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Dr Ngoc Dao

Lecturer, Applied Mathematics and Statistics

School of Engineering, IT and Phys. Sci.

Section/Portfolio:

Mathematics

Location:

Mt Helen Campus, Online

Constraint Reduction Reformulations for Projection Algorithms with Applications to Wavelet Construction

We introduce a reformulation technique that converts a many-set feasibility problem into an...

The generalized Bregman distance

Recently, a new kind of distance has been introduced for the graphs of two point-to-set...

A Joint Scheduling and Power Control Scheme for Hybrid I2V/V2V Networks

In automotive infotainment systems, vehicles using the applications are serviced via continuous...

Cell-Free Massive MIMO for Wireless Federated Learning

This paper proposes a novel scheme for cell-free massive multiple-input multiple-output (CFmMIMO)...

Computing the resolvent of the sum of operators with application to best approximation problems

We propose a flexible approach for computing the resolvent of the sum of weakly monotone...

Energy-efficient full-duplex enabled cloud radio access networks

This paper studies the joint optimization of precoding, transmit power and data rate allocation...

Adaptive Douglas-Rachford Splitting Algorithm for the Sum of Two Operators

The Douglas–Rachford algorithm is a classical and powerful splitting method for minimizing the...

A Lyapunov-type approach to convergence of the Douglas–Rachford algorithm for a nonconvex setting

The Douglas–Rachford projection algorithm is an iterative method used to find a point in the...

Linear convergence of projection algorithms

Projection algorithms are well known for their simplicity and flexibility in solving feasibility...

The Douglas–Rachford algorithm for a hyperplane and a doubleton

The Douglas–Rachford algorithm is a popular algorithm for solving both convex and nonconvex...

Union Averaged Operators with Applications to Proximal Algorithms for Min-Convex Functions

In this paper, we introduce and study a class of structured set-valued operators, which we call...

Energy Efficiency Maximization for Downlink Cloud Radio Access Networks with Data Sharing and Data Compression

This paper aims to maximize the energy efficiency of a downlink cloud radio access network...

Energy-Efficient Design for Downlink Cloud Radio Access Networks

This work aims to maximize the energy efficiency of a downlink cloud radio access network...

Linear convergence of the generalized Douglas–Rachford algorithm for feasibility problems

In this paper, we study the generalized Douglas–Rachford algorithm and its cyclic variants which...

Regularizing with Bregman–Moreau envelopes

Moreau’s seminal paper, introducing what is now called the Moreau envelope and the proximity...

Spectral and energy efficiency maximization for content-centric C-RANs with edge caching

This paper aims to maximize the spectral and energy efficiencies of a content-centric cloud radio...

On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces

Solving feasibility problems is a central task in mathematics and the applied sciences. One...

Nonconvex bundle method with application to a delamination problem

Delamination is a typical failure mode of composite materials caused by weak bonding. It arises...

On Slater’s condition and finite convergence of the Douglas–Rachford algorithm for solving convex feasibility problems in Euclidean spaces

The Douglas–Rachford algorithm is a classical and very successful method for solving optimization...

Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: A case study

Many iterative methods for solving optimization or feasibility problems have been invented, and...

  • Journals

The Douglas-Rachford algorithm in the affine-convex case

The Douglas-Rachford algorithm is a simple yet effective method for solving convex feasibility...

Bundle method for nonconvex nonsmooth constrained optimization

The paper develops a nonconvex bundle method based on the downshift mechanism and a proximity...

  • Journals

Minimizing memory effects of a system

Given a stable linear time-invariant system with tunable parameters, we present a method to tune...

On Fejér monotone sequences and nonexpansive mappings

The notion of Fejer monotonicity has proven to be a fruitful concept in fixed point theory and...

  • Journals

Parametric Robust Structured Control Design

We present a new approach to parametric robust controller design, where we compute controllers of...

Robust eigenstructure clustering by non-smooth optimisation

We extend classical eigenstructure assignment to more realistic problems, where additional...

Minimizing the memory of a system

Consider a stable linear time-invariant system G(x) with tunable parameters x Rn, which maps...

Optimized eigenstructure assignment

This paper considers the problem of eigenstructure assignment for output feedback control. We...

  • Conference Proceedings

Simultaneous plant and controller optimization based on non-smooth techniques

We present an approach to simultaneous design optimization of a plant and its controller. This is...

  • Conference Proceedings