Relevant bibliographies by topics / Local and global minimizers

Academic literature on the topic 'Local and global minimizers'

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Published: 14 March 2023

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Journal articles on the topic "Local and global minimizers"

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Giner, E. "Local minimizers of integral functionals are global minimizers." Proceedings of the American Mathematical Society 123, no. 3 (March 1, 1995): 755. http://dx.doi.org/10.1090/s0002-9939-1995-1254839-1.

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Jimbo, Shuichi, and Jian Zhai. "Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect." Abstract and Applied Analysis 5, no. 2 (2000): 101–12. http://dx.doi.org/10.1155/s1085337500000233.

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We prove the existence of vortex local minimizers to Ginzburg-Landau functional with a global magnetic effect. A domain perturbating method is developed, which allows us to extend a local minimizer on a nonsimply connected superconducting material to the local minimizer with vortex on a simply connected material.
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Andersson, Mats, Oleg Burdakov, Hans Knutsson, and Spartak Zikrin. "Global Search Strategies for Solving Multilinear Least-Squares Problems." Sultan Qaboos University Journal for Science [SQUJS] 16 (April 1, 2012): 12. http://dx.doi.org/10.24200/squjs.vol17iss1pp12-21.

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The multilinear least-squares (MLLS) problem is an extension of the linear least-squares problem. The difference is that a multilinear operator is used in place of a matrix-vector product. The MLLS is typically a large-scale problem characterized by a large number of local minimizers. It originates, for instance, from the design of filter networks. We present a global search strategy that allows for moving from one local minimizer to a better one. The efficiency of this strategy is illustrated by the results of numerical experiments performed for some problems related to the design of filter networks.
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Rodríguez, Nancy, and Yi Hu. "On the steady-states of a two-species non-local cross-diffusion model." Journal of Applied Analysis 26, no. 1 (June 1, 2020): 1–19. http://dx.doi.org/10.1515/jaa-2020-2003.

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AbstractWe investigate the existence and properties of steady-state solutions to a degenerate, non-local system of partial differential equations that describe two-species segregation in homogeneous and heterogeneous environments. This is accomplished via the analysis of the existence and non-existence of global minimizers to the corresponding free energy functional. We prove that in the spatially homogeneous case global minimizers exist if and only if the mass of the potential governing the intra-species attraction is sufficiently large and the support of the potential governing the interspecies repulsion is bounded. Moreover, when they exist they are such that the two species have disjoint support, leading to complete segregation. For the heterogeneous environment we show that if a sub-additivity condition is satisfied then global minimizers exists. We provide an example of an environment that leads to the sub-additivity condition being satisfied. Finally, we explore the bounded domain case with periodic conditions through the use of numerical simulations.
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Palatucci, Giampiero, Ovidiu Savin, and Enrico Valdinoci. "Local and global minimizers for a variational energy involving a fractional norm." Annali di Matematica Pura ed Applicata 192, no. 4 (January 4, 2012): 673–718. http://dx.doi.org/10.1007/s10231-011-0243-9.

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Porretta, Alessio. "On the regularity of the total variation minimizers." Communications in Contemporary Mathematics 23, no. 01 (November 20, 2019): 1950082. http://dx.doi.org/10.1142/s0219199719500822.

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We prove regularity results for the unique minimizer of the total variation functional, currently used in image processing analysis since the work by Rudin, Osher and Fatemi. In particular, we show that if the source term [Formula: see text] is locally (respectively, globally) Lipschitz, then the solution has the same regularity with local (respectively, global) Lipschitz norm estimated accordingly. The result is proved in any dimension and for any (regular) domain. So far we extend a similar result proved earlier by Caselles, Chambolle and Novaga for dimension [Formula: see text] and (in case of the global regularity) for convex domains.
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Teughels, Anne, Guido De Roeck, and Johan A. K. Suykens. "Global optimization by coupled local minimizers and its application to FE model updating." Computers & Structures 81, no. 24-25 (September 2003): 2337–51. http://dx.doi.org/10.1016/s0045-7949(03)00313-4.

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AZORERO, J. P. GARCÍA, I. PERAL ALONSO, and JUAN J. MANFREDI. "SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS." Communications in Contemporary Mathematics 02, no. 03 (August 2000): 385–404. http://dx.doi.org/10.1142/s0219199700000190.

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Enkhbat, R., and T. Bayartugs. "Quasiconvex Semidefinite Minimization Problem." Journal of Optimization 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/346131.

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We introduce so-called semidefinite quasiconvex minimization problem. We derive new global optimality conditions for the above problem. Based on the global optimality conditions, we construct an algorithm which generates a sequence of local minimizers which converge to a global solution.
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Duboscq, Romain, and Olivier Pinaud. "On local quantum Gibbs states." Journal of Mathematical Physics 63, no. 10 (October 1, 2022): 102102. http://dx.doi.org/10.1063/5.0058574.

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We address in this work the problem of minimizing quantum entropies under local constraints. We suppose that macroscopic quantities, such as the particle density, current, and kinetic energy, are fixed at each point of [Formula: see text] and look for a density operator over [Formula: see text], minimizing an entropy functional. Such minimizers are referred to as local Gibbs states. This setting is in contrast with the classical problem of prescribing global constraints, where the total number of particles, total current, and total energy in the system are fixed. The question arises, for instance, in the derivation of fluid models from quantum dynamics. We prove, under fairly general conditions, that the entropy admits a unique constrained minimizer. Due to a lack of compactness, the main difficulty in the proof is to show that limits of minimizing sequences satisfy the local energy constraint. We tackle this issue by introducing a simpler auxiliary minimization problem and by using a monotonicity argument involving the entropy.
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Dissertations / Theses on the topic "Local and global minimizers"

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Cristoferi, Riccardo. "On local and global minimizers of some non-convex variational problems." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4848.

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Many physical systems are modeled mathematically as variational problems, where the observed configurations are expected to be local or global minimizers of a suitable energy. Such an energy can be very complicated, as well as the physical phenomenon under investigation. Thus, as a starting point, it is useful to focus on some simple models, which however capture the main features. In this thesis we concentrate on two kinds of energies, that can be both viewed as nonlocal variants of the perimeter functional. The nonlocality consists in a bulk term, that in one case is given by an elastic energy, while in the other by a long-range interaction of Coulumbic type. The physical systems modeled by these energies displays a rich variety of observable patterns, as well as the formation of morphological instabilities of interfaces between different phases. These phenomena can be mathematically understood as the competition between the local geometric part of the energy, i.e., the perimeter, and the nonlocal one. Indeed, while the first one prefers configurations in which the interfaces are regular and as small as possible, the latter, instead, favors more irregular and oscillating patterns. Thus, finding global or local minima of these energies is a highly nontrivial task, and indeed many big issues about them are still open. The aim of this thesis is to give a contribution to the investigation of such issues.
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Bonacini, Marco. "Minimality and stability results for a class of free-discontinuity and nonlocal isoperimetric problems." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4832.

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Taheri, Ali. "Local minimizers in the calculus of variations." Thesis, Heriot-Watt University, 1997. http://hdl.handle.net/10399/656.

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Hedlin, Ludwig. "Convergence of Linear Neural Networks to Global Minimizers." Thesis, KTH, Matematik (Inst.), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-281982.

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It is known that gradient flow in linear neural networks using Euclidean loss almost always avoids critical points that have at least one eigendirection with negative curvature. Using algebraic invariants of the gradient flow we try to prove that the set of all critical points with no second-order curvature (zero Hessian) for arbitrary networks is associated to a subset of the invariants of lower dimension. This would mean that these critical points are almost surely avoided. We show that this holds for networks with $3$ or less hidden layers and a few other special cases. We show by way of explicit counter-example that it is not true for general deep networks.
Det är känt att linjära neurala nätverk med Euklidisk loss-funktion under gradient flow alltid undviker kritiska punkter som har minst en egenriktning med negativ böjning. Med hjälp av algebraiska invarianter till gradient flow försöker vi bevisa att invarianter associerade med kritiska punkter med försvinnande Hessian-matris utgör en algebraisk mängd av lägre dimension. Det skulle innebära att dessa kritiska punkter nästan alltid undviks. Vi visar att för nätverk med $3$ eller färre gömda lager så gäller detta. Vi visar även med explicit motexempel att våran förmodan inte gäller för allmänna djupa nätverk.
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Kim, Yun-hui. "Topologically non-trivial local minimizers of the Oseen-Frank energy." [Bloomington, Ind.] : Indiana University, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3219903.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2006.
"Title from dissertation home page (viewed June 28, 2007)." Source: Dissertation Abstracts International, Volume: 67-06, Section: B, page: 3166. Advisers: Peter Sternberg; Jacob Rubinstein.
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Fortin, Charles. "Computing the local minimizers of a large and sparse trust-region subproblem." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=85548.

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We present new algorithms for computing local minimizers of the trust-region subproblem (TRS). This problem consists in minimizing a quadratic function subject to a ball constraint. In particular, this problem appears as a subproblem in trust-region methods for constrained and unconstrained optimization. First, by modeling the TRS with a new semidefinite program, different than the standard semidefinite relaxation, we derive an algorithm, similar in structure to the Rendl-Wolkowicz Algorithm, which implicitly solves the semidefinite program by maximizing a single variable concave function over a closed interval. Second, we extend the theory needed for this algorithm and the Rendl-Wolkowicz Algorithm to derive two algorithms for computing a local-nonglobal minimizer of the TRS. These algorithms are based upon finding a root of a single variable convex function with the secant method. In all our algorithms, we compute at most the two smallest eigenvalues of a parameterized matrix. This can be done using an ARPACK subroutine which only requires matrix-vector multiplications. Hence, we are able to exploit the possible sparsity of the Hessian matrix of the quadratic objective, making the algorithms suitable for large problems. Computationally, the algorithms for finding a local-nonglobal minimizer are more competitive than the previous approach based on computing a matrix factorization at each iteration.
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Shahrokhi-Dehkordi, Mohammad Sadegh. "Topological methods for strong local minimizers and extremals of multiple integrals in the calculus of variations." Thesis, University of Sussex, 2011. http://sro.sussex.ac.uk/id/eprint/6913/.

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Let Ω ⊂ Rn be a bounded Lipschitz domain and consider the energy functional F[u, Ω] := ∫ Ω F(∇u(x)) dx, over the space Ap(Ω) := {u ∈ W 1,p(Ω, Rn): u|∂Ω = x, det ∇u> 0 a.e. in Ω}, where the integrand F : Mn×n → R is quasiconvex, sufficiently regular and satisfies a p-coercivity and p-growth for some exponent p ∈ [1, ∞[. A motivation for the study of above energy functional comes from nonlinear elasticity where F represents the elastic energy of a homogeneous hyperelastic material and Ap(Ω) represents the space of orientation preserving deformations of Ω fixing the boundary pointwise. The aim of this thesis is to discuss the question of multiplicity versus uniqueness for extremals and strong local minimizers of F and the relation it bares to the domain topology. Our work, building upon previous works of others, explicitly and quantitatively confirms the significant role of domain topology, and provides explicit and new examples as well as methods for constructing such maps. Our approach for constructing strong local minimizers is topological in nature and is based on defining suitable homotopy classes in Ap(Ω) (for p ≥ n), whereby minimizing F on each class results in, modulo technicalities, a strong local minimizer. Here we work on a prototypical example of a topologically non-trivial domain, namely, a generalised annulus, Ω= {x ∈ Rn : a< |x|
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Bauman, Zygmunt. "Local Orders, Global Chaos." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2378/.

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Hernandez, Rodrigo, and Andréas Andersson. "Global spirituality - local development." Thesis, Malmö högskola, Fakulteten för lärande och samhälle (LS), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:mau:diva-27836.

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The purpose of this study was to examine the dynamics between spirituality and development. The point of departure for the study took place in Rishikesh and Dharamsala, in India. Our main object was to examine the role of the Divine Life Society (DLS), in Rishikesh and the Tibetan government in exile, in Dharamsala, in terms of local development. To achieve a solid platform regarding the theoretical framework, relevant studies were made in Hinduism and Buddhism. The study shows that there is a connection between religion and development. Nevertheless, this connection is not unequivocal, hence, in comparison, the results shows differences between the two objects studied. The conclusion of this study is that although there is a connection between spirituality and local development, spirituality in itself doesn’t mean development.
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Silva, Rogério Silvestre da. "From local to global." Florianópolis, SC, 2008. http://repositorio.ufsc.br/handle/123456789/103219.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Comunicação e Expressão. Programa de Pós-graduação em Letras/Inglês e Literatura Correspondente
Made available in DSpace on 2013-07-16T03:37:49Z (GMT). No. of bitstreams: 1 252105.pdf: 288002 bytes, checksum: 7be0987660fe3fb5c34a5e8556c2a4d7 (MD5)
This study discusses the trajectory of Dionne Brand's poetry in its political engagement with the issues of diaspora, post-colonialism, the Multiculturalism Act in Canada, and struggles of visible minorities. The poet's political discourse is mainly analyzed in light of the intersections between race, class, gender and sexuality. The analysis shows that Brand explores a multitude of voices, that is, a polyphonic discourse in which the poet articulates her political views in order to represent the experience of otherness. Findings also show that Brand's poetic act of resistance expresses her hybrid language which subverts the dominant discourse. The poet also discusses her experience with racism, her vision about the notion of national identity, and her criticism against the media regarding the manipulation of violence and cultural destruction.
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Books on the topic "Local and global minimizers"

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Mirando, Wander Melo. Local/global. São Paulo: Fundaço Memorial de América Latina, 1998.

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Berman, Ila. URBANbuild: Local global. Richmond, CA: William Stout Publishers, 2008.

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Riley, Maria. Women connecting.: The local is global, the global is local. Washington, DC: Center of Concern, 1994.

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Mastin, Prinsloo, and Baynham Mike 1950-, eds. Literacies, global and local. Philadelphia: J. Benjamins Pub. Co., 2007.

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Anderson-Levitt, Kathryn M., ed. Local Meanings, Global Schooling. New York: Palgrave Macmillan US, 2003. http://dx.doi.org/10.1057/9781403980359.

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Carayannis, Elias G., and Jeffrey M. Alexander. Global and Local Knowledge. London: Palgrave Macmillan UK, 2006. http://dx.doi.org/10.1057/9780230508729.

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Tabili, Laura. Global Migrants, Local Culture. London: Palgrave Macmillan UK, 2011. http://dx.doi.org/10.1057/9780230307711.

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Prinsloo, Mastin, and Mike Baynham, eds. Literacies, Global and Local. Amsterdam: John Benjamins Publishing Company, 2008. http://dx.doi.org/10.1075/aals.2.

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Starkey, Guy. Local Radio, Going Global. London: Palgrave Macmillan UK, 2011. http://dx.doi.org/10.1057/9780230347991.

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Bakhcheva, Iryna, Adua Dalla Costa, Anna Katharina Grill, Yu-Po Hua, Davi Lemos, Syed Saad Ali Pasha, Mashiyat Rahman, Taïs Real, and Amanda Zanchetta, eds. Global Issues – Local Alternatives. Göttingen: Göttingen University Press, 2021. http://dx.doi.org/10.17875/gup2021-1760.

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Book chapters on the topic "Local and global minimizers"

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Elsener, Andreas, and Sara van de Geer. "Oracle Inequalities for Local and Global Empirical Risk Minimizers." In Applied and Numerical Harmonic Analysis, 211–36. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-73074-5_7.

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Braides, Andrea. "Convergence of Local Minimizers." In Local Minimization, Variational Evolution and Γ-Convergence, 67–78. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01982-6_5.

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Hoang, Linh, Jung-Tae Lee, Young-In Song, and Hae-Chang Rim. "Combining Local and Global Resources for Constructing an Error-Minimized Opinion Word Dictionary." In PRICAI 2008: Trends in Artificial Intelligence, 688–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-89197-0_63.

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Guddat, J., F. Guerra Vazquez, and H. Th Jongen. "Pathfollowing of Curves of Local Minimizers." In Parametric Optimization: Singularities, Pathfollowing and Jumps, 56–90. Wiesbaden: Vieweg+Teubner Verlag, 1990. http://dx.doi.org/10.1007/978-3-663-12160-2_3.

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Velichkov, Bozhidar. "Non-degeneracy of the Local Minimizers." In Lecture Notes of the Unione Matematica Italiana, 59–64. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-13238-4_4.

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Velichkov, Bozhidar. "Existence of Solutions, Qualitative Properties and Examples." In Lecture Notes of the Unione Matematica Italiana, 23–38. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-13238-4_2.

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AbstractIn this section, we prove that local minimizers of the functional $$\mathcal F_\Lambda $$ ℱ Λ do exist (Proposition 2.1) and we give several important examples of local minimizers that can be computed explicitly (Proposition 2.10, Lemmas 2.15 and 2.16).
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Velichkov, Bozhidar. "Lipschitz Continuity of the Minimizers." In Lecture Notes of the Unione Matematica Italiana, 39–57. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-13238-4_3.

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Ravetz, Joe. "Local-Global." In Deeper City, 296–327. New York, NY : Routledge, 2020.: Routledge, 2020. http://dx.doi.org/10.4324/9781315765860-10.

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Cravey, Altha J. "Local/Global." In Gender’s Place, 281–87. New York: Palgrave Macmillan US, 2002. http://dx.doi.org/10.1007/978-1-137-12227-8_15.

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Heymann, Matthias. "Proofs for Sect. 3.3: Finding Points with Local Minimizers." In Minimum Action Curves in Degenerate Finsler Metrics, 71–96. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17753-3_6.

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Conference papers on the topic "Local and global minimizers"

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Scolavino, L., S. Beretta, M. Madia, and U. Zerbst. "Critical Speed of Flawed Rotors: Global vs Local Approach." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-26881.

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The burst of a disc in rotating machinery can cause catastrophic damage of the equipment and, more importantly, it can represent a mortal threat to anyone in the sphere of influence of the event. In order to minimize the danger associated to a rotating component failure, burst testing is required by the authorities in order to set safety margins to the normal operating speeds. Moreover more accurate predicting tools are required for designing the components. This paper presents the results of a numerical and analytical study on the assessment of the crack driving force for discs containing surface flaws. The aim is to provide a simple, though reliable, tool in order to be able to calculate the possible dangerous in-service speed for a rotating component and, therefore, to set burst margins above the normal operating conditions of the equipment. An R6-like flaw assessment procedure is adopted considering different assumptions in the definition of the critical speed and the analytical predictions are compared with the results of elastic-plastic finite element analysis of disc. In particular, the validity and potentiality of the method is proved for surface flaws in different positions in the disc.
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Deshpande, Abhishek, Hassan Khan, Fahad Mirza, and Dereje Agonafer. "Global-local finite element optimization study to minimize BGA damage under thermal cycling." In 2014 IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITherm). IEEE, 2014. http://dx.doi.org/10.1109/itherm.2014.6892321.

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L. Neto, Manoel S., Marly G. F. Costa, and Cícero F. F. C. Filho. "A New Global-Local Approach to Optimize School Meals Delivery." In XLIV Seminário Integrado de Software e Hardware. Sociedade Brasileira de Computação - SBC, 2017. http://dx.doi.org/10.5753/semish.2017.3366.

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This paper proposes a hybrid approach to solve the capacitated vehicle routing problem with time window constraints (CVRPTW). In order to evaluate such approach, we propose a case study with the primary goal of defining the delivery routes of school meals in the public school system of Manaus city (Amazonas - Brazil). The optimized solution minimizes the traveled distance of the delivery vehicle and takes into account the capacity and time window time constrains. The approach present in this paper is classified as global-local. On one hand, the metaheuristic simulated annealing, usingthe swap operator, is applied in the global search. On the other hand, A* search algorithm is applied in the local search, in order to refine all solutions presented by the global search. Importantly, the main difference between such approach and the remaining ones present in the literature is that all solutions from the global search are optimized in the local search. The experimental evaluation compares the results with another approach, which will be presented throughout the paper, by means of computation time and total traveled distance.
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Gao, Meilin, Bo Ai, Yong Niu, Wen Wu, Peng Yang, Feng Lyu, and Xuemin Shen. "Edge Caching and Content Delivery with Minimized Delay for Both High-Speed Train and Local Users." In GLOBECOM 2019 - 2019 IEEE Global Communications Conference. IEEE, 2019. http://dx.doi.org/10.1109/globecom38437.2019.9013389.

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Wang, Eric, Il-Kyu Hwang, and Yong Se Kim. "Integrated Local and Global Tool Path Planning for Feature-Based Machining." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/cie-14646.

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Abstract We describe an automatic machining tool path generation method that combines local tool path planning for machining features with global tool path planning. From the solid model and the tolerance specifications of the part, machining features are automatically recognized, and geometry-based precedence relations are obtained between these features. From this information, the machining sequence, tool selections, and machining conditions are determined. Machining tool paths are then generated automatically for each setup, combining local and global tool paths. Local tool paths to machine each feature are generated using successive offsetting operations. Global tool paths between features are generated incrementally by searching the adjacency graph of feature free spaces, which represents the current free space of the part. Feature free spaces are obtained by expanding the machining features through their fictitious faces. The start and end positions for the local tool paths of each feature are selected based on a heuristic method to minimize the cost of each segment of the global tool path. This automatic tool path generation method is currently being developed as part of a comprehensive machining process planning system.
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Boutiche, Yamina. "Fast algorithm to minimize model combining dynamically local and global fitting energy for image segmentation." In 2015 3rd International Conference on Control, Engineering & Information Technology (CEIT). IEEE, 2015. http://dx.doi.org/10.1109/ceit.2015.7232985.

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Chung, C. L., and S. Desa. "A Global Approach for Using Kinematic Redundancy to Minimize Base Reactions of Manipulators." In ASME 1989 Design Technical Conferences. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/detc1989-0138.

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Abstract An important consideration in the use of manipulators in Microgravity environments is the minimization of the base reactions, i.e. the magnitude of the force and the moment exerted by the manipulator on its base as it performs its tasks. One approach which has been proposed and implemented is to use the redundant degrees of freedom in a kinematically redundant manipulator to plan manipulator trajectories to minimize base reactions. In this paper we develop a global approach for minimizing the magnitude of the base reactions for kinematically redundant manipulators which integrates the Partitioned Jacobian method of redundancy resolution, a 4-3-4 joint-trajectory representation and the minimization of a cost function which is the time-integral of the magnitude of the base reactions. We also compare the global approach with a local approach developed earlier for the case of point-to-point motion of a three degree-of-freedom planar manipulator with one redundant degree-of-freedom. The results of study show that the global approach is more effective in reducing and smoothing the base force while the local approach is superior in reducing the base moment.
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Edigbue, Paul, Ismail Demirci, Hamdan Hamdan, Abdullatif Al-Shuhail, Irfan Akca, Pantelis Soupios, and Emin Candansayar. "Joint Inversion of Seismic and DC Geophysical Data Using Local and Global Optimization Algorithms." In International Petroleum Technology Conference. IPTC, 2022. http://dx.doi.org/10.2523/iptc-21877-ms.

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Abstract Geophysical inversion is usually carried out to quantitatively analyze the earth model and estimate its physical properties. Successful delineation of these properties such as layer boundaries, or other near-surface structures are crucial to understand the near-surface inhomogeneity. In this study, we focus on the use of joint inversion of seismic refraction and geoelectrical resistivity datasets using local and global optimization methods. The idea is to integrate the two optimization techniques to minimize the challenges faced by each algorithm when applied alone. This hybrid algorithm (local and global) is applied on synthetic data representing simple resistivity and velocity models. About 70% of the anomalies in both seismic and DC resistivity methods were reconstructed in terms of amplitude and geometry using the local optimization algorithm, while the global optimization algorithm shows improved results as it reconstructed about 80% of the amplitude and geometry of the anomalies in both geophysical methods. The result of the synthetic application shows that the hybrid algorithm provides promising outputs in terms of resolution, geometry and amplitude of the anomalies, and computation run time.
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Gao, David, and Ping Lin. "Calculating Global Minimizers of a Nonconvex Energy Potential." In Proceedings of the International Conference on Scientific and Engineering Computation (IC-SEC) 2002. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2002. http://dx.doi.org/10.1142/9781860949524_0161.

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Ragusa, Maria Alessandra, and Atsushi Tachikawa. "On the derivatives of local minimizers of variational integrals." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4765576.

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Reports on the topic "Local and global minimizers"

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Forsgren, Anders L., Philip E. Gill, and Walter Murray. On the Identification of Local Minimizers in Inertia-Controlling Methods for Quadratic Programming. Fort Belvoir, VA: Defense Technical Information Center, July 1989. http://dx.doi.org/10.21236/ada212514.

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Forsgren, A., P. Gill, and W. Murray. On the identification of local minimizers in inertia-controlling methods for quadratic programming. Office of Scientific and Technical Information (OSTI), July 1989. http://dx.doi.org/10.2172/5466244.

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Cooper, Leon N. Local and Global Factors in Learning. Fort Belvoir, VA: Defense Technical Information Center, November 1985. http://dx.doi.org/10.21236/ada161128.

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Sánchez Gassen, Nora, Oskar Penje, and Elin Slätmo. Global goals for local priorities: The 2030 Agenda at local level. Nordregio, September 2018. http://dx.doi.org/10.30689/r2018:2.1403-2503.

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Chandrasekhar, Arun, Melanie Morten, and Alessandra Peter. Network-Based Hiring: Local Benefits; Global Costs. Cambridge, MA: National Bureau of Economic Research, February 2020. http://dx.doi.org/10.3386/w26806.

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Durlauf, Steven, and Paul Johnson. Local Versus Global Convergence Across National Economies. Cambridge, MA: National Bureau of Economic Research, February 1992. http://dx.doi.org/10.3386/w3996.

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Moeller, P., J. R. Nix, and D. J. Vieira. Nuclear pairing: Global trends and local fluctuations. Office of Scientific and Technical Information (OSTI), December 1993. http://dx.doi.org/10.2172/10175360.

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Haftka, Raphael T. Theory and Algorithms for Global/Local Design Optimization. Fort Belvoir, VA: Defense Technical Information Center, December 2004. http://dx.doi.org/10.21236/ada437353.

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Gurdal, Zafer. Innovative Local-Global Methods for Wing Structural Design. Fort Belvoir, VA: Defense Technical Information Center, February 2002. http://dx.doi.org/10.21236/ada402571.

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Parker, Lynne E. Local Versus Global Control Laws for Cooperative Agent Teams. Fort Belvoir, VA: Defense Technical Information Center, March 1992. http://dx.doi.org/10.21236/ada259338.

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