Heinz H. Bauschke

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 40

Top Topics

Convex Combinations

Top Venues

Publications

Heinz H. Bauschke, Walaa M. Moursi
On the Douglas-Rachford Algorithm for Solving Possibly Inconsistent Optimization Problems. Math. Oper. Res. 49 (1) (2024)
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
Directional asymptotics of Fejér monotone sequences. Optim. Lett. 17 (3) (2023)
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces. J. Glob. Optim. 86 (1) (2023)
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
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. 33 (2) (2023)
Xianfu Wang, Heinz H. Bauschke
The Bregman Proximal Average. SIAM J. Optim. 32 (2) (2022)
Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang
Finding best approximation pairs for two intersections of closed convex sets. Comput. Optim. Appl. 81 (1) (2022)
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
Best approximation mappings in Hilbert spaces. Math. Program. 195 (1) (2022)
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces. CoRR (2021)
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
On the linear convergence of circumcentered isometry methods. Numer. Algorithms 87 (1) (2021)
Sedi Bartz, Heinz H. Bauschke, Hung M. Phan, Xianfu Wang
Multi-marginal maximal monotonicity and convex analysis. Math. Program. 185 (1-2) (2021)
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
The projection onto the cross. CoRR (2021)
Heinz H. Bauschke, Sylvain Gretchko, Walaa M. Moursi, Matthew Saurette
Edelstein's Astonishing Affine Isometry. Am. Math. Mon. 128 (9) (2021)
Salihah Alwadani, Heinz H. Bauschke, Julian P. Revalski, Xianfu Wang
The difference vectors for convex sets and a resolution of the geometry conjecture. Open J. Math. Optim. 2 (2021)
Salihah Alwadani, Heinz H. Bauschke, Xianfu Wang
Attouch-Théra Duality, Generalized Cycles, and Gap Vectors. SIAM J. Optim. 31 (3) (2021)
Heinz H. Bauschke, Walaa M. Moursi, Xianfu Wang
Generalized monotone operators and their averaged resolvents. Math. Program. 189 (1) (2021)
Heinz H. Bauschke, Walaa M. Moursi
On the Minimal Displacement Vector of Compositions and Convex Combinations of Nonexpansive Mappings. Found. Comput. Math. 20 (6) (2020)
Heinz H. Bauschke, Walaa M. Moursi
On the Behavior of the Douglas-Rachford Algorithm for Minimizing a Convex Function Subject to a Linear Constraint. SIAM J. Optim. 30 (3) (2020)
Heinz H. Bauschke, Regina Sandra Burachik, Daniel B. Herman, C. Yalçin Kaya
On Dykstra's algorithm: finite convergence, stalling, and the method of alternating projections. CoRR (2020)
Heinz H. Bauschke, Regina Sandra Burachik, Daniel B. Herman, C. Yalçin Kaya
On Dykstra's algorithm: finite convergence, stalling, and the method of alternating projections. Optim. Lett. 14 (8) (2020)
Heinz H. Bauschke, Minh N. Bùi, Xianfu Wang
Applying FISTA to optimization problems (with or) without minimizers. Math. Program. 184 (1) (2020)
Heinz H. Bauschke, Jérôme Bolte, Jiawei Chen, Marc Teboulle, Xianfu Wang
On Linear Convergence of Non-Euclidean Gradient Methods without Strong Convexity and Lipschitz Gradient Continuity. J. Optim. Theory Appl. 182 (3) (2019)
Heinz H. Bauschke, Minh N. Bùi, Xianfu Wang
On sums and convex combinations of projectors onto convex sets. J. Approx. Theory 242 (2019)
Heinz H. Bauschke, Minh N. Dao, Scott B. Lindstrom
The Douglas-Rachford algorithm for a hyperplane and a doubleton. J. Glob. Optim. 74 (1) (2019)
Heinz H. Bauschke, Minh N. Dao, Scott B. Lindstrom
Regularizing with Bregman-Moreau Envelopes. SIAM J. Optim. 28 (4) (2018)
Heinz H. Bauschke, Walaa M. Moursi
The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings. Optim. Lett. 12 (7) (2018)
Salihah Alwadani, Heinz H. Bauschke, Walaa M. Moursi, Xianfu Wang
On the asymptotic behaviour of the Aragón Artacho-Campoy algorithm. Oper. Res. Lett. 46 (6) (2018)
Heinz H. Bauschke, Minh N. Bùi, Xianfu Wang
Projecting onto the Intersection of a Cone and a Sphere. SIAM J. Optim. 28 (3) (2018)
Heinz H. Bauschke, Jason Schaad, Xianfu Wang
On Douglas-Rachford operators that fail to be proximal mappings. Math. Program. 168 (1-2) (2018)
Heinz H. Bauschke, Jérôme Bolte, Marc Teboulle
A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications. Math. Oper. Res. 42 (2) (2017)
Heinz H. Bauschke, Walaa M. Moursi
On the Douglas-Rachford algorithm. Math. Program. 164 (1-2) (2017)
Heinz H. Bauschke, Minh N. Dao
On the Finite Convergence of the Douglas-Rachford Algorithm for Solving (Not Necessarily Convex) Feasibility Problems in Euclidean Spaces. SIAM J. Optim. 27 (1) (2017)
Sedi Bartz, Heinz H. Bauschke, Xianfu Wang
The Resolvent Order: A Unification of the Orders by Zarantonello, by Loewner, and by Moreau. SIAM J. Optim. 27 (1) (2017)
Sedi Bartz, Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang
The Resolvent Average of Monotone Operators: Dominant and Recessive Properties. SIAM J. Optim. 26 (1) (2016)
Heinz H. Bauschke, Walaa M. Moursi
The Douglas-Rachford Algorithm for Two (Not Necessarily Intersecting) Affine Subspaces. SIAM J. Optim. 26 (2) (2016)
Heinz H. Bauschke, Walaa M. Moursi
On the order of the operators in the Douglas-Rachford algorithm. Optim. Lett. 10 (3) (2016)
Heinz H. Bauschke, José Yunier Bello Cruz, Tran T. A. Nghia, Hung M. Phan, Xianfu Wang
Optimal Rates of Linear Convergence of Relaxed Alternating Projections and Generalized Douglas-Rachford Methods for Two Subspaces. Numer. Algorithms 73 (1) (2016)
Heinz H. Bauschke, Minh Ngoc Dao, Dominikus Noll, Hung M. Phan
On Slater's condition and finite convergence of the Douglas-Rachford algorithm for solving convex feasibility problems in Euclidean spaces. J. Glob. Optim. 65 (2) (2016)
Heinz H. Bauschke, Valentin R. Koch, Hung M. Phan
Stadium Norm and Douglas-Rachford Splitting: A New Approach to Road Design Optimization. Oper. Res. 64 (1) (2016)
Heinz H. Bauschke, Warren L. Hare, Walaa M. Moursi
On the Range of the Douglas-Rachford Operator. Math. Oper. Res. 41 (3) (2016)
Heinz H. Bauschke, Minh N. Dao, Walaa M. Moursi
The Douglas-Rachford algorithm in the affine-convex case. Oper. Res. Lett. 44 (3) (2016)
Heinz H. Bauschke, Caifang Wang, Xianfu Wang, Jia Xu
On the Finite Convergence of a Projected Cutter Method. J. Optim. Theory Appl. 165 (3) (2015)
Heinz H. Bauschke, Warren L. Hare, Walaa M. Moursi
A derivative-free comirror algorithm for convex optimization. Optim. Methods Softw. 30 (4) (2015)
Heinz H. Bauschke, Caifang Wang, Xianfu Wang, Jia Xu
On Subgradient Projectors. SIAM J. Optim. 25 (2) (2015)
Heinz H. Bauschke, D. Russell Luke, Hung M. Phan, Xianfu Wang
Restricted Normal Cones and Sparsity Optimization with Affine Constraints. Found. Comput. Math. 14 (1) (2014)
Heinz H. Bauschke, José Yunier Bello Cruz, Tran T. A. Nghia, Hung M. Phan, Xianfu Wang
The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. J. Approx. Theory 185 (2014)
Heinz H. Bauschke, Warren L. Hare, Walaa M. Moursi
Generalized Solutions for the Sum of Two Maximally Monotone Operators. SIAM J. Control. Optim. 52 (2) (2014)
Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang
Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings. Math. Program. 139 (1-2) (2013)
Heinz H. Bauschke, Michel Théra, Henry Wolkowicz
Preface. Math. Program. 139 (1-2) (2013)
Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao
Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. Optim. Lett. 6 (8) (2012)
Heinz H. Bauschke, Xianfu Wang, Calvin J. S. Wylie
Fixed Points of Averages of Resolvents: Geometry and Algorithms. SIAM J. Optim. 22 (1) (2012)
Heinz H. Bauschke, Radu Ioan Bot, Warren L. Hare, Walaa M. Moursi
Attouch-Théra duality revisited: Paramonotonicity and operator splitting. J. Approx. Theory 164 (8) (2012)
Heinz H. Bauschke, Mason S. Macklem, Jason B. Sewell, Xianfu Wang
Klee sets and Chebyshev centers for the right Bregman distance. J. Approx. Theory 162 (6) (2010)
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
On Borwein--Wiersma Decompositions of Monotone Linear Relations. SIAM J. Optim. 20 (5) (2010)
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
Autoconjugate representers for linear monotone operators. Math. Program. 123 (1) (2010)
Heinz H. Bauschke, Xianfu Wang, Jane J. Ye, Xiaoming Yuan
Bregman distances and Klee sets. J. Approx. Theory 158 (2) (2009)
Heinz H. Bauschke, Frank Deutsch, Hein Hundal
Characterizing arbitrarily slow convergence in the method of alternating projections. Int. Trans. Oper. Res. 16 (4) (2009)
Yves Lucet, Heinz H. Bauschke, Mike Trienis
The piecewise linear-quadratic model for computational convex analysis. Comput. Optim. Appl. 43 (1) (2009)
Heinz H. Bauschke, Xianfu Wang, Jane J. Ye, Xiaoming Yuan
Bregman distances and Chebyshev sets. J. Approx. Theory 159 (1) (2009)
Heinz H. Bauschke
A Note on the Paper by Eckstein and Svaiter on "General Projective Splitting Methods for Sums of Maximal Monotone Operators". SIAM J. Control. Optim. 48 (4) (2009)
Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianfu Wang
The Proximal Average: Basic Theory. SIAM J. Optim. 19 (2) (2008)
Heinz H. Bauschke, Yves Lucet, Michael Trienis
How to Transform One Convex Function Continuously into Another. SIAM Rev. 50 (1) (2008)
Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang
Fitzpatrick Functions and Continuous Linear Monotone Operators. SIAM J. Optim. 18 (3) (2007)
Heinz H. Bauschke, Yves Lucet, Xianfu Wang
Primal-Dual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators. SIAM J. Control. Optim. 46 (6) (2007)
Heinz H. Bauschke, Patrick L. Combettes, Jean-Christophe Pesquet
A Decomposition Method for Nonsmooth Convex Variational Signal Recovery. ICASSP (5) (2006)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space. J. Approx. Theory 141 (1) (2006)
Heinz H. Bauschke, Martin von Mohrenschildt
Symbolic computation of Fenchel conjugates. ACM Commun. Comput. Algebra 40 (1) (2006)
Heinz H. Bauschke, Patrick L. Combettes, Serge G. Kruk
Extrapolation algorithm for affine-convex feasibility problems. Numer. Algorithms 41 (3) (2006)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
A new generation of iterative transform algorithms for phase contrast tomography. ICASSP (4) (2005)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. J. Approx. Theory 127 (2) (2004)
Heinz H. Bauschke, Christopher H. Hamilton, Mason S. Macklem, Justin S. McMichael, Nicholas R. Swart
Recompression of JPEG images by requantization. IEEE Trans. Image Process. 12 (7) (2003)
Heinz H. Bauschke
Duality for Bregman projections onto translated cones and affine subspaces. J. Approx. Theory 121 (1) (2003)
Heinz H. Bauschke, Jonathan M. Borwein, Patrick L. Combettes
Bregman Monotone Optimization Algorithms. SIAM J. Control. Optim. 42 (2) (2003)
Heinz H. Bauschke, Patrick L. Combettes
Iterating Bregman Retractions. SIAM J. Optim. 13 (4) (2003)
Heinz H. Bauschke, Chris H. Hamilton, Mason S. Macklem, Justin S. McMichael, Nicholas R. Swart
A requantization-based method for recompressing JPEG images. ICASSP (2002)
Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke
On the structure of some phase retrieval algorithms. ICIP (2) (2002)
Heinz H. Bauschke, Patrick L. Combettes
A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces. Math. Oper. Res. 26 (2) (2001)
Heinz H. Bauschke, Jonathan M. Borwein, Wu Li
Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization. Math. Program. 86 (1) (1999)
Heinz H. Bauschke, Dominikus Noll, Anna Celler, Jonathan M. Borwein
An EM-Algorithm for Dynamic SPECT. IEEE Trans. Medical Imaging 18 (3) (1999)
Heinz H. Bauschke, Jonathan M. Borwein
On Projection Algorithms for Solving Convex Feasibility Problems. SIAM Rev. 38 (3) (1996)