Foliations, solvability, and global injectivity
Archiv Der Mathematik, 2022 Let $F: \mathbb{R}^n\to\mathbb{R}^n$ be a $C^{\infty}$ map such that $DF(x)$ is invertible for every $x\in\mathbb{R}^n$. Although being a local diffeomorphism, $F$ is not necessarily globally injective if $n\geq2$. Finding additional assumptions implying the global injectivity of $F$ for $n\geq 2$ is object of intense study in several areas of ...
Marco-Antonio Teixeira +2 more
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On the Connection Between Global Centers and Global Injectivity in the Plane
Differential Equations and Dynamical Systems, 2023 In this note we present a generalization of a result of Sabatini relating global injectivity and global centers. The shape of the image of the map is taking into account. Our proofs do not use Hadamard's theorem.
Jaume Llibre, FRANCISCO Braun
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Assessment of CO₂ sequestration potential in the Abu Sannan oil field for sustainable energy and environment using seismic modeling, Western Desert, Egypt [PDF]
Scientific ReportsGlobal efforts to mitigate climate change have highlighted Carbon Capture and Storage (CCS) as a practical solution for reducing atmospheric CO₂, with depleted oil and gas reservoirs (DOGR) being particularly attractive due to their well-characterized ...
Mohammed Amer +4 more
doaj +2 more sources
Research on Low-Damage CO2 Foam Flooding System: Review and Outlook [PDF]
MoleculesTight oil reservoirs are widely recognized as a critical successor in global unconventional energy development and are generally characterized by distinct geological features, including fine pore throats, pronounced heterogeneity, and a high ...
Jierui Liu +7 more
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Rod deformations with possibly irrecoverable corners: Conditions for global injectivity
Journal of Differential EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Domenico Mucci, Paolo Maria Mariano
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Optimizing global injectivity for constrained parameterization [PDF]
ACM Transactions on Graphics, 2021 Injective parameterizations of triangulated meshes are critical across applications but remain challenging to compute. Existing algorithms to find injectivity either require initialization from an injective starting state, which is currently only possible without positional constraints, or else can only prevent triangle inversion, which is
Xingyi Du +6 more
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Assessing roles of geochemical reactions on CO2 plume, injectivity and residual trapping
Energy Geoscience, 2021 With increasing CO2 concentration in the atmosphere, CO2 geo-aequestration has become a popular technique to counter the dangers of global warming resulting from high levels of CO2 in the atmosphere.
Abdiaziz Abdullahi Maalim +2 more
doaj +1 more source
Globally injective and bijective neural operators
Advances in Neural Information Processing Systems 36, 2023 39 ...
Furuya, Takashi +3 more
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On the injectivity of the global function of a cellular automaton in the hyperbolic plane (extended abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2009 In this paper, we look at the following question. We consider cellular automata in the hyperbolic plane, (see Margenstern, 2000, 2007 and Margenstern, Morita, 2001) and we consider the global function defined on all possible configurations.
Maurice Margenstern
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Globally Injective ReLU Networks
J. Mach. Learn. Res., 2020 Injectivity plays an important role in generative models where it enables inference; in inverse problems and compressed sensing with generative priors it is a precursor to well posedness. We establish sharp characterizations of injectivity of fully-connected and convolutional ReLU layers and networks.
Michael Puthawala +4 more
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