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In this work, we consider a class of risk-averse maximum weighted subgraph problems (R-MWSP). Namely, assuming that each vertex of the graph is associated with a stochastic weight, such that the joint distribution is known, the goal is to obtain a subgraph of minimum risk satisfying a given hereditary property. We employ a stochastic programming framework(More)
Variability of the bony structures located in the maxillary sinus, and of the lateral nasal wall topography, have practical significance during surgical procedures conducted by maxillofacial surgeons or otolaryngologists. The retrospective analysis of 111 computed tomography examinations of patients (52 male and 59 female) diagnosed in our institution was(More)
We present an efficient scenario decomposition algorithm for solving large-scale convex stochas-tic programming problems that involve a particular class of downside risk measures. The considered risk functionals encompass coherent and convex measures of risk that can be represented as an infimal convolution of a convex certainty equivalent, and include(More)
Knowledge of the anatomical course of the anterior maxillary wall and alveolar process arteries is essential for sinus lift procedures. The aim of this study was to analyse the localization of anastomoses between the infraorbital and posterior superior alveolar artery on 101 computed tomography (CT) scans of maxillary sinuses (patients aged 18-70 years).(More)
In this work, we consider a risk-averse maximum weighted k-club problems. It is assumed that vertices of the graph have stochastic weights whose joint distribution is known. The goal is to find the k-club of minimum risk contained in the graph. A stochastic programming framework that is based on the formalism of coherent risk measures is used to find the(More)
PURPOSE Analysis of surgical approaches to primary tumors localized in parapharyngeal space used in Head & Neck Cancer Department, Cancer Center Institute in Warsaw. Description of differences in terminology used to describe fascial compartments of the neck. MATERIAL AND METHODS Retrospective analysis of medical records of 8 selected patients who had an(More)
In head and neck region leiomyosarcoma is a very rare finding. This tumor is usually located in abdominal cavity. We report a case of 78-year-old man with tumor of the auricle that was resected with 0.7 cm margin. Histological and immunohistochemical analysis revealed the leiomyosarcoma. Adjuvant therapy was not advised. During 3 years of follow-up there(More)
Sun, Bo. "Risk-averse design and operation of renewable energy power grids." PhD (Doctor of Philosophy) thesis, To my parents ii ACKNOWLEDGEMENTS I would like to express my special appreciation and thanks to my advisor, Professor Pavlo Krokhmal, for his guidance and support during my Ph.D. studies. He patiently provided excellent instructions, insightful(More)
In this work, we study the problem of detecting risk-averse low-diameter clusters, modeled as k-clubs, in graphs. It is assumed that the uncertainty of the information associated with vertices is shown by stochastic weights, whose joint distribution is known. The goal is to find a k-club of minimum risk contained in the graph. A stochastic programming(More)
We propose a two-stage stochastic programming framework for designing or identifying " resilient " , or " repairable " structures in graphs whose topology may undergo a stochastic transformation. The repairability of a subgraph satisfying a given property is defined in terms of a budget constraint, which allows for a prescribed number of vertices to be(More)