Relevant bibliographies by topics / Inverse linear model

Academic literature on the topic 'Inverse linear model'

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Published: 25 May 2024

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Contents

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

Journal articles on the topic "Inverse linear model":

1

BERNARD, James, and Mark PICKELMANN. "An Inverse Linear Model of a Vehicle." Vehicle System Dynamics 15, no. 4 (January 1986): 179–86. http://dx.doi.org/10.1080/00423118608968850.

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Zhanatauov, S. U. "INVERSE MODEL OF MULTIPLE LINEAR REGRESSION ANALYSIS." Theoretical & Applied Science 60, no. 04 (April 30, 2018): 201–12. http://dx.doi.org/10.15863/tas.2018.04.60.38.

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Borneman, Joshua, Kuo-Ping Chen, Alex Kildishev, and Vladimir Shalaev. "Simplified model for periodic nanoantennae: linear model and inverse design." Optics Express 17, no. 14 (June 25, 2009): 11607. http://dx.doi.org/10.1364/oe.17.011607.

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Ayala, A., M. Loewe, and R. Zamora. "Inverse magnetic catalysis in the linear sigma model." Journal of Physics: Conference Series 720 (May 2016): 012026. http://dx.doi.org/10.1088/1742-6596/720/1/012026.

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Fang, Ximing. "A hybrid regularization model for linear inverse problems." Filomat 36, no. 8 (2022): 2739–48. http://dx.doi.org/10.2298/fil2208739f.

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For the ill-posed linear inverse problem, we propose a hybrid regularization model, which possesses the characters of Tikhonov regularization and TV regularization to some extent. Through transformation, the hybrid regularization is reformulated as an equivalent minimization problem. To solve the minimization problem, we present two modified iterative shrinkage-thresholding algorithms (MISTA) based on the fast iterative shrinkage-thresholding algorithm (FISTA) and the iterative shrinkagethresholding algorithm (ISTA). The numerical experiments are performed to show the effectiveness and superiority of the regularization model and the presented algorithms.
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Hansen, Thomas Mejer, Andre G. Journel, Albert Tarantola, and Klaus Mosegaard. "Linear inverse Gaussian theory and geostatistics." GEOPHYSICS 71, no. 6 (November 2006): R101—R111. http://dx.doi.org/10.1190/1.2345195.

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Inverse problems in geophysics require the introduction of complex a priori information and are solved using computationally expensive Monte Carlo techniques (where large portions of the model space are explored). The geostatistical method allows for fast integration of complex a priori information in the form of covariance functions and training images. We combine geostatistical methods and inverse problem theory to generate realizations of the posterior probability density function of any Gaussian linear inverse problem, honoring a priori information in the form of a covariance function describing the spatial connectivity of the model space parameters. This is achieved using sequential Gaussian simulation, a well-known, noniterative geostatisticalmethod for generating samples of a Gaussian random field with a given covariance function. This work is a contribution to both linear inverse problem theory and geostatistics. Our main result is an efficient method to generate realizations, actual solutions rather than the conventional least-squares-based approach, to any Gaussian linear inverse problem using a noniterative method. The sequential approach to solving linear and weakly nonlinear problems is computationally efficient compared with traditional least-squares-based inversion. The sequential approach also allows one to solve the inverse problem in only a small part of the model space while conditioned to all available data. From a geostatistical point of view, the method can be used to condition realizations of Gaussian random fields to the possibly noisy linear average observations of the model space.
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Cho, Jeong-Mok, Bong-Soo Yoo, and Joong-Seon Joh. "A Fuzzy Skyhook Algorithm Using Piecewise Linear Inverse Model." International Journal of Fuzzy Logic and Intelligent Systems 6, no. 3 (September 1, 2006): 190–96. http://dx.doi.org/10.5391/ijfis.2006.6.3.190.

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Zhou, Huilin, Tao Ouyang, Yadan Li, Jian Liu, and Qiegen Liu. "Linear-Model-Inspired Neural Network for Electromagnetic Inverse Scattering." IEEE Antennas and Wireless Propagation Letters 19, no. 9 (September 2020): 1536–40. http://dx.doi.org/10.1109/lawp.2020.3008720.

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Penland, Cécile, and Ludmila Matrosova. "Expected and Actual Errors of Linear Inverse Model Forecasts." Monthly Weather Review 129, no. 7 (July 2001): 1740–45. http://dx.doi.org/10.1175/1520-0493(2001)129<1740:eaaeol>2.0.co;2.

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Jiang, Wen, Yi Xin Su, and Dan Hong Zhang. "Research on Inverse Control of Active Magnetic Bearing Based on Fuzzy Inverse Model." Applied Mechanics and Materials 575 (June 2014): 744–48. http://dx.doi.org/10.4028/www.scientific.net/amm.575.744.

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For magnetic bearing system with characteristics of zero damping, negative stiffness and nonlinearity, this paper put forward a method of inverse control based on the fuzzy inverse model. The fuzzy system with fuzzifier and defuzzifier was used as an interpolator to approximate the inverse model of magnetic bearing. Then we connected the fuzzy inverse model in series with the magnetic bearing system to form a generalized pseudo linear plant, and selected a PID controller to control the pseudo linear plant. The fuzzy inverse model and the PID controller together formed an inverse controller to implement the closed-loop inverse control of the system. The simulation results demonstrate that the inverse control can reduce the overshoot, shorten the settling time, and make the rotor levitate in a larger range.
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Journal articles Dissertations / Theses

Dissertations / Theses on the topic "Inverse linear model":

1

Goudenege, Guillaume. "Développement de modèles d'optimisation de flux en logistique inverse : Applications aux contenants réutilisables." Thesis, Châtenay-Malabry, Ecole centrale de Paris, 2013. http://www.theses.fr/2013ECAP0014.

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Dans un monde industriel marqué par un contexte économique difficile, les entreprises se doivent d’étudier toutes les possibilités de réduction de coûts et d’optimisation de leur chaîne logistique. Un des champs récents d’optimisation développé dans la littérature concerne le concept de logistique inverse. Cette logistique représente la gestion des flux traversant une chaîne logistique dans le sens inverse des flux traditionnels. On y retrouve des activités liées au recyclage, à la réparation ou encore à la réutilisation de produits. Au sein de la Chaire Supply Chain, nous nous sommes donc intéressés à l’optimisation de la gestion de ces flux de retours, avec les contenants réutilisables comme objet d’étude intéressant pour nos différents partenaires. Dans ce sens, après avoir passé en revue la littérature sur le concept général de la logistique inverse, nous développons un ensemble de modèles recouvrant les combinaisons mono ou multi niveaux, mono ou multi périodes et mono ou multi contenants afin d’optimiser ces retours au sein de chaînes logistiques déjà définies. Ces modèles sont par la suite appliqués, soit fictivement pour un des modèles mono-période résolu grâce à une heuristique de décomposition développée pour des réseaux logistiques de grande taille, soit réellement chez nos partenaires pour les modèles multi-périodes résolus de façon exacte. Le but de ces applications étant d’utiliser ces modèles théoriques dans un contexte réel d’entreprise et d’en dégager les possibles bénéfices économiques mais également environnementaux grâce à la prise en compte des émissions liées au transport et au cycle de vie de ces contenants
In an industrial world touched by a complicated economic environment, companies need to explore all opportunities for cost reduction and supply chain optimization. A recent optimization field developed in the literature concerns the concept of reverse logistics. This concept deals with the flows management through a supply chain in the opposite direction to the traditional one. It includes activities related to recycling, repair or products reuse. In partnership with the industrial of the “Chaire Supply Chain”, we are interested in optimizing these reverse flows by focusing more particularly on reusable containers. For that, we propose a literature review on the general concept of reverse logistics and develop a set of models covering combinations between single and multi-levels, single and multi-periods and single and multi-containers problems in order to optimize this type of returns within already defined supply chains. These models are then applied, either in a fictive way for a single-period one solved by a decomposition heuristic proposed for large logistics networks, or in a real way for multi-period models solved exactly and applied to our partners problematic. The purpose of these applications is to use these theoretical models in a real business in order to identify economic benefits but also environmental ones by taking into account emissions from these containers transportation and manufacturing
2

Rivers, Derick Lorenzo. "Dynamic Bayesian Approaches to the Statistical Calibration Problem." VCU Scholars Compass, 2014. http://scholarscompass.vcu.edu/etd/3599.

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The problem of statistical calibration of a measuring instrument can be framed both in a statistical context as well as in an engineering context. In the first, the problem is dealt with by distinguishing between the "classical" approach and the "inverse" regression approach. Both of these models are static models and are used to estimate "exact" measurements from measurements that are affected by error. In the engineering context, the variables of interest are considered to be taken at the time at which you observe the measurement. The Bayesian time series analysis method of Dynamic Linear Models (DLM) can be used to monitor the evolution of the measures, thus introducing a dynamic approach to statistical calibration. The research presented employs the use of Bayesian methodology to perform statistical calibration. The DLM framework is used to capture the time-varying parameters that may be changing or drifting over time. Dynamic based approaches to the linear, nonlinear, and multivariate calibration problem are presented in this dissertation. Simulation studies are conducted where the dynamic models are compared to some well known "static'" calibration approaches in the literature from both the frequentist and Bayesian perspectives. Applications to microwave radiometry are given.
3

Marchand, Basile. "Assimilation de données et recalage rapide de modèles mécaniques complexes." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLN053/document.

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Depuis plusieurs années, les évolutions considérables survenues au niveau des moyens de calcul à disposition ont entraîné de nouvelles pratiques de simulation des structures mécaniques. Parmi ces nouvelles pratiques celle qui motive ces travaux de thèse est le paradigme Dynamic Data Driven Application Systems (DDDAS). L’idée fondatrice de cette approche est de mettre en place un dialogue entre un système physique et son modèle numérique. L’objectif est alors de (i) permettre un recalage du modèle numérique à l’aide de mesures faites sur le système physique ; (ii) contrôler l’évolution du système physique à l’aide de la prédiction faite par la simulation numérique. La difficulté majeure est de réaliser ce dialogue en temps réel. Ces travaux de thèse se focalisent sur l’étape de recalage de modèle du paradigme DDDAS. La problématique est alors de développer des méthodes et outils de résolution de problèmes inverses prenant en compte diverses contraintes à savoir : (i) une robustesse vis-à-vis des données corrompues ; (ii) une généricité permettant de considérer une grande variété de problèmes et de modèles mécaniques ; (iii) un temps de calcul réduit afin de tendre vers un recalage de modèle en temps réel. Le point de départ de ces travaux est l’Erreur en Relation de Comportement modifiée, approche énergétique dédiée à la résolution des problèmes inverses en mécanique, s’étant notamment illustrée par sa grande robustesse vis-à-vis des bruits de mesure. Dans un premier temps, afin de garantir un processus d’identification rapide, nous avons couplé l’Erreur en Relation de Comportement modifiée avec la réduction de modèle PGD dans le cadre de modèle linéaire, permettant ainsi de mettre en place un processus d’identification rapide et automatique. Ensuite, dans le but d’être appliquée au paradigme DDDAS, nous avons développé une démarche d’identification reposant sur un processus d’assimilation de données (le filtre de Kalman) et utilisant l’Erreur en Relation de Comportement modifiée comme opérateur d’observation toujours dans le cadre de problèmes linéaires. Nous avons ensuite étendu cette méthode d’assimilation de données à la problématique de l’identification de champs de paramètres en introduisant une séparation des discrétisations spatiales et des outils provenant de l’adaptation de maillage. Nous avons ensuite abordé la problématique des modèles mécaniques non-linéaires, au travers de modèles d’endommagement et de visco-plasticité. Pour cela nous avons dans un premier temps reformulé et étendu le concept d’Erreur en Relation de Comportement modifiée à ce cadre non-linéaire matériau et nous avons mis en place un processus de résolution dédié, s’inspirant de la méthode LaTIn. Pour finir nous avons introduit cette reformulation de l’Erreur en Relation de Comportement modifiée au sein de la méthode d’assimilation de données développée précédemment afin de traiter le recalage dynamique de modèles non-linéaires
For several years, the considerable changes that have occurredin computing tools have led to new practices in the simulation of mechanical structures. Among them, the motivation for this work is the Dynamic Data Driven Application Systems paradigm (DDDAS). The founding idea of this approach is to establish a dialogue between a physical system and its numericalmodel. The objective is then to (i) allow a calibration of the numerical model by means of measurements performed on the physical system; (ii) control the evolution of the physical system using theprediction given by numerical simulation. The major difficulty is to realize this dialogue in real time. This work focuses on the model updating step of the DDDAS paradigm. The problem is then to develop methods and tools to solve inverse problems taking into account various constraints, namely: (i) robustness with respect to corrupted data; (ii) genericity for considering a wide variety of problems and mechanical models; (iii) a reduced computation time in order to tend towards a real-time model updating.The starting point of this work is the modified Constitutive Relation Error, an energetic approach dedicated to the solution of inverse problems in mechanics, notably illustrated by its robustness with respect to measurement noises. First, in order to guarantee a fast identification process, we have coupled the modified Constitutive Relation Error with the PGD model reduction in the linear model framework, thus enabling a fast and automatic identification process. Then, in order to be applied to the DDDAS paradigm, we have developed an identification method based on a data assimilation process (the Kalman filter) and using the modified Constitutive Relation Error as an observer alwayswithin the framework of linear problems. We have then extended this data assimilation approach to the problem of the identification of parameter fields by introducing a separation of the spatial discretizations and by introducing tools resulting from the mesh adaptation framework. We have then addressed the problem of non-linear mechanical models, through damage and visco-plasticitymodels. To this end, we have first recast and extended the concept of the modified Constitutive Relation Error to this nonlinear material framework and we have implemented a dedicated resolution process, based on the LaTIn method. Finally, we have introduced this reformulation of the modified Constitutive Relation Error in the previously data assimilation method in order to process the model updating of nonlinear models
4

Rosecký, Martin. "Aplikace pokročilých regresních modelů." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2018. http://www.nusl.cz/ntk/nusl-382274.

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This thesis summarizes latest findings about municipal solid waste (MSW) modelling. These are used to solve multivariable version of inverse prediction problem. It is not possible to solve such problem analytically, so heuristic framework using regression models and data reconciliation was developed. As a side product, models for MSW modelling using PCA (Principal Component Analysis) and LM (Linear Model) were created. These were compared with heuristic model called RF (Random Forest). Both of these models were also used for per capita MSW modelling. Theoretical parts about generalized linear models, data reconciliation and nonlinear programming are also included.
5

Granier, Bernard. "Restauration d'images perturbees par la turbulence atmospherique." Paris 11, 1996. http://www.theses.fr/1996PA112496.

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Une image observee est modelisee comme la convolution d'un noyau de flou du a la turbulence atmospherique par une image originale, a laquelle est ajoutee un bruit d'acquisition. L'objectif de notre etude est la mise en uvre d'une methode de restauration dont la complexite numerique est independante de la taille du noyau de perturbation. Nous proposons une methode de restauration en deux etapes: la premiere etant un filtrage de moindres carres faiblement regularise, la seconde un filtrage markovien. Nous etudions les methodes de deconvolution de moindres carres en proposant une technique de comparaison adaptee a ces methodes. Elles sont lineaires et l'image restauree par celles-ci peut etre separee en un terme de signal et un terme de bruit. L'etude du compromis realise entre ces deux termes permet de comparer les methodes de restauration de moindres carres. Le filtrage de tikhonov-miller apparait comme la methode la plus performante. Nous developpons alors une methode en deux etapes constituee par un filtrage de tikhonov-miller suivit d'un filtrage markovien. La premiere etape deconvolue l'image observee et la deuxieme filtre le bruit de deconvolution. Cette methode en deux etapes est une methode de restauration non lineaire dont la complexite est independante de la taille du noyau de perturbation. Nous comparons les images obtenues avec cette methode en deux etapes avec celles obtenues lorsque le filtrage markovien est remplace par un filtrage de diffusion. Nous adaptons la technique en deux etapes au cas de la deconvolution multi-images. La premiere etape devient une deconvolution par la methode de la pseudo-inverse multi-images, la seconde reste inchangee. Le nombre d'images observees necessaires ainsi que les hyper-parametres de la modelisation markovienne sont determines automatiquement. La methode multi-images permet alors d'obtenir des images restaurees de qualite independante du rapport signal a bruit des images observees
6

Fontinele, Humberto Ãcaro Pinto. "Local models for inverse kinematics approximation of redundant robots: a performance comparison." Universidade Federal do CearÃ, 2015. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=16727.

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In this dissertation it is reported the results of a comprehensive comparative study involving six local models applied to the task of learning the inverse kinematics of three redundant robotic arm (planar, PUMA 560 and Motoman HP6). The evaluated algorithms are the following ones: radial basis functions network (RBFN), local model network (LMN), SOMbased local linear mapping (LLM), local linear mapping over k-winners (K-SOM), local weighted regression (LWR) and counter propagation (CP). Each algorithm is evaluated with respect to its accuracy in estimating the joint angles given the cartesian coordinates which comprise end-effector trajectories within the robot workspace. A comprehensive evaluation of the performances of the aforementioned algorithms is carried out based on correlation analysis of the residuals. Finally, hypothesis testing procedures are also executed in order to verifying if there are significant differences in performance among the best algorithms.
Nesta dissertaÃÃo sÃo reportados os resultados de um amplo estudo comparativo envolvendo seis modelos locais aplicados à tarefa de aproximaÃÃo do modelo cinemÃtico inverso de 3 robÃs manipuladores (planar, PUMA 560 e Motoman HP6). Os modelos avaliados sÃo os seguintes: rede de funÃÃes de base radial (RBFN), rede de modelos locais (LMN), mapeamento linear local baseado em SOM (LLM), mapeamento linear local usando K vencedores (KSOM), regressÃo local ponderada (LWR) e rede counterpropagation (CP). Estes algoritmos sÃo avaliados quanto à acurÃcia na estimaÃÃo dos Ãngulos das juntas dos robÃs manipuladores em experimentos envolvendo a geraÃÃo de vÃrios tipos de trajetÃrias no espaÃo de trabalho dos referidos robÃs. Uma avaliaÃÃo abrangente do desempenho de cada algoritmo à feita com base na anÃlise dos resÃduos e testes de hipÃteses sÃo realizados para verificar a semelhanÃa estatistica entre os desempenhos dos melhores algoritmos.
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Heijden, Luuk van der. "Determination of the food sources and of the role of meiofauna in soft-bottom intertidal habitats of the Marennes-Oléron Bay, France, and the Sylt-Rømø Bight, Germany : importance of the microphytobenthos-meiofauna pathway, highlighted by community structure, trophic markers and linear inverse food web models." Thesis, La Rochelle, 2018. http://www.theses.fr/2018LAROS030/document.

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La méiofaune joue un rôle important dans le fonctionnement des habitats benthiques à substrat meuble (ex. flux de matière) en relation avec sa production élevée, sa position trophique intermédiaire et les importants transferts d’énergie vers les niveaux trophiques supérieurs qui y sont lié. Les relations trophiques et les flux de matière organique liés à la méiofaune restent néanmoins mal connus ou peu pris en compte. Afin de mieux appréhender le rôle de la méiofaune, la structure des communautés et les relations trophiques entre les sources de nourriture et ces consommateurs ont été déterminées dans cinq habitats à substrat meuble (i.e., vasière nue, herbier, zone à sables) de la baie de Marennes-Oléron, France, et de la baie de Sylt-Rømø, Allemagne, en tenant compte des variations temporelles. Le peuplement de méiofaune s’est trouvé être dominé par les nématodes et les copépodes benthiques. Les biomasses de microphytobenthos et de matière organique du sédiment sont apparues comme étant deux facteurs structurants pour les communautés. L’utilisation combinée de différents traceurs de la matière (i.e., isotopes stables, acides gras) a démontré que le microphytobenthos et les bactéries étaient les ressources trophiques majeures de la méiofaune dans les cinq habitats étudiés. Les mesures réalisées sur la structure des communautés et les données issues des traceurs de la matière ont été implémentées dans des modèles de réseaux trophiques. Dans tous les habitats, ces modèles ont mis en évidence que le flux de carbone dominant était issu du microphytobenthos, ceci démontrant les très faibles changements de comportements alimentaires malgré les importantes différences de sources trophiques en termes de disponibilité et de production des sources de nourriture entre ces différents habitats. Tous les groupes trophiques de nématodes, à l’exception des déposivores sélectifs, étaient particulièrement sélectifs et s’alimentaient majoritairement à partir de microphytobenthos, ceci étant à l’origine d’une forte production et d’un court temps de renouvellement de la méiofaune. En conclusion, cette thèse démontre le rôle important de la méiofaune dans les habitats à substrat meuble ainsi que l’importance de la relation trophique entre le microphytobenthos et la méiofaune dans le fonctionnement de ces réseaux trophiques
Meiofauna play an important role in ecosystem processes in soft-bottom benthic habitats, e.g. food web dynamics, related to their highproduction, their intermediate trophic position and the energy they transfer towards higher trophic levels. The trophic linkages and flows of organic matter related to the meiofauna remain poorly known or taken into account. To better assess the role of meiofauna, the community structure and trophic relationships between food sources and meiofauna were determined in five intertidal soft-bottom habitats (i.e., mudflat, seagrass bed, sandflat) of the Marennes-Oléron Bay, France, and the Sylt-Rømø Bight, Germany, taking temporal variations into account. Meiofauna communities were dominated by nematodes and benthic copepods. Biomass of microphytobenthos and of sediment organic matter were two of the major drivers of community structure. The combination of trophic markers (i.e., stable isotopes, fatty acids) demonstrated that microphytobenthos and bacteria were the major food sources of meiofauna in the five habitats. Information from community structure assessments and trophic marker analyses were implemented in food web models. In all habitats, these models demonstrated that the main flow of carbon to meiofauna originated from microphytobenthos, highlighting negligible changes in meiofauna feeding behavior besides the large differences in availability and productivity of food sources between these habitats. All trophic groups of nematodes, except for selective deposit feeding nematodes, were highly selective and mainly fed on microphytobenthos, resulting in a high production and a short turn-over time of meiofauna. In conclusion, this thesis demonstrated the important role of meiofauna in soft-bottom habitats as well as the importance of the trophic pathway from microphytobenthos to meiofauna in the functioning of these food webs
8

Greiner, Eric. "Mise en oeuvre de méthodes de contrôle optimal pour l'assimilation de données in situ et satellitaires dans les modèles océaniques." Paris 6, 1993. http://www.theses.fr/1993PA066108.

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L'etude porte sur la resolution de problemes de moindres carres non lineaires rencontres dans le domaine des ecoulements oceaniques a grande echelle. L'originalite de ce travail reside dans l'approche qui est faite par la methode du controle optimal plutot que par une technique statistique. Cette methode consiste a minimiser une fonctionnelle correspondant au probleme de moindre carre etudie, le minimum de cette optimisation etant une solution du probleme. Lors des applications numeriques, le gradient de cette fonctionnelle n'est pas calcule par differences finies mais a l'aide du modele adjoint. La premiere etude de cette these concerne l'estimation des conditions initiales manquantes de modeles oceaniques tels que ceux de saint-venant, stokes et boussinesq a l'aide de donnees partielles sur l'etat du systeme. Cette etude theorique faite essentiellement en lineaire est suivie d'une application reelle, l'initialisation d'un modele shallow water non lineaire avec des donnees d'altimetrie du satellite geosat. La troisieme etude traite de l'initialisation d'un modele non lineaire de boussinesq quasi stationnaire avec des donnees de temperature et de salinite uniquement. Cette etude theorique est suivie d'une experience numerique d'initialisation d'un modele operationnel de simulation oceanique tridimensionnelle a l'aide de donnees in situ de temperature et de climatologie de temperature et de salinite. Les resultats theoriques partiels ainsi que les experiences numeriques montrent que la methode s'applique de maniere satisfaisante et qu'elle pourra etre utilisee de maniere operationnelle ainsi qu'en mode recherche pour ameliorer notre vision de l'ocean et parfaire sa description
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Sandberg, Henrik. "Linear Time-Varying Systems: Modeling and Reduction." Licentiate thesis, Lund University, Department of Automatic Control, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-74720.

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Linear time-invariant models are widely used in the control community. They often serve as approximations of nonlinear systems. For control purposes linear approximations are often good enough since feedback control systems are inherently robust to model errors. In this thesis some of the possibilities for linear time-varying modeling are studied. In the thesis it is shown that the balanced truncation procedure can be applied to reduce the order of linear time-varying systems. Many of the attractive properties of balanced truncation for time-invariant systems can be generalized into the time-varying framework. For example, it is shown that a truncated input-output stable system will be input-output stable, and computable simple worst-case error bounds are derived. The method is illustrated with model reduction of a nonlinear diesel exhaust catalyst model. It is also shown that linear time-periodic models can be used for analysis of systems with power converters. Power converters produce harmonics in the power grids and give frequency coupling that cannot be modeled with standard time-invariant linear models. With time-periodic models we can visualize the coupling and also use all the available tools for linear time-varying systems, such as balanced truncation. The method is illustrated on inverter locomotives.
QC 20120208
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Brady, Kaitlyn. "Learning Curves in Emergency Ultrasonography." Digital WPI, 2012. https://digitalcommons.wpi.edu/etd-theses/1150.

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"This project utilized generalized estimating equations and general linear modeling to model learning curves for sonographer performance in emergency ultrasonography. Performance was measured in two ways: image quality (interpretable vs. possible hindrance in interpretation) and agreement of findings between the sonographer and an expert reviewing sonographer. Records from 109 sonographers were split into two data sets-- training (n=50) and testing (n=59)--to conduct exploratory analysis and fit the final models for analysis, respectively. We determined that the number of scans of a particular exam type required for a sonographer to obtain quality images on that exam type with a predicted probability of 0.9 is highly dependent upon the person conducting the review, the indication of the scan (educational or medical), and the outcome of the scan (whether there is a pathology positive finding). Constructing family-wise 95% confidence intervals for each exam type demonstrated a large amount of variation for the number of scans required both between exam types and within exam types. It was determined that a sonographer's experience with a particular exam type is not a significant predictor of future agreement on that exam type and thus no estimates were made based on the agreement learning curves. In addition, we concluded based on a type III analysis that when already considering exam type related experience, the consideration of experience on other exam types does not significantly impact the learning curve for quality. However, the learning curve for agreement is significantly impacted by the additional consideration of experience on other exam types."
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Books on the topic "Inverse linear model":

1

Getson, Albert J. 2-inverses and their statistical application. New York: Springer-Verlag, 1988.

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Voronin, Evgeniy, Aleksandr Chibunichev, and Yuriy Blohinov. Reliability of solving inverse problems of analytical photogrammetry. ru: INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/2010462.

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The monograph is devoted to computational aspects of photogrammetric reconstruction of narrow-angle bundles of projecting beams that existed during the survey. Methods of improving the conditionality of systems of linear equations, ensuring the convergence of iterative refinement of their roots, increasing the stability of calculations in finite precision machine arithmetic are considered. The main efforts are focused on solving the problem of establishing reliable measurement weights within the framework of the least squares method. The criteria for the reliability of the weights are determined. Algorithms have been developed for matching the initial values of the measurement weights, adjusting the weights during equalization, and identifying insignificant parameters of mathematical measurement models. A new method for evaluating the accuracy of the equalization results has been developed. For specialists engaged in the processing of remote sensing data of the Earth and mathematical processing of the results of heterogeneous measurements using weighted methods of statistical estimation of the parameters of functional dependencies.
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Mas, André, and Besnik Pumo. Linear Processes for Functional Data. Edited by Frédéric Ferraty and Yves Romain. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780199568444.013.3.

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This article provides an overview of the basic theory and applications of linear processes for functional data, with particular emphasis on results published from 2000 to 2008. It first considers centered processes with values in a Hilbert space of functions before proposing some statistical models that mimic or adapt the scalar or finite-dimensional approaches for time series. It then discusses general linear processes, focusing on the invertibility and convergence of the estimated moments and a general method for proving asymptotic results for linear processes. It also describes autoregressive processes as well as two issues related to the general estimation problem, namely: identifiability and the inverse problem. Finally, it examines convergence results for the autocorrelation operator and the predictor, extensions for the autoregressive Hilbertian (ARH) model, and some numerical aspects of prediction when the data are curves observed at discrete points.
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Connected Mathematics 2 thinking with mathematical models: Linear and inverse variation. USA, Boston, Massachusetts: pearson prentice hall, 2007.

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Friel, Susan N., Glenda Lappan, James T. Fey, William M. Fitzgerald, and Elizabeth Difanis Phillips. Thinking with Mathematical Models: Linear and Inverse Variation (Connected Mathematics 2). Pearson Prentice Hall, 2006.

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Friel, Susan N., Glenda Lappan, James T. Fey, William M. Fitzgerald, and Elizabeth Difanis Phillips. Thinking with Mathematical Models: Linear and Inverse Variation (Connected Mathematics 2). Pearson Prentice Hall, 2006.

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Fey, Fitzgerald Friel &. Phillips Lappan. Thinking with Mathematical Models (Linear & Inverse Variation) Teacher's Guide, Connected Mathematics 2. Pearson Prentice Hall, 2006.

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PUBLISHER, PRENTICE HALL. CONNECTED MATHEMATICS 3 STUDENT EDITION GRADE 8 : THINKING with MATHEMATICAL MODELS: LINEAR and INVERSE VARIATION COPYRIGHT 2018. Savvas Learning Company, 2017.

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Co, Savvas Learning. Connected Mathematics 3 Student Edition Grade 8 : Thinking with Mathematical Models: Linear and Inverse Variation Copyright 2014. Savvas Learning Company, 2013.

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HALL, Prentice. Connected Mathematics 3 Spanish Student Edition Grade 8 : Thinking with Mathematical Models: Linear and Inverse Variation Copyright 2014. Savvas Learning Company, 2014.

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Book chapters on the topic "Inverse linear model":

1

Choze, Sergio B., Rogerio R. Santos, Ariosto B. Jorge, and Guilherme F. Gomes. "An overview of Linear and Non-linear Programming methods for Structural Optimization." In Model-based and Signal-Based Inverse Methods, 65–106. Brasilia: Biblioteca Central da Universidade de Brasilia, 2022. http://dx.doi.org/10.4322/978-65-86503-71-5.c03.

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Evensen, Geir, Femke C. Vossepoel, and Peter Jan van Leeuwen. "Linear EnKF Update." In Springer Textbooks in Earth Sciences, Geography and Environment, 139–45. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-96709-3_13.

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AbstractThe Kalman filter or its ensemble version, the ensemble Kalman filter, is optimal for a linear model and -measurement operator. This chapter will comprehensively discuss the EnKF analysis scheme and its properties, focusing on an ensemble-subspace computation of the inverse.
3

Vardi, Y. "Applications of the EM Algorithm to Linear Inverse Problems with Positivity Constraints." In Image Models (and their Speech Model Cousins), 183–98. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-4056-3_11.

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Trajkovska, Vera, Paul Swoboda, Freddie Åström, and Stefania Petra. "Graphical Model Parameter Learning by Inverse Linear Programming." In Lecture Notes in Computer Science, 323–34. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58771-4_26.

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Martínez, I., I. Ortiz, and C. Rodríguez. "Optimum Experimental Designs for a Modified Inverse Linear Model." In mODa 6 — Advances in Model-Oriented Design and Analysis, 171–81. Heidelberg: Physica-Verlag HD, 2001. http://dx.doi.org/10.1007/978-3-642-57576-1_19.

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Nguyen, Ngoc Anh, Sorin Olaru, Pedro Rodriguez-Ayerbe, Morten Hovd, and Ion Necoara. "Fully Inverse Parametric Linear/Quadratic Programming Problems via Convex Liftings." In Developments in Model-Based Optimization and Control, 27–47. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-26687-9_2.

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Eyheramendy, Susana, and David Madigan. "A flexible Bayesian generalized linear model for dichotomous response data with an application to text categorization." In Complex Datasets and Inverse Problems, 76–91. Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2007. http://dx.doi.org/10.1214/074921707000000067.

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Pillonetto, Gianluigi, Tianshi Chen, Alessandro Chiuso, Giuseppe De Nicolao, and Lennart Ljung. "Regularization for Linear System Identification." In Regularized System Identification, 135–80. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95860-2_5.

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AbstractRegularization has been intensively used in statistics and numerical analysis to stabilize the solution of ill-posed inverse problems. Its use in System Identification, instead, has been less systematic until very recently. This chapter provides an overview of the main motivations for using regularization in system identification from a “classical” (Mean Square Error) statistical perspective, also discussing how structural properties of dynamical models such as stability can be controlled via regularization. A Bayesian perspective is also provided, and the language of maximum entropy priors is exploited to connect different form of regularization with time-domain and frequency-domain properties of dynamical systems. Some numerical examples illustrate the role of hyper parameters in controlling model complexity, for instance, quantified by the notion of Degrees of Freedom. A brief outlook on more advanced topics such as the connection with (orthogonal) basis expansion, McMillan degree, Hankel norms is also provided. The chapter is concluded with an historical overview on the early developments of the use of regularization in System Identification.
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Campos, Damián, Andrés Ajras, Lucas Goytiño, and Marcelo Piovan. "Bayesian Inversion of a Non-linear Dynamic Model for Stockbridge Dampers." In Proceedings of the XV Ibero-American Congress of Mechanical Engineering, 3–9. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-38563-6_1.

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AbstractStockbridge dampers are the most widely used in wind induced vibration control of overhead power transmission lines. This dynamic absorber comprises a carrier cable with a mass at each end and a bolted clamp that can be attached to a conductor or a guard wire, with the purpose of supplementing the energy dissipated by the cable related to its self-damping. The maximum response of this type of absorber is associated with the frequencies of its different oscillation modes. The masses are designed in such a way to obtain moments of inertia and location of their center of gravity such that, with the vibration of the clamp, their various characteristic bending and torsional modes are excited. In this work, the calibration of a nonlinear finite element model using Bayesian inference is presented to evaluate the dynamic behavior of the damper for all excitation frequencies and displacement amplitudes. To this end, an inverse problem was posed in which the probability distributions of the parameters of interest are obtained from backward uncertainty propagation of experimental measurements performed in laboratory tests. Finally, the uncertainty of the calibrated model was propagated and contrasted with the experimental data. The developed model is a powerful tool when defining the quantity and distribution of dampers in the span of a line.
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Bapat, R. B. "Generalized Inverses." In Linear Algebra and Linear Models, 31–36. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2739-0_4.

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Conference papers on the topic "Inverse linear model":

1

Drouard, Vincent, Sileye Ba, and Radu Horaud. "Switching Linear Inverse-Regression Model for Tracking Head Pose." In 2017 IEEE Winter Conference on Applications of Computer Vision (WACV). IEEE, 2017. http://dx.doi.org/10.1109/wacv.2017.142.

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Jasinska, Elzbieta. "ESTIMATION LINEAR MODEL USING BLOCK GENERALIZED INVERSE OF A MATRIX." In 13th SGEM GeoConference on INFORMATICS, GEOINFORMATICS AND REMOTE SENSING. Stef92 Technology, 2013. http://dx.doi.org/10.5593/sgem2013/bb2.v2/s09.022.

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Sun, Shilong, Bert Jan Kooij, and Alexander G. Yarovoy. "Solving the PEC inverse scattering problem with a linear model." In 2016 URSI International Symposium on Electromagnetic Theory (EMTS). IEEE, 2016. http://dx.doi.org/10.1109/ursi-emts.2016.7571336.

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Aldrian, Oswald, and William A. P. Smith. "Inverse rendering in SUV space with a linear texture model." In 2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops). IEEE, 2011. http://dx.doi.org/10.1109/iccvw.2011.6130337.

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Serrani, A. "Output regulation for over-actuated linear systems via inverse model allocation." In 2012 IEEE 51st Annual Conference on Decision and Control (CDC). IEEE, 2012. http://dx.doi.org/10.1109/cdc.2012.6426209.

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Ramirez-Martinez, O. L., E. A. Martinez-Garcia, R. E. Mohan, and J. K. Sheba. "Mobile robot adaptive trajectory control: Non-linear path model inverse transformation for model reference." In 2014 13th International Conference on Control Automation Robotics & Vision (ICARCV). IEEE, 2014. http://dx.doi.org/10.1109/icarcv.2014.7064420.

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Braghin, Francesco, Simone Cinquemani, and Ferruccio Resta. "Power Harvesting Through Magnetostrictive Devices: A Linear Model." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24888.

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Energy harvesting, sometimes referred to as “power scavenging” or “energy extraction”, can be defined as “converting ambient energies such as vibration, temperature, light, RF energy, etc. to usable electrical energy by using energy conversion materials or structures, and subsequent storage of the electrical energy for powering electric devices”. There has been a significant increase in the research on vibration-based energy harvesting in recent years. In this contest magnetostrictive devices are considered a promising technology. The Villari effect, also known as the inverse magnetomechanical effect, is the change in magnetization that a magnetostrictive material undergoes when subjected to an applied uniaxial stress. This effect pertains to the transduction of energy from the elastic to the magnetic state and is inverse of Joule magnetostriction. Furthermore, the Villari effect exhibits many of the attributes of the direct magnetostrictive effect since its physical origin lies in magnetoelastic coupling. Transducers utilizing the Villari effect consist of a coil wound on a core of magnetostrictive material. In this paper, a linear magnetomechanical coupling model is developed to analytically calculate the potential electrical power such transducers can generate when subjected to applied harmonic mechanical vibration. Theoretical results are confirmed by experimental tests on two different magnetostrictive devices.
8

Lee, K. Y., and Hee-Sang Ko. "Power system stabilization using a free model based inverse dynamic linear controller." In Proceedings of Power Engineering Society Summer Meeting. IEEE, 2001. http://dx.doi.org/10.1109/pess.2001.970190.

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Zayani, R., Rim Guedria, and R. Bouallegue. "Compensation of the OFDM non-linear distortions by the inverse model method." In 8th International Conference on Advanced Communication Technology. IEEE, 2006. http://dx.doi.org/10.1109/icact.2006.206412.

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Chebotarev, Alexander, Pavel Mesenev, and Andrey Kovtanyuk. "Inverse problem with unknown sources for a quasi-linear complex heat transfer model." In 2023 Days on Diffraction (DD). IEEE, 2023. http://dx.doi.org/10.1109/dd58728.2023.10325734.

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Reports on the topic "Inverse linear model":

1

Yu, Guoshen, Guillermo Sapiro, and Stephane Mallat. Solving Inverse Problems with Piecewise Linear Estimators: From Gaussian Mixture Models to Structured Sparsity. Fort Belvoir, VA: Defense Technical Information Center, June 2010. http://dx.doi.org/10.21236/ada540722.

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Poppeliers, Christian, Katherine Anderson Aur, and Leiph Preston. The use of atmospheric prediction models to invert infrasound for linear-equivalent time domain moment tensors: Source Physics Experiment Phase 1. Office of Scientific and Technical Information (OSTI), August 2018. http://dx.doi.org/10.2172/1468382.

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Krause, Thomas, Mehrdad Keshefi, Ross Underhill, and Lynann Clapham. PR652-203801-R02 Magnetic Object Model for Large Standoff Magnetometry Measurement. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), September 2021. http://dx.doi.org/10.55274/r0012151.

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Ferromagnetic pipeline steel may exhibit magnetization, even in the absence of applied magnetic fields, due to remnant fields or the presence of pipe wall stress. Remnant magnetization may be present from previous or existing exposure to a magnetic field, while pipe wall stress induced magnetization can result from line pressure, environmental stresses due to settling or geohazard conditions, and residual stresses due to nonuniform plastic deformation caused by manufacturing processes, installation or operating conditions. The local stress state of the pipeline may also be altered by corrosion or damage. The physical basis for magnetization in pipelines due to intrinsic and resident stresses is examined here using the magnetic object (MO) model. MOs are characterized as regions of relatively independent magnetic behaviour, typically about the size of a ferromagnetic steel grain, to which expressions for the magnetic energy of local domain structures can be applied. The lowest energy state for an MO is a flux-closed structure, but the presence of stress can modify the MO energy through inverse magnetostrictive effects on the domain structure and thereby, produce a state of magnetization. This magnetization may be altered by the introduction of additional stress sources including pressurization of the pipe, geological-environment effects, sources of magnetization that include the proximity of other ferromagnetic pipes, even those comprising sections of the same pipeline, and changes in the pipe structure that may be brought about by deformation, corrosion or cracking. This work shows that the fundamental building block of the MO, combined with considerations of overall changes in domain structure due to these factors, can be used to model the generation of magnetic fields measured outside of pipeline structures. This will have implications for understanding sources of pipeline magnetization that are passively measured above buried oil and gas pipelines with the objective of detecting anomalous conditions that may indicate compromised conditions for safe pipeline operation.
4

Jury, William A., and David Russo. Characterization of Field-Scale Solute Transport in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, January 1994. http://dx.doi.org/10.32747/1994.7568772.bard.

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This report describes activity conducted in several lines of research associated with field-scale water and solute processes. A major effort was put forth developing a stochastic continuum analysis for an important class of problems involving flow of reactive and non reactive chemicals under steady unsaturated flow. The field-scale velocity covariance tensor has been derived from local soil properties and their variability, producing a large-scale description of the medium that embodies all of the local variability in a statistical sense. Special cases of anisotropic medium properties not aligned along the flow direction of spatially variable solute sorption were analysed in detail, revealing a dependence of solute spreading on subtle features of the variability of the medium, such as cross-correlations between sorption and conductivity. A novel method was developed and tested for measuring hydraulic conductivity at the scale of observation through the interpretation of a solute transport outflow curve as a stochastic-convective process. This undertaking provided a host of new K(q) relationships for existing solute experiments and also laid the foundation for future work developing a self-consistent description of flow and transport under these conditions. Numerical codes were developed for calculating K(q) functions for a variety of solute pulse outflow shapes, including lognormal, Fickian, Mobile-Immobile water, and bimodal. Testing of this new approach against conventional methodology was mixed, and agreed most closely when the assumptions of the new method were met. We conclude that this procedure offers a valuable alternative to conventional methods of measuring K(q), particularly when the application of the method is at a scale (e.g. and agricultural field) that is large compared to the common scale at which conventional K(q) devices operate. The same problem was approached from a numerical perspective, by studying the feasibility of inverting a solute outflow signal to yield the hydraulic parameters of the medium that housed the experiment. We found that the inverse problem was solvable under certain conditions, depending on the amount of noise in the signal and the degree of heterogeneity in the medium. A realistic three dimensional model of transient water and solute movement in a heterogeneous medium that contains plant roots was developed and tested. The approach taken was to generate a single realization of this complex flow event, and examine the results to see whether features were present that might be overlooked in less sophisticated model efforts. One such feature revealed is transverse dispersion, which is a critically important component in the development of macrodispersion in the longitudinal direction. The lateral mixing that was observed greatly exceeded that predicted from simpler approaches, suggesting that at least part of the important physics of the mixing process is embedded in the complexity of three dimensional flow. Another important finding was the observation that variability can produce a pseudo-kinetic behavior for solute adsorption, even when the local models used are equilibrium.

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