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MMLU-Pro / 10669 / Statement 1| The ReLU's gradient is zero for x<0, and the sigmoid gradient…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Statement 1| The ReLU's gradient is zero for x<0x<0, and the sigmoid gradient σ(x)(1−σ(x))≤14\sigma(x)(1-\sigma(x))\le \frac{1}{4} for all xx. Statement 2| The sigmoid has a continuous gradient and the ReLU has a discontinuous gradient.
Plain-text mathematical notation (without MathML)
Statement 1| The ReLU's gradient is zero for x<0, and the sigmoid gradient σ(x)(1−σ(x))≤(1)/(4) for all x. Statement 2| The sigmoid has a continuous gradient and the ReLU has a discontinuous gradient.
Original LaTeX notation
Statement 1| The ReLU's gradient is zero for $x<0$, and the sigmoid gradient $\sigma(x)(1-\sigma(x))\le \frac{1}{4}$ for all $x$. Statement 2| The sigmoid has a continuous gradient and the ReLU has a discontinuous gradient.

category

computer science

options

  1. Statement 1 is true for x < 0, statement 2 is false for x ≠ 0
  2. True, True
  3. True, False
  4. Statement 1 is only true for x > 0, statement 2 is always false
  5. False for statement 1, statement 2 is true if x ≠ 0
  6. Statement 1 is only false for x > 0, statement 2 is always true
  7. False for statement 1, statement 2 is true if x = 0
  8. False, True
  9. False, False
  10. True for statement 1, statement 2 depends on the function

src

ori_mmlu-machine_learning

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Source and history

upstream_id / Original problem ID
10669
task_id
352a386d-040b-5c62-8994-69b6a3ec1d85
task_key
default--test--10669
task_revision_id
1
config / split
default / test

Official source

initial import