Negative Log Likelyhood, what base?

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When calculating the negative log likelihood loss, what base of log are we supposed to use?






machine-learning loss-function







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    up vote
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    When calculating the negative log likelihood loss, what base of log are we supposed to use?






    machine-learning loss-function







    share|improve this question







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    Brandon Lavigne is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      When calculating the negative log likelihood loss, what base of log are we supposed to use?






      machine-learning loss-function







      share|improve this question







      New contributor




      Brandon Lavigne is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      When calculating the negative log likelihood loss, what base of log are we supposed to use?






      machine-learning loss-function




      machine-learning loss-function






      share|improve this question







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      Brandon Lavigne is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      share|improve this question







      New contributor




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      Brandon Lavigne

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          2 Answers
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          Typically it is implemented as the natural logarithm, base e. Other bases can be used for the same effect though.






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          • 1




            (+1) for "Typically it is implemented as the natural logarithm, base e. Other bases can be used". However "for the same effect" may be slightly misleading -- there's a reason the natural logarithm is usually used: For many distributions, it makes the math convenient. Using some other base, while convenient in some cases, would not be as convenient as often as the natural logarithm.
            – duckmayr
            7 mins ago

















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          The change in base is equivalent to multiplying the function by a constant. It does not affect the computation.



          $
          log_b(x) = dfrac1log_e(b).log_e(x)
          $






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            2 Answers
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            2 Answers
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            up vote
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            Typically it is implemented as the natural logarithm, base e. Other bases can be used for the same effect though.






            share|improve this answer
















            • 1




              (+1) for "Typically it is implemented as the natural logarithm, base e. Other bases can be used". However "for the same effect" may be slightly misleading -- there's a reason the natural logarithm is usually used: For many distributions, it makes the math convenient. Using some other base, while convenient in some cases, would not be as convenient as often as the natural logarithm.
              – duckmayr
              7 mins ago














            up vote
            3
            down vote













            Typically it is implemented as the natural logarithm, base e. Other bases can be used for the same effect though.






            share|improve this answer
















            • 1




              (+1) for "Typically it is implemented as the natural logarithm, base e. Other bases can be used". However "for the same effect" may be slightly misleading -- there's a reason the natural logarithm is usually used: For many distributions, it makes the math convenient. Using some other base, while convenient in some cases, would not be as convenient as often as the natural logarithm.
              – duckmayr
              7 mins ago












            up vote
            3
            down vote










            up vote
            3
            down vote









            Typically it is implemented as the natural logarithm, base e. Other bases can be used for the same effect though.






            share|improve this answer












            Typically it is implemented as the natural logarithm, base e. Other bases can be used for the same effect though.







            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 3 hours ago









            JahKnows

            4,211423




            4,211423







            • 1




              (+1) for "Typically it is implemented as the natural logarithm, base e. Other bases can be used". However "for the same effect" may be slightly misleading -- there's a reason the natural logarithm is usually used: For many distributions, it makes the math convenient. Using some other base, while convenient in some cases, would not be as convenient as often as the natural logarithm.
              – duckmayr
              7 mins ago












            • 1




              (+1) for "Typically it is implemented as the natural logarithm, base e. Other bases can be used". However "for the same effect" may be slightly misleading -- there's a reason the natural logarithm is usually used: For many distributions, it makes the math convenient. Using some other base, while convenient in some cases, would not be as convenient as often as the natural logarithm.
              – duckmayr
              7 mins ago







            1




            1




            (+1) for "Typically it is implemented as the natural logarithm, base e. Other bases can be used". However "for the same effect" may be slightly misleading -- there's a reason the natural logarithm is usually used: For many distributions, it makes the math convenient. Using some other base, while convenient in some cases, would not be as convenient as often as the natural logarithm.
            – duckmayr
            7 mins ago




            (+1) for "Typically it is implemented as the natural logarithm, base e. Other bases can be used". However "for the same effect" may be slightly misleading -- there's a reason the natural logarithm is usually used: For many distributions, it makes the math convenient. Using some other base, while convenient in some cases, would not be as convenient as often as the natural logarithm.
            – duckmayr
            7 mins ago










            up vote
            2
            down vote













            The change in base is equivalent to multiplying the function by a constant. It does not affect the computation.



            $
            log_b(x) = dfrac1log_e(b).log_e(x)
            $






            share|improve this answer
























              up vote
              2
              down vote













              The change in base is equivalent to multiplying the function by a constant. It does not affect the computation.



              $
              log_b(x) = dfrac1log_e(b).log_e(x)
              $






              share|improve this answer






















                up vote
                2
                down vote










                up vote
                2
                down vote









                The change in base is equivalent to multiplying the function by a constant. It does not affect the computation.



                $
                log_b(x) = dfrac1log_e(b).log_e(x)
                $






                share|improve this answer












                The change in base is equivalent to multiplying the function by a constant. It does not affect the computation.



                $
                log_b(x) = dfrac1log_e(b).log_e(x)
                $







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 2 hours ago









                Anshul G.

                1967




                1967




















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