Notion - (Best approximation|Closest|Closeness)

Card Puncher Data Processing


This notion of “best approximates” comes up again and again:

  • in least-squares, a fundamental data analysis technique,
  • image compression,
  • in principal component analysis, another data analysis technique, and
  • in latent semantic analysis, an information retrieval technique.

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Thomas Bayes
Data Mining - Multi-class (classification|problem)

Multiclass classification is used to predict: one of three or more possible outcomes and the likelihood of each one. Generally, there is no notion of closeness because the target class is nominal....
Undraw File Manager Re Ms29
File - File System (filesystem)

A file system (often also written as filesystem) is an application that store and organize files and their data (content). Essentially, it organizes these files for the storage, organization, manipulation,...
Closest Point X Axis
Linear Algebra - Closest Point on a Line

How to find the closest point on a line from a point ? How to find the vector on the line that best approximates the given vector b (the closest point on the line) Letb be a vector Leta be a...
Closest Point Plane
Linear Algebra - Closest point in a plane

Given a point b and a plane, find the point in the plane closest to b. By , we can assume the plane includes the origin. The plane is a vector space V. Let {v1, v2} be a basis for V. Goal: Given...
Card Puncher Data Processing
Linear Algebra - Closest point in higher dimension than a plane

Solving closest point in the span of many vectors Goal: An algorithm that, given a vector b and vectors v1, . . . , vn, finds the vector in Span {v1, . . . , vn} that is closest to b. Special case:...
Anscombe Regression
Statistics - Regression

Regression is a statistical analysis used: to predict scores on an numeric outcome variable, based on scores of: one predictor variable: simple regression or multiple predictor variables: multiple...

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