Square-root variable metric based elastic full-waveform inversion—Part 2: uncertainty estimation
Sign Up to like & getrecommendations! Published in 2019 at "Geophysical Journal International"
DOI: 10.1093/gji/ggz137
Abstract: The authors are grateful to editor Jean Virieux and reviewer Andreas Fichtner and an anonymous reviewer for improving the initial manuscript. The authors are grateful to Carl Tape for inspiring discussions and valuable inputs to… read more here.
Keywords: based elastic; metric based; root variable; variable metric ... See more keywords
A self-correcting variable-metric algorithm framework for nonsmooth optimization
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DOI: 10.1093/imanum/drz008
Abstract: An algorithm framework is proposed for minimizing nonsmooth functions. The framework is variable metric in that, in each iteration, a step is computed using a symmetric positive-definite matrix whose value is updated as in a… read more here.
Keywords: self correcting; variable metric; algorithm framework;
Convergence of Parameterized Variable Metric Three-Operator Splitting with Deviations for Solving Monotone Inclusions
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DOI: 10.3390/axioms12060508
Abstract: In this paper, we propose a parameterized variable metric three-operator algorithm for finding a zero of the sum of three monotone operators in a real Hilbert space. Under some appropriate conditions, we prove the strong… read more here.
Keywords: three operator; variable metric; convergence; parameterized variable ... See more keywords
Variable metric proximal stochastic variance reduced gradient methods for nonconvex nonsmooth optimization
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2021084
Abstract: We study the problem of minimizing the sum of two functions. The first function is the average of a large number of nonconvex component functions and the second function is a convex (possibly nonsmooth) function… read more here.
Keywords: stochastic variance; variance reduced; proximal stochastic; variable metric ... See more keywords