Mixed Research

Research Methods, Rationale, Design Thinking, meaningful inferences and publishing in a high impact factor journal: A-Z

This book addresses the role of modern surveying and representation technologies in preserving and disseminating cultural heritage. A workflow is illustrated, describing the Former Monastery of Ss Severino and Sossio case study, currently the headquarters of the State Archives of Naples, Italy. After offering a historical overview, the work examines the spaces and structure of the building. A methodology for three-dimensional restitution is presented, using low-cost image-based and professional range-based surveying, concluding with recent AI technologies such as NeRF. The research continues with the virtual and augmented restitution of parts of the building that have been modified, lost over the centuries, or are no longer accessible. The Atrio dei Marmi, the Atrio del Platano, and the Sala del Capitolo and Sala del Refettorio are some of the places where the research has focused, creating a BIM model, using AR for precise interventions, and developing an immersive applied game to understand the third level of the monastery, rich in works of art and today also serving as a museum. In the final chapters, a particular focus is placed on the future of representation: new techniques, ongoing developments in AI supporting surveying, and the new possibilities offered by virtual spaces.

Interest in constrained optimization originated with the simple linear pro­ gramming model since it was practical and perhaps the only computationally tractable model at the time. Constrained linear optimization models were soon adopted in numerous application areas and are perhaps the most widely used mathematical models in operations research and management science at the time of this writing. Modelers have, however, found the assumption of linearity to be overly restrictive in expressing the real-world phenomena and problems in economics, finance, business, communication, engineering design, computational biology, and other areas that frequently demand the use of nonlinear expressions and discrete variables in optimization models.

A rigorous, self-contained examination of mixed model theory and application
Mixed modeling is one of the most promising and exciting areas of statistical analysis, enabling the analysis of nontraditional, clustered data that may come in the form of shapes or images. This book provides in-depth mathematical coverage of mixed models’ statistical properties and numerical algorithms, as well as applications such as the analysis of tumor regrowth, shape, and image.

This book presents a comprehensive description of theory, algorithms and software for solving nonconvex mixed integer nonlinear programs (MINLP). The main focus is on deterministic global optimization methods, which play a very important role in integer linear programming, and are used only recently in MINLP.