Curse of dimensionality, Advanced Statistics

Assignment Help:

The phrase first spoken by one of the witches in Macbeth. Now this is used to describe the exponential rise in the number of possible locations in the multivariate space as dimensionality increases. Thus the single binary variable has the two probable values, a 10-dimensional binary vector has over the thousand possible values and a 20-dimensional binary vector over the million possible values. This implies that sample sizes should be increase exponentially with the dimension in order to maintain the constant average sample size in the cells of space. Another consequence is that, for the multivariate normal distribution, the vast mass of the probability lies far from the centre of it if the dimensionality is large.


Related Discussions:- Curse of dimensionality

Inliers, Inliers is the term used for the observations most likely to be s...

Inliers is the term used for the observations most likely to be subject to error in situations where the dichotomy is developed by making a ‘cut’ on an ordered scale, and where th

Follow back surveys, Surveys which use lists related with the vital statist...

Surveys which use lists related with the vital statistics to sample individuals for the further information. For instance, the 1988 National Mortality Follow back Survey sampled de

Business Statistic HW., Hello , I have a business statistic HW that is due ...

Hello , I have a business statistic HW that is due after 23 hours exactly for now . I need full and details answers please , plus they must be in a done and typed in a word or exce

Compute the portfolio expected return, (a) You are trying to develop a stra...

(a) You are trying to develop a strategy for investing in two different stocks, Stock A and Stock B. The anticipated annual return for a $1000 investment in each stock under four

Continuous variable, Continuous variable : The measurement which is not res...

Continuous variable : The measurement which is not restricted to the particular values except in so far as this is constrained by the accuracy of measuring instrument. General exam

Explain kleiner hartigan trees, Kleiner Hartigan trees is a technique for ...

Kleiner Hartigan trees is a technique for displaying the multivariate data graphically as the 'trees' in which the values of the variables are coded into length of the terminal br

Week 5 Assignment 1, Activity Description Create an MS Word document by c...

Activity Description Create an MS Word document by cutting and pasting SPSS output into the document. Complete the following: Use an existing dataset to compute a factorial AN

Explain influence statistics, Influence statistics: The range of statistic...

Influence statistics: The range of statistics designed to assess the effect or the in?uence of an observation in determining results of the regression analysis. The general approa

Protopathic bias, Protopathic bias is the type of bias (also called as rev...

Protopathic bias is the type of bias (also called as reverse-causality) that is a consequence of differential misclassification of the exposure related to timing of occurrence. It

Game theory, This is the branch of mathematics which deals with the theory ...

This is the branch of mathematics which deals with the theory of contests between two or more players under the specified sets of rules. The subject supposes a statistical aspect w

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd