Rewards normalising in reinforcement learning












1















I have 20 copies of an environment that gets a reward of 0.1 when it reaches it target and 0 otherwise.



What I want to do is make sense of how to normalise the rewards. Suppose I run the environment for 300 time steps. So the reward matrix is of size 300x20.



I usually normalise by doing:



discounted_rewards = torch.zeros_like(rewards, dtype=torch.float32, device=device)
for t in reversed(range(len(rewards))):
running_add = rewards[t] + discount * running_add
discounted_rewards[t] = running_add

mean = discounted_rewards.mean(0, keepdim=True)
std = discounted_rewards.std(0, keepdim=True) + 1e-10
discounted_rewards = (discounted_rewards - mean) / std


However, when I was doing an assignment I normalised the mean across the environments and not timesteps. i.e.



mean = discounted_rewards.mean(1, keepdim=True)
std = discounted_rewards.std(1, keepdim=True) + 1e-10
discounted_rewards = (discounted_rewards - mean) / std


and this seems to train faster. Was using PPO if it helps.



So my questions are:




  1. Which way are you supposed to normalise?

  2. I read this SO post which mentions that normalisation "doesn't mess with the sign of the gradient". However, if the reward is less than the mean it does change the sign of the gradient doesn't it?

  3. (optional) why does normalisation even work?










share|improve this question



























    1















    I have 20 copies of an environment that gets a reward of 0.1 when it reaches it target and 0 otherwise.



    What I want to do is make sense of how to normalise the rewards. Suppose I run the environment for 300 time steps. So the reward matrix is of size 300x20.



    I usually normalise by doing:



    discounted_rewards = torch.zeros_like(rewards, dtype=torch.float32, device=device)
    for t in reversed(range(len(rewards))):
    running_add = rewards[t] + discount * running_add
    discounted_rewards[t] = running_add

    mean = discounted_rewards.mean(0, keepdim=True)
    std = discounted_rewards.std(0, keepdim=True) + 1e-10
    discounted_rewards = (discounted_rewards - mean) / std


    However, when I was doing an assignment I normalised the mean across the environments and not timesteps. i.e.



    mean = discounted_rewards.mean(1, keepdim=True)
    std = discounted_rewards.std(1, keepdim=True) + 1e-10
    discounted_rewards = (discounted_rewards - mean) / std


    and this seems to train faster. Was using PPO if it helps.



    So my questions are:




    1. Which way are you supposed to normalise?

    2. I read this SO post which mentions that normalisation "doesn't mess with the sign of the gradient". However, if the reward is less than the mean it does change the sign of the gradient doesn't it?

    3. (optional) why does normalisation even work?










    share|improve this question

























      1












      1








      1








      I have 20 copies of an environment that gets a reward of 0.1 when it reaches it target and 0 otherwise.



      What I want to do is make sense of how to normalise the rewards. Suppose I run the environment for 300 time steps. So the reward matrix is of size 300x20.



      I usually normalise by doing:



      discounted_rewards = torch.zeros_like(rewards, dtype=torch.float32, device=device)
      for t in reversed(range(len(rewards))):
      running_add = rewards[t] + discount * running_add
      discounted_rewards[t] = running_add

      mean = discounted_rewards.mean(0, keepdim=True)
      std = discounted_rewards.std(0, keepdim=True) + 1e-10
      discounted_rewards = (discounted_rewards - mean) / std


      However, when I was doing an assignment I normalised the mean across the environments and not timesteps. i.e.



      mean = discounted_rewards.mean(1, keepdim=True)
      std = discounted_rewards.std(1, keepdim=True) + 1e-10
      discounted_rewards = (discounted_rewards - mean) / std


      and this seems to train faster. Was using PPO if it helps.



      So my questions are:




      1. Which way are you supposed to normalise?

      2. I read this SO post which mentions that normalisation "doesn't mess with the sign of the gradient". However, if the reward is less than the mean it does change the sign of the gradient doesn't it?

      3. (optional) why does normalisation even work?










      share|improve this question














      I have 20 copies of an environment that gets a reward of 0.1 when it reaches it target and 0 otherwise.



      What I want to do is make sense of how to normalise the rewards. Suppose I run the environment for 300 time steps. So the reward matrix is of size 300x20.



      I usually normalise by doing:



      discounted_rewards = torch.zeros_like(rewards, dtype=torch.float32, device=device)
      for t in reversed(range(len(rewards))):
      running_add = rewards[t] + discount * running_add
      discounted_rewards[t] = running_add

      mean = discounted_rewards.mean(0, keepdim=True)
      std = discounted_rewards.std(0, keepdim=True) + 1e-10
      discounted_rewards = (discounted_rewards - mean) / std


      However, when I was doing an assignment I normalised the mean across the environments and not timesteps. i.e.



      mean = discounted_rewards.mean(1, keepdim=True)
      std = discounted_rewards.std(1, keepdim=True) + 1e-10
      discounted_rewards = (discounted_rewards - mean) / std


      and this seems to train faster. Was using PPO if it helps.



      So my questions are:




      1. Which way are you supposed to normalise?

      2. I read this SO post which mentions that normalisation "doesn't mess with the sign of the gradient". However, if the reward is less than the mean it does change the sign of the gradient doesn't it?

      3. (optional) why does normalisation even work?







      deep-learning reinforcement-learning






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Nov 21 '18 at 0:44









      sachinruksachinruk

      2,12961933




      2,12961933
























          0






          active

          oldest

          votes











          Your Answer






          StackExchange.ifUsing("editor", function () {
          StackExchange.using("externalEditor", function () {
          StackExchange.using("snippets", function () {
          StackExchange.snippets.init();
          });
          });
          }, "code-snippets");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "1"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53403754%2frewards-normalising-in-reinforcement-learning%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Stack Overflow!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53403754%2frewards-normalising-in-reinforcement-learning%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          'app-layout' is not a known element: how to share Component with different Modules

          android studio warns about leanback feature tag usage required on manifest while using Unity exported app?

          WPF add header to Image with URL pettitions [duplicate]