48 citations · 316 across the 115 of their papers we have counts for
128 papers
On Characterizations of (Almost) Strictly Convex Functions
Heinz H. Bauschke, Honglin Luo, Xianfu Wang
In this paper, we unify and improve existing results on characterizing strict and almost stricty convex functions via subdifferential mapping, Moreau envelope, and proximal mapping…
Finite Termination of a Generalized Perceptron Algorithm
Heinz H. Bauschke, Tran Thanh Tung
Motivated by Ridgway's proof of the perceptron algorithm, we study a simple subgradient method for convex inequality systems in Hilbert space. Assuming strict feasibility and bound…
Strong Convergence of FISTA for Affinely Constrained Convex Quadratic Minimization
Sedi Bartz, Heinz H. Bauschke, Yuan Gao +1
In October 2025, research by Boţ, Fadili, and Nguyen, and by Jang and Ryu, led to the seminal result that Beck and Teboulle's FISTA converges weakly to a minimizer of the sum of tw…
Boţ-Nguyen Acceleration, Weighted Mean Ergodic Iteration, and the Beta-Binomial Distribution
Heinz H. Bauschke, Yuan Gao
In 2023, Boţ and Nguyen introduced a new class of accelerated algorithms for finding a fixed point of a nonexpansive operator as the weak limit of a sequence. In this paper, we ana…
Mathematical Proof
Heinz H. Bauschke
These Course Notes provide an introduction to mathematical proofs for undergraduate students transitioning from computational calculus to abstract mathematics. Topics include propo…
Understanding FISTA's weak convergence: A step-by-step introduction to the 2025 milestone
Heinz H. Bauschke, Walaa M. Moursi
Beck and Teboulle's FISTA for finding the minimizer of the sum of two convex functions is one of the most important algorithms of the past decades. While function value convergence…