Academic literature on the topic 'Local and global minimizers'

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Dissertations / Theses on the topic "Local and global minimizers"

1

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 en
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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 ex
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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.<br>"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 functi
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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
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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,
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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<br>Made available in DSpace on 2013-07-16T03:37:49Z (GMT). No. of bitstreams: 1 252105.pdf: 288002 bytes, checksum: 7be0987660fe3fb5c34a5e8556c2a4d7 (MD5)<br>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
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