Alopex GudangMovies21 Rebahinxxi LK21

      Alopex may refer to:

      Alopex lagopus, a taxonomic synonym for the Arctic fox, Vulpes lagopus
      ALOPEX a correlation-based machine learning algorithm
      Alopex (Teenage Mutant Ninja Turtles), a character in the Teenage Mutant Ninja Turtles franchise
      Alopex (Ancient Greek: ἀλώπηξ) ancient Greek for fox

      ALOPEX GudangMovies21 Rebahinxxi LK21

      ALOPEX (an abbreviation of "algorithms of pattern extraction") is a correlation based machine learning algorithm first proposed by Tzanakou and Harth in 1974.


      Principle


      In machine learning, the goal is to train a system to minimize a cost function or (referring to ALOPEX) a response function. Many training algorithms, such as backpropagation, have an inherent susceptibility to getting "stuck" in local minima or maxima of the response function. ALOPEX uses a cross-correlation of differences and a stochastic process to overcome this in an attempt to reach the absolute minimum (or maximum) of the response function.


      Method


      ALOPEX, in its simplest form is defined by an updating equation:




      Δ


      W

      i
      j


      (
      n
      )
      =
      γ

      Δ


      W

      i
      j


      (
      n

      1
      )
      Δ

      R
      (
      n
      )
      +

      r

      i


      (
      n
      )


      {\displaystyle \Delta \ W_{ij}(n)=\gamma \ \Delta \ W_{ij}(n-1)\Delta \ R(n)+r_{i}(n)}


      where:




      n

      0


      {\displaystyle n\geq 0}

      is the iteration or time-step.




      Δ


      W

      i
      j


      (
      n
      )


      {\displaystyle \Delta \ W_{ij}(n)}

      is the difference between the current and previous value of system variable





      W

      i
      j




      {\displaystyle \ W_{ij}}

      at iteration



      n


      {\displaystyle n}

      .




      Δ

      R
      (
      n
      )


      {\displaystyle \Delta \ R(n)}

      is the difference between the current and previous value of the response function




      R
      ,


      {\displaystyle \ R,}

      at iteration



      n


      {\displaystyle n}

      .




      γ


      {\displaystyle \gamma }

      is the learning rate parameter



      (
      γ

      <
      0


      {\displaystyle (\gamma \ <0}

      minimizes



      R
      ,


      {\displaystyle R,}

      and



      γ

      >
      0


      {\displaystyle \gamma \ >0}

      maximizes



      R

      )


      {\displaystyle R\ )}






      r

      i


      (
      n
      )


      N
      (
      0
      ,
      σ



      2


      )


      {\displaystyle r_{i}(n)\sim \ N(0,\sigma \ ^{2})}



      Discussion


      Essentially, ALOPEX changes each system variable




      W

      i
      j


      (
      n
      )


      {\displaystyle W_{ij}(n)}

      based on a product of: the previous change in the variable



      Δ


      {\displaystyle \Delta }






      W

      i
      j


      (
      n

      1
      )


      {\displaystyle W_{ij}(n-1)}

      , the resulting change in the cost function



      Δ


      {\displaystyle \Delta }





      R
      (
      n
      )


      {\displaystyle R(n)}

      , and the learning rate parameter



      γ


      {\displaystyle \gamma }

      . Further, to find the absolute minimum (or maximum), the stochastic process




      r

      i
      j


      (
      n
      )


      {\displaystyle r_{ij}(n)}

      (Gaussian or other) is added to stochastically "push" the algorithm out of any local minima.


      References


      Harth, E., & Tzanakou, E. (1974) Alopex: A stochastic method for determining visual receptive fields. Vision Research, 14:1475-1482. Abstract from ScienceDirect

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    Home | Alopex Management Consulting Inc.

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    Alopex – TB Supply Inc.

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    Alopex by ReDaDillio on DeviantArt

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    Alopex | Superhero Wiki | Fandom

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    Alopex by RuslanaN on DeviantArt

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    Alopex screenshots, images and pictures - Comic Vine

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    Alopex by Kabolki on DeviantArt

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    Alopex (Character) - Comic Vine

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    Alopex (2) - Tumblr Gallery

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    Alopex is the first new Teenage Mutant Ninja Turtles character designed by Kevin Eastman in over 15 years. Alopex was born an ordinary arctic fox outside of Fairbanks, Alaska. She proved herself deadly from an early age, serving as her pack's main hunter.

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    Alopex is a mutant arctic vixen appearing in the IDW Teenage Mutant Ninja Turtles comic series. She served as a member of the Foot Clan under the orders of The Shredder, until she came to realize the evil the Shredder truly embodied.

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    Jan 11, 2023 · In her early life, Alopex was a swift and fierce arctic fox who feared only the roving polar bear who terrorized her homeland. It was the arrival of humans that proved to be the end of her reign over the forest, as the scientists who came found her to …

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