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In poker, we tested the rspsa algorithm by optimising two components of mcraise, the opponent model and the action selection. for both components, we compare the performance resulting by using rspsa with the performance given by an alternative state-of-the-art ; optimisation algorithm. the experiments for the opponent-model optimisation are described in section 5.1 and for the move-selection optimisation in section 5.2. in loa, the rspsa algorithm is employed to tune the realisation-probability weights in mia. according to [7] these weights belong to a class of parameters termed class-s search decisions ; that can be evaluated using search trees. in section 5.3 we show how this property is exploited for improving the efficiency of the learning. 5.1 tuning the opponent model the opponent model of mcraise is embodied in the estimation of p a|hopp cc see section 4.1 ; . the model uses in total six parameters. for problems where the number of parameters is small, fdsa can be a natural competitor to spsa. we combined both spsa and fdsa with rprop. the combined fdsa algorithm will be denoted in the following by rfdsa. some preliminary experiments were performed with the standard spsa, but they did not produce reasonable results perhaps due to the anisotropy of the underlying optimisation problem ; . a natural performance measure of a player's strength is the average amount of money won per hand divided by the value of the small bet sb h ; . typical differences between players are in the range of 0.05 to 0.2sb h. for showing that a 0.05sb h difference is statistically significant in a two player game one has to play up to 20, 000 games. it is possible to speed up the evaluation if antithetic dealing is used as proposed in section 3.3. in this case, in every second game each player is dealt the cards which his her opponent had the game before, while the community cards are kept the same. according to our experience, antithetic dealing reduces the necessary number of games by at least four. this technique is used throughout the play texas holdem poker online experiments.
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This works fine, but it will create a problem when someone else #includes car.h but does not #include person.h and wheel.h. most of the time, things like this don't matter. the first person who finds that car.h doesn't work by itself reports the problem to the team managing car and they fix it. but, every now and then, someone rushing to fix a problem makes a small change at the last minute and suddenly the system fails to compile. then there's a panic while everyone rushes about trying to find the cause of the problem. rule 13 clients of a component must only require to use the #include directive for the component in their implementation file. suppose that component menu depends on component window. then the implementation file for menu should start like this: menu.cpp #include "menu.h" #include "window.h" . no other #include directives should be necessary to express this dependency. note that this implies that it will sometimes be necessary to have #include directives in header files. this rule applies to inheritance dependencies. suppose there is a base class parent and a derived class child. if you want to use the derived class only, you should only need one directive: #include "child.h". this implies that either parent and child are defined in the same file or that the header file looks like this: child.h #ifndef child h #define child h #include "parent.h" class child . rule 14 all definitions with external linkage in the implementation file must have corresponding declarations in the header file.
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