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Published in 2020 at "Acta Geophysica"
DOI: 10.1007/s11600-020-00456-7
Abstract: The gradient-based optimization methods are preferable for the large-scale three-dimensional (3D) magnetotelluric (MT) inverse problem. Compared with the popular nonlinear conjugate gradient (NLCG) method, however, the limited-memory Broyden–Fletcher–Goldfarb–Shanno (L-BFGS) method is less adopted. This paper…
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Keywords:
three dimensional;
dimensional magnetotelluric;
bfgs;
inversion ... See more keywords
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Published in 2017 at "Neurocomputing"
DOI: 10.1016/j.neucom.2017.05.061
Abstract: Abstract Working up with deep learning techniques requires profound understanding of the mechanisms underlying the optimization of the internal parameters of complex structures. The major factor limiting this understanding is that there exist only a…
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Keywords:
limited memory;
training strategy;
optimization;
bfgs ... See more keywords
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Published in 2019 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2018.1465940
Abstract: ABSTRACT An upper bound for condition number of the scaled memoryless Broyden–Fletcher–Goldfarb–Shanno (BFGS) updating formula in the matrix norm is given. Then, in order to increase numerical stability of the related method, the suggested bound…
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Keywords:
bfgs;
method;
matrix norm;
scaling parameter ... See more keywords
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Published in 2021 at "Geophysical Journal International"
DOI: 10.1093/gji/ggab375
Abstract: Full-waveform inversion has become an essential technique for mapping geophysical subsurface structures. However, proper uncertainty quantification is often lacking in current applications. In theory, uncertainty quantification is related to the inverse Hessian (or the posterior…
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Keywords:
full waveform;
bfgs;
uncertainty;
uncertainty quantification ... See more keywords
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Published in 2022 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2021.3121445
Abstract: For massive multiple-input multiple-output (MIMO) systems, minimum mean square error (MMSE) detection is near-optimal, but requires high-complexity matrix inversion. To avoid matrix inversion, we formulate MMSE detection as a strictly convex quadratic optimization problem, which…
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Keywords:
mimo systems;
detection;
scheme;
massive mimo ... See more keywords
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Published in 2019 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2019.2891088
Abstract: The limited memory version of the Broyden–Fletcher–Goldfarb–Shanno (L-BFGS) algorithm is the most popular quasi-Newton algorithm in machine learning and optimization. Recently, it was shown that the stochastic L-BFGS (sL-BFGS) algorithm with the variance-reduced stochastic gradient…
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Keywords:
stochastic bfgs;
accelerated linearly;
bfgs;
bfgs algorithm ... See more keywords
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Published in 2017 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2017.2666776
Abstract: We introduce the decentralized Broyden–Fletcher–Goldfarb–Shanno (D-BFGS) method as a variation of the BFGS quasi-Newton method for solving decentralized optimization problems. Decentralized quasi-Newton methods are of interest in problems that are not well conditioned, making first-order…
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Keywords:
order;
bfgs;
quasi newton;
newton methods ... See more keywords
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Published in 2017 at "Mathematical Problems in Engineering"
DOI: 10.1155/2017/4317670
Abstract: This study proposes an algorithm to solve inverse reliability problems with a single unknown parameter. The proposed algorithm is based on an existing algorithm, the inverse first-order reliability method (inverse-FORM), which uses the Hasofer Lind…
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Keywords:
hlrf;
bfgs;
inverse form;
reliability ... See more keywords