Some of the formulae that we have come across in Chapters 6 & 7 are listed below. Match each of these to the name they are most commonly known by, assuming two instances a and b and an m-dimensional feature space.

Question

BlackTom AI · Accepted Answer

The question asks us to identify which name corresponds to the general formula that takes two instances a and b in an m-dimensional feature space, and is commonly known by a specific term.
Option 1: Euclidean Distance(a,b) is the standard L2 distance, computed as the square root of the sum of squared coordinate differences. While closely related to the Minkowski distance (as a special case when p = 2), it is not the most general name for the whole family of Lp norms.
Option 2: Manhattan Distance(a,b) refers to the L1 distance, which sums the absolute differences across coordinates. This is also a specific instance within the Minkowski family, not the general name.
Option 3: Minkowski Distance(a,b) is the broad, canonical name for the family of distances defined by the p-norm: (sum_i |a_i - b_i|^p)^(1/p) for p >= 1. This general form encompasses both Euclidean (p=2) and Manhattan (p=1) as special cases, making it the correct umbrella term.
In summary, the general concept that covers all p-norm-based distances between two m-dimensional vectors is Minkowski Distance(a,b); Euclidean and Manhattan are particular instances within this family, not the overarching name.

Some of the formulae that we have come across in Chapters 6 & 7 are listed below. Match each of these to the name they are most commonly known by, assuming two instances a and b and an m-dimensional feature space.

查看解析

登录即可查看完整答案

类似问题

Which of the following distance metrics is particularly effective for high-dimensional data but less interpretable compared to other metrics?

When the number of features is large, kNN should use _______.

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

Under the assumptions used in cost-volume-profit analysis, as the activity increases:

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单