2 citations · 5 across the 9 of their papers we have counts for
9 papers
Interwoven SDP in Primal-Dual Proximal Splitting Methods for Adjustable Robust Convex Optimisation with SOS-Convex Polynomial Constraints
Neil D. Dizon, Bethany I. Caldwell, Vaithilingam Jeyakumar +1
We propose a novel methodology for solving a two-stage adjustable robust convex optimisation problem with a general (proximable) convex objective function and constraints defined b…
Online optimisation for dynamic electrical impedance tomography
Neil Dizon, Jyrki Jauhiainen, Tuomo Valkonen
Online optimisation studies the convergence of optimisation methods as the data embedded in the problem changes. Based on this idea, we propose a primal dual online method for nonl…
Differential estimates for fast first-order multilevel nonconvex optimisation
Neil Dizon, Tuomo Valkonen
With a view on bilevel and PDE-constrained optimisation, we develop iterative estimates of for composite functions , where is the…
Prediction techniques for dynamic imaging with online primal-dual methods
Neil Dizon, Jyrki Jauhiainen, Tuomo Valkonen
Online optimisation facilitates the solution of dynamic inverse problems, such as image stabilisation, fluid flow monitoring, and dynamic medical imaging. In this paper, we improve…
Quaternion-Valued Wavelets on the Plane: A Construction via the Douglas-Rachford Approach
Neil D. Dizon, Jeffrey A. Hogan
This paper presents a reformulation of the construction of nonseparable multiresolution quaternion-valued wavelets on the plane as a feasibility problem. The constraint sets in the…
Holistic Processing of Colour Images Using Novel Quaternion-Valued Wavelets on the Plane
Neil D. Dizon, Jeffrey A. Hogan
Recently, novel quaternion-valued wavelets on the plane were constructed using an optimisation approach. These wavelets are compactly supported, smooth, orthonormal, non-separable…
Constraint reduction reformulations for projection algorithms with applications to wavelet construction
Minh Dao, Neil Dizon, Jeffrey Hogan +1
We introduce a reformulation technique that converts a many-set feasibility problem into an equivalent two-set problem. This technique involves reformulating the original feasibili…
Centering Projection Methods for Wavelet Feasibility Problems
Neil Dizon, Jeffrey Hogan, Scott B. Lindstrom
We revisit the feasibility approach to the construction of compactly supported smooth orthogonal wavelets on the line. We highlight its flexibility and illustrate how symmetry and…
Circumcentering Reflection Methods for Nonconvex Feasibility Problems
Neil Dizon, Jeffrey Hogan, Scott B. Lindstrom
Recently, circumcentering reflection method (CRM) has been introduced for solving the feasibility problem of finding a point in the intersection of closed constraint sets. It is cl…