > get it done!
> >
> > The other problem is this one. Let's say that an IS and OOS
> results show
> > that 20 and 50 (in the previous example) are the two best results
> (based on
> > only one test, as I talked previously, but still...). Then, the
> next IS and
> > OOS shows something different (let's say 10 and 25). But maybe 20
> and 50 is
> > still good, been the second best of the list. But the problem is
> that I
> > only see the ultimate best results in the walk-forward! I'd like
> to see,
> > let's say the 5 best results so if a parameter is in the 5 best
> every time I
> > have something stable even if it's not the best parameter at the
> particular
> > IS-OOS time!
> >
> > Sorry again if I gace someone a headache here. I wish I could
> explain
> > better what I mean, but maybe you understand my problem.
> >
> > Thanks,
> >
> > Louis
> >
> > 2008/4/18, Mike <[EMAIL PROTECTED]>:
> > >
> > > Louis,
> > >
> > > That's the whole point of walk forward analysis! The goal is to
> enter
> > > each new OOS period with parameter values *most relevant* to what
> the
> > > market is about to offer. When parameter values change, it is not
> a
> > > sign of failure. It is a sign of adaptation to changing market
> > > conditions.
> > >
> > > If your parameter values stay the same, that suggests that the
> market
> > > is continuing as it had been. If your parameter values change,
> that
> > > suggests that the market has changed and that your strategy has
> > > *adapted* to the change.
> > >
> > > The frequency at which your parameter values change will largely
> be
> > > dependant upon the length of your IS period. If you have a 10
> year IS
> > > period and a 2 week OOS period, it will be a loooooooong time
> before
> > > your parameter values change from one OOS to the next OOS.
> > >
> > > That is why Howard advised you in your earlier thread to
> experiment
> > > with different IS period lengths to determine what the ideal IS
> > > period length is for your strategy.
> > >
> > > If you are unable to find a suitable IS:OOS period lengths
> > > combination, that suggests that your strategy is poor and needs
> to be
> > > reworked or abandoned.
> > >
> > > Mike
> > >
> > > --- In amibroker@yahoogroups.com <amibroker%40yahoogroups.com><amibroker%
> 40yahoogroups.com>, "Louis
> > > Préfontaine"
> > > <rockprog80@> wrote:
> > > >
> > > > Hi Thomas,
> > > >
> > > > I understand what you mean and I agree with you on what you say.
> > > My concern
> > > > is more about what to do when each IS and the following OOS uses
> > > some
> > > > parameters and then each new IS-OOS uses another parameter.
> > > Moreover, all
> > > > those parameters are (as far as I know) the best-of-many and
> they
> > > are not
> > > > resampled, so I see a potential problem and I have trouble
> > > identifying where
> > > > my system fails because if I use a walk-forward of 2 weeks each
> 2
> > > weeks has
> > > > new parameters...
> > > >
> > > > Do you understand what I mean? Sorry if I am confusing...
> English
> > > is not
> > > > my first language.
> > > >
> > > > Louis
> > > >
> > > > 2008/4/18, Thomas Ludwig <Thomas.Ludwig@>:
> > >
> > > > >
> > > > > > The problem with that is the following: let's say my signal
> is
> > > a MA
> > > > > > crossover, and I optimized each MA. I apply a walk-forward
> of 3
> > > > > > months, and each time the MA Crossover is different. So, in
> > > the end,
> > > > > > if the OOS is worse than IS, I don't know much more because
> > > each time
> > > > > > the walk-forward was acting on different MA Crossover.
> > > > >
> > > > >
> > > > > I disagree. Look at it this way: You perform an optimization
> ovet
> > > your
> > > > > IS period, and then you usually select the best parameter
> > > combination
> > > > > based on the metric you chose (like K-ratio). The basic
> > > *assumtion* is
> > > > > that this "best" parameter combination gives you a trading
> system
> > > that
> > > > > can generalize - i.e., it will be able to be profitable even
> if
> > > market
> > > > > conditions change somewhat. But you can't be sure before you
> > > apply this
> > > > > optimized system to NEW data different from the IS data -
> that's
> > > the
> > > > > OOS period. That's exactly what walk-forward is doing. It just
> > > adds one
> > > > > more assumption: That you normally wouldn't stick to the same
> > > > > parameters over several years. That's why it walks forward
> though
> > > the
> > > > > time comparing the optimized result of the respective IS
> period
> > > with
> > > > > the NEW data of the subsequent OOS period. Now, if you compare
> > > your IS
> > > > > results with the OOS results and you find the latter ones
> > > considerably
> > > > > worse that shows that your system is not robust. Think about
> the
> > > 3D
> > > > > optimization graph available in Amibroker: Such a poor system
> > > would
> > > > > probably produce a 3D surface plot with big changes (spikes,
> > > drops)
> > > > > instead of stable plateaus - i.e. it is *very* dependent on
> the
> > > > > parameters you chose. A small change in the parameters for the
> > > tested
> > > > > period would lead to poor results as the system has
> > > only "learned" the
> > > > > market structure in that period and will fail if that changes
> over
> > > > > time.
> > > > >
> > > > >
> > > > > > Do you
> > > > > > understand what I mean? And because the walk-forward only
> > > shows the
> > > > > > BEST result of ONE optimized portfolio result (RAR, RRR,
> CAR,
> > > etc.) I
> > > > > > just can't make it better because I can't see what is result
> > > number
> > > > > > 2, or 3. In that way, optimization seems superior, but
> maybe I
> > > am
> > > > > > not using walk-forward correctly. That is my main concern!
> > > > > >
> > > > > > Louis
> > > > > >
> > > > > > 2008/4/17, Louis Préfontaine <rockprog80@>:
> > > > > > > Hi Thomas,
> > > > > > >
> > > > > > > Do you use Walk-forward as a random optimizer like Monte
> Carlo
> > > > > > > Simulation or do you use it as a parameter optimization
> > > (let's say
> > > > > > > you want to know the best numbers for a MA crossover). Or
> > > maybe
> > > > > > > both?
> > > > > > >
> > > > > > > I ask this because my feeling is that if I use it only as
> a
> > > > > > > parameter optimization, each parameter would be tested
> only
> > > one
> > > > > > > time in each IS or OOS, hence this could not be
> > > significative. I
> > > > > > > tried to add a random simulation 5 times to get the best
> out
> > > of 5
> > > > > > > results, but I was wondering if this was correct or
> simply a
> > > waste
> > > > > > > of time.
> > > > > > >
> > > > > > > Thanks,
> > > > > > >
> > > > > > > Louis
> > > > > > >
> > > > > > > 2008/4/16, Thomas Ludwig <Thomas.Ludwig@>:
> > > > > > > > > Thank you very much Thomas. So in fact the walk-
> forward
> > > > > > > > > measures the data-mining bias in some way? I will read
> > > what
> > > > > > > > > you say I should read, and I will look at chapter 20
> in
> > > > > > > > > Howard's book...
> > > > > > > >
> > > > > > > > Yes, it's explained there in detail. It's great that
> > > Amibroker
> > > > > > > > now automates this process (that wasn't the case when
> > > Howard's
> > > > > > > > book was published).
> > > > > > > >
> > > > > > > > > But still, so far I get the impression that if I
> > > backtested
> > > > > > > > > let's say cross (ma,ma...) for 2000 to 2008 and I take
> > > this
> > > > > > > > > best result and it is 100% CAR, then eben if OOS is
> 50%
> > > CAR I
> > > > > > > > > guess there can still be place for data-ming bias (or
> > > > > > > > > curve-fitting) because the optimization was done with
> the
> > > best
> > > > > > > > > result.
> > > > > > > >
> > > > > > > > If your IS period is 2000-2008 I'm afraid that there is
> no
> > > time
> > > > > > > > left for the OOS period ;-) Both periods must not
> overlap!
> > > In
> > > > > > > > the book (and you can configure Amibroker accordingly)
> the
> > > IS
> > > > > > > > period is chosen to be 2 years and OOS is one year. If
> you
> > > start
> > > > > > > > the process in 2000, the first IS period would be 2000-
> 2001
> > > and
> > > > > > > > the first OOS period would be 2002. The second IS
> period is
> > > > > > > > 2001-2002 and OOS is 2003 - and so forth. In my
> > > understanding
> > > > > > > > this approach simulates the fact that you normally don't
> > > trade a
> > > > > > > > sytem with the same parameters unchanged for many years
> > > (unless
> > > > > > > > it's a really long-term system). Rather, you would re-
> > > optimize
> > > > > > > > the system every 1-2 years to adjust it to changing
> market
> > > > > > > > conditions. That's what the walk-forward test is
> actually
> > > doing.
> > > > > > > > Every new optimization is compared with the results of
> an
> > > OOS
> > > > > > > > period. If the OOS results are considerably worse than
> the
> > > IS
> > > > > > > > results this is a strong hint that the sytem will not
> work
> > > in
> > > > > > > > real trading.
> > > > > > > >
> > > > > > > > > Anyway, if I understand correctly what you say, the
> OOS
> > > will
> > > > > > > > > ALWAYS be less than IS because the IS is optimized -
> that
> > > is,
> > > > > > > > > it will take the best-of-100 (or 200, etc.) result,
> and
> > > compare
> > > > > > > > > it with a more random result that would occure in real
> > > life.
> > > > > > > > > Am I wrong?
> > > > > > > >
> > > > > > > > The OOS results are not necessarily worse - but most
> often
> > > they
> > > > > > > > are. I've analyzed a couple of systems (which I don't
> > > trade) that
> > > > > > > > had beautiful IS equity curves - they all failed the
> walk-
> > > forward
> > > > > > > > test spectacularly. So it seems they were all overfitted
> > > and were
> > > > > > > > not able to generalize.
> > > > > > > >
> > > > > > > > Greetings,
> > > > > > > >
> > > > > > > >
> > > > > > > > Thomas
> > > > > > > >
> > > > > > > > > Thanks,
> > > > > > > > >
> > > > > > > > > Louis
> > > > > > > > >
> > > > > > > > > 2008/4/16, Thomas Ludwig <Thomas.Ludwig@>:
> > > > > > > > > > Louis,
> > > > > > > > > >
> > > > > > > > > > in the IS period your system is optimized, then the
> best
> > > > > > > > > > values from the optimization are used to perform a
> test
> > > over
> > > > > > > > > > the IS and OOS periods.
> > > > > > > > > >
> > > > > > > > > > If the OOS results are worse than the IS results,
> this
> > > means
> > > > > > > > > > that the system doesn't generalize well enough. BTW:
> > > This
> > > > > > > > > > topic is very well explained in chapter 20 of
> Howard's
> > > book.
> > > > > > > > > > I also suggest to look at
> > > > > > > > > >
> > > > > > > > > > http://www.amibroker.com/kb/2008/02/12/getting-
> started-
> > > with-a
> > > > >
> > > > > > > > > >utomat ic-walk-forward-optimization/.
> > > > >
> > > > > > > > > >
> > > > > > > > > > I must say, that walk forward testing has completely
> > > changed
> > > > > > > > > > my way of thinking. It's much easier to see now if a
> > > trading
> > > > > > > > > > system is worth a second look.
> > > > > > > > > >
> > > > > > > > > > Greetings,
> > > > > > > > > >
> > > > > > > > > > Thomas
> > > > > > > > > >
> > > > > > > > > > > Hi,
> > > > > > > > > > >
> > > > > > > > > > > I've been experimenting with walking-forward, and
> I
> > > have
> > > > > > > > > > > some questions regarding how it works.
> > > > > > > > > > >
> > > > > > > > > > > I ran a complete random optimization or
> buying/selling
> > > > > > > > > > > using the variables I set (a MCS in fact), and
> > > > > > > > > > > systematically OOS results were worst than IS. I
> > > don't
> > > > > > > > > > > understand how it works, because whatever if the
> > > sampling
> > > > > > > > > > > is IS or OOS it is always the same variables that
> are
> > > in
> > > > > > > > > > > place.
> > > > > > > > > > >
> > > > > > > > > > > Anyone could explain how this work?
> > > > > > > > > > >
> > > > > > > > > > > Thanks,
> > > > > > > > > > >
> > > > > > > > > > > Louis
> > > > > > > > > >
> > > > > > > > > > ------------------------------------
> > > > > > > > > >
> > > > > > > > > > Please note that this group is for discussion
> between
> > > users
> > > > > > > > > > only.
> > > > > > > > > >
> > > > > > > > > > To get support from AmiBroker please send an e-mail
> > > directly
> > > > > > > > > > to SUPPORT {at} amibroker.com
> > > > > > > > > >
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> > > check
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> > > > > > > > > >
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> > > > > > > >
> > > > > > > > ------------------------------------
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> > > only.
> > > > > > > >
> > > > > > > > To get support from AmiBroker please send an e-mail
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> > > > > > > >
> > > > > > > > For NEW RELEASE ANNOUNCEMENTS and other news always
> check
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> > > > >
> > > > >
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> only.
> > > > >
> > > > > To get support from AmiBroker please send an e-mail directly
> to
> > > > > SUPPORT {at} amibroker.com
> > > > >
> > > > > For NEW RELEASE ANNOUNCEMENTS and other news always check
> DEVLOG:
> > > > > http://www.amibroker.com/devlog/
> > > > >
> > > > > For other support material please check also:
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> > > > > Yahoo! Groups Links
> > > > >
> > > > >
> > > > >
> > > > >
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> > >
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