Gradient DescentCovers the concept of gradient descent in scalar cases, focusing on finding the minimum of a function by iteratively moving in the direction of the negative gradient.
Optimizing Recursive QueriesExplores optimizing recursive queries in database systems using Datalog and semirings, discussing the challenges and solutions in data analytics.
Optimization MethodsCovers optimization methods without constraints, including gradient and line search in the quadratic case.
Degree of Freedom AnalysisExplores degree of freedom analysis, redundancy, and data reconciliation in process modeling and optimization.
Nonlinear OptimizationCovers line search, Newton's method, BFGS, and conjugate gradient in nonlinear optimization.
Optimisation in Energy SystemsExplores optimization in energy system modeling, covering decision variables, objective functions, and different strategies with their pros and cons.