How to implement Masked Softmax?












3












$begingroup$


input = {1, 2, 3};
mask = {1, 0, 1}


Classic Softmax:



SoftmaxLayer@input



{0.0900306, 0.244728, 0.665241}




Masked Softmax is something like this:



SoftmaxLayer@Pick[input, mask, 1]



{0.119203, 0.880797}




But zeros must be preserved:




{0.119203, 0., 0.880797}











share|improve this question









$endgroup$

















    3












    $begingroup$


    input = {1, 2, 3};
    mask = {1, 0, 1}


    Classic Softmax:



    SoftmaxLayer@input



    {0.0900306, 0.244728, 0.665241}




    Masked Softmax is something like this:



    SoftmaxLayer@Pick[input, mask, 1]



    {0.119203, 0.880797}




    But zeros must be preserved:




    {0.119203, 0., 0.880797}











    share|improve this question









    $endgroup$















      3












      3








      3





      $begingroup$


      input = {1, 2, 3};
      mask = {1, 0, 1}


      Classic Softmax:



      SoftmaxLayer@input



      {0.0900306, 0.244728, 0.665241}




      Masked Softmax is something like this:



      SoftmaxLayer@Pick[input, mask, 1]



      {0.119203, 0.880797}




      But zeros must be preserved:




      {0.119203, 0., 0.880797}











      share|improve this question









      $endgroup$




      input = {1, 2, 3};
      mask = {1, 0, 1}


      Classic Softmax:



      SoftmaxLayer@input



      {0.0900306, 0.244728, 0.665241}




      Masked Softmax is something like this:



      SoftmaxLayer@Pick[input, mask, 1]



      {0.119203, 0.880797}




      But zeros must be preserved:




      {0.119203, 0., 0.880797}








      machine-learning neural-networks






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 3 hours ago









      Alexey GolyshevAlexey Golyshev

      4,9421739




      4,9421739






















          1 Answer
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          2












          $begingroup$

          MaskedSoftmax = NetGraph[
          {
          ElementwiseLayer[Exp],
          ThreadingLayer[Times],
          {SummationLayer, ElementwiseLayer[Max[#, 10^-15] &], ReplicateLayer[Automatic]},
          ThreadingLayer[Divide]
          },
          {
          NetPort["Input"] -> 1 -> 2,
          NetPort["Mask"] -> 2,
          2 -> 3,
          {2, 3} -> 4
          }
          ]


          enter image description here



          MaskedSoftmax[<|"Input" -> {1, 2, 3}, "Mask" -> {1, 0, 1}|>]



          {0.119203, 0., 0.880797}




          MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 1, 0}}|>]



          {{0.119203, 0., 0.880797}, {0., 1., 0.}}




          MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 0, 0}}|>]



          {{0.119203, 0., 0.880797}, {0., 0., 0.}}







          share|improve this answer









          $endgroup$













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            1 Answer
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            active

            oldest

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            1 Answer
            1






            active

            oldest

            votes









            active

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            votes






            active

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            2












            $begingroup$

            MaskedSoftmax = NetGraph[
            {
            ElementwiseLayer[Exp],
            ThreadingLayer[Times],
            {SummationLayer, ElementwiseLayer[Max[#, 10^-15] &], ReplicateLayer[Automatic]},
            ThreadingLayer[Divide]
            },
            {
            NetPort["Input"] -> 1 -> 2,
            NetPort["Mask"] -> 2,
            2 -> 3,
            {2, 3} -> 4
            }
            ]


            enter image description here



            MaskedSoftmax[<|"Input" -> {1, 2, 3}, "Mask" -> {1, 0, 1}|>]



            {0.119203, 0., 0.880797}




            MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 1, 0}}|>]



            {{0.119203, 0., 0.880797}, {0., 1., 0.}}




            MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 0, 0}}|>]



            {{0.119203, 0., 0.880797}, {0., 0., 0.}}







            share|improve this answer









            $endgroup$


















              2












              $begingroup$

              MaskedSoftmax = NetGraph[
              {
              ElementwiseLayer[Exp],
              ThreadingLayer[Times],
              {SummationLayer, ElementwiseLayer[Max[#, 10^-15] &], ReplicateLayer[Automatic]},
              ThreadingLayer[Divide]
              },
              {
              NetPort["Input"] -> 1 -> 2,
              NetPort["Mask"] -> 2,
              2 -> 3,
              {2, 3} -> 4
              }
              ]


              enter image description here



              MaskedSoftmax[<|"Input" -> {1, 2, 3}, "Mask" -> {1, 0, 1}|>]



              {0.119203, 0., 0.880797}




              MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 1, 0}}|>]



              {{0.119203, 0., 0.880797}, {0., 1., 0.}}




              MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 0, 0}}|>]



              {{0.119203, 0., 0.880797}, {0., 0., 0.}}







              share|improve this answer









              $endgroup$
















                2












                2








                2





                $begingroup$

                MaskedSoftmax = NetGraph[
                {
                ElementwiseLayer[Exp],
                ThreadingLayer[Times],
                {SummationLayer, ElementwiseLayer[Max[#, 10^-15] &], ReplicateLayer[Automatic]},
                ThreadingLayer[Divide]
                },
                {
                NetPort["Input"] -> 1 -> 2,
                NetPort["Mask"] -> 2,
                2 -> 3,
                {2, 3} -> 4
                }
                ]


                enter image description here



                MaskedSoftmax[<|"Input" -> {1, 2, 3}, "Mask" -> {1, 0, 1}|>]



                {0.119203, 0., 0.880797}




                MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 1, 0}}|>]



                {{0.119203, 0., 0.880797}, {0., 1., 0.}}




                MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 0, 0}}|>]



                {{0.119203, 0., 0.880797}, {0., 0., 0.}}







                share|improve this answer









                $endgroup$



                MaskedSoftmax = NetGraph[
                {
                ElementwiseLayer[Exp],
                ThreadingLayer[Times],
                {SummationLayer, ElementwiseLayer[Max[#, 10^-15] &], ReplicateLayer[Automatic]},
                ThreadingLayer[Divide]
                },
                {
                NetPort["Input"] -> 1 -> 2,
                NetPort["Mask"] -> 2,
                2 -> 3,
                {2, 3} -> 4
                }
                ]


                enter image description here



                MaskedSoftmax[<|"Input" -> {1, 2, 3}, "Mask" -> {1, 0, 1}|>]



                {0.119203, 0., 0.880797}




                MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 1, 0}}|>]



                {{0.119203, 0., 0.880797}, {0., 1., 0.}}




                MaskedSoftmax[<|"Input" -> {{1, 2, 3}, {1, 2, 3}}, "Mask" -> {{1, 0, 1}, {0, 0, 0}}|>]



                {{0.119203, 0., 0.880797}, {0., 0., 0.}}








                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 3 hours ago









                Alexey GolyshevAlexey Golyshev

                4,9421739




                4,9421739






























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