scholarly journals Least-squares ray mapping method for freeform illumination optics design: erratum

2021 ◽  
Author(s):  
Donglin Ma ◽  
ShiLi Wei ◽  
Zhu Zhengbo ◽  
Zichao Fan
Keyword(s):  
Least Squares ◽  
Mapping Method ◽  
Optics Design

scholarly journals Least-squares ray mapping method for freeform illumination optics design

2020 ◽  
Vol 28 (3) ◽  
pp. 3811 ◽  
Author(s):  
ShiLi Wei ◽  
ZhengBo Zhu ◽  
ZiChao Fan ◽  
DingLin Ma
Keyword(s):  
Least Squares ◽  
Mapping Method ◽  
Optics Design

Detection of QTL×environment interaction in maize by a least squares interval mapping method

Heredity ◽  
1997 ◽  
Vol 78 (2) ◽  
pp. 146-157 ◽  
Author(s):  
MIRELLA SARI-GORLA ◽  
TADEUSZ CALINSKI ◽  
ZYGMUNT KACZMAREK ◽  
PAWEL KRAJEWSKI
Keyword(s):  
Least Squares ◽  
Interval Mapping ◽  
Mapping Method ◽  
Environment Interaction

scholarly journals A duct mapping method using least squares support vector machines

Radio Science ◽  
2008 ◽  
Vol 43 (6) ◽  
pp. n/a-n/a ◽  
Author(s):  
Rémi Douvenot ◽  
Vincent Fabbro ◽  
Peter Gerstoft ◽  
Christophe Bourlier ◽  
Joseph Saillard
Keyword(s):  
Support Vector Machines ◽  
Least Squares ◽  
Mapping Method ◽  
Support Vector ◽  
Vector Machines

scholarly journals Detection of QTL × environment interaction in maize by a least squares interval mapping method

Heredity ◽  
1997 ◽  
Vol 78 (2) ◽  
pp. 146-157 ◽  
Author(s):  
Mirella Sari-Gorla ◽  
Tadeusz Calinski ◽  
Zygmunt Kaczmarek ◽  
Pawel Krajewski
Keyword(s):  
Least Squares ◽  
Interval Mapping ◽  
Mapping Method ◽  
Environment Interaction

scholarly journals Comparison of methods for regression interval mapping in QTL analysis with non-normal traits

1997 ◽  
Vol 69 (1) ◽  
pp. 69-74 ◽  
Author(s):  
AHMED REBAÏ
Keyword(s):  
Logistic Regression ◽  
Least Squares ◽  
Qtl Analysis ◽  
Estimation Procedure ◽  
Interval Mapping ◽  
Mapping Method ◽  
Comparison Of Methods ◽  
Trait Distribution ◽  
Departure From Normality ◽  
Normally Distributed

We compare the powers of three methods for the QTL analysis of non-normally distributed traits. We describe the nonparametric and the logistic regression approaches recently proposed in the literature and study the properties of the standard regression interval mapping method when the trait is not normally distributed. It is shown that the standard approach is robust against non-normality and behaves quite well for both continuous and discrete characters. The loss of power compared with the nonparametric or the logistic approach is generally minor. Moreover, the least squares estimation procedure of the regression interval mapping is not affected by departure from normality. The use of other approaches could be restricted to extreme cases where the trait distribution is very skewed.

scholarly journals Multitrait Least Squares for Quantitative Trait Loci Detection

Genetics ◽  
2000 ◽  
Vol 156 (2) ◽  
pp. 899-911 ◽  
Author(s):  
Sara A Knott ◽  
Chris S Haley
Keyword(s):  
Quantitative Trait Loci ◽  
Qtl Mapping ◽  
Least Squares ◽  
Quantitative Trait ◽  
Testing Procedure ◽  
Mapping Method ◽  
Multiple Trait ◽  
Formal Testing ◽  
Pleiotropic Qtl ◽  
Location Estimate

Abstract A multiple-trait QTL mapping method using least squares is described. It is presented as an extension of a single-trait method for use with three-generation, outbred pedigrees. The multiple-trait framework allows formal testing of whether the same QTL affects more than one trait (i.e., a pleiotropic QTL) or whether more than one linked QTL are segregating. Several approaches to the testing procedure are presented and their suitability discussed. The performance of the method is investigated by simulation. As previously found, multitrait analyses increase the power to detect a pleiotropic QTL and the precision of its location estimate. With enough information, discrimination between alternative genetic models is possible.

Detection, Averaging, and 3D Reconstruction of Biological Specimens on Hypercubes (Transputer-based) Computers

1990 ◽  
Vol 48 (1) ◽  
pp. 454-455
Author(s):  
Jose-Maria Carazo ◽  
I. Benavides ◽  
S. Marco ◽  
J.L. Carrascosa ◽  
E.L. Zapata
Keyword(s):  
3D Reconstruction ◽  
3D Structure ◽  
Three Dimensional ◽  
Software Tools ◽  
Mapping Method ◽  
Computer Architectures ◽  
Parallel Computer ◽  
Reconstruction Process ◽  
Computing Power ◽  
Order Of Magnitude

Obtaining the three-dimensional (3D) structure of negatively stained biological specimens at a resolution of, typically, 2 - 4 nm is becoming a relatively common practice in an increasing number of laboratories. A combination of new conceptual approaches, new software tools, and faster computers have made this situation possible. However, all these 3D reconstruction processes are quite computer intensive, and the middle term future is full of suggestions entailing an even greater need of computing power. Up to now all published 3D reconstructions in this field have been performed on conventional (sequential) computers, but it is a fact that new parallel computer architectures represent the potential of order-of-magnitude increases in computing power and should, therefore, be considered for their possible application in the most computing intensive tasks.We have studied both shared-memory-based computer architectures, like the BBN Butterfly, and local-memory-based architectures, mainly hypercubes implemented on transputers, where we have used the algorithmic mapping method proposed by Zapata el at. In this work we have developed the basic software tools needed to obtain a 3D reconstruction from non-crystalline specimens (“single particles”) using the so-called Random Conical Tilt Series Method. We start from a pair of images presenting the same field, first tilted (by ≃55°) and then untilted. It is then assumed that we can supply the system with the image of the particle we are looking for (ideally, a 2D average from a previous study) and with a matrix describing the geometrical relationships between the tilted and untilted fields (this step is now accomplished by interactively marking a few pairs of corresponding features in the two fields). From here on the 3D reconstruction process may be run automatically.

A Note on Rao's Unified Theory of Least Squares

1974 ◽  
Vol 3 (9) ◽  
pp. 909-912
Author(s):  
C. W. Chen
Keyword(s):  
Least Squares ◽  
Unified Theory
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