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Comparison of Accuracy for Methods to Approximate Fisher Information in the Scalar Case
[article]
2015
arXiv
pre-print
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In such cases, we need to utilize the approximation of FIM. In general, there are two ways to estimate FIM. ...
In this paper we mainly focus on the case where the unknown parameter that needs to be estimated by MLE is scalar and the random variables we have are independent. ...
comparison of accuracy for the two approximation methods in the scalar case and mainly focused our analysis on the family of symmetric density functions. ...
arXiv:1501.00218v3
fatcat:4i7q5xcbkzaclkylwjlxsal2m4
M-FAC: Efficient Matrix-Free Approximations of Second-Order Information
[article]
2021
arXiv
pre-print
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as in the classic approximation of the Hessian by the empirical Fisher matrix. ...
In this work, we investigate matrix-free, linear-time approaches for estimating Inverse-Hessian Vector Products (IHVPs) for the case when the Hessian can be approximated as a sum of rank-one matrices, ...
M-FAC outperforms previous methods in the case of MobileNetV1-STR by more than 1.5% Top-1 accuracy. ...
arXiv:2107.03356v5
fatcat:qmvcglffezcrbcfqy26z2q3dhi
Can We Determine Electric Fields and Poynting Fluxes from Vector Magnetograms and Doppler Measurements?
2011
Solar Physics
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2011 pre-print arXiv:1101.4086v1 fatcat:qryt5uiqzfemxkzmmdqlvhgqm4Other Versions
The availability of vector magnetogram sequences with sufficient accuracy and cadence to estimate the time derivative of the magnetic field allows us to use Faraday's law to find an approximate solution ...
Here, we show how additional information in the form of line-of-sight Doppler flow measurements, and motions transverse to the line-of-sight determined with ad-hoc methods such as local correlation tracking ...
The resulting solutions for E are shown in the third row of Figure 2 , with a scatterplot comparison of S z of the PTD method and the PTD plus Doppler information with the actual simulation electric fields ...
doi:10.1007/s11207-011-9816-4
fatcat:ptlk4rfglngo7cbfbwpnxdijue
Accelerated Experimental Design for Pairwise Comparisons
[article]
2019
arXiv
pre-print
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This objective is known to perform well in practice, and is submodular, making the selection approximable via the greedy algorithm. ...
When combined, the above improvements lead to an execution time of less than 1 hour for a dataset with 10^8 comparisons; the naïve greedy algorithm on the same dataset would require more than 10 days to ...
For Mutual information we only execute it for batch size no more than 8, for Fisher information method we only execute it for batch size no more than 5. ...
arXiv:1901.06080v1
fatcat:bkt76v74nrgmbbc3jocft7i6tm
Experimental Design for Stochastic Models of Nonlinear Signaling Pathways Using an Interval-Wise Linear Noise Approximation and State Estimation
2016
PLoS ONE
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The computational speed of the MSS approach for the Fisher information matrix allows for an application in realistic size models. ...
There are well established methods for the estimation of the kinetic parameters in models of ordinary differential equations (ODE). ...
CZ would like to thank Ruth Großeholz for proofreading and helpful comments. CZ would also like to thank the two anonymous reviewers for their valuable comments. ...
doi:10.1371/journal.pone.0159902
pmid:27583802
pmcid:PMC5008843
fatcat:zamz4mgisfdkxe5sltzrxcc4oq
Microwave Background Constraints on Cosmological Parameters
1997
Astrophysical Journal
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We use a high-accuracy computational code to investigate the precision with which cosmological parameters could be reconstructed by future cosmic microwave background (CMB) experiments, in particular the ...
the ionization history of the universe. ...
In §5, we explore the accuracy of the Fisher method by performing a more general type of analysis and investigate the effects of prior information in the accuracy of the reconstruction. ...
doi:10.1086/304692
fatcat:bt63oyyutjevbjxoqwastbmprm
Demonstration of Enhanced Monte Carlo Computation of the Fisher Information for Complex Problems
[article]
2014
arXiv
pre-print
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The Fisher information matrix summarizes the amount of information in a set of data relative to the quantities of interest. ...
We show through numerical examples how these methods improve the accuracy of the estimate of the information matrix compared to the basic resampling-based approach. Some relevant theory is summarized. ...
T θ There are 5(5+1)/2 = 15 unique terms in F n (θ) that are to be estimated. The analytical form of the true Fisher information matrix is not attainable in this case. ...
arXiv:1405.1491v1
fatcat:krh5ky6zybbtdpiynx7rhdexeq
SVD (singular value decomposition)
[chapter]
2008
Encyclopedia of Genetics, Genomics, Proteomics and Informatics
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A multi-level parameter estimation procedure is implemented to sequentially accumulate information from prior estimates in a Fisher information matrix for use in subsequent parameter estimates. ...
The use of a generic uncertainty model in estimating the predictive accuracy of future DYNA simulations is enhanced through the use of a reduced set of principal component metrics and a basis augmentation ...
The nonlinear finite element models used in the numerical example were developed by Karagozian & Case, Structural Engineers. ...
doi:10.1007/978-1-4020-6754-9_16446
fatcat:ndcr27p5ojdupg6m5qn6ihkda4
Fisher Information Field: an Efficient and Differentiable Map for Perception-aware Planning
[article]
2020
arXiv
pre-print
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To integrate the knowledge about localization accuracy in motion planning algorithms, a central task is to quantify the amount of information that an image taken at a 6 degree-of-freedom pose brings for ...
To overcome these drawbacks, we propose the first dedicated map representation for evaluating the Fisher information of 6 degree-of-freedom visual localization for perception-aware motion planning. ...
The maximum number of iterations was set to 100.
The presented definition is the observed Fisher information. See [35] for the comparison of different concepts. ...
arXiv:2008.03324v1
fatcat:lmlmdm4irzdabie2k67pe3a3pu
Noise Properties of Motion-Compensated Tomographic Image Reconstruction Methods
2013
IEEE Transactions on Medical Imaging
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Motion-compensated image reconstruction (MCIR) methods incorporate motion models to improve image quality in the presence of motion. ...
MCIR methods differ in terms of how they use motion information and they have been well studied separately. However, there have been less theoretical comparisions of different MCIR methods. ...
Acknowledgments This work was supported in part by NIH/NCI grant 1P01 CA87634. ...
doi:10.1109/tmi.2012.2206604
pmid:22759442
pmcid:PMC3821946
fatcat:64ix5olqyjdoxoqftmztm4wrva
WoodFisher: Efficient Second-Order Approximation for Neural Network Compression
[article]
2020
arXiv
pre-print
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2020 pre-print arXiv:2004.14340v4 fatcat:cm55abyqyzg6fjyoympwkdrvnmOther Versions
Recently, there has been significant interest in utilizing this information in the context of deep neural networks; however, relatively little is known about the quality of existing approximations in this ...
Further, even when iterative, gradual pruning is considered, our method results in a gain in test accuracy over the state-of-the-art approaches, for pruning popular neural networks (like ResNet-50, MobileNetV1 ...
Also, we would like to thank Alexander Shevchenko, Alexandra Peste, and other members of the group for fruitful discussions. ...
arXiv:2004.14340v5
fatcat:n2k7d354a5emxe4y5zewpotnh4
Spatially sensitive statistical shape analysis for pedestrian recognition from LIDAR data
2018
Computer Vision and Image Understanding
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This work introduces encoding methods for pedestrian recognition, based on statistical shape analysis of 3D LIDAR data. ...
The latter method derives more detailed cues, by enriching the 'gross' information reflected by overall statistics of local shape descriptors, with 'fine-grained' information reflected by statistics associated ...
For this reason and aiming 290 for clarity, we will only present recognition results from the SVM-based methods in the comparisons to follow. ...
doi:10.1016/j.cviu.2018.06.001
fatcat:xj5aa44r4fddvaaiaem5n43ztm
Parameter estimation and uncertainty quantification using information geometry
[article]
2022
arXiv
pre-print
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In this work we: (1) review likelihood-based inference for parameter estimation and the construction of confidence regions; and, (2) explore the use of techniques from information geometry, including geodesic ...
curves and Riemann scalar curvature, to supplement typical techniques for uncertainty quantification such as Bayesian methods, profile likelihood, asymptotic analysis and bootstrapping. ...
Acknowledgements We thank Professor Alan Garfinkel (UCLA) for introducing K.B. to information geometry, and for numerous discussions while both were at the University of Oxford. We also thank Dr. ...
arXiv:2111.12201v3
fatcat:rqpho3wo3vdarprdlpqx6ahmwi
Accuracy of Measuring Camera Position by Marker Observation
2010
Journal of Software Engineering and Applications
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This bound justifies the specification of the CVS parameters and allows us to formulate constraints for an object trajectory based on required measurement accuracy. ...
For making the measurement, the boundaries of marker image are used. ...
In reference [11] , an expression of Fisher Information Matrix was derived for the case of one-dimensional signal. ...
doi:10.4236/jsea.2010.310107
fatcat:5sacr6xibjbinkfmfa23ey6azy
Page 6493 of Mathematical Reviews Vol. , Issue 2000i
[page]
2000
Mathematical Reviews
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Multiple contrast tests which may be regarded as an approxima- tion of the generalized Bayes tests are obtained and their power comparisons are shown for the cases of k = 4, 5 and 6. ...
Summary: “In the Bayesian approach, the Behrens-Fisher prob- lem has been posed as one of estimation for the difference of two means. ...
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