Mathematics at Deakin University

Activities of the Mathematics Research Lab and Teaching Team

Publication: Robust fitting for the Sugeno integral with respect to general fuzzy measures

Gleb Beliakov, Marek Gagolewski, Simon James Journal of Information Sciences https://doi.org/10.1016/j.ins.2019.11.024 Abstract The Sugeno integral is an expressive aggregation function with potential applications across a range of decision contexts. Its calculation requires only the lattice minimum and maximum operations, making it particularly suited to ordinal data and robust to scale transformations. However, for practical use […]

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Research Project: Scheduling and timetabling for pilot training

Funded by DSTG ALGORA Vicky Mak-Hau and Sergey Polyakovskiy This project aims to develop a highly intelligent planning tool that integrates simulation, optimisation and data analysis for the daily scheduling of training lessons while, at the same time, allocate limited resources under complex resource restrictions.

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Research Project: An optimisation-based framework for non-classical Chebyshev approximation

ARC Discovery grant Julien Ugon, Marco Lopez-Cerdá, Nadeza Sukhorukova, Vera Roshchina, Jean-Pierre Crouzeix and Nira Dyn This project aims to solve open problems in multivariate and piecewise polynomial approximation – two directions that correspond to fundamental obstacles to extending classical approximation results. Through an innovative combination of optimisation and algebraic technique, this project intends to […]

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Maths Seminar Series: Nadia Sukhorukova, Swinburne University of Technology – Optimisation in Real-Life Applications: Sleep and Disaster Management

Thursday 24 October, 2019 The Mathematics Research Lab welcomes Nadia Sukhorukova to present her research. Abstract In this presentation, Dr. Sukhorukova will talk about two large research projects. The 􏰙irst project is application of optimisation to biomedical signal processing and classi􏰙ication (done together with Dr. Zahra Roshan Zamir, graduated in December 2016). In this project […]

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Maths Seminar Series: Hoa Bui Tui, Federation University – On Fréchet Subdifferential Calculus with Applications to Nonsmooth and Nonconvex Optimization

Thursday 12 September 2019, 2.00pm – 3.00pm The Maths Research Lab welcomes Hoa Bui Tui to present her research. Abstract Most of optimization problems and many fundamental objects frequently appearing in the framework of variational analysis are non-smooth and non-convex. When dealing with non-smoothness, generalized subdifferential calculus becomes inevitably crucial. In this talk, we brie􏰙ly […]

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