Relevant bibliographies by topics / Hadamard spaces

Academic literature on the topic 'Hadamard spaces'

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Published: 1 June 2024

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Journal articles on the topic "Hadamard spaces":

1

Moslemipour, Ali, Mehdi Roohi, Mohammad Mardanbeigi, and Mahdi Azhini. "Monotone relations in Hadamard spaces." Filomat 33, no. 19 (2019): 6347–58. http://dx.doi.org/10.2298/fil1919347m.

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In this paper, the notion of W-property for subsets of X x X? is introduced and investigated, where X is an Hadamard space and X? is its linear dual space. It is shown that an Hadamard space X is flat if and only if X x X? has W-property. Moreover, the notion of monotone relation from an Hadamard space to its linear dual space is introduced. A characterization result for monotone relations with W-property (and hence in flat Hadamard spaces) is given. Finally, a type of Debrunner-Flor Lemma concerning extension of monotone relations in Hadamard spaces is proved.
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LANG, U., and V. SCHROEDER. "Quasiflats in Hadamard spaces." Annales Scientifiques de l’École Normale Supérieure 30, no. 3 (1997): 339–52. http://dx.doi.org/10.1016/s0012-9593(97)89923-5.

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Hirayama, Michihiro. "Entropy of Hadamard spaces." Topology and its Applications 158, no. 4 (March 2011): 627–35. http://dx.doi.org/10.1016/j.topol.2010.12.011.

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Yakhshiboyev, M. U. "On Boundedness of Fractional Hadamard Integration and Hadamard-Type Integration in LebesgueSpaces with Mixed Norm." Contemporary Mathematics. Fundamental Directions 68, no. 1 (April 20, 2022): 178–89. http://dx.doi.org/10.22363/2413-3639-2022-68-1-178-189.

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In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm. We prove Sobolev-type theorems of boundedness of one-dimensional and multidimensional Hadamard-type fractional integration in weighted Lebesgue spaces with mixed norm.
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Yakhshiboyev, M. U. "On Boundedness of Fractional Hadamard Integration and Hadamard-Type Integration in LebesgueSpaces with Mixed Norm." Contemporary Mathematics. Fundamental Directions 68, no. 1 (April 20, 2022): 178–89. http://dx.doi.org/10.22363/2413-3639-2022-68-1-178-189.

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In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm. We prove Sobolev-type theorems of boundedness of one-dimensional and multidimensional Hadamard-type fractional integration in weighted Lebesgue spaces with mixed norm.
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Berdellima, Arian. "On a weak topology for Hadamard spaces." Sbornik: Mathematics 214, no. 10 (2023): 1373–89. http://dx.doi.org/10.4213/sm9808e.

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We investigate whether the existing notion of weak sequential convergence in Hadamard spaces can be induced by a topology. We provide an affirmative answer in what we call weakly proper Hadamard spaces. Several results from functional analysis are extended to the setting of Hadamard spaces. Our weak topology coincides with the usual one in the case of a Hilbert space. Finally, we compare our topology with other existing notions of weak topologies. Bibliography: 24 titles.
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Wulan, Hasi, and Yanhua Zhang. "Hadamard products and QK spaces." Journal of Mathematical Analysis and Applications 337, no. 2 (January 2008): 1142–50. http://dx.doi.org/10.1016/j.jmaa.2007.04.020.

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Bocci, Cristiano, Enrico Carlini, and Joe Kileel. "Hadamard products of linear spaces." Journal of Algebra 448 (February 2016): 595–617. http://dx.doi.org/10.1016/j.jalgebra.2015.10.008.

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Pavlović, Miroslav. "Hadamard product in Qp spaces." Journal of Mathematical Analysis and Applications 305, no. 2 (May 2005): 589–98. http://dx.doi.org/10.1016/j.jmaa.2004.12.040.

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Alexander, Stephanie B., and Richard L. Bishop. "Warped products of Hadamard spaces." manuscripta mathematica 96, no. 4 (August 1, 1998): 487–505. http://dx.doi.org/10.1007/s002290050078.

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You might also be interested in the extended bibliographies on the topic 'Hadamard spaces' for particular source types:
Journal articles

Dissertations / Theses on the topic "Hadamard spaces":

1

Bërdëllima, Arian [Verfasser]. "Investigations in Hadamard spaces / Arian Bërdëllima." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2021. http://nbn-resolving.de/urn:nbn:de:gbv:7-21.11130/00-1735-0000-0008-58F4-2-2.

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Balser, Andreas. "On the Interplay between the Tits Boundary and the Interior of Hadamard Spaces." Diss., lmu, 2006. http://nbn-resolving.de/urn:nbn:de:bvb:19-59715.

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Lorson, Tobias [Verfasser], and Jürgen [Akademischer Betreuer] Müller. "Hadamard convolution operators on spaces of holomorphic functions / Tobias Lorson ; Betreuer: Jürgen Müller." Trier : Universität Trier, 2014. http://d-nb.info/1197699708/34.

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Montag, Martin J. [Verfasser], and Gabriele [Akademischer Betreuer] Steidl. "Convex Analysis for Processing Hyperspectral Images and Data from Hadamard Spaces / Martin J. Montag ; Betreuer: Gabriele Steidl." Kaiserslautern : Technische Universität Kaiserslautern, 2017. http://d-nb.info/1132582199/34.

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Jerhaoui, Othmane. "Viscosity theory of first order Hamilton Jacobi equations in some metric spaces." Electronic Thesis or Diss., Institut polytechnique de Paris, 2022. http://www.theses.fr/2022IPPAE016.

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La première partie de cette thèse est consacrée à l'étude d'une équation de Hamilton Jacobi Bellman discontinue, définie sur une stratification de R^N. Cette dernière est le résultat d'une union d'une collection finie de sous-variétés lisses et disjointes de R^N, que l'on nomme les sous-domaines. Sur chaque sous-domaine, un Hamiltonien continue y est définie. Cependant, le Hamiltonien global sur R^N présente des discontinuités lorsque l'on passe d'un sous-domaine à l'autre. On donne une interprétation commande optimale de ce problème et on utilise les techniques de l'analyse non lisse pour montrer que la fonction valeur est l'unique solution de viscosité de l'équation de Hamilton Jacobi Bellman définie dans ce chapitre. L'unicité de la solution est garantie par un principe de comparaison fort, valable pour toute sur-solution semicontinue inférieurement et toute sous-solution semicontinue supérieurement. En ce qui concerne l’existence de la solution, on utilise le principe de la programmation dynamique vérifiée par la fonction valeur pour montrer que cette dernière est une solution de viscosité du problème considéré. De plus, on prouve quelques résultats de stabilité en présence de perturbations sur le Hamiltonien discontinu. Finalement, en vertu du principe de comparaison, on montre un résultat de convergence général pour les schémas numériques monotones qui approchent ce problème.La deuxième partie de cette thèse est consacrée au développement d'une nouvelle notion de viscosité pour les équations de Hamilton Jacobi du premier ordre définies sur les espaces CAT(0) propres. Un espace métrique est dit CAT(0), s'il est un espace géodésique et si ses triangles géodésiques sont plus minces que les triangles du plan Euclidien. Les espaces CAT(0) peuvent être considérés comme une généralisation des espaces de Hilbert ou les variétés de Hadamad. Des exemples types des espaces CAT(0) sont les espaces de Hilbert, les arbres métriques et les networks obtenus en collant un nombre fini de demi-espaces selon leur frontière commune. On exploite la structure de ces espaces pour étudier les équations de Hamilton Jacobi du premier ordre stationnaires et dépendantes du temps. En particulier, le but du chapitre est de retrouver les principaux résultats de la théorie de la viscosité : le principe de comparaison et la méthode de Perron. On définit la notion de viscosité en utilisant des fonctions test qui sont Lipschitz et qui peuvent être représentées comme une différence de deux fonctions semiconvexes. On montre que cette notion de viscosité coïncide avec la notion classique développée sur R^N en étudiant quelques exemples d'équations classiques. De surcroît, on prouve l'existence et l'unicité de la solution de certaines équations du type Eikonal posées sur des networks qui peuvent résulter du collage de demi-espaces ayant différentes dimensions de Hausdorff.La troisième partie de la thèse se focalise sur l'étude d'un problème de commande optimale de Mayer sur l'espace des mesures Boréliennes de probabilité sur une variété compacte M. L'étude de ce problème est motivé par certaines situations où un planificateur central d'un système contrôlé n'a qu'une information imparfaite sur l'état initiale du système considéré. Le manque d'information est spécifique dans ce problème. Il est décrit par une mesure de probabilité Borélienne selon laquelle l'état initial est distribué. On définit la notion de viscosité sur cet espaces de la même manière que dans la deuxième partie de la thèse en considérant des fonctions test qui sont Lipschitz et qui peuvent être représentées par une différence de deux fonctions semiconvexes. Avec ce choix de fonctions test, on étend la notion de viscosité aux équations de Hamilton Jacobi Bellman définies sur l'espace de Wasserstein et on établit que la fonction valeur associée au problème de commande optimale et l'unique solution de viscosité sur l'espace de Wasserstein sur M
The main subject of this thesis is the study first order Hamilton Jacobi equations posed in certain classes of metric spaces. Furthermore, the Hamiltonian of these equations can potentially present some structured discontinuities.In the first part of this thesis, we study a discontinuous first order Hamilton Jacobi Bellman equation defined on a stratification of R^N. The latter is a finite and disjoint union of smooth submanifolds of R^N called the the subdomains of R^N. On each subdomain, a continuous Hamiltonian is defined on it, However the global Hamiltonian in R^N presents discontinuities once one goes from one subdomain to the other. We give an optimal control interpretation of this problem and we use nonsmooth analysis techniques to prove that the value function is the unique viscosity solution to the discontinuous Hamilton Jacobi Bellman equation in this setting. The uniqueness of the solution is guaranteed by means of a strong comparison principle valid for any lower semicontinuous supersolution and any upper semicontinuous subsolution. As far as existence of the solution is concerned, we use the dynamic programming principle verified by the value function to prove that it is a viscosity solution of the discontinuous Hamilton Jacobi equation. Moreover, we prove some stability results in the presence of perturbations on the discontinuous Hamiltonian. Finally, by virtue of the comparison principle, we prove a general convergence result of monotone numerical schemes approximating this problem.The second part of this thesis is concerned with defining a novel notion of viscosity for first order Hamilton Jacobi equations defined in proper CAT(0) spaces. A metric space is said to be a CAT(0) space if, roughly speaking, it is a geodesic space and its geodesic triangles are "thinner" than the triangles of the Euclidean plane. They can be seen as a generalization of Hilbert spaces or Hadamard manifolds. Typical examples of CAT(0) spaces include Hilbert spaces, metric trees and networks obtained by gluing a finite number of half-spaces along their common boundary. We exploit the additional structure that these spaces enjoy to study stationary and time-dependent first order Hamilton-Jacobi equation in them. In particular, we want to recover the main features of viscosity theory: the comparison principle and Perron's method}.We define the notion of viscosity using test functions that are Lipschitz and can be represented as a difference of two semiconvex function. We show that this new notion of viscosity coincides with the classical one in R^N by studying the examples of Hamilton Jacobi Bellman and Hamilton Jacobi Isaacs' equations. Furthermore, we prove existence and uniqueness of the solution of Eikonal type equations posed in networks that can result from gluing half-spaces of different Hausdorff dimension.In the third part of this thesis, we study a Mayer optimal control problem on the space of Borel probability measures over a compact Riemannian manifold M. This is motivated by certain situations where a central planner of a deterministic controlled system has only imperfect information on the initial state of the system. The lack of information here is very specific. It is described by a Borel probability measure along which the initial state is distributed. We define the new notion of viscosity in this space in a similar manner as in the previous part by taking test functions that are Lipschitz and can be written as a difference of two semiconvex functions. With this choice of test functions, we extend the notion of viscosity to Hamilton Jacobi Bellman equations in Wasserstein spaces and we establish that the value function is the unique viscosity solution of a Hamilton Jacobi Bellman equation in the Wasserstein space over M
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Cacais, Nieto Félix. "Compactificações diferenciáveis em espaços simétricos de tipo não compacto." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/159602.

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Neste trabalho estudaremos alguns resultados propostos por Benoit Kloe kner [Kl2] em sua tese de doutorado. Apresentamos prin ipalmente a prova da não-existência de compactificações diferenciáveis de Hadamard em espaços simétri os de tipo não- ompa to de posto k ≥ 2.
In this dissertation we will study some results proposed by Benoit Kloe kner [Kl2] in his do toral thesis. We mainly present the proof of non-existen e of diferentiable Hadamard compactific ations in symmetric spaces of non compact type of rank ≥ 2.
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LIU, Jia-Qian, and 劉家騫. "Viscosity approximations with contractions in Hadamard spaces." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/83306164480387552879.

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Abstract:
碩士
國立東華大學
應用數學系
104
In this thesis, I study Moudafi viscosity approximations from the paper [S. Huang, Viscosity approximations with weak contractions in geodesic metric spaces of nonpositive curvature, Journal of Nonlinear and Convex Analysis, 2016] under the supervision of my advisor, Professor Shuechin Huang. We first establish the results about Browder and Halpern type convergence theorems and then extend those results to Moudafi viscosity approximations by invoking NST conditions in a CAT(0) space. We also use matlab to plot the graphs of some examples over main theorems in the Euclidean space.
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Kikianty, Eder. "Hermite-Hadamard inequality in the geometry of banach spaces." Thesis, 2010. https://vuir.vu.edu.au/15793/.

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The theory of inequalities has made significant contributions in many areas of mathematics. The purpose of this dissertation is to employ inequalities in studying the geometry of a Banach space. Motivated by the Hermite-Hadamard inequality, a new family of norms is defined, which is called the p-HH-norm. The research outcomes of this thesis make significant contributions in Banach space theory, the theory of means and the theory of inequalities. These contributions including the characterization of inner product spaces via orthogonality; the extension of means of positive numbers to a vector space setting; and the developments of some important inequalities, namely the Hermite-Hadamard inequality, Ostrowski inequality and Gruss inequality in linear spaces.
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Balser, Andreas [Verfasser]. "On the interplay between the Tits boundary and the interior of Hadamard spaces / von Andreas Balser." 2006. http://d-nb.info/981950485/34.

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Wrochna, Michal. "Singularities of two-point functions in Quantum Field Theory." Doctoral thesis, 2013. http://hdl.handle.net/11858/00-1735-0000-0001-BB3C-E.

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Books on the topic "Hadamard spaces":

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Bačák, Miroslav. Convex analysis and optimization in Hadamard spaces. Berlin: Walter de Gruyter GmbH & Co. KG, 2014.

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Bacak, Miroslav. Convex Analysis and Optimization in Hadamard Spaces. de Gruyter GmbH, Walter, 2014.

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Bacak, Miroslav. Convex Analysis and Optimization in Hadamard Spaces. de Gruyter GmbH, Walter, 2014.

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Book chapters on the topic "Hadamard spaces":

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Guirao, Antonio José, Vicente Montesinos, and Václav Zizler. "Weak Hadamard differentiability." In Renormings in Banach Spaces, 373–76. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08655-7_35.

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Roth, Ron M. "Spectral-null codes and null spaces of Hadamard submatrices." In Algebraic Coding, 141–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/3-540-57843-9_15.

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Abbas, Saïd, Mouffak Benchohra, and Johnny Henderson. "Partial Hadamard-Stieltjes Fractional Integral Equations in Banach Spaces." In Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness, 375–91. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3722-1_9.

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Kimura, Yasunori. "The Shrinking Projection Method and Resolvents on Hadamard Spaces." In Indian Statistical Institute Series, 131–39. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3059-9_7.

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Vedel, Yana, and Vladimir Semenov. "Adaptive Extraproximal Algorithm for the Equilibrium Problem in Hadamard Spaces." In Optimization and Applications, 287–300. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-62867-3_21.

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Tupker, Quinten, Salem Said, and Cyrus Mostajeran. "Online Learning of Riemannian Hidden Markov Models in Homogeneous Hadamard Spaces." In Lecture Notes in Computer Science, 37–44. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80209-7_5.

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Suryawanshi, Vaishali, Tanuja Sarode, Nimit Jhunjhunwala, and Hamza Khan. "Evaluating Image Data Augmentation Technique Utilizing Hadamard Walsh Space for Image Classification." In Proceedings in Adaptation, Learning and Optimization, 290–301. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-31164-2_24.

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Kaaviya, Ponharieesh Krishnakumar, Rajakumaran Jayaraman, and Sakthi Dinesh Pounraj. "Texture Segmentation Using Gabor Filter And hadamard Transform With Small Space Analysis, Texture Frequency, Non-Linear Filtering, And Postprocessing." In Advances in Computer Science Research, 101–7. Dordrecht: Atlantis Press International BV, 2023. http://dx.doi.org/10.2991/978-94-6463-250-7_19.

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"7 Probabilistic tools in Hadamard spaces." In Convex Analysis and Optimization in Hadamard Spaces, 139–57. De Gruyter, 2014. http://dx.doi.org/10.1515/9783110361629.139.

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"3 Weak convergence in Hadamard spaces." In Convex Analysis and Optimization in Hadamard Spaces, 58–68. De Gruyter, 2014. http://dx.doi.org/10.1515/9783110361629.58.

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Conference papers on the topic "Hadamard spaces":

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"Hadamard type operators in spaces of holomorphic functions." In Уфимская осенняя математическая школа - 2022. Т.1. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh1t-2022-09-28.40.

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Mendel, Manor, and Assaf Naor. "Expanders with respect to Hadamard spaces and random graphs." In ITCS'14: Innovations in Theoretical Computer Science. New York, NY, USA: ACM, 2014. http://dx.doi.org/10.1145/2554797.2554829.

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Chen, Yi-chao, and Lewis T. Wheeler. "Stability of Elastic Half-Spaces by an Energy Method." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0941.

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Abstract An energy stability criterion is used to study the stability of deformations of a compressible elastic half-space. A minimization problem is formulated in an unbounded domain, and the first and second variation conditions are derived for this problem. Algebraic stability conditions are derived for general compressible isotropic materials, as well as for neo-Hookean class of Hadamard materials.
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Zhu, Guijing, Long Ma, Xin Fan, and Risheng Liu. "Hierarchical Bilevel Learning with Architecture and Loss Search for Hadamard-based Image Restoration." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. California: International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/245.

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In the past few decades, Hadamard-based image restoration problems (e.g., low-light image enhancement) attract wide concerns in multiple areas related to artificial intelligence. However, existing works mostly focus on heuristically defining architecture and loss by the engineering experiences that came from extensive practices. This way brings about expensive verification costs for seeking out the optimal solution. To this end, we develop a novel hierarchical bilevel learning scheme to discover the architecture and loss simultaneously for different Hadamard-based image restoration tasks. More concretely, we first establish a new Hadamard-inspired neural unit to aggregate domain knowledge into the network design. Then we model a triple-level optimization that consists of the architecture, loss and parameters optimizations to deliver a macro perspective for network learning. Then we introduce a new hierarchical bilevel learning scheme for solving the built triple-level model to progressively generate the desired architecture and loss. We also define an architecture search space consisting of a series of simple operations and an image quality-oriented loss search space. Extensive experiments on three Hadamard-based image restoration tasks (including low-light image enhancement, single image haze removal and underwater image enhancement) fully verify our superiority against state-of-the-art methods.
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Ouyang, Xing, Guiyue Jin, Jiyu Jin, and Zhisen Wang. "Walsh-Hadamard-Fourier transform based OFDM with space-multipath diversity." In TENCON 2013 - 2013 IEEE Region 10 Conference. IEEE, 2013. http://dx.doi.org/10.1109/tencon.2013.6718853.

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Baro, Mohan, and Jacek Ilow. "Space-Time Block Codes Based on Diagonalized Walsh-Hadamard Transform with Simple Decoupling." In 2010 IEEE Vehicular Technology Conference (VTC 2010-Fall). IEEE, 2010. http://dx.doi.org/10.1109/vetecf.2010.5594147.

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Elganimi, Taissir Y., and Marwan B. Elkhoja. "Improved Orthogonal Space-Time Block Codes with Multiple Transmit Antennas Using Hadamard Transform." In 2019 6th International Conference on Electrical and Electronics Engineering (ICEEE). IEEE, 2019. http://dx.doi.org/10.1109/iceee2019.2019.00040.

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Burrell, Derek J., and Christopher T. Middlebrook. "Performance analysis of stationary Hadamard matrix diffusers in free-space optical communication links." In Laser Communication and Propagation through the Atmosphere and Oceans VI, edited by Alexander M. van Eijk, Stephen M. Hammel, and Jeremy P. Bos. SPIE, 2017. http://dx.doi.org/10.1117/12.2273554.

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Porto, M. S., T. L. da Silva, R. E. C. Porto, L. V. Agostini, I. V. da Silva, and S. Bampi. "Design space exploration on the H.264 4/spl times/4 Hadamard transform." In 2005 NORCHIP. IEEE, 2005. http://dx.doi.org/10.1109/norchp.2005.1597021.

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Zhu, Jie, Han Hai, Shuai Wang, and Ping Wang. "A Novel Generalized Butson-type Hadamard Matrix-Aided Space Shift Keying Modulation Scheme." In 2019 IEEE 2nd International Conference on Automation, Electronics and Electrical Engineering (AUTEEE). IEEE, 2019. http://dx.doi.org/10.1109/auteee48671.2019.9033387.

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