Understanding FISTA's weak convergence: A step-by-step introduction to the 2025 milestone
Fuente:
arXiv
Saved in:
| Main Authors: | Bauschke, Heinz H., Moursi, Walaa M. |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Strong Convergence of FISTA for Affinely Constrained Convex Quadratic Minimization
by: Bartz, Sedi, et al.
Published: (2026)
by: Bartz, Sedi, et al.
Published: (2026)
Baillon-Bruck-Reich revisited: divergent-series parameters and strong convergence in the linear case
by: Bartz, Sedi, et al.
Published: (2025)
by: Bartz, Sedi, et al.
Published: (2025)
On Opial's Lemma
by: Arakcheev, Aleksandr, et al.
Published: (2025)
by: Arakcheev, Aleksandr, et al.
Published: (2025)
On a result by Baillon, Bruck, and Reich
by: Bauschke, Heinz H., et al.
Published: (2024)
by: Bauschke, Heinz H., et al.
Published: (2024)
Graph splitting methods: Fixed points and strong convergence for linear subspaces
by: Aragón-Artacho, Francisco J., et al.
Published: (2025)
by: Aragón-Artacho, Francisco J., et al.
Published: (2025)
Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
by: Bauschke, Heinz H., et al.
Published: (2024)
by: Bauschke, Heinz H., et al.
Published: (2024)
Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting
by: Atenas, Felipe, et al.
Published: (2025)
by: Atenas, Felipe, et al.
Published: (2025)
Splitting the Forward-Backward Algorithm: A Full Characterization
by: Åkerman, Anton, et al.
Published: (2025)
by: Åkerman, Anton, et al.
Published: (2025)
Boţ-Nguyen Acceleration, Weighted Mean Ergodic Iteration, and the Beta-Binomial Distribution
by: Bauschke, Heinz H., et al.
Published: (2026)
by: Bauschke, Heinz H., et al.
Published: (2026)
Linear convergence of relocated fixed-point iterations
by: Atenas, Felipe, et al.
Published: (2025)
by: Atenas, Felipe, et al.
Published: (2025)
The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection
by: Bauschke, Heinz H., et al.
Published: (2022)
by: Bauschke, Heinz H., et al.
Published: (2022)
New operator designs for Halpern iterations with explicit rates under Hölder error bounds
by: Barros, Pablo, et al.
Published: (2026)
by: Barros, Pablo, et al.
Published: (2026)
On the optimal relaxation parameter of graph-based splitting methods for subspaces
by: Aragón-Artacho, Francisco J., et al.
Published: (2026)
by: Aragón-Artacho, Francisco J., et al.
Published: (2026)
On a result by Meshulam
by: Bauschke, Heinz H., et al.
Published: (2025)
by: Bauschke, Heinz H., et al.
Published: (2025)
Distributed accelerated proximal conjugate gradient methods for multi-agent constrained optimization problems
by: Gebrie, Anteneh Getachew
Published: (2023)
by: Gebrie, Anteneh Getachew
Published: (2023)
Tikhonov regularization of monotone operator flows not only ensures strong convergence of the trajectories but also speeds up the vanishing of the residuals
by: Bot, Radu Ioan, et al.
Published: (2024)
by: Bot, Radu Ioan, et al.
Published: (2024)
On the Convergence of HalpernSGD
by: Colao, Vittorio, et al.
Published: (2026)
by: Colao, Vittorio, et al.
Published: (2026)
Forward-backward algorithms devised by graphs
by: Aragón-Artacho, Francisco J., et al.
Published: (2024)
by: Aragón-Artacho, Francisco J., et al.
Published: (2024)
Relaxed and inertial nonlinear Forward-Backward algorithm
by: Maulén, Juan José, et al.
Published: (2025)
by: Maulén, Juan José, et al.
Published: (2025)
A Three-Operator Splitting Scheme Derived from Three-Block ADMM
by: Anshika, Anshika, et al.
Published: (2024)
by: Anshika, Anshika, et al.
Published: (2024)
Relaxed and Inertial Nonlinear Forward-Backward with Momentum
by: Roldán, Fernando, et al.
Published: (2024)
by: Roldán, Fernando, et al.
Published: (2024)
Forward Primal-Dual Half-Forward Algorithm for Splitting Four Operators
by: Roldán, Fernando
Published: (2023)
by: Roldán, Fernando
Published: (2023)
On the Douglas-Rachford and Peaceman-Rachford algorithms in the presence of uniform monotonicity and the absence of minimizers
by: Burachik, Regina S., et al.
Published: (2022)
by: Burachik, Regina S., et al.
Published: (2022)
Computing the resolvent of the sum of maximally monotone operators with the averaged alternating modified reflections algorithm
by: Artacho, F. J. Aragón, et al.
Published: (2018)
by: Artacho, F. J. Aragón, et al.
Published: (2018)
Nonlinear forward-backward-half forward splitting with momentum for monotone inclusions
by: Qin, Liqian, et al.
Published: (2025)
by: Qin, Liqian, et al.
Published: (2025)
Nonlinear three-operator splitting algorithms with momentum for monotone inclusions
by: Qin, Liqian, et al.
Published: (2025)
by: Qin, Liqian, et al.
Published: (2025)
Fast Krasnoselskii-Mann Method with Overrelaxation and Preconditioners
by: Boţ, Radu I., et al.
Published: (2024)
by: Boţ, Radu I., et al.
Published: (2024)
Extra-Gradient Method with Flexible Anchoring: Strong Convergence and Fast Residual Decay
by: Boţ, Radu Ioan, et al.
Published: (2024)
by: Boţ, Radu Ioan, et al.
Published: (2024)
Quantization Robustness of Monotone Operator Equilibrium Networks
by: Li, James, et al.
Published: (2026)
by: Li, James, et al.
Published: (2026)
Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces
by: Berinde, Vasile
Published: (2024)
by: Berinde, Vasile
Published: (2024)
A hybrid method for countable equilibrium, variational inequality and maximal monotone inclusion problems with fixed point constraints
by: Uba, Markjoe O.
Published: (2026)
by: Uba, Markjoe O.
Published: (2026)
A robust regularized extreme learning machine for regression problems based on self-adaptive accelerated extra-gradient algorithm
by: Adegoke, Muideen, et al.
Published: (2024)
by: Adegoke, Muideen, et al.
Published: (2024)
Forward-Reflected-Backward and Shadow-Douglas--Rachford with partial inverse for Solving Monotone Inclusions
by: Roldán, Fernando
Published: (2023)
by: Roldán, Fernando
Published: (2023)
Backpropagation from KL Projections: Differential and Exact I-Projection Correspondences
by: Lal, Manish Krishan
Published: (2025)
by: Lal, Manish Krishan
Published: (2025)
Symplectic Extra-gradient Type Method for Solving General Non-monotone Inclusion Problem
by: Yuan, Ya-xiang, et al.
Published: (2024)
by: Yuan, Ya-xiang, et al.
Published: (2024)
Fast Optimistic Gradient Descent Ascent (OGDA) method in continuous and discrete time
by: Bot, Radu Ioan, et al.
Published: (2022)
by: Bot, Radu Ioan, et al.
Published: (2022)
A proximal-gradient inertial algorithm with Tikhonov regularization: strong convergence to the minimal norm solution
by: László, Szilárd Csaba
Published: (2024)
by: László, Szilárd Csaba
Published: (2024)
Linear rates of asymptotic regularity for Halpern-type iterations
by: Cheval, Horaţiu, et al.
Published: (2023)
by: Cheval, Horaţiu, et al.
Published: (2023)
A decentralised forward-backward-type algorithm with network-independent heterogenous agent step sizes
by: Tam, Matthew K, et al.
Published: (2025)
by: Tam, Matthew K, et al.
Published: (2025)
Weakly convergent fixed point iterations for weakly sequentially non-expansive mappings
by: Wihler, Thomas P.
Published: (2026)
by: Wihler, Thomas P.
Published: (2026)
Similar Items
-
Strong Convergence of FISTA for Affinely Constrained Convex Quadratic Minimization
by: Bartz, Sedi, et al.
Published: (2026) -
Baillon-Bruck-Reich revisited: divergent-series parameters and strong convergence in the linear case
by: Bartz, Sedi, et al.
Published: (2025) -
On Opial's Lemma
by: Arakcheev, Aleksandr, et al.
Published: (2025) -
On a result by Baillon, Bruck, and Reich
by: Bauschke, Heinz H., et al.
Published: (2024) -
Graph splitting methods: Fixed points and strong convergence for linear subspaces
by: Aragón-Artacho, Francisco J., et al.
Published: (2025)