Free papers

High Dimensional Regression on Serum Analytes


Abstract


Regression of high dimensional data is particularly difficult when the number of observations is limited. Principal Component Analysis, canonical correlation analysis and factor analysis are commonly used methods to reduce data dimensions, but usually cannot find the most significant linear combination. The goal is usually to find a particular partition of the space X consisting of all independent factors. In this paper, we propose an approach to high dimensional regression for applications where N>K or N<K, where N is the sample size, k is the dimension of space X. The approach starts by finding the most significant linear combination and one of the most insignificant directions to decompose the sample space into two subspaces and reduce the dimension. Further, we examine the contributions of individual variables to those most significant vectors by the coefficients of the combinations to reduce the total number of variables in the selected space without losing the power of the prediction. We use the proposed approach to determine the potential association of 51 serum analytes with schizophrenia using data derived from a case control study (n=208). Numerical results demonstrate that the proposed approach can significantly improve dimension reduction.

Keywords


Gradient; High dimensional regression; Schizophrenia

Full Text:

PDF


NBN: http://nbn.depositolegale.it/urn%3Anbn%3Ait%3Aprex-9287

DOI: https://doi.org/10.2427/8672

References



Refbacks

  • There are currently no refbacks.
We use cookies to ensure that we give you the best experience on our website. If you continue to use this site we will assume that you are happy with it (Read more).
Ok
Купить аттестат 11 классов купить диплом о среднем образовании Купить диплом Новосибирск Купить диплом Воронеж Купить диплом фельдшера Купить диплом фельдшера https://diploman-doci.com/diplom-stroitelya lands-diplomy.com купить диплом строителя купить диплом техникума http://https://ru-diplomirovans.com/диплом-кандидата-наук http://https://ru-diplomirovana.com/купить-диплом-москва ru-diplomirovany.com ru-diplomirovanay.com ru-diplomirovannie.com http://https://gosznac-diplomy.com/kupit-diplom-v-krasnodare Купить диплом Краснодар Купить диплом в СПБ Купить диплом Томск Купить диплом Казань Купить диплом в Новосибирске Купить свидетельство о разводе www.gosznac-diplom.com www.gosznac-diplom24.com www.gosznac-diploms.com Купить диплом Новосибирск Купить диплом с реестром Купить диплом СССР