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

Define interval-censored observations, Interval-censored observations ar...

Interval-censored observations are the  observations which often occur in the context of studies of time elapsed to the particular event when subjects are not monitored regularl

Confidence interval estimation, An auditor for a government agency needs to...

An auditor for a government agency needs to evaluate payments for doctors' office visits paid by Medicare in a small regional town during the month of June. A total of 25,056 visit

Mean, You have learned that there are 3 major central measures of any data ...

You have learned that there are 3 major central measures of any data set. Namely: mean, median, and mode. Which of the three, do the outliers affect the most?

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

Reliability theory, Reliability theory is the theory which attempts to det...

Reliability theory is the theory which attempts to determine the reliability of the complex system from knowledge of the reliabilities of the components. Interest might centre on

Window variables, Window variables are the variables measured during the c...

Window variables are the variables measured during the constrained interval of an observation period which is accepted as the proxies for the information over the whole period. Fo

Method of moments, Method of moments   is the procedure for estimating the...

Method of moments   is the procedure for estimating the parameters in a model by equating sample moments to the population values. A famous early instance of the use of the proced

Conjugate prior, Conjugate prior : The distribution for samples from the pa...

Conjugate prior : The distribution for samples from the particular probability distribution such that the posterior distribution at each stage of the sampling is of the identical f

Ecme algorithm, The Expectation/Conditional Maximization Either algorithm w...

The Expectation/Conditional Maximization Either algorithm which is the generalization of ECM algorithm attained by replacing some of the CM-steps of ECM which maximize the constrai

Gaussian markov random field, It is the multivariate normal random vector w...

It is the multivariate normal random vector which satisfies certain conditional independence suppositions. This can be viewed as a model framework which contains a wide range of st

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