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The 26th Report on migrations by ISMU Foundation situates migration phenomena in Italy within the broader framework of the sudden outbreak and spread of COVID-19. The report analyzes the enduring impact of the pandemic on migration flows as well as on foreign residents in Italy. Statistical aspects and analyses of health, labour, and education are complemented with an in-depth study of the Italian legal framework, with particular regard to the most important legislative innovation on migration introduced in 2020: the regularization of migrant workers. The report is further complemented with detailed analyses of the link between immigration, politics, and the media, of racism, and of discrimination during the pandemic. Finally, the report devotes particular attention to the European arena, focusing on the new perspectives for European migration policy.
Migration --- Immigration --- Pandemic --- Regularization --- Migration policy --- Discrimination
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The 26th Report on migrations by ISMU Foundation situates migration phenomena in Italy within the broader framework of the sudden outbreak and spread of COVID-19. The report analyzes the enduring impact of the pandemic on migration flows as well as on foreign residents in Italy. Statistical aspects and analyses of health, labour, and education are complemented with an in-depth study of the Italian legal framework, with particular regard to the most important legislative innovation on migration introduced in 2020: the regularization of migrant workers. The report is further complemented with detailed analyses of the link between immigration, politics, and the media, of racism, and of discrimination during the pandemic. Finally, the report devotes particular attention to the European arena, focusing on the new perspectives for European migration policy.
Migration, immigration & emigration --- Migration --- Immigration --- Pandemic --- Regularization --- Migration policy --- Discrimination
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The 26th Report on migrations by ISMU Foundation situates migration phenomena in Italy within the broader framework of the sudden outbreak and spread of COVID-19. The report analyzes the enduring impact of the pandemic on migration flows as well as on foreign residents in Italy. Statistical aspects and analyses of health, labour, and education are complemented with an in-depth study of the Italian legal framework, with particular regard to the most important legislative innovation on migration introduced in 2020: the regularization of migrant workers. The report is further complemented with detailed analyses of the link between immigration, politics, and the media, of racism, and of discrimination during the pandemic. Finally, the report devotes particular attention to the European arena, focusing on the new perspectives for European migration policy.
Migration, immigration & emigration --- Migration --- Immigration --- Pandemic --- Regularization --- Migration policy --- Discrimination
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Based on a formalism to simulate mechanical rigid body systems with plane frictional contacts, an extension to systems with rolling contacts is proposed. A special focus is put on tagential contact compliance. A mathematical convergency proof of the solution of the tangential elastic formulation to the rigid one is proposed.
Kontaktmechaniknonholonomic --- Mehrkörperdynamik --- regularization --- nichtholonom --- multibody systems --- Zwangsbedingung --- contact mechanics --- Regularisierung --- constraints
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This thesis is concerned with intention recognition for a humanoid robot and investigates how the challenges of uncertain and incomplete observations, a high degree of detail of the used models, and real-time inference may be addressed by modeling the human rationale as hybrid, dynamic Bayesian networks and performing inference with these models. The key focus lies on the automatic identification of the employed nonlinear stochastic dependencies and the situation-specific inference.
Intention Recognition --- Dynamic Systems --- (Conditional) Density Estimation --- Regularization --- Human-Robot-Cooperation
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Bioluminescence tomography is a recent biomedical imaging technique which allows to study molecular and cellular activities in vivo. From a mathematical point of view, it is an ill-posed inverse source problem: the location and the intensity of a photon source inside an organism have to be determined, given the photon count on the organism's surface. To face the ill-posedness of this problem, a geometric regularization approach is introduced, analyzed and numerically verified in this book.
bioluminescence tomography --- shape optimization --- Tikhonov like regularization --- domain derivative --- inverse source problem
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This open access book provides a comprehensive treatment of recent developments in kernel-based identification that are of interest to anyone engaged in learning dynamic systems from data. The reader is led step by step into understanding of a novel paradigm that leverages the power of machine learning without losing sight of the system-theoretical principles of black-box identification. The authors’ reformulation of the identification problem in the light of regularization theory not only offers new insight on classical questions, but paves the way to new and powerful algorithms for a variety of linear and nonlinear problems. Regression methods such as regularization networks and support vector machines are the basis of techniques that extend the function-estimation problem to the estimation of dynamic models. Many examples, also from real-world applications, illustrate the comparative advantages of the new nonparametric approach with respect to classic parametric prediction error methods. The challenges it addresses lie at the intersection of several disciplines so Regularized System Identification will be of interest to a variety of researchers and practitioners in the areas of control systems, machine learning, statistics, and data science. This is an open access book.
Machine learning --- Automatic control engineering --- Statistical physics --- Bayesian inference --- Probability & statistics --- Cybernetics & systems theory --- System Identification --- Machine Learning --- Linear Dynamical Systems --- Nonlinear Dynamical Systems --- Kernel-based Regularization --- Bayesian Interpretation of Regularization --- Gaussian Processes --- Reproducing Kernel Hilbert Spaces --- Estimation Theory --- Support Vector Machines --- Regularization Networks
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This book is the second volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 3-7, 2011. This volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse problems and data assimilation in forefront applications. The solution of inverse problems is fundamental to a wide variety of applications such as weather forecasting, medical tomography, and oil exploration. Regularisation techniques are needed to ensure solutions of sufficient quality to be useful, and soundly theoretically based. This book addresses the common techniques required for all the applications, and is thus truly interdisciplinary. This collection of survey articles focusses on the large inverse problems commonly arising in simulation and forecasting in the earth sciences. For example, operational weather forecasting models have between 107 and 108 degrees of freedom. Even so, these degrees of freedom represent grossly space-time averaged properties of the atmosphere. Accurate forecasts require accurate initial conditions. With recent developments in satellite data, there are between 106 and 107 observations each day. However, while these also represent space-time averaged properties, the averaging implicit in the measurements is quite different from that used in the models. In atmosphere and ocean applications, there is a physically-based model available which can be used to regularise the problem. We assume that there is a set of observations with known error characteristics available over a period of time. The basic deterministic technique is to fit a model trajectory to the observations over a period of time to within the observation error. Since the model is not perfect the model trajectory has to be corrected, which defines the data assimilation problem. The stochastic view can be expressed by using an ensemble of model trajectories, and calculating corrections to both the mean value and the spread which allow the observations to be fitted by each ensemble member. In other areas of earth science, only the structure of the model formulation itself is known and the aim is to use the past observation history to determine the unknown model parameters. The book records the achievements of Workshop 2 "Large-Scale Inverse Problems and Applications in the Earth Sciences". It involves experts in the theory of inverse problems together with experts working on both theoretical and practical aspects of the techniques by which large inverse problems arise in the earth sciences.
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Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial need for stable and efficient solvers for this kind of problems as well as for a rigorous convergence analysis of these methods. This monograph consists of five parts. Part I motivates the importance of developing and analyzing regularization methods in Banach spaces by presenting four applications which intrinsically demand for a Banach space setting and giving a brief glimpse of sparsity constraints. Part II summarizes all mathematical tools that are necessary to carry out an analysis in Banach spaces. Part III represents the current state-of-the-art concerning Tikhonov regularization in Banach spaces. Part IV about iterative regularization methods is concerned with linear operator equations and the iterative solution of nonlinear operator equations by gradient type methods and the iteratively regularized Gauß-Newton method. Part V finally outlines the method of approximate inverse which is based on the efficient evaluation of the measured data with reconstruction kernels.
Banach spaces --- Parameter estimation --- Differential equations, Partial --- Banach, Espaces de --- Estimation d'un paramètre --- Equations aux dérivées partielles --- Banach spaces. --- Parameter estimation. --- Differential equations, Partial. --- Partial differential equations --- Estimation theory --- Stochastic systems --- Functions of complex variables --- Generalized spaces --- Topology --- Banach Space. --- Iterative Method. --- Regularization Theory. --- Tikhonov Regularization.
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This monograph is a valuable contribution to the highly topical and extremely productive field of regularization methods for inverse and ill-posed problems. The author is an internationally outstanding and accepted mathematician in this field. In his book he offers a well-balanced mixture of basic and innovative aspects. He demonstrates new, differentiated viewpoints, and important examples for applications. The book demonstrates the current developments in the field of regularization theory, such as multi parameter regularization and regularization in learning theory. The book is written for graduate and PhDs
Numerical analysis --- Numerical differentiation. --- Graphic differentiation --- Functions --- Improperly posed problems in numerical analysis --- Improperly posed problems. --- Ill-posed problems --- Balancing Principle. --- Blood Glucose Prediction. --- Convergence Rate. --- Discrepancy Principle. --- Error Bound Estimation. --- Ill-posed Problem. --- Learning Theory, Meta-learning. --- Multi-parameter Regularization. --- Regularization Method.
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