题目
2025SpringDYN-T-CIS515-13824-23302-14444 Quiz 1 Version A
多项选择题
What is the nature of this cost function? Check all that apply.
选项
A.Linear along w1
B.Not convex along w2
C.Linear along w2
D.Convex along w2
E.Convex along w1
F.Not convex along w1
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标准答案
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思路分析
To understand the nature of the cost function shown, consider how it behaves along each axis while holding the other variable constant.
Option: Linear along w1
- This would mean the function changes linearly as w1 varies with w2 fixed. However the surface clearly curves u......Login to view full explanation登录即可查看完整答案
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类似问题
Suppose 𝑔 ( 𝑤 | 𝑦 𝑖 , 𝑥 𝑖 ) = ( 𝑦 𝑖 − 𝑥 𝑖 𝑇 𝑤 ) 2 , where 𝑤 ∈ 𝑅 𝑝 , 𝑦 𝑖 ∈ 𝑅 , and 𝑥 𝑖 ∈ 𝑅 𝑝 , for 𝑖 = 1 … 𝑛 . Is ∑ 𝑖 = 1 𝑛 𝑔 ( 𝑤 | 𝑦 𝑖 , 𝑥 𝑖 ) convex?
𝑔 ( 𝑤 ) = − 𝑐 𝑜 𝑠 ( 2 𝜋 𝑤 𝑇 𝑤 ) + 𝑤 𝑇 𝑤 , where 𝑤 ∈ 𝑅 𝑁 . Is 𝑔 ( 𝑤 ) convex?
Following Question 2, can we determine whether the function is convex, concave, or neither?
Given C below, what is the correspoding shape of g(w)?
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