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Journal articles on the topic 'Optimisation en dimension infinie'

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Published: 25 May 2024

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1

Booker, Kyle, and Yana Nec. "On accuracy of numerical solution to boundary value problems on infinite domains with slow decay." Mathematical Modelling of Natural Phenomena 14, no. 5 (2019): 503. http://dx.doi.org/10.1051/mmnp/2019008.

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A numerical approach is developed to solve differential equations on an infinite domain, when the solution is known to possess a slowly decaying tail. An unorthodox boundary condition relying on the existence of an asymptotic relation for |y| ≫ 1 is implemented, followed by an optimisation procedure, allowing to obtain an accurate solution over a truncated finite domain. The method is applied to −(−Δ)γ/2u − u + up = 0 in ℝ, a non-linear integro-differential equation containing the fractional Laplacian, and is easily expanded to asymmetric boundary conditions or domains of a higher dimension.

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2

Gaudin, M. "Matrices R de dimension infinie." Journal de Physique 49, no. 11 (1988): 1857–65. http://dx.doi.org/10.1051/jphys:0198800490110185700.

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3

Robart, Thierry. "Sur L'Intégrabilité des Sous–Algèbres de lie en Dimension Infinie." Canadian Journal of Mathematics 49, no. 4 (August 1, 1997): 820–39. http://dx.doi.org/10.4153/cjm-1997-042-7.

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RésuméUne des questions fondamentales de la théorie des groupes de Lie de dimension infinie concerne l’intégrabilitédes sous–algèbres de Lie topologiques H de l’algèbre de Lie G d’un groupe de Lie G de dimension infinie au sens de Milnor. Par contraste avec ce qui se passe en théorie classique il peut exister des sous–algèbres de Lie fermées H de G non–intégrables en un sous–groupe de Lie. C’est le cas des algèbres de Lie de champs de vecteurs C∞ d’une variétécompacte qui ne définissent pas un feuilletage de Stefan. Heureusement cette “imperfection” de la théorie n’est pas partagée par tous les groupes de Lie intéressants. C’est ce que montre cet article en exhibitant une très large classe de groupes de Lie de dimension infinie exempte de cette imperfection. Cela permet de traiter complètement le second problème fondamental de Sophus Lie pour les groupes de jauge de la physique–mathématique et les groupes formels de difféomorphismes lisses de ℝn qui fixent l’origine.

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4

Pelletier, Fernand, Spyros Pnevmatikos, and Ioannis Andreadis. "Quelques conséquences de la transversalité en dimension infinie." Indagationes Mathematicae 12, no. 2 (June 2001): 247–59. http://dx.doi.org/10.1016/s0019-3577(01)80030-6.

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5

Chidami, M., and R. El Harti. "Calcul fonctionnel holomorphe en dimension infinie dans leslmca." Rendiconti del Circolo Matematico di Palermo 48, no. 3 (October 1999): 541–48. http://dx.doi.org/10.1007/bf02844343.

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6

Khakimdjanova, Kamola, and Yusupdjan Khakimdjanov. "SUR UNE CLASSE D'ALGEBRES DE LIE DE DIMENSION INFINIE." Communications in Algebra 29, no. 1 (March 21, 2001): 177–91. http://dx.doi.org/10.1081/agb-100000793.

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7

Cauty, Robert. "Sur l’invariance de la dimension infinie forte par t-équivalence." Fundamenta Mathematicae 160, no. 1 (1999): 95–100. http://dx.doi.org/10.4064/fm-160-1-95-100.

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8

Féjoz, Jacques, and Mauricio Garay. "Un théorème sur les actions de groupes de dimension infinie." Comptes Rendus Mathematique 348, no. 7-8 (April 2010): 427–30. http://dx.doi.org/10.1016/j.crma.2010.01.024.

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9

Glover, B. M. "Locally compactly Lipschitzian mappings in infinite dimensional programming." Bulletin of the Australian Mathematical Society 47, no. 3 (June 1993): 395–406. http://dx.doi.org/10.1017/s0004972700015227.

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In this note we show that a subgradient multifunction of a locally compactly Lip-schitzian mapping satisfies a closure condition used extensively in optimisation theory. In addition we derive a chain rule applicable in either separable or reflexive Banach spaces for the class of locally compactly Lipschitzian mappings using a recently derived generalised Jacobian. We apply these results to the derivation of Karush-Kuhn-Tucker and Fritz John optimality conditions for general abstract cone-constrained programming problems. A discussion of constraint qualifications is undertaken in this setting.

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10

Steinmetz-Zikesch, Wilhelm Alexander. "Algèbres de Lie de dimension infinie et théorie de la descente." Mémoires de la Société mathématique de France 1 (2012): 1–99. http://dx.doi.org/10.24033/msmf.440.

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11

Li, Xiao-Dong, Chen-Zhong Xu, Yue-Jun Pen, and Marius Tucsnak. "Synthèse des observateurs pour une classe de systèmes de dimension infinie." Journal Européen des Systèmes Automatisés 45, no. 4-6 (August 30, 2011): 363–83. http://dx.doi.org/10.3166/jesa.45.363-383.

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12

Le Gorrec, Yann, Hui Peng, Laurent Lefèvre, Boussad Hamroun, and Françoise Couenne. "Systèmes hamiltoniens à ports de dimension infinie. Réduction et propriétés spectrales." Journal Européen des Systèmes Automatisés 45, no. 7-10 (December 30, 2011): 645–64. http://dx.doi.org/10.3166/jesa.45.645-664.

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13

Arisawa, Mariko, Hitoshi Ishii, and Pierre-Louis Lions. "Un contre-exemple pour la théorie du contrôle ergodique en dimension infinie." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 325, no. 1 (July 1997): 37–41. http://dx.doi.org/10.1016/s0764-4442(97)83930-4.

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14

Akesbi, Samir, and Emmanuel Maitre. "Méthode du résidu minimal en dimension infinie pour l'équation de transport neutronique." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 330, no. 5 (March 2000): 385–90. http://dx.doi.org/10.1016/s0764-4442(00)00186-5.

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15

Akkar, M., and H. Arroub. "Calcul Fonctionnel Holomorphe en Dimension Infinie dans une Algebre de Banach Quotient." Rendiconti del Circolo Matematico di Palermo 49, no. 1 (February 2000): 121–40. http://dx.doi.org/10.1007/bf02904224.

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16

El Haddad, E. M. "Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire." Publicacions Matemàtiques 39 (January 1, 1995): 173–85. http://dx.doi.org/10.5565/publmat_39195_10.

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17

Dabo-Niang, Sophie. "Estimation de la densité dans un espace de dimension infinie : Application aux diffusions." Comptes Rendus Mathematique 334, no. 3 (February 2002): 213–16. http://dx.doi.org/10.1016/s1631-073x(02)02247-1.

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18

Truong, Tuyen Trung. "When Will a Sequence of Points in a Riemannian Submanifold Converge?" Mathematics 8, no. 11 (November 3, 2020): 1934. http://dx.doi.org/10.3390/math8111934.

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Let X be a Riemannian manifold and xn a sequence of points in X. Assume that we know a priori some properties of the set A of cluster points of xn. The question is under what conditions that xn will converge. An answer to this question serves to understand the convergence behaviour for iterative algorithms for (constrained) optimisation problems, with many applications such as in Deep Learning. We will explore this question, and show by some examples that having X a submanifold (more generally, a metric subspace) of a good Riemannian manifold (even in infinite dimensions) can greatly help.

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19

Demetriou, Michael A., and Fariba Fahroo. "Optimisation and adaptation of synchronisation controllers for networked second-order infinite-dimensional systems." International Journal of Control 92, no. 1 (January 16, 2017): 112–31. http://dx.doi.org/10.1080/00207179.2016.1276632.

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20

Saufnay, Loris, Tom Renotte, Ludovic Mahieu, and Jean‐François Demonceau. "Design optimisation of welded I‐beams made of high strength steels." ce/papers 6, no. 3-4 (September 2023): 568–73. http://dx.doi.org/10.1002/cepa.2471.

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AbstractNowadays, hot rolled steel sections are used in practice. The cross‐sectional dimensions are therefore fixed and catalogued by the steel manufacturers. However, when the span of the members and/or the applied load becomes significant, such hot rolled steel sections can no longer meet the ultimate and/or service design criteria and the use of a built‐up welded I‐beam should be considered. They are typically made of three steel plates welded together to form a monolithic I‐beam. By varying the dimensions of these plates, an infinite amount of cross‐section geometries can be defined. But face to this high variability of solutions, the designers encounter difficulties in identifying the most appropriate combination of geometrical and mechanical properties for the constitutive plates.To study and optimise these profiles, a MATLAB® routine has been developed at the University of Liege. It allows, for different load cases, to find suitable cross‐sectional dimensions that minimise the weight and/or the total cost of the element. This routine follows the current recommendations prescribed in prEN1993‐1‐5 and evaluates the possibility of using transverse stiffeners along the web to further reduce the weight and cost of the element. The so‐developed routine is presented in the present paper. Also, the advantage of considering the use of high strength steels for such structural members is discussed to propose recommendations to the designers for the selection of the most appropriate steel grade.

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21

Gaveau, Bernard, and Jean-Marc Moulinier. "Régularité des mesures et perturbations stochastiques de champs de vecteurs sur des espaces de dimension infinie." Publications of the Research Institute for Mathematical Sciences 21, no. 3 (1985): 593–616. http://dx.doi.org/10.2977/prims/1195179057.

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22

Roger, Claude. "Extensions centrales d'algèbres et de groupes de lie de dimension infinie, algèbre de virasoro et généralisations." Reports on Mathematical Physics 35, no. 2-3 (April 1995): 225–66. http://dx.doi.org/10.1016/0034-4877(96)89288-3.

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23

Hurtubise, J. C. "Configurations de Particules et Espaces de Modules." Canadian Mathematical Bulletin 38, no. 1 (March 1, 1995): 66–79. http://dx.doi.org/10.4153/cmb-1995-009-5.

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RésuméCet article de survol est le résumé de la conférence Coxeter-James de l'auteur, prononcée à la réunion d'hiver 1993 de la Société Mathématique du Canada.La théorie de Morse décrit les liens entre la topologie d'une variété et la topologie des points critiques d'une fonction sur cette variété. La fonctionnelle d'énergie pour les applications d'une surface dans une variété, dont les points critiques seront des applications harmoniques et parfois holomorphes, et la fonctionnelle de Yang-Mills pour des connections sur une variété de dimension quatre sont deux cas en dimension infinie pour lesquels la théorie de Morse ne tient pas. Néanmois, dans les deux cas, on peut récupérer une quantité étonnante d'information, pourvu qu'on stabilise par rapport à un degré ou une charge qui sont des données du problème. Les preuves recyclent des résultats de la théorie de l'homotopie des années '70, et les combinent à des idées de géométrie complexe pour donner de jolis modèles des espaces en cause en termes de "particules". Nous espérons donner un survol général et accessible des idées utilisées.

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24

Benzoni-Gavage, Sylvie. "Sur la stabilité de profils de choc semi-discrets au moyen d’une fonction d’Evans en dimension infinie." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329, no. 5 (September 1999): 377–82. http://dx.doi.org/10.1016/s0764-4442(00)88609-7.

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25

Lacki, J. "Algèbres de dimension infinie, groupes des tresses et groupes quantiques dans les théories conformes à deux dimensions." La Rivista Del Nuovo Cimento Series 3 12, no. 12 (December 1989): 1–52. http://dx.doi.org/10.1007/bf02742980.

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26

BONNEAU, PHILIPPE. "TOPOLOGICAL QUANTUM DOUBLE." Reviews in Mathematical Physics 06, no. 02 (April 1994): 305–18. http://dx.doi.org/10.1142/s0129055x94000146.

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Following a preceding paper showing how the introduction of a t.v.s. topology on quantum groups led to a remarkable unification and rigidification of the different definitions, we adapt here, in the same way, the definition of quantum double. This topological double is dualizable and reflexive (even for infinite dimensional algebras). In a simple case we show, considering the double as the "zero class" of an extension theory, the uniqueness of the double structure as a quasi-Hopf algebra. A la suite d'un précédent article montrant comment l'introduction d'une topologie d'e.v.t. sur les groupes quantiques permet une unification et une rigidification remarquables des différentes définitions, on adapte ici de la même manière la définition du double quantique. Ce double topologique est alors dualisable et reflexif (même pour des algèbres de dimension infinie). Dans un cas simple on montre, en considérant le double comme la "classe zéro" d'une théorie d'extensions, l'unicité de cette structure comme algèbre quasi-Hopf.

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27

Dionizio, Mayara. "L'HUMANISME DU CRI : DE L'ABSENCE DE L'HUMAIN À L'HUMAIN ABSENT DANS LE MALHEUR ET LE NIHILISME." Revista Dialectus - Revista de Filosofia 30, no. 30 (August 30, 2023): 120–33. http://dx.doi.org/10.30611/2023n30id92049.

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La réflexion sur le nihilisme, dans l'œuvre de Maurice Blanchot, est fondamentalement liée à la pensée de la rupture. Ainsi, si le nihilisme se configure comme la rupture avec le sens absolu, métaphysique et humain, la fin devient l'horizon de la transcendance pour l'humain avec la mort de Dieu. En ce sens, pour Blanchot, la transcendance, à partir du concept de Surhomme, s'inscrirait toujours dans une certaine dimension de l'humanisme, même si l'œuvre de Nietzsche se détache de l'idéal humaniste. C'est pourquoi Blanchot se consacre à réfléchir, à partir des notions de nihilisme, de l'humain inséré dans le champ de connaissance des Sciences Humaines, de la rupture du sens comme expérience du langage littéraire et du malheur dans les camps de concentration, à la possibilité d'un autre humanisme chez Nietzsche. Partant de cette hypothèse, cet article articule ces notions afin de penser la rupture comme une condition éthique qui se réalise à travers le langage comme seul moyen d'approximation, de distanciation, de fragmentation et d'itérabilité infinie.

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28

Amir, B. "Étude par la théorie d'extrapolation des equations différentielles à retard en dimension infinie à opérateurs de domaines non denses." Bulletin of the Belgian Mathematical Society - Simon Stevin 7, no. 4 (2000): 511–20. http://dx.doi.org/10.36045/bbms/1103055612.

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29

Colomer, Maria Prat, Luke Mortimer, Irénée Frérot, Máté Farkas, and Antonio Acín. "Three numerical approaches to find mutually unbiased bases using Bell inequalities." Quantum 6 (August 17, 2022): 778. http://dx.doi.org/10.22331/q-2022-08-17-778.

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Mutually unbiased bases correspond to highly useful pairs of measurements in quantum information theory. In the smallest composite dimension, six, it is known that between three and seven mutually unbiased bases exist, with a decades-old conjecture, known as Zauner's conjecture, stating that there exist at most three. Here we tackle Zauner's conjecture numerically through the construction of Bell inequalities for every pair of integers n,d≥2 that can be maximally violated in dimension d if and only if n MUBs exist in that dimension. Hence we turn Zauner's conjecture into an optimisation problem, which we address by means of three numerical methods: see-saw optimisation, non-linear semidefinite programming and Monte Carlo techniques. All three methods correctly identify the known cases in low dimensions and all suggest that there do not exist four mutually unbiased bases in dimension six, with all finding the same bases that numerically optimise the corresponding Bell inequality. Moreover, these numerical optimisers appear to coincide with the ``four most distant bases'' in dimension six, found through numerically optimising a distance measure in [P. Raynal, X. Lü, B.-G. Englert, {Phys. Rev. A}, { 83} 062303 (2011)]. Finally, the Monte Carlo results suggest that at most three MUBs exist in dimension ten.

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30

Lagacé, Jean. "Eigenvalue Optimisation on Flat Tori and Lattice Points in Anisotropically Expanding Domains." Canadian Journal of Mathematics 72, no. 4 (March 7, 2019): 967–87. http://dx.doi.org/10.4153/s0008414x19000130.

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AbstractThis paper is concerned with the maximisation of the $k$-th eigenvalue of the Laplacian amongst flat tori of unit volume in dimension $d$ as $k$ goes to infinity. We show that in any dimension maximisers exist for any given $k$, but that any sequence of maximisers degenerates as $k$ goes to infinity when the dimension is at most 10. Furthermore, we obtain specific upper and lower bounds for the injectivity radius of any sequence of maximisers. We also prove that flat Klein bottles maximising the $k$-th eigenvalue of the Laplacian exhibit the same behaviour. These results contrast with those obtained recently by Gittins and Larson, stating that sequences of optimal cuboids for either Dirichlet or Neumann boundary conditions converge to the cube no matter the dimension. We obtain these results via Weyl asymptotics with explicit control of the remainder in terms of the injectivity radius. We reduce the problem at hand to counting lattice points inside anisotropically expanding domains, where we generalise methods of Yu. Kordyukov and A. Yakovlev by considering domains that expand at different rates in various directions.

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31

Lamy, Laurent. "Le don et l’abandon : la trace de la traduction dans la blanche écriture du concept." TTR : traduction, terminologie, rédaction 12, no. 2 (February 26, 2007): 131–58. http://dx.doi.org/10.7202/037376ar.

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Résumé Le don et l'abandon : la trace de la traduction dans la blanche écriture du concept — Cette étude met en question l'ascendant du concept dans le domaine de l'expression ou, plus généralement, celui des « arts du sens ». L'impossibilité qui frappe la nécessité même de la traduction comme vecteur de la signification, loin de l'aliéner, l'instruit plutôt comme agent créateur d'une dimension de sens dont l'ouverture, virtuellement infinie, est intimement liée à la finitude qui s'attache au partage de la condition humaine. C'est là la limite du concept et le plan de démarcation de toute poétique en regard de la normativité inhérente à l'exercice du langage. C'est aussi la frontière qu'explore la traduction, qui ne saurait alors être reléguée à une fonction ancillaire en vertu de laquelle il lui incomberait simplement de préserver l'univocité du signifié (concept) commandant la translation idyllique entre une langue-source et une langue-cible. La traduction est par essence « performative », c'est-à-dire qu'elle produit du sens. Ainsi fait-elle brèche vers une dimension d'universalité qui n'est pas d'abord subordonnée à l'unité du concept, mais se ressource et trouve son épanouissement dans l'unicité de la forme, celle d'une langue dont l'incomplétude est non seulement avérée, mais sollicitée dans son rapport à l'étranger. Il ne lui appartient pas de communiquer quelque chose, mais de révéler l'essence même de la communicabilité.

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32

Schneider, Monique. "Éprouver le passage." TTR : traduction, terminologie, rédaction 11, no. 2 (March 1, 2007): 55–72. http://dx.doi.org/10.7202/037334ar.

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Résumé Éprouver le passage — Lorsque se trouve accentuée la dimension de perte inhérente à l'accès au symbolique, la traduction peut apparaître comme le champ privilégié où s'étale cette perte. Direction suivie par J.-B. Pontalis parlant de « la mélancolie du langage » et dotant le traducteur de « la capacité infinie d'être triste ». Une autre orientation se dessine si la traduction est envisagée dans son exercice même et non dans son seul résultat. L'expérience analysée sera celle de la retraduction des textes de Freud, mettant au jour les opérations à l'oeuvre dans les traductions officielles : maquillage des termes se rapportant à la scène de séduction et à la possibilité, pour le maître, d'avoir accès à la jouissance. Ce qui conduit à une mise en abyme du procès de la séduction. De la traduction mystifiée à la traduction impossible : c'est la tentative même de franchissement qui fait apparaître l'inconvertible dans une langue, l'exemple choisi étant le signifiant allemand, Leib, terme désignant, par opposition à Körper, le corps vivant ou le corps en creux, donc connoté de féminité; connotation qu'aucun terme français ne pourra rendre.

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33

Boon, Mei Ying, Bruce Ian Henry, Byoung Sun Chu, Nour Basahi, Catherine May Suttle, Chi Luu, Harry Leung, and Stephen Hing. "Fractal Dimension Analysis of Transient Visual Evoked Potentials: Optimisation and Applications." PLOS ONE 11, no. 9 (September 6, 2016): e0161565. http://dx.doi.org/10.1371/journal.pone.0161565.

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34

Ahuja, Jyoti, and Saroj Ratnoo. "Dimension reduction for microarray data using multi-objective ant colony optimisation." International Journal of Computational Systems Engineering 3, no. 1/2 (2017): 58. http://dx.doi.org/10.1504/ijcsyse.2017.083149.

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35

Ratnoo, Saroj, and Jyoti Ahuja. "Dimension reduction for microarray data using multi-objective ant colony optimisation." International Journal of Computational Systems Engineering 3, no. 1/2 (2017): 58. http://dx.doi.org/10.1504/ijcsyse.2017.10004024.

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36

Gonzalez, Alfonso González, David Rodríguez Salgado, and Lorenzo García Moruno. "Optimisation of a laparoscopic tool handle dimension based on ergonomic analysis." International Journal of Industrial Ergonomics 48 (July 2015): 16–24. http://dx.doi.org/10.1016/j.ergon.2015.03.007.

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37

Vasudev, K. L., R. Sharma, and S. K. Bhattacharyya. "A Modular and Integrated Optimisation Model for Underwater Vehicles." Defence Science Journal 66, no. 1 (January 27, 2016): 71. http://dx.doi.org/10.14429/dsj.66.8889.

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<p>A modular and integrated optimisation model for the design of underwater vehicles is presented. In the proposed optimisation model two modules (i.e. low fidelity and high fidelity) are incorporated and the basic geometric definition of computer aided design (CAD) is integrated with computational fluid dynamic (CFD) analysis. The hydrodynamic drag is considered as single objective with constraints on the geometric parameters of dimension, space and volume. The CAD model is implemented in MATLAB*TM and CFD model is implemented in Shipflow**TM. A real-world design example of an existing underwater vehicles is presented. The applicability of proposed optimisation model is shown. The presented results show that within given set or sets of constraints the application of optimisation model in design results into an efficient hull form.</p><p><strong>Defence Science Journal, Vol. 66, No. 1, January 2016, pp. 71-80, DOI: http://dx.doi.org/10.14429/dsj.66.8889</strong></p>

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38

Almazini, Hussein Fouad. "Bat algorithm optimisation technique for feature selection on different dimension of datasets." Iraqi Journal of Intelligent Computing and Informatics (IJICI) 1, no. 1 (May 6, 2022): 11–21. http://dx.doi.org/10.52940/ijici.v1i1.3.

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The advanced of Information Technology has resulting in the generation of numerous datasets with different dimensions. However, dealing with multi-dimensional datasets which typically contain large number of attributes, p has cause problems to classification process. Classifying different dimensional numerical data is a difficult problem as dealing with various feature spaces, could cause the performance of supervised learning method to suffer from the curse of dimensionality. This condition eventually degrades both classification accuracy and efficiency. In a nutshell, not all attributes in the dataset can be used in the classification process since some features may lead to low performance of classifier. Feature selection (FS) is a good mechanism that minimises the dimensions of high-dimensional datasets and solve classification problems. This paper proposed Bat Algorithm (BA) for FS that were trained using a Support Vector Machine (SVM) classifier. The proposed algorithm was tested on six public datasets with different sizes and compared with other benchmark algorithms, such as Particle Swarm Optimisation (PSO) and Genetic Algorithm (GA). The experimental results indicated that the BA has outperformed the other two algorithms. In addition, the comparison details showed that binary BA is more competitive in terms of accuracy and the number of features when assessed on datasets with different sizes.

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39

Kim, Moo-Sun, Woo Il Lee, Woo-Suck Han, and Alain Vautrin. "Optimisation of location and dimension of SMC precharge in compression moulding process." Computers & Structures 89, no. 15-16 (August 2011): 1523–34. http://dx.doi.org/10.1016/j.compstruc.2011.04.004.

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40

Županović, Dino, Mario Anžek, and Goran Kos. "Optimisation of Signal-controlled Intersection Capacity." PROMET - Traffic&Transportation 22, no. 6 (March 2, 2012): 419–31. http://dx.doi.org/10.7307/ptt.v22i6.207.

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Road traffic safety is a complex system which combines movement of entities in precisely determined space and time dimension. Each of the entities, with their different properties, sets different requirements to road traffic system, including also other entities. Due to the large number of entities and their characteristic requirements, their interaction results in extremely complex relations which determine the behaviour of the road traffic system. The entities are combined according to their common features into certain groups, the movements of which usually result in conflicts. In such situations it is necessary to ensure the movement of a group of entities. This method of insurance necessarily creates negative consequences for all the entities that participate in road traffic system. In order to mitigate as much as possible these consequences, it is necessary to find an adequate method of optimising road traffic system according to a given criterion. The paper uses the results of the analysis of more than 100 road traffic system models and presents the methodology of determining the level of their interconnection. The level of influence of the basic traffic values on the final effect, i.e. the possibility of optimising signal-controlled intersections has been found and described. KEYWORDS: traffic flow, signalized intersection, pretimedsystem, optimization, 2-phase system, 4-phase system, volume-to-capacity, lost time

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Luo, Liangyi, Kohei Ogawa, and Hiroshi Ishiguro. "Identifying Personality Dimensions for Engineering Robot Personalities in Significant Quantities with Small User Groups." Robotics 11, no. 1 (February 14, 2022): 28. http://dx.doi.org/10.3390/robotics11010028.

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Future service robots mass-produced for practical applications may benefit from having personalities. To engineer robot personalities in significant quantities for practical applications, we need first to identify the personality dimensions on which personality traits can be effectively optimised by minimising the distances between engineering targets and the corresponding robots under construction, since not all personality dimensions are applicable and equally prominent. Whether optimisation is possible on a personality dimension depends on how specific users consider the personalities of a type of robot, especially whether they can provide effective feedback to guide the optimisation of certain traits on a personality dimension. The dimensions may vary from user group to user group since not all people consider a type of trait to be relevant to a type of robot, which our results corroborate. Therefore, we had proposed a test procedure as an engineering tool to identify, with the help of a user group, personality dimensions for engineering robot personalities out of a type of robot knowing its typical usage. It applies to robots that can imitate human behaviour and small user groups with at least eight people. We confirmed its effectiveness in limited-scope tests.

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Prusińska, Agnieszka, Krzysztof Szkatuła, and Alexey Tret’yakov. "On the Locally Polynomial Complexity of the Projection-Gradient Method for Solving Piecewise Quadratic Optimisation Problems." Entropy 23, no. 4 (April 15, 2021): 465. http://dx.doi.org/10.3390/e23040465.

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This paper proposes a method for solving optimisation problems involving piecewise quadratic functions. The method provides a solution in a finite number of iterations, and the computational complexity of the proposed method is locally polynomial of the problem dimension, i.e., if the initial point belongs to the sufficiently small neighbourhood of the solution set. Proposed method could be applied for solving large systems of linear inequalities.

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Vega, Emanuel, Ricardo Soto, Broderick Crawford, Javier Peña, and Carlos Castro. "A Learning-Based Hybrid Framework for Dynamic Balancing of Exploration-Exploitation: Combining Regression Analysis and Metaheuristics." Mathematics 9, no. 16 (August 18, 2021): 1976. http://dx.doi.org/10.3390/math9161976.

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The idea of hybrid approaches have become a powerful strategy for tackling several complex optimisation problems. In this regard, the present work is concerned with contributing with a novel optimisation framework, named learning-based linear balancer (LB2). A regression model is designed, with the objective to predict better movements for the approach and improve the performance. The main idea is to balance the intensification and diversification performed by the hybrid model in an online-fashion. In this paper, we employ movement operators of a spotted hyena optimiser, a modern algorithm which has proved to yield good results in the literature. In order to test the performance of our hybrid approach, we solve 15 benchmark functions, composed of unimodal, multimodal, and mutimodal functions with fixed dimension. Additionally, regarding the competitiveness, we carry out a comparison against state-of-the-art algorithms, and the sequential parameter optimisation procedure, which is part of multiple successful tuning methods proposed in the literature. Finally, we compare against the traditional implementation of a spotted hyena optimiser and a neural network approach, the respective statistical analysis is carried out. We illustrate experimental results, where we obtain interesting performance and robustness, which allows us to conclude that our hybrid approach is a competitive alternative in the optimisation field.

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Yousef Al-Qammaz, Abdullah, Farzana Kabir Ahmad, and Yuhanis Yusof. "Social spider optimisation algorithm for dimension reduction of electroencephalogram signals in human emotion recognition." International Journal of Engineering & Technology 7, no. 2.15 (April 6, 2018): 146. http://dx.doi.org/10.14419/ijet.v7i2.15.11373.

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Due to some limitations of current heuristics and evolutionary algorithms, this paper proposed a new swarm based algorithm for feature selection method called Social Spider Optimization (SSO-FS). In this research, SSO-FS is used in the EEG-based emotion recognition model as searching method to find optimal feature set to maximize classification performance and mimics the cooperative behaviour and mechanism of social spiders in nature. This proposed feature selection method has been tested on DEAP EEG dataset with six subjects and compared with the most popular heuristic algorithms such as GA, PSO and ABC. The results show that the SSO-FS provides a remarkable and comparable performance compared to other existing methods. Whereby, the max accuracy obtained is 66.66% and 70.83%, the mean accuracy obtained is 55.51 7.17 and 60.97 8.38 for 3-level of valence emotions and 3-level of arousal emotions classification respectively.

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Yuan, Zhiguo, and Linda L. Blackall. "Sludge population optimisation: a new dimension for the control of biological wastewater treatment systems." Water Research 36, no. 2 (January 2002): 482–90. http://dx.doi.org/10.1016/s0043-1354(01)00230-5.

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Brodzicki, Andrzej, Michał Piekarski, and Joanna Jaworek-Korjakowska. "The Whale Optimization Algorithm Approach for Deep Neural Networks." Sensors 21, no. 23 (November 30, 2021): 8003. http://dx.doi.org/10.3390/s21238003.

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One of the biggest challenge in the field of deep learning is the parameter selection and optimization process. In recent years different algorithms have been proposed including bio-inspired solutions to solve this problem, however, there are many challenges including local minima, saddle points, and vanishing gradients. In this paper, we introduce the Whale Optimisation Algorithm (WOA) based on the swarm foraging behavior of humpback whales to optimise neural network hyperparameters. We wish to stress that to the best of our knowledge this is the first attempt that uses Whale Optimisation Algorithm for the optimisation task of hyperparameters. After a detailed description of the WOA algorithm we formulate and explain the application in deep learning, present the implementation, and compare the proposed algorithm with other well-known algorithms including widely used Grid and Random Search methods. Additionally, we have implemented a third dimension feature analysis to the original WOA algorithm to utilize 3D search space (3D-WOA). Simulations show that the proposed algorithm can be successfully used for hyperparameters optimization, achieving accuracy of 89.85% and 80.60% for Fashion MNIST and Reuters datasets, respectively.

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Fuss, Franz Konstantin. "A Robust Algorithm for Optimisation and Customisation of Fractal Dimensions of Time Series Modified by Nonlinearly Scaling Their Time Derivatives: Mathematical Theory and Practical Applications." Computational and Mathematical Methods in Medicine 2013 (2013): 1–19. http://dx.doi.org/10.1155/2013/178476.

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Standard methods for computing the fractal dimensions of time series are usually tested with continuous nowhere differentiable functions, but not benchmarked with actual signals. Therefore they can produce opposite results in extreme signals. These methods also use different scaling methods, that is, different amplitude multipliers, which makes it difficult to compare fractal dimensions obtained from different methods. The purpose of this research was to develop an optimisation method that computes the fractal dimension of a normalised (dimensionless) and modified time series signal with a robust algorithm and a running average method, and that maximises the difference between two fractal dimensions, for example, a minimum and a maximum one. The signal is modified by transforming its amplitude by a multiplier, which has a non-linear effect on the signal’s time derivative. The optimisation method identifies the optimal multiplier of the normalised amplitude for targeted decision making based on fractal dimensions. The optimisation method provides an additional filter effect and makes the fractal dimensions less noisy. The method is exemplified by, and explained with, different signals, such as human movement, EEG, and acoustic signals.

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Mohamed, Basma, and Mohamed Amin. "A HYBRID OPTIMIZATION ALGORITHMS FOR SOLVING METRIC DIMENSION PROBLEM." International Journal on Applications of Graph Theory In wireless Ad Hoc Networks And sensor Networks 15, no. 1/2 (June 27, 2023): 1–10. http://dx.doi.org/10.5121/jgraphoc.2023.15201.

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In this paper, we consider the NP-hard problem of finding the minimum resolving set of graphs. A vertex set B of a connected graph G resolves G if every vertex of G is uniquely identified by its vector of distances to the vertices in B. The cardinality of the minimal resolving set is the metric dimension of G. The metric dimension appears in various fields such as network discovery and verification, robot navigation, combinatorial optimization and pharmaceutical chemistry, etc. In this study, we introduce a hybrid approach (WCA_WOA) for computing the metric dimension of graphs that combines the water cycle algorithm and a whale optimisation algorithm. The WOA algorithm hybridises the WCA in order to obtain the optimal result and manage the optimization process. The results of the experiments show that the WCA_WOA hybrid algorithm outperforms the WCA, WOA, and particle swarm optimization methods

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Alvandi, Samira, Wen Li, and Sami Kara. "An Integrated Simulation Optimisation Decision Support Tool for Multi-Product Production Systems." Modern Applied Science 11, no. 6 (April 23, 2017): 56. http://dx.doi.org/10.5539/mas.v11n6p56.

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Over the past decades, the rising energy prices and imposing environmental regulations have motivated manufacturers to improve the energy efficiency of their manufacturing processes. Manufacturers need to also consider energy efficiency in addition to classical performance measures. The additional performance dimension (energy-related indicators) significantly increases the complexity of classical production planning problems (e.g. scheduling), already known as NP-hard problem).To overcome the inherited complexity, an integrated simulation-optimization framework is proposed. The proposed approach tackles scheduling problem in a multi-product/multi-machine manufacturing environment and optimizes several production objectives simultaneously. A case study is presented to demonstrate the applicability of the proposed approach in a real-life industrial facility.

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Chate, Ganesh, and A. S. Deshpande. "Optimisation for geometrical dimension of a product using 3D printer based on fused deposition modelling." International Journal of Additive and Subtractive Materials Manufacturing 1, no. 2 (2017): 133. http://dx.doi.org/10.1504/ijasmm.2017.088201.

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