Relevant bibliographies by topics / Problème inverse

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Academic literature on the topic 'Problème inverse'

Author: Grafiati
Published: 4 June 2021
Last updated: 9 November 2024

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Journal articles on the topic "Problème inverse"

1

Loukianov, Oleg. "Application du prolongement analytique au probl�me inverse du potentiel." Potential Analysis 2, no. 4 (December 1993): 387–400. http://dx.doi.org/10.1007/bf01049396.

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Ren, ChunPing, NengJian Wang, and ChunSheng Liu. "Identification of Random Dynamic Force Using an Improved Maximum Entropy Regularization Combined with a Novel Conjugate Gradient." Mathematical Problems in Engineering 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/9125734.

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We propose a novel mathematical algorithm to offer a solution for the inverse random dynamic force identification in practical engineering. Dealing with the random dynamic force identification problem using the proposed algorithm, an improved maximum entropy (IME) regularization technique is transformed into an unconstrained optimization problem, and a novel conjugate gradient (NCG) method was applied to solve the objective function, which was abbreviated as IME-NCG algorithm. The result of IME-NCG algorithm is compared with that of ME, ME-CG, ME-NCG, and IME-CG algorithm; it is found that IME-NCG algorithm is available for identifying the random dynamic force due to smaller root mean-square-error (RMSE), lower restoration time, and fewer iterative steps. Example of engineering application shows that L-curve method is introduced which is better than Generalized Cross Validation (GCV) method and is applied to select regularization parameter; thus the proposed algorithm can be helpful to alleviate the ill-conditioned problem in identification of dynamic force and to acquire an optimal solution of inverse problem in practical engineering.
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Loukianov, O. Y. "Probl�me inverse de la th�orie du potentiel logarithmique pour les lemniscates." Potential Analysis 1, no. 4 (December 1992): 337–41. http://dx.doi.org/10.1007/bf00301786.

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Menh, Nguyen Cao, and Tran Trong Toan. "Determination of beam characteristics by its vibration measurement." Vietnam Journal of Mechanics 17, no. 3 (September 30, 1995): 27–38. http://dx.doi.org/10.15625/0866-7136/10136.

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On the basis of analyzing the transverse vibration of a clamped-free beam, in this paper an inverse problem is investigated. The analytical method· and computational program me have been presented for determination of the length of the beam when vibrations at some points on the beam with external distribution excitation or vibration at one point with some excited frequencies are measured. The obtained results from the illustration examples described in the paper give us the procedure for selecting one solution in multi-solution inverse problem.
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Bal, Guillaume, Ruoming Gong, and Fatma Terzioglu. "An inversion algorithm for P-functions with applications to multi-energy CT." Inverse Problems 38, no. 3 (February 7, 2022): 035011. http://dx.doi.org/10.1088/1361-6420/ac4d0a.

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Abstract Multi-energy computed tomography (ME-CT) is an x-ray transmission imaging technique that uses the energy dependence of x-ray photon attenuation to determine the elemental composition of an object of interest. Mathematically, forward ME-CT measurements are modeled by a nonlinear integral transform. In this paper, local conditions for global invertibility of the ME-CT transform are studied, and explicit stability estimates quantifying the error propagation from measurements to reconstructions are provided. Motivated from the inverse problem of image reconstruction in ME-CT, an iterative inversion algorithm for the so-called P-functions is proposed. Numerical simulations for ME-CT, in two and three materials settings with an equal number of energy measurements, confirm the theoretical predictions.
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Tillieu, Jacques, and Augustin Van Groenendael. "Usage de l'alg�bre de lie SU(n) dans l'etude des syst�mes quantiques an etats. VII: Sur le ?probl�me inverse?" International Journal of Quantum Chemistry 35, no. 2 (February 1989): 331–37. http://dx.doi.org/10.1002/qua.560350210.

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7

Montenery, Susan. "Problem-Based Learning for Didactic Presentation to Baccalaureate Nursing Students." Creative Nursing 23, no. 2 (2017): 102–11. http://dx.doi.org/10.1891/1078-4535.23.2.102.

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Nursing judgment is an essential component in the delivery of safe, quality patient care. Nurses must have the knowledge and skills to question authority, make judgments, substantiate evidence, and advocate for the patient. Traditional pedagogy in content-laden courses remains primarily lecture based. Incorporating active strategies to strengthen professional practice is essential. A pilot study assessed senior baccalaureate nursing students’ perceptions of problem-based learning (PBL) and their readiness for self-directed learning. In addition, the authors analyzed the relationship between readiness for self-directed learning and course content mastery using PBL. Students completed the Self-directed Learning Readiness Scale, the Problem-Based Learning Environment Inventory, and course content mastery exams. Students reported positive experiences with PBL and readiness for self-directed learning. Readiness for self-directed learning and 2 of 5 exam scores were inversely, significantly related. Students’ perceptions of their readiness for self-directed learning did not always correspond with course content mastery. Specifically, some students who perceived themselves as ready for self-directed learning did not perform well on course content exams. This inverse relationship has not been reported by other researchers and brings an interesting perspective to student perceptions and actual performance. Four themes emerged from students’ narrative responses: Prepared Me for Real Life Professional Situations, Stimulated My Critical Thinking, Promoted Independent Problem Solving, and Supported Learning Retention. PBL as a pedagogical approach provides opportunities for nursing students to explore their professional independence while attempting to master content.
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Benslama, Abderraouf, Kamel Khanchoul, Fouzi Benbrahim, Sana Boubehziz, Faredj Chikhi, and Jose Navarro-Pedreño. "Monitoring the Variations of Soil Salinity in a Palm Grove in Southern Algeria." Sustainability 12, no. 15 (July 29, 2020): 6117. http://dx.doi.org/10.3390/su12156117.

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Soil salinity is considered the most serious socio-economic and environmental problem in arid and semi-arid regions. This study was done to estimate the soil salinity and monitor the changes in an irrigated palm grove (42 ha) that produces dates of a high quality. Topsoil samples (45 points), were taken during two different periods (May and November), the electrical conductivity (EC) and Sodium Adsorption Ratio (SAR) were determined to assess the salinity of the soil. The results of the soil analysis were interpolated using two geostatistical methods: inverse distance weighting (IDW) and ordinary Kriging (OK). The efficiency and best model of these two methods was evaluated by calculating the mean error (ME) and root mean square error (RMSE), showing that the ME of both interpolation methods was satisfactory for EC (−0.003, 0.145) and for SAR (−0.03, −0.18), but the RMSE value was lower using the IDW with both data and periods. This can explain the accuracy of the IDW interpolation method. This model showed a dominance of soil salinity distribution in the South and South-East of the study area during the first season, and for the second season, the salts were concentrated in the middle of the area. Several factors could interact in this variation such as the topographic direction of the water flow and the aridity of the climate (evaporation). From this study emerges the need to maintain a better management of agricultural water and soils, avoiding salt accumulation, to ensure a good yield and the sustainability of agriculture in arid environments.
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Maddy, Penelope. "Mathematical Existence." Bulletin of Symbolic Logic 11, no. 3 (September 2005): 351–76. http://dx.doi.org/10.2178/bsl/1122038992.

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Despite some discomfort with this grandly philosophical topic, I do in fact hope to address a venerable pair of philosophical chestnuts: mathematical truth and existence. My plan is to set out three possible stands on these issues, for an exercise in compare and contrast. A word of warning, though, to philosophical purists (and perhaps of comfort to more mathematical readers): I will explore these philosophical positions with an eye to their interconnections with some concrete issues of set theoretic method.Let me begin with a brief look at what to count as ‘philosophy’. To some extent, this is a matter of usage, and mathematicians sometimes classify as ‘philosophical’ any considerations other than outright proofs. So, for example, discussions of the propriety of particular mathematical methods would fall under this heading: should we prefer analytic or synthetic approaches in geometry? Should elliptic functions be treated in terms of explicit representations (as in Weierstrass) or geometrically (as in Riemann)? Should we allow impredicative definitions? Should we restrict ourselves to a logic without bivalence or the law of the excluded middle? Also included in this category would be the trains of thought that shaped our central concepts: should a function always be defined by a formula? Should a group be required to have an inverse for every element? Should ideal divisors be defined contextually or explicitly, treated computationally or abstractly? In addition, there are more general questions concerning mathematical values, aims and goals: Should we strive for powerful theories or low-risk theories? How much stress should be placed on the fact or promise of physical applications? How important are interconnections between the various branches of mathematics? These philosophical questions of method naturally include several peculiar to set theory: should set theorists focus their efforts on drawing consequences for areas of interest to mathematicians outside mathematical logic? Should exploration of the standard axioms of ZFC be preferred to the exploration and exploitation of new axioms? How should axioms for set theory be chosen? What would a solution to the Continuum Problem look like?
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Gangopadhyay, Aalok, Paras Gupta, Tarun Sharma, Prajwal Singh, and Shanmuganathan Raman. "Search Me Knot, Render Me Knot: Embedding Search and Differentiable Rendering of Knots in 3D." Computer Graphics Forum, July 31, 2024. http://dx.doi.org/10.1111/cgf.15138.

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AbstractWe introduce the problem of knot‐based inverse perceptual art. Given multiple target images and their corresponding viewing configurations, the objective is to find a 3D knot‐based tubular structure whose appearance resembles the target images when viewed from the specified viewing configurations. To solve this problem, we first design a differentiable rendering algorithm for rendering tubular knots embedded in 3D for arbitrary perspective camera configurations. Utilizing this differentiable rendering algorithm, we search over the space of knot configurations to find the ideal knot embedding. We represent the knot embeddings via homeomorphisms of the desired template knot, where the weights of an invertible neural network parametrize the homeomorphisms. Our approach is fully differentiable, making it possible to find the ideal 3D tubular structure for the desired perceptual art using gradient‐based optimization. We propose several loss functions that impose additional physical constraints, enforcing that the tube is free of self‐intersection, lies within a predefined region in space, satisfies the physical bending limits of the tube material, and the material cost is within a specified budget. We demonstrate through results that our knot representation is highly expressive and gives impressive results even for challenging target images in both single‐view and multiple‐view constraints. Through extensive ablation study, we show that each proposed loss function effectively ensures physical realizability. We construct a real‐world 3D‐printed object to demonstrate the practical utility of our approach.
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Book chapters on the topic "Problème inverse"

1

Chan, Raymond H., Chen Greif, and Dianne P. O’Leary. "(With C. De Boor)." In Milestones In Matrix Computation: Selected Works Of Gene H. Golub, With Commentaries, 546–62. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199206810.003.0030.

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Abstract This was a fun paper to work on. Gene had come to the Mathematics Research Center (MRC) in Madison, WI, in May of 1976 (giving Gene the pleasure to write in the paper’s acknowledgements of having been a “guest worker” there) to work with Paul Concus, had recently talked with Victor Barcilon about the inverse eigenvalue problem for 5-diagonal matrices, and must have given a talk about the general problem, with stress on tridiagonal matrices. I became intrigued since Gene mentioned some unsolved problems and I had recently gone through, jointly with Allan Pinkus, Gantmakher and Krein’s “Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme”, hence felt at home with Jacobi matrices and the power of Sylvester’s determinant identity (which, so Allan had taught me, is the only determinant identity one really needs, other than Cauchy–Binet).
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Elishakoff, Isaac, and Yongjian Ren. "The FEM for stochastic structures based on the exact inverse of the stiffness matrix." In Finite Element Methods for Structures with Large Stochastic Variations, 47–93. Oxford University PressOxford, 2003. http://dx.doi.org/10.1093/oso/9780198526315.003.0004.

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Abstract You addressed to me a question of whether inverse stiffness matrix of say, finite element static problems, has ever been calculated analytically. Of course this HAS been done for single elements and occasionally for small assemblies, but never for any significant problems— O. C. Zienkiewicz (1993). Deflections of structures depend on the material properties—e.g. stiffness or equivalently flexibilities. These properties may be given in terms of random fields. Since these fields are the reciprocal of one another they essentially hold the same information about the random variation of material properties. However, a discretization of a stiffness field and a discretization of its corresponding flexibility field do not necessarily give equivalent representations of the material properties. Hence one is met with the problem of choosing among different formulations: which one will be the best in a given sense?—N. J. Tarp-Johansen and O. Ditlevsen (1997).
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Chan, Raymond H., Chen Greif, and Dianne P. O’Leary. "An analysis of the total least squares problem (withC. Van Loan)." In Milestones In Matrix Computation: Selected Works Of Gene H. Golub, With Commentaries, 213–26. Oxford University PressOxford, 2007. http://dx.doi.org/10.1093/oso/9780199206810.003.0015.

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Abstract This paper is included in this volume and was a thrill of read back in 1973 when I had just completed graduate school. Privately, I have always called the paper ‘Look How Far You Can Run with QR, SVD, and Schur’, a title that reminds me of Gene’s uncanny ability to turn difficult problems into tractable ones with elegant solutions. Gene’s SIREV paper is filled with ideas that kept the whole field busy for years: generalized eigenproblems, inverse eigenproblems, rank-1 modified eigenproblems, and of course, total least squares (TLS). TLS is there as an example of an eigenproblem that is buried inside a least squares problem and the paper we wrote was one of several that we did during the production of the first edition of our book.
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4

Thau, Michael. "Spectrum Inversion." In Consciousness and Cognition, 13–48. Oxford University PressNew York, NY, 2002. http://dx.doi.org/10.1093/oso/9780195141818.003.0002.

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Abstract There is a well-known philosophical problem concerning spectrum inversion. One way to put the problem is roughly as follows. Suppose, as is probably the case, that you and I generally apply the same color terms to the same sorts of things: we both agree that grass is appropriately called green, the sky is appropriately called blue, etc. But suppose further that our apparent agreement about the application of color terms masks the fact that I am spectrally inverted with respect to you: red things look to you the way green things look to me and vice versa, yellow things look to you the way blue things look to me and vice versa, etc.
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