Mathematics
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Logarithmic connections on arithmetic surfaces and cohomology computation
(2022)De Rham cohomology is important across a broad range of mathematical fields. The good properties of de Rham cohomology on smooth and complex manifolds are also shared by those schemes which most closely resemble complex ... -
SENSITIVITY ANALYSIS AND STOCHASTIC OPTIMIZATIONS IN STOCHASTIC ACTIVITY NETWORKS
(2022)Activity networks are a powerful tool for modeling and analysis in project management, and in many other applications, such as circuit design and parallel computing. An activity network can be represented by a directed ... -
Working in Reverse: Advancing Inverse Optimization in the Fields of Equilibrium and Infrastructure Modeling
(2022)Transportation and infrastructure modeling allows us to pursue societal aims such as improved disaster management, traffic flow, and water allocation. Equilibrium programming enables us to represent the entities involved ... -
Causal Survival Analysis – Machine Learning Assisted Models: Structural Nested Accelerated Failure Time Model and Threshold Regression
(2022)Time-varying confounding for intervention complicates causal survival analysis when the data are collected in a longitudinal manner. Traditional survival models that only adjust for time-dependent covariates provide a ... -
Bayesian Methods and Their Application in Neuroimaging Data
(2022)The functional magnetic resonance imaging (fMRI) technique is widely used in the medical field because it allows the in vivo investigations of human cognition, emotions, and behaviors at the neural level. One primary ...