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This paper addresses the problem of synchronizing orthogonal matrices over directed graphs. For synchronized transformations (or matrices), composite transformations over loops equal the identity. We formulate the synchronization problem as a least-squares optimization problem with nonlinear constraints. The synchronization problem appears as one of the key components in applications ranging from
This paper addresses the consensus problem and the formation problem on SE(3) in multi-agent systems with directed and switching interconnection topologies. Several control laws are introduced for the consensus problem. By a simple transformation, it is shown that the proposed control laws can be used for the formation problem. The design is first conducted on the kinematic level, where the veloci
Statistical shape models based on point distribution models are powerful tools for image segmentation or shape analysis. The most challenging part in the generation of point distribution models is the identification of corresponding landmarks among all training shapes. Since in general the true correspondences are unknown, correspondences are frequently established under the hypothesis that correc
This note presents two theorems on asymptotic state consensus of continuous time nonlinear multi-agent systems. The agents reside in Rm and have switching interconnection topologies. Both the first theorem, formulated in terms of the states of individual agents, and the second theorem, formulated in terms of the pairwise states for pairs of agents, can be interpreted as variants of Lyapunov's seco
It is well known that reformulating the original problem can be crucial for the performance of mixed-integer programming (MIP) solvers. To ensure correctness, all transformations must preserve the feasibility status and optimal value of the problem, but there is currently no established methodology to express and verify the equivalence of two mixed-integer programs. In this work, we take a first s
Background: Apnea and intermittent hypoxemia (IH) are common developmental disorders in infants born earlier than 37 weeks' gestation. Caffeine administration has been shown to lower the incidence of these disorders in preterm infants. Cessation of caffeine treatment is based on different post-menstrual ages (PMA) and resolution of symptoms. There is uncertainty about the best timing for caffeine
We compute top quark pair production in association with a bottom quark pair at the LHC within the five-flavour scheme, matched to a parton shower, employing the FxFx merging scheme for tt¯+jets production with up to 2 jets at NLO accuracy. To enhance the selection efficiency for the events with b-jets within the inclusive five-flavour sample, we augment the generation probability of bottom quark
A system has been developed to convert manual wheelchairs into electric wheelchairs, providing assistance to users through the implemented algorithm, which ensures safe driving and obstacle avoidance. While manual wheelchairs are typically controlled indoors based on user preferences, they do not guarantee safe driving in areas outside the user’s field of vision. The proposed model utilizes the dy
The aim of this review is to raise awareness and knowledge among healthcare professionals and policymakers about late adverse effects in survivors of childhood leukemia. With contemporary treatment, over 90% of children with acute lymphoblastic leukemia (ALL) and over 60% with acute myeloid leukemia (AML) are cured. Large cohort studies demonstrate that 20% of ALL and most AML survivors have at le
We address the recognized person-to-person Brain–Computer Interface (BCI) calibration problem and tackle session-dependency through the use of unsupervised canonical polyadic (CP) tensor decomposition. For a motor imagery task, the approach reveals universal structures within EEG data, common between subjects and prominent for a certain task. Further, we develop a novel similarity measure that inc
Static program analysis plays a crucial role in ensuring the quality and security of software applications by detecting bugs and potential vulnerabilities in the code. Traditionally, these analyses are performed offline, either as part of the continuous integration/continuous deployment pipeline or overnight on the entire repository. However, this delayed feedback disrupts developer productivity,
Groundwater is an essential resource for drinking water, food production, and industrial applications worldwide. Over-exploitation and pollution pose significant risks to groundwater sustainability. Groundwater models can be powerful tools for optimizing use, managing risks, and aiding decision making. For this purpose, models should assimilate pertinent data and quantify uncertainties in outcomes
Joachim Wielandt’s petition for a privilege to print and sell 97 different books for 30 years (22 July 1721) and the following report by the University Consistory reveal the increasingly complex dynamic between royal policies and market realities in Denmark-Norway at the beginning of the eighteenth century. Read together, the petition and report highlight how ownership of printed texts was negotia
In recent years, more sophisticated DNA technologies for genotyping have enabled considerable progress in various fields such as clinical genetics, archaeogenetics and forensic genetics. DNA samples previously rejected as too challenging to analyze due to low amounts of degraded DNA can now provide useful information. To increase the chances of success with the new methodologies, it is crucial to
The Neumann–Neumann method is a commonly employed domain decomposition method for linear elliptic equations. However, the method exhibits slow convergence when applied to semilinear equations and does not seem to converge at all for certain quasilinear equations. We therefore propose two modified Neumann–Neumann methods that have better convergence properties and require fewer computations. We pro
In recent years, Knowledge Management (KM) has gained significant attention within the Information Systems (IS) community. The economic importance of data and information, often likened to “data as the new oil,” underscores the critical role of data/information/knowledge management. KM is crucial in both educational and organizational contexts. Despite growing interest, research in KM in Higher Ed
Product design requirements are becoming more and more complex, while the number of available materials is increasing. Polymeric materials are still dominant in many applications, replacing other manufacturing materials. Gears are one of the mechanical parts that are increasingly made of plastic. To effectively replace metal materials, the design process and product material must meet all applicat
