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[shannon-entropy] Improve illustration of concavity #16

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dbosk opened this issue Feb 2, 2020 · 0 comments
Open
2 tasks

[shannon-entropy] Improve illustration of concavity #16

dbosk opened this issue Feb 2, 2020 · 0 comments

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@dbosk
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dbosk commented Feb 2, 2020

  • When introducing the definition of concavity, show the graph of a concave function first. Then the students might better understand the definition.
  • Explain the weight 0 <= t <= 1 (and 1-t): fix x and y, thus also f(x) and f(y). Now t is the variable. t f(x) + (1-t) f(y) forms the line under the graph. f(tx + (1-t)y) will follow the graph of f and will always stay above. Hence t f(x) + (1-t) f(y) <= f(tx + (1-t)y).
@dbosk dbosk changed the title Improve illustration of concavity [shannon-entropy] Improve illustration of concavity Feb 2, 2020
@dbosk dbosk added this to the v2021 milestone Feb 3, 2020
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