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An Introduction to Total Least Squares
The method of ``Total Least Squares'' is proposed as a more natural way (than ordinary least squares) to approximate the data if both the matrix and and the right-hand side are contaminated by ``errors''. In this tutorial note, we give a elementary unified view of ordinary and total least squares problems and their solution.
openaire +4 more sources
In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
wiley +1 more source
Total Least Squares and Chebyshev Norm
AbstractWe investigate the total least square problem (TLS) with Chebyshev norm instead of the traditionally used Frobenius norm. The use of Chebyshev norm is motivated by the need for robust solutions. In order to solve the problem, we introduce interval computation and use many of the results obtained there.
Milan Hladík, Michal Cerný
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CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3
PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh +12 more
wiley +1 more source
Use of Total Least Squares Adjustment in Geodetic Applications
This article discusses the method of computing the values of the unknowns under the condition of the minimum sum of the squares of the residuals of the observations, also known as the least squares method, with the additional condition of taking into ...
Aleš Marjetič +2 more
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On weighted total least squares adjustment for solving the nonlinear problems
In the classical geodetic data processing, a non- linear problem always can be converted to a linear least squares adjustment. However, the errors in Jacob matrix are often not being considered when using the least square method to estimate the optimal ...
Hu C., Chen Y., Peng Y.
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Circulating tumor cells (CTCs) and plasma cell‐free DNA (cfDNA) were analyzed to detect ESR1 mutations and methylation in patients with advanced breast cancer. CTC‐derived DNA showed higher sensitivity for mutation detection and revealed complementary genetic and epigenetic alterations, highlighting the added value of CTC analysis for understanding ...
Dimitra Stergiopoulou +12 more
wiley +1 more source
Global sea-surface temperatures (SST) from MODIS measured brightness temperatures generated using the regression methods, have been available to users for more than a decade, and are used extensively for a wide range of atmospheric and oceanic studies ...
Prabhat K. Koner, Andy Harris
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Consistent estimation in an implicit quadratic measurement error model
An adjusted least squares estimator is derived that yields a consistent estimate of the parameters of an implicit quadratic measurement error model. In addition, a consistent estimator for the measurement error noise variance is proposed.
Er Kukush +5 more
core +1 more source
Completions of ε-Dense Partial Latin Squares [PDF]
A classical question in combinatorics is the following: given a partial Latin square $P$, when can we complete $P$ to a Latin square $L$? In this paper, we investigate the class of textbf{$epsilon$-dense partial Latin squares}: partial Latin squares in
Bartlett, Padraic James +2 more
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