How do I implement masked Softmax?

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9












$begingroup$


Consider:



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











$endgroup$
















    9












    $begingroup$


    Consider:



    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











    $endgroup$














      9












      9








      9


      1



      $begingroup$


      Consider:



      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











      $endgroup$




      Consider:



      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






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      edited Mar 9 at 14:50









      Peter Mortensen

      33627




      33627










      asked Mar 9 at 10:05









      Alexey GolyshevAlexey Golyshev

      5,1171739




      5,1171739




















          1 Answer
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          9












          $begingroup$

          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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            9












            $begingroup$

            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









            $endgroup$

















              9












              $begingroup$

              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









              $endgroup$















                9












                9








                9





                $begingroup$

                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












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                share|improve this answer










                answered Mar 9 at 10:05









                Alexey GolyshevAlexey Golyshev

                5,1171739




                5,1171739



























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