Heinz H. Bauschke

86 papers Misc 1Journal 78Unranked 3
YearRankTypeTitle / Venue / Authors
2025 J jnl
On a result by Meshulam.
CoRR
Heinz H. Bauschke, Tran Thanh Tung
2025 J jnl
On the Bredies-Chenchene-Lorenz-Naldi Algorithm: Linear Relations and Strong Convergence.
SIAM J. Optim.
Heinz H. Bauschke, Walaa M. Moursi, Shambhavi Singh, Xianfu Wang
2024 J jnl
How to project onto the intersection of a closed affine subspace and a hyperplane.
Math. Methods Oper. Res.
Heinz H. Bauschke, Dayou Mao, Walaa M. Moursi
2024 J jnl
On the Douglas-Rachford Algorithm for Solving Possibly Inconsistent Optimization Problems.
Math. Oper. Res.
Heinz H. Bauschke, Walaa M. Moursi
2023 J jnl
Directional asymptotics of Fejér monotone sequences.
Optim. Lett.
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
2023 J jnl
Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces.
J. Glob. Optim.
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
2023 J jnl
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.
SIAM J. Optim.
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
2022 J jnl
Best approximation mappings in Hilbert spaces.
Math. Program.
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
2022 J jnl
Finding best approximation pairs for two intersections of closed convex sets.
Comput. Optim. Appl.
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
2022 J jnl
The Bregman Proximal Average.
SIAM J. Optim.
Xianfu Wang, Heinz H. Bauschke
2021 J jnl
Attouch-Théra Duality, Generalized Cycles, and Gap Vectors.
SIAM J. Optim.
Salihah Alwadani, Heinz H. Bauschke, Xianfu Wang
2021 J jnl
Edelstein's Astonishing Affine Isometry.
Am. Math. Mon.
Heinz H. Bauschke, Sylvain Gretchko, Walaa M. Moursi, Matthew Saurette
2021 J jnl
Generalized monotone operators and their averaged resolvents.
Math. Program.
Heinz H. Bauschke, Walaa M. Moursi, Xianfu Wang
2021 J jnl
Multi-marginal maximal monotonicity and convex analysis.
Math. Program.
Sedi Bartz, Heinz H. Bauschke, Hung M. Phan, Xianfu Wang
2021 J jnl
On the linear convergence of circumcentered isometry methods.
Numer. Algorithms
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
2021 J jnl
Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces.
CoRR
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
2021 J jnl
The difference vectors for convex sets and a resolution of the geometry conjecture.
Open J. Math. Optim.
Salihah Alwadani, Heinz H. Bauschke, Julian P. Revalski, Xianfu Wang
2021 J jnl
The projection onto the cross.
CoRR
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
2020 J jnl
Applying FISTA to optimization problems (with or) without minimizers.
Math. Program.
Heinz H. Bauschke, Minh N. Bùi, Xianfu Wang
2020 J jnl
On Dykstra's algorithm: finite convergence, stalling, and the method of alternating projections.
CoRR
Heinz H. Bauschke, Regina Sandra Burachik, Daniel B. Herman, C. Yalçin Kaya
2020 J jnl
On Dykstra's algorithm: finite convergence, stalling, and the method of alternating projections.
Optim. Lett.
Heinz H. Bauschke, Regina Sandra Burachik, Daniel B. Herman, C. Yalçin Kaya
2020 J jnl
On the Behavior of the Douglas-Rachford Algorithm for Minimizing a Convex Function Subject to a Linear Constraint.
SIAM J. Optim.
Heinz H. Bauschke, Walaa M. Moursi
2020 J jnl
On the Minimal Displacement Vector of Compositions and Convex Combinations of Nonexpansive Mappings.
Found. Comput. Math.
Heinz H. Bauschke, Walaa M. Moursi
2019 J jnl
On Linear Convergence of Non-Euclidean Gradient Methods without Strong Convexity and Lipschitz Gradient Continuity.
J. Optim. Theory Appl.
Heinz H. Bauschke, Jérôme Bolte, Jiawei Chen, Marc Teboulle, Xianfu Wang
2019 J jnl
On sums and convex combinations of projectors onto convex sets.
J. Approx. Theory
Heinz H. Bauschke, Minh N. Bùi, Xianfu Wang
2019 J jnl
The Douglas-Rachford algorithm for a hyperplane and a doubleton.
J. Glob. Optim.
Heinz H. Bauschke, Minh N. Dao, Scott B. Lindstrom
2018 J jnl
On Douglas-Rachford operators that fail to be proximal mappings.
Math. Program.
Heinz H. Bauschke, Jason Schaad, Xianfu Wang
2018 J jnl
On the asymptotic behaviour of the Aragón Artacho-Campoy algorithm.
Oper. Res. Lett.
Salihah Alwadani, Heinz H. Bauschke, Walaa M. Moursi, Xianfu Wang
2018 J jnl
Projecting onto the Intersection of a Cone and a Sphere.
SIAM J. Optim.
Heinz H. Bauschke, Minh N. Bùi, Xianfu Wang
2018 J jnl
Regularizing with Bregman-Moreau Envelopes.
SIAM J. Optim.
Heinz H. Bauschke, Minh N. Dao, Scott B. Lindstrom
2018 J jnl
The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings.
Optim. Lett.
Heinz H. Bauschke, Walaa M. Moursi
2017 J jnl
A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications.
Math. Oper. Res.
Heinz H. Bauschke, Jérôme Bolte, Marc Teboulle
2017 J jnl
On the Douglas-Rachford algorithm.
Math. Program.
Heinz H. Bauschke, Walaa M. Moursi
2017 J jnl
On the Finite Convergence of the Douglas-Rachford Algorithm for Solving (Not Necessarily Convex) Feasibility Problems in Euclidean Spaces.
SIAM J. Optim.
Heinz H. Bauschke, Minh N. Dao
2017 J jnl
The Resolvent Order: A Unification of the Orders by Zarantonello, by Loewner, and by Moreau.
SIAM J. Optim.
Sedi Bartz, Heinz H. Bauschke, Xianfu Wang
2016 J jnl
On Slater's condition and finite convergence of the Douglas-Rachford algorithm for solving convex feasibility problems in Euclidean spaces.
J. Glob. Optim.
Heinz H. Bauschke, Minh Ngoc Dao, Dominikus Noll, Hung M. Phan
2016 J jnl
On the Range of the Douglas-Rachford Operator.
Math. Oper. Res.
Heinz H. Bauschke, Warren L. Hare, Walaa M. Moursi
2016 J jnl
On the order of the operators in the Douglas-Rachford algorithm.
Optim. Lett.
Heinz H. Bauschke, Walaa M. Moursi
2016 J jnl
Optimal Rates of Linear Convergence of Relaxed Alternating Projections and Generalized Douglas-Rachford Methods for Two Subspaces.
Numer. Algorithms
Heinz H. Bauschke, José Yunier Bello Cruz, Tran T. A. Nghia, Hung M. Phan, Xianfu Wang
2016 J jnl
Stadium Norm and Douglas-Rachford Splitting: A New Approach to Road Design Optimization.
Oper. Res.
Heinz H. Bauschke, Valentin R. Koch, Hung M. Phan
2016 J jnl
The Douglas-Rachford Algorithm for Two (Not Necessarily Intersecting) Affine Subspaces.
SIAM J. Optim.
Heinz H. Bauschke, Walaa M. Moursi
2016 J jnl
The Douglas-Rachford algorithm in the affine-convex case.
Oper. Res. Lett.
Heinz H. Bauschke, Minh N. Dao, Walaa M. Moursi
2016 J jnl
The Resolvent Average of Monotone Operators: Dominant and Recessive Properties.
SIAM J. Optim.
Sedi Bartz, Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang
2015 J jnl
A derivative-free comirror algorithm for convex optimization.
Optim. Methods Softw.
Heinz H. Bauschke, Warren L. Hare, Walaa M. Moursi
2015 J jnl
On Subgradient Projectors.
SIAM J. Optim.
Heinz H. Bauschke, Caifang Wang, Xianfu Wang, Jia Xu
2015 J jnl
On the Finite Convergence of a Projected Cutter Method.
J. Optim. Theory Appl.
Heinz H. Bauschke, Caifang Wang, Xianfu Wang, Jia Xu
2014 J jnl
Generalized Solutions for the Sum of Two Maximally Monotone Operators.
SIAM J. Control. Optim.
Heinz H. Bauschke, Warren L. Hare, Walaa M. Moursi
2014 J jnl
Restricted Normal Cones and Sparsity Optimization with Affine Constraints.
Found. Comput. Math.
Heinz H. Bauschke, D. Russell Luke, Hung M. Phan, Xianfu Wang
2014 J jnl
The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle.
J. Approx. Theory
Heinz H. Bauschke, José Yunier Bello Cruz, Tran T. A. Nghia, Hung M. Phan, Xianfu Wang
2013 J jnl
Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings.
Math. Program.
Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang
2013 J jnl
Preface.
Math. Program.
Heinz H. Bauschke, Michel Théra, Henry Wolkowicz
2012 J jnl
Attouch-Théra duality revisited: Paramonotonicity and operator splitting.
J. Approx. Theory
Heinz H. Bauschke, Radu Ioan Bot, Warren L. Hare, Walaa M. Moursi
2012 J jnl
Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type.
Optim. Lett.
Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao
2012 J jnl
Fixed Points of Averages of Resolvents: Geometry and Algorithms.
SIAM J. Optim.
Heinz H. Bauschke, Xianfu Wang, Calvin J. S. Wylie
2011 — ch.
Chebyshev Sets, Klee Sets, and Chebyshev Centers with Respect to Bregman Distances: Recent Results and Open Problems.
Fixed-Point Algorithms for Inverse Problems in Science and Engineering
Heinz H. Bauschke, Mason S. Macklem, Xianfu Wang
2011 — book
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Heinz H. Bauschke, Patrick L. Combettes
2011 — book
Fixed-Point Algorithms for Inverse Problems in Science and Engineering
Heinz H. Bauschke, Regina Sandra Burachik, Patrick L. Combettes, Veit Elser, D. Russell Luke, Henry Wolkowicz
2011 — ch.
Self-Dual Smooth Approximations of Convex Functions via the Proximal Average.
Fixed-Point Algorithms for Inverse Problems in Science and Engineering
Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang
2010 J jnl
Autoconjugate representers for linear monotone operators.
Math. Program.
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
2010 J jnl
Klee sets and Chebyshev centers for the right Bregman distance.
J. Approx. Theory
Heinz H. Bauschke, Mason S. Macklem, Jason B. Sewell, Xianfu Wang
2010 J jnl
On Borwein--Wiersma Decompositions of Monotone Linear Relations.
SIAM J. Optim.
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
2009 J jnl
A Note on the Paper by Eckstein and Svaiter on "General Projective Splitting Methods for Sums of Maximal Monotone Operators".
SIAM J. Control. Optim.
Heinz H. Bauschke
2009 J jnl
Bregman distances and Chebyshev sets.
J. Approx. Theory
Heinz H. Bauschke, Xianfu Wang, Jane J. Ye, Xiaoming Yuan
2009 J jnl
Bregman distances and Klee sets.
J. Approx. Theory
Heinz H. Bauschke, Xianfu Wang, Jane J. Ye, Xiaoming Yuan
2009 J jnl
Characterizing arbitrarily slow convergence in the method of alternating projections.
Int. Trans. Oper. Res.
Heinz H. Bauschke, Frank Deutsch, Hein Hundal
2009 J jnl
The piecewise linear-quadratic model for computational convex analysis.
Comput. Optim. Appl.
Yves Lucet, Heinz H. Bauschke, Mike Trienis
2008 J jnl
How to Transform One Convex Function Continuously into Another.
SIAM Rev.
Heinz H. Bauschke, Yves Lucet, Michael Trienis
2008 J jnl
The Proximal Average: Basic Theory.
SIAM J. Optim.
Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianfu Wang
2007 J jnl
Fitzpatrick Functions and Continuous Linear Monotone Operators.
SIAM J. Optim.
Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang
2007 J jnl
Primal-Dual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators.
SIAM J. Control. Optim.
Heinz H. Bauschke, Yves Lucet, Xianfu Wang
2006 — conf
A Decomposition Method for Nonsmooth Convex Variational Signal Recovery.
ICASSP (5)
Heinz H. Bauschke, Patrick L. Combettes, Jean-Christophe Pesquet
2006 J jnl
A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space.
J. Approx. Theory
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
2006 J jnl
Extrapolation algorithm for affine-convex feasibility problems.
Numer. Algorithms
Heinz H. Bauschke, Patrick L. Combettes, Serge G. Kruk
2006 J jnl
Symbolic computation of Fenchel conjugates.
ACM Commun. Comput. Algebra
Heinz H. Bauschke, Martin von Mohrenschildt
2005 — conf
A new generation of iterative transform algorithms for phase contrast tomography.
ICASSP (4)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
2004 J jnl
Finding best approximation pairs relative to two closed convex sets in Hilbert spaces.
J. Approx. Theory
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
2003 J jnl
Bregman Monotone Optimization Algorithms.
SIAM J. Control. Optim.
Heinz H. Bauschke, Jonathan M. Borwein, Patrick L. Combettes
2003 J jnl
Duality for Bregman projections onto translated cones and affine subspaces.
J. Approx. Theory
Heinz H. Bauschke
2003 J jnl
Iterating Bregman Retractions.
SIAM J. Optim.
Heinz H. Bauschke, Patrick L. Combettes
2003 J jnl
Recompression of JPEG images by requantization.
IEEE Trans. Image Process.
Heinz H. Bauschke, Christopher H. Hamilton, Mason S. Macklem, Justin S. McMichael, Nicholas R. Swart
2002 Misc conf
A requantization-based method for recompressing JPEG images.
ICASSP
Heinz H. Bauschke, Chris H. Hamilton, Mason S. Macklem, Justin S. McMichael, Nicholas R. Swart
2002 — conf
On the structure of some phase retrieval algorithms.
ICIP (2)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
2001 J jnl
A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces.
Math. Oper. Res.
Heinz H. Bauschke, Patrick L. Combettes
1999 J jnl
An EM-Algorithm for Dynamic SPECT.
IEEE Trans. Medical Imaging
Heinz H. Bauschke, Dominikus Noll, Anna Celler, Jonathan M. Borwein
1999 J jnl
Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization.
Math. Program.
Heinz H. Bauschke, Jonathan M. Borwein, Wu Li
1996 J jnl
On Projection Algorithms for Solving Convex Feasibility Problems.
SIAM Rev.
Heinz H. Bauschke, Jonathan M. Borwein