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Advent of Code 2023 in Haskell: Day 1

Lagrange duality

Strong duality

Fenchel duality

Dual solutions and the infimal value function

Weak duality and primal-dual optimality

Infimal value function and dual problem

Perturbation functions

Conjugate functions III: Examples

Conjugate functions II: Subdifferential and proximal points

Conjugate functions I: Definition and properties

Accelerated forward-backward IV: Conclusion

Accelerated forward-backward III: Convergence rate

Accelerated forward-backward I: Using previous iterations

Accelerated forward-backward II: Consecutive iterations

Forward-backward method V: Convergence rate and conclusion

Forward-backward method IV: Convergence to an optimal point

Forward-backward method III: The fundamental inequality

Forward-backward method II: The algorithm, a descent method

Forward-backward method I: Optimality conditions

Proximal points II: Uniqueness and inequality

Functions with Lipschitz continuous gradients

Proximal points I: Definition and existence

Subgradient method VI: Conclusion