penalized least squares
Recently Published Documents


TOTAL DOCUMENTS

115
(FIVE YEARS 28)

H-INDEX

16
(FIVE YEARS 2)

2021 ◽  
Author(s):  
Lisa Ernst ◽  
Stefan Bruch ◽  
Marcin Kopaczka ◽  
Dorit Merhof ◽  
André Bleich ◽  
...  

Abstract Despite its long establishment and its applicability in pain detection in mice, the Mouse Grimace Scale still seems to be underused in terms of acute pain detection during chronic experiments. However, a broadening of its applicability can identify possible refinement approaches such as cumulative severity and habituation to painful stimuli. Therefore, this study focuses on two main aspects: First, five composite MGS criteria were evaluated with two independent methods (the MoBPs algorithm and a penalized least squares regression) and ranked for their relative importance. The most important variable was used in a second analysis to specifically evaluate the context of pain after an i.p. injection (intervention) in two treatment groups (CCl4 and oil (control)) at fixed times throughout four weeks in 24 male C57BL/6N mice. One hour before and after each intervention, video recordings were taken and the MGS assessment was performed. In this study, the results indicate orbital tightening as the most important criterion. In this experimental setup, a highly significant difference after treatment between week 0 and 1 was found in the CCl4 group, resulting in a medium-sized effect (W = 62.5, p-value <0.0001, rCCl4= 0.64). The oil group showed no significant difference (week 0 vs 1, W = 291.5, p-value = 0.7875, rcontrol= 0.04). Therefore, the study showed that the pain caused by i.p. injections was only dependent on the applied substance and no significant cumulation or habituation occurred due to the intervention. Further, the results indicated that the MGS system can be simplified.


Author(s):  
Anatoly A. Saveliev ◽  
Ekaterina V. Galeeva ◽  
Dmitry A. Semanov ◽  
Roman R. Galeev ◽  
Ilshat R. Aryslanov ◽  
...  

2021 ◽  
Author(s):  
Simone Puel ◽  
Eldar Khattatov ◽  
Umberto Villa ◽  
Dunyu Liu ◽  
Omar Ghattas ◽  
...  

We introduce a new finite-element (FE) based computational framework to solve forward and inverse elastic deformation problems for earthquake faulting via the adjoint method. Based on two advanced computational libraries, FEniCS and hIPPYlib for the forward and inverse problems, respectively, this framework is flexible, transparent, and easily extensible. We represent a fault discontinuity through a mixed FE elasticity formulation, which approximates the stress with higher order accuracy and exposes the prescribed slip explicitly in the variational form without using conventional split node and decomposition discrete approaches. This also allows the first order optimality condition, i.e., the vanishing of the gradient, to be expressed in continuous form, which leads to consistent discretizations of all field variables, including the slip. We show comparisons with the standard, pure displacement formulation and a model containing an in-plane mode II crack, whose slip is prescribed via the split node technique. We demonstrate the potential of this new computational framework by performing a linear coseismic slip inversion through adjoint-based optimization methods, without requiring computation of elastic Green's functions. Specifically, we consider a penalized least squares formulation, which in a Bayesian setting - under the assumption of Gaussian noise and prior - reflects the negative log of the posterior distribution. The comparison of the inversion results with a standard, linear inverse theory approach based on Okada's solutions shows analogous results. Preliminary uncertainties are estimated via eigenvalue analysis of the Hessian of the penalized least squares objective function. Our implementation is fully open-source and Jupyter notebooks to reproduce our results are provided. The extension to a fully Bayesian framework for detailed uncertainty quantification and non-linear inversions, including for heterogeneous media earthquake problems, will be analyzed in a forthcoming paper.


2021 ◽  
Author(s):  
Qingxian Zhang ◽  
Hui Li ◽  
Hongfei Xiao ◽  
Jian Zhang ◽  
Xiaozhe Li ◽  
...  

Baseline correction is an important step in energy-dispersive X-ray fluorescence analysis. The asymmetric least squares method (AsLS), adaptive iteratively reweighted penalized least squares method (airPLS), and asymmetrically reweighted penalized least...


2020 ◽  
Vol 500 (3) ◽  
pp. 2969-2978
Author(s):  
Qingguo Zeng ◽  
Xue Chen ◽  
Xiangru Li ◽  
J L Han ◽  
Chen Wang ◽  
...  

ABSTRACT As radio telescopes become more sensitive, radio frequency interference (RFI) is becoming more important for interesting signals of radio astronomy. There is a demand for developing an automatic, accurate and efficient RFI mitigation method. Therefore, we have investigated an RFI detection algorithm. First, we introduce an asymmetrically reweighted penalized least squares (ArPLS) method to estimate the baseline more accurately. After removing the estimated baseline, several novel strategies were proposed based on the SumThreshold algorithm for detecting different types of RFI. The threshold parameter in SumThreshold can be determined automatically and adaptively. The adaptiveness is essential for reducing human intervention and for the online RFI processing pipeline. Applications to data from the Five-hundred-meter Aperture Spherical Telescope (FAST) show that the proposed scheme based on ArPLS and SumThreshold is superior to some typically available methods for RFI detection with respect to efficiency and performance.


Sign in / Sign up

Export Citation Format

Share Document