This state-of-the-art survey is dedicated to the memory of Emmanuil Markovich Braverman (1931-1977), a pioneer in developing the machine learning theory. The 12 revised full papers and 4 short papers included in this volume were presented at the conference "Braverman Readings in Machine Learning: Key Ideas from Inception to Current State" held in Boston, MA, USA, in April 2017, commemorating the 40th anniversary of Emmanuil Braverman's decease. The papers present an overview of some of Braverman's ideas and approaches. The collection is divided in three parts. The first part bridges the past and the present. Its main contents relate to the concept of kernel function and its application to signal and image analysis as well as clustering. The second part presents a set of extensions of Braverman's work to issues of current interest both in theory and applications of machine learning. The third part includes short essays by a friend, a student, and a colleague.
This two volume set (CCIS 858 and CCIS 859) constitutes the refereed proceedings of the Third International Conference on Digital Transformation and Global Society, DTGS 2018, held in St. Petersburg, Russia, in May/June 2018.
The 75 revised full papers and the one short paper presented in the two volumes were carefully reviewed and selected from 222 submissions. The papers are organized in topical sections on e-polity: smart governance and e-participation, politics and activism in the cyberspace, law and regulation; e-city: smart cities and urban planning; e-economy: IT and new markets; e-society: social informatics, digital divides; e-communication: discussions and perceptions on the social media; e-humanities: arts and culture; International Workshop on Internet Psychology; International Workshop on Computational Linguistics.
This book covers the classical theory of Markov chains on general state-spaces as well as many recent developments. The theoretical results are illustrated by simple examples, many of which are taken from Markov Chain Monte Carlo methods. The book is self-contained, while all the results are carefully and concisely proven. Bibliographical notes are added at the end of each chapter to provide an overview of the literature.
The analysis presented of non-axisymmetrically deformed shells behaviour reveals the variety of shell features affecting not only critical loads but also postbuckling behaviour and structural workability as well. These features are profoundly con-nected, not with load and structural irregularities, but with properties of nonlinear solutions inherent to thin shells. Non-axisymmetric deformation of shells demonstrates significant subcritical deflections and the possibility of smooth transformations (rearrangements) of shapes (due to the existence of ‘‘energetically close’’ postcritical shapes) and following rapid development up to a limit point. Perturbations of load and structure manifest themselves diversely. If a pertur-bation induces shapes mismatching any of the postcritical ones (those produced by primary, secondary, or tertiary bifurcation paths), a certain drop of critical load may occur but the general branching pattern remains unchanged. If the defor-mation shape induced by a perturbation is similar to any postcritical one, reso-nance occurs, the bifurcation pattern of postcritical branches is disrupted, and the critical load drops significantly. In that case the structure is maximally sensitive to perturbation value. Perturbations of initially nonhomogeneous stress–strain states are generally insignificant due to already developed strong nonuniformity. An ideal bifurcation pattern is disrupted in the case of a continuous spectrum of perturbation or in presence of its harmonics resonant to postcritical shapes. If the subcritical and postcritical shapes are similar, then the sensitivity to any perturbation is minimal. Thus, the load-carrying capability of compressed shells developing non-axi-symmetric deformation is not directly determined by critical loads. Additional criteria of stress, strain and displacement limitation may be considered. On the other hand, local buckling may not affect the load-carrying capability in the case of existence of an adjacent ascending branch of a solution.
For multilayer structures, such perturbations as shell wall delamination may cause local buckling such as snap-off of a delaminated layer, i.e. a jump to an isolated branch of the solution. The existence domain of such a buckling form is determined by the size of the delaminated area only. This phenomenon illustrates the existence of general, local and mixed buckling modes with essentially different levels of critical loads; occurrence of some specific modes depends upon the type and value of perturbation.