A scalable randomized least squares solver for dense overdetermined systems

2015 ◽  
Author(s):  
Chander Iyer ◽  
Haim Avron ◽  
Georgios Kollias ◽  
Yves Ineichen ◽  
Christopher Carothers ◽  
...  
Keyword(s):  
Least Squares ◽  
Overdetermined Systems

A randomized least squares solver for terabyte-sized dense overdetermined systems

2019 ◽  
Vol 36 ◽  
pp. 100547 ◽  
Author(s):  
Chander Iyer ◽  
Haim Avron ◽  
Georgios Kollias ◽  
Yves Ineichen ◽  
Christopher Carothers ◽  
...  
Keyword(s):  
Least Squares ◽  
Overdetermined Systems

Heteroscedastic Methods for Performing All Pairwise Comparisons of Regression Lines Associated With J Independent Groups

Methodology ◽  
2015 ◽  
Vol 11 (3) ◽  
pp. 110-115 ◽  
Author(s):  
Rand R. Wilcox ◽  
Jinxia Ma
Keyword(s):  
Least Squares ◽  
Pairwise Comparisons ◽  
Simple Extension ◽  
Type I ◽  
Type I Errors ◽  
Well Elderly ◽  
Using Data

Abstract. The paper compares methods that allow both within group and between group heteroscedasticity when performing all pairwise comparisons of the least squares lines associated with J independent groups. The methods are based on simple extension of results derived by Johansen (1980) and Welch (1938) in conjunction with the HC3 and HC4 estimators. The probability of one or more Type I errors is controlled using the improvement on the Bonferroni method derived by Hochberg (1988) . Results are illustrated using data from the Well Elderly 2 study, which motivated this paper.

An fMRI study examining spatial navigation through a virtual environment: Partial least squares analysis

2005 ◽  
Author(s):  
Richard Mraz ◽  
Nancy J. Lobaugh ◽  
Genevieve Quintin ◽  
Konstantine K. Kakzanis ◽  
Simon J. Graham
Keyword(s):  
Least Squares ◽  
Virtual Environment ◽  
Partial Least Squares ◽  
Spatial Navigation ◽  
Partial Least Squares Analysis ◽  
Fmri Study

‘Least squares’ method—theorem or law?

1980 ◽  
Vol 59 (9) ◽  
pp. 8
Author(s):  
D.E. Turnbull
Keyword(s):  
Least Squares ◽  
Least Squares Method
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