Protected: Optimality conditions for equality-constrained optimization problems in machine learning
Optimality conditions for equality-constrained optimization problems in machine learning utilized in digital transformation, artificial intelligence, and machine learning tasks (inequality constrained optimization problems, effective constraint method, Lagrange multipliers, first order independence, local optimal solutions, true convex functions, strong duality theorem, minimax theorem, strong duality, global optimal solutions, second order optimality conditions, Lagrange undetermined multiplier method, gradient vector, first order optimization problems)