About
I am a researcher in mathematics. My research interests are nonsmooth optimisation, approximation theory, and their applications.
I obtained my PhD in 2005, under the guidance of Prof. Alexander Rubinov. I then worked at the University of Ballarat/Federation University for 12 years, first as a research fellow, and then as a lecturer in mathematics. I am now with the school of Information Technology at Deakin University. I am also a honorary research fellow with CIAO at Federation University.
Research
Research Projects
Here are some projects I have worked on:
- Applications of optimisation to approximation theory. Funded by ARC Discovery grant DP180100602. See [14, 15, 17, 19, 20, 22, 25, 32, 33, 35, 70]
- Optimization Algorithms. See [4, 47, 52, 53, 57, 59, 79]
- Data Analysis. See [31, 34, 36, 40, 43, 44, 48–50, 54, 60–66, 71, 72, 78, 81]
- Discrete Geometry (Graphs of Polytopes). See [8, 9, 13, 21, 23, 24, 28–30]
- Applications of Optimisation.
Research Funding
- ARC Discovery Project DP180100602
- An optimisation-based framework for non-classical Chebyshev approximation
- NeCTAR Development Grant (2012)
- Industrial Ecology Virtual Laboratory $1,098,139, with CISA (University of Sydney), CSIRO, University of New South Wales, University of Queensland, Griffith University, University of South Australia, Intersect
- IBM Smarter Planet Academic Initiatives Award
- Operations Research for Transportation Course Development $10,000 (2010), with Guillermo Pineda Villavicencio and Nadezda Sukorukova
- UB–Deakin Collaboration Grant
- $136,635 (2009)
Publications
See my papers on arXiv or on my ORCID profile.
Preprints
- S. Y. Chan, K. Morgan and J. Ugon Bounds on the Inducibility of Double Loop Graphs. arXiv: 2202.00411⭳
@Unpublished{ chan.ea:nd, author = {Chan, Su Yuan and Morgan, Kerri and Ugon, Julien}, title = {Bounds On The Inducibility Of Double Loop Graphs} }
- R. Díaz Millán, O. P. Ferreira and J. Ugon Extragradient Method with Feasible Inexact Projection to Variational Inequality Problem. arXiv: 2309.00648⭳
@Unpublished{ díaz-millán.ea:nd:2, author = {Díaz Millán, R. and Ferreira, O. P. and Ugon, J.}, title = {Extragradient method with feasible inexact projection to variational inequality problem} }
- R. Díaz Millán, O. P. Ferreira and J. Ugon Frank-Wolfe Algorithm for DC Optimization Problem. arXiv: 2308.16444⭳
@Unpublished{ díaz-millán.ea:nd:1, author = {Díaz Millán, R. and Ferreira, O. P. and Ugon, J.}, title = {{F}rank-{W}olfe algorithm for DC optimization problem} }
- R. Díaz Millán, N. Sukhorukova and J. Ugon Variational Properties of the Abstract Subdifferential Operator. arXiv: 2206.02565⭳
@Unpublished{ díaz-millán.ea:nd, author = {Díaz Millán, Reinier and Sukhorukova, Nadezda and Ugon, Julien},title = {Variational properties of the abstract subdifferential operator} }
- R. Díaz Millán and J. Ugon Proximal-Point-Like Algorithms for Abstract Convex Minimisation Problems. arXiv: 2402.04281⭳
@Unpublished{ díaz-millán.ea:nd:3, author = {Díaz Millán, Reinier and Ugon, Julien}, title = {Proximal-point-like algorithms for abstract convex minimisation problems} }
- V. Peiris, R. Diaz Millan, N. Sukhorukova and J. Ugon A Comparison of Rational and Neural Network Based Approximations. arXiv: 2303.044361⭳
@Unpublished{ peiris.ea:nd, author = {Peiris, Vinesha and Diaz Millan, Reinier and Sukhorukova, Nadezda and Ugon, Julien},title = {A comparison of rational and neural network based approximations} }
- V. Peiris, N. Sharon, N. Sukhorukova and J. Ugon Flexible Rational Approximation for Matrix Functions⭳
@Unpublished{ peiris.ea:nd:1, author = {Peiris, Vinesha and Sharon, Nir and Sukhorukova, Nadia and Ugon, Julien},title = {Flexible rational approximation for matrix functions} }
Journal Articles
- H. T. Bui, G. Pineda-Villavicencio and J. Ugon (2024). The linkedness of cubical polytopes: Beyond the cube. Discrete Mathematics. Elsevier BV. 347 p. 113801. arXiv: 2009.07071. doi: 10.1016/j.disc.2023.113801⭳
@Article{ bui.ea:2024, author = {Bui, Hoa T. and Pineda-Villavicencio, Guillermo and Ugon, Julien},title = {The linkedness of cubical polytopes: Beyond the cube}, volume = {347}, pages = {113801}, number = {3} }
- V. Pilaud, G. Pineda-Villavicencio and J. Ugon (2023). Edge connectivity of simplicial polytopes. European Journal of Combinatorics. Elsevier BV. 113 p. 103752. arXiv: 2111.07050. doi: 10.1016/j.ejc.2023.103752⭳
@Article{ pilaud.ea:2023, author = {Pilaud, Vincent and Pineda-Villavicencio, Guillermo and Ugon, Julien},title = {Edge connectivity of simplicial polytopes}, volume = {113}, pages = {103752} }
- R. Díaz Millán, O. P. Ferreira and J. Ugon (2023). Approximate Douglas–Rachford algorithm for two-sets convex feasibility problems. Journal of Global Optimization. Springer Science; Business Media LLC. 86 p. 621–36. arXiv: 2105.13005. doi: 10.1007/s10898-022-01264-7⭳
@Article{ díaz-millán.ea:2023, author = {Díaz Millán, R. and Ferreira, O. P. and Ugon, J.}, title = {Approximate {D}ouglas–{R}achford algorithm for two-sets convex feasibility problems},volume = {86}, pages = {621--636}, number = {3} }
- R. Díaz Millán, N. Sukhorukova and J. Ugon (2023). Applications and issues in abstract convexity. Communications in Optimization Theory. Mathematical Research Press. 2023. arXiv: 2202.09959. doi: 10.23952/cot.2023.1⭳
@Article{ díaz-millán.ea:2023:1, author = {Díaz Millán, Reinier and Sukhorukova, Nadezda and Ugon, Julien},title = {Applications and issues in abstract convexity}, volume = {2023} }
- N. Parsons, J. Ugon, K. Morgan, S. Shelyag, A. Hocking, S. Y. Chan, G. Poudel, J. F. Domìnguez D and K. Caeyenberghs (2022). Structural-functional connectivity bandwidth of the human brain. NeuroImage. Elsevier BV. 263 p. 119659. https://www.sciencedirect.com/science/article/pii/S1053811922007807. doi: 10.1016/j.neuroimage.2022.119659⭳
@Article{ parsons.ea:2022, author = {Parsons, Nicholas and Ugon, Julien and Morgan, Kerri and Shelyag, Sergiy and Hocking, Alex and Chan, Su Yuan and Poudel, Govinda and Domìnguez D, Juan F. and Caeyenberghs, Karen},title = {Structural-functional connectivity bandwidth of the human brain},volume = {263}, pages = {119659} }
- L. K. Jørgensen, G. Pineda-Villavicencio and J. Ugon (2022). Linkedness of cartesian products of complete graphs. Ars Mathematica Contemporeana. University of Primorska Press. arXiv: 2012.05576. doi: 10.26493/1855-3974.2577.25d⭳
@Article{ jørgensen.ea:2022, author = {Jørgensen, Leif K. and Pineda-Villavicencio, Guillermo and Ugon, Julien},title = {Linkedness of Cartesian products of complete graphs} }
- R. Díaz Millán, V. Peiris, N. Sukhorukova and J. Ugon (2022). Multivariate approximation by polynomial and generalized rational functions. Optimization. Informa UK Limited. p. 1–7. arXiv: 2101.11786. doi: 10.1080/02331934.2022.2044478⭳
@Article{ díaz-millán.ea:2022:1, author = {Díaz Millán, Reinier and Peiris, Vinesha and Sukhorukova, Nadezda and Ugon, Julien},title = {Multivariate approximation by polynomial and generalized rational functions},pages = {1--17} }
- R. Díaz Millán, N. Sukhorukova and J. Ugon (2022). An algorithm for best generalised rational approximation of continuous functions. Set-Valued and Variational Analysis. Springer Science; Business Media LLC. arXiv: 2011.02721. doi: 10.1007/s11228-021-00625-w⭳
@Article{ díaz-millán.ea:2022, author = {Díaz Millán, Reinier and Sukhorukova, Nadezda and Ugon, Julien},title = {An Algorithm for Best Generalised Rational Approximation of Continuous Functions} }
- G. Pineda-Villavicencio, J. Ugon and D. Yost (2022). Minimum number of edges of polytopes with 2d + 2 vertices. Electronic Journal of Combinatorics. 29. https://www.combinatorics.org/ojs/index.php/eljc/article/view/v29i3p18. doi: 10.37236/10374⭳
@Article{ pineda-villavicencio.ea:2022, author = {Pineda-Villavicencio, Guillermo and Ugon, Julien and Yost, David},title = {Minimum number of edges of polytopes with $2d + 2$ vertices},volume = {29} }
- N. Sukhorukova and J. Ugon (2022). A generalisation of de la Vallée-Poussin procedure to multivariate approximations. Advances in Computational Mathematics. Springer Science; Business Media LLC. 48. arXiv: 1708.09125. doi: 10.1007/s10444-021-09919-x⭳
@Article{ sukhorukova.ea:2022, author = {Sukhorukova, Nadezda and Ugon, Julien}, title = {A generalisation of de la {V}allée-{P}oussin procedure to multivariate approximations},volume = {48}, number = {1} }
- S. Y. Chan, K. Morgan, N. Parsons and J. Ugon (2021). Supernodes: A generalization of the rich-club. Journal of Complex Networks. Oxford University Press (OUP). 10. arXiv: 2108.10458. doi: 10.1093/comnet/cnab052⭳
@Article{ chan.ea:2021, author = {Chan, Su Yuan and Morgan, Kerri and Parsons, Nicholas and Ugon, Julien},title = {Supernodes: a generalization of the rich-club}, volume = {10}, number = {1} }
- A. Aghili, N. Sukhorukova and J. Ugon (2021). Bivariate rational approximations of the general temperature integral. Journal of Mathematical Chemistry. Springer Science; Business Media LLC. 59 p. 2049–62. doi: 10.1007/s10910-021-01273-z⭳
@Article{ aghili.ea:2021, author = {Aghili, Alireza and Sukhorukova, Nadezda and Ugon, Julien},title = {Bivariate rational approximations of the general temperature integral},volume = {59}, pages = {2049--2062}, number = {9} }
- N. Sukhorukova, J. Ugon and D. Yost (2021). Chebyshev multivariate polynomial approximation and point reduction procedure. Constructive Approximation. Springer US. 53 p. 529–44. arXiv: 1708.09743. doi: 10.1007/s00365-019-09488-9⭳
@Article{ sukhorukova.ea:2021, author = {Sukhorukova, Nadezda and Ugon, Julien and Yost, David}, title = {{C}hebyshev Multivariate Polynomial Approximation and Point Reduction Procedure},volume = {53}, pages = {529--544}, number = {3} }
- H. T. Bui, G. Pineda-Villavicencio and J. Ugon (2021). The linkedness of cubical polytopes: The cube. Electronic Journal of Combinatorics. The Electronic Journal of Combinatorics. 28. https://www.combinatorics.org/ojs/index.php/eljc/article/view/v28i3p45. doi: 10.37236/9848⭳
@Article{ bui.ea:2021, author = {Bui, Hoa T. and Pineda-Villavicencio, Guillermo and Ugon, Julien},title = {The Linkedness of Cubical Polytopes: The Cube}, volume = {28} }
- V. Peiris, N. Sharon, N. Sukhorukova and J. Ugon (2021). Generalised rational approximation and its application to improve deep learning classifiers. Applied Mathematics and Computation. Elsevier. 389 p. 125560. arXiv: 2002.11330. doi: 10.1016/j.amc.2020.125560⭳
@Article{ peiris.ea:2021, author = {Peiris, Vinesha and Sharon, Nir and Sukhorukova, Nadia and Ugon, Julien},title = {Generalised rational approximation and its application to improve deep learning classifiers},volume = {389}, pages = {125560} }
- G. Pineda-Villavicencio, J. Ugon and D. Yost (2020). Polytopes close to being simple. Discrete and Computational Geometry. Springer US. 64 p. 200–15. arXiv: 1704.00854. doi: 10.1007/s00454-018-00053-y⭳
@Article{ pineda-villavicencio.ea:2020, author = {Pineda-Villavicencio, Guillermo and Ugon, Julien and Yost, David},title = {Polytopes Close to Being Simple}, volume = {64}, pages = {200--215}, number = {1} }
- E. Nevo, G. Pineda-Villavicencio, J. Ugon and D. Yost (2020). Almost simplicial polytopes: The lower and upper bound theorems. Canadian Journal of Mathematics. Canadian Mathematical Society. 72 p. 537–56. arXiv: 1510.08258. doi: 10.4153/S0008414X18000123⭳
@Article{ nevo.ea:2020, author = {Nevo, Eran and Pineda-Villavicencio, Guillermo and Ugon, Julien and Yost, David},title = {Almost Simplicial Polytopes: The Lower and Upper Bound Theorems},volume = {72}, pages = {537--556}, number = {2} }
- J.-P. Crouzeix, N. Sukhorukova and J. Ugon (2020). Finite alternation theorems and a constructive approach to piecewise polynomial approximation in Chebyshev norm. Set-Valued and Variational Analysis. Springer Netherlands. 28 p. 123–47. arXiv: 1801.06930. doi: 10.1007/s11228-019-00528-x⭳
@Article{ crouzeix.ea:2020, author = {Crouzeix, Jean-Pierre and Sukhorukova, Nadezda and Ugon, Julien},title = {Finite Alternation Theorems and a Constructive Approach to Piecewise Polynomial Approximation in {C}hebyshev Norm},volume = {28}, pages = {123--147}, number = {1} }
- H. T. Bui, G. Pineda-Villavicencio and J. Ugon (2020). Connectivity of cubical polytopes. Journal of Combinatorial Theor,y Series A. Academic Press. 169 p. 105126. doi: 10.1016/j.jcta.2019.105126⭳
@Article{ bui.ea:2020, author = {Bui, Hoa T. and Pineda-Villavicencio, Guillermo and Ugon, Julien},title = {Connectivity of cubical polytopes}, volume = {169}, pages = {105126} }
- A. Geschke, J. Ugon, M. Lenzen, K. Kanemoto and D. D. Moran (2019). Balancing and reconciling large multi-regional input–output databases using parallel optimisation and high-performance computing. Economic Structures. SpringerOpen. 8 p. 1–24. doi: 10.1186/s40008-019-0133-7⭳
@Article{ geschke.ea:2019, author = {Geschke, Arne and Ugon, Julien and Lenzen, Manfred and Kanemoto, Keiichiro and Moran, Daniel Dean},title = {Balancing and reconciling large multi-regional input–output databases using parallel optimisation and high-performance computing},volume = {8}, pages = {1--24}, number = {1} }
- G. Pineda-Villavicencio, J. Ugon and D. Yost (2019). Lower bound theorems for general polytopes. European Journal of Combinatorics. Elsevier BV. 79 p. 27–45. arXiv: 1509.08218. doi: 10.1016/j.ejc.2018.12.003⭳
@Article{ pineda-villavicencio.ea:2019, author = {Pineda-Villavicencio, Guillermo and Ugon, Julien and Yost, David},title = {Lower bound theorems for general polytopes}, volume = {79}, pages = {27--45} }
- J. Doolittle, E. Nevo, G. Pineda-Villavicencio, J. Ugon and D. Yost (2019). On the reconstruction of polytopes. Discrete Comput. Geom. Springer US. 61 p. 285–302. arXiv: 1702.08739. doi: 10.1007/s00454-018-9997-9⭳
@Article{ doolittle.ea:2019, author = {Doolittle, Joseph and Nevo, Eran and Pineda-Villavicencio, Guillermo and Ugon, Julien and Yost, David},title = {On the Reconstruction of Polytopes}, volume = {61}, pages = {285--302}, number = {2} }
- G. Pineda-Villavicencio, J. Ugon and D. Yost (2018). The excess degree of a polytope. SIAM Journal on Discrete Mathematics. Society for Industrial; Applied Mathematics. 32 p. 2011–46. arXiv: 1703.10702⭳
@Article{ pineda-villavicencio.ea:2018, author = {Pineda-Villavicencio, Guillermo and Ugon, Julien and Yost, David},title = {The Excess Degree of a Polytope}, volume = {32}, pages = {2011--2046}, number = {3} }
- A. Bagirov and J. Ugon (2018). Nonsmooth DC programming approach to clusterwise linear regression: Optimality conditions and algorithms. Optimization Methods and Software. 33 p. 194–219. doi: 10.1080/10556788.2017.1371717⭳
@Article{ bagirov.ea:2018, author = {Bagirov, Adil and Ugon, Julien}, title = {Nonsmooth DC programming approach to clusterwise linear regression: optimality conditions and algorithms},volume = {33}, pages = {194--219}, number = {1} }
- J.-P. Crouzeix, N. Sukhorukova and J. Ugon (2017). Characterization theorem for best polynomial spline approximation with free knots, variable degree and fixed tails. Journal of Optimization Theory and Applications. 172 p. 950–64. doi: 10.1007/s10957-016-1048-1⭳
@Article{ crouzeix.ea:2017, author = {Crouzeix, Jean-Pierre and Sukhorukova, Nadezda and Ugon, Julien},title = {Characterization theorem for best polynomial spline approximation with free knots, variable degree and fixed tails},volume = {172}, pages = {950--964}, number = {3} }
- N. Sukhorukova and J. Ugon (2017). Characterization theorem for best polynomial spline approximation with free knots. Transactions of the American Mathematical Society. 369 p. 6389–405. arXiv: 1412.2323. doi: 10.1090/tran/6863⭳
@Article{ sukhorukova.ea:2017, author = {Sukhorukova, Nadezda and Ugon, Julien}, title = {Characterization theorem for best polynomial spline approximation with free knots},volume = {369}, pages = {6389--6405}, number = {9} }
- A. Bagirov, S. Taheri and J. Ugon (2016). Nonsmooth DC programming approach to the minimum sum-of-squares clustering problems. Pattern Recognition. 53 p. 12–24. doi: 10.1016/j.patcog.2015.11.011⭳
@Article{ bagirov.ea:2016, author = {Bagirov, Adil and Taheri, Sona and Ugon, Julien}, title = {Nonsmooth DC programming approach to the minimum sum-of-squares clustering problems},volume = {53}, pages = {12--24} }
- N. Sukhorukova and J. Ugon (2016). Chebyshev approximation by linear combinations of fixed knot polynomial splines with weighting functions. Journal of Optimization Theory and Applications. 171 p. 536–49. doi: 10.1007/s10957-016-0887-0⭳
@Article{ sukhorukova.ea:2016, author = {Sukhorukova, Nadezda and Ugon, Julien}, title = {{C}hebyshev approximation by linear combinations of fixed knot polynomial splines with weighting functions},volume = {171}, pages = {536--549}, number = {2} }
- A. Bagirov, J. Ugon and H. Mirzayeva (2015). An algorithm for clusterwise linear regression based on smoothing techniques. Optimization Letters. p. 375–90. doi: 10.1007/s11590-014-0749-3⭳
@Article{ bagirov.ea:2015, author = {Bagirov, Adil and Ugon, Julien and Mirzayeva, Hijran}, title = {An algorithm for clusterwise linear regression based on smoothing techniques},pages = {375--390} }
- J. Wang, C. P. Lim, D. Creighton, A. Khorsavi, J. Ugon, P. Vamplew, S. Nahavandi, L. Martin and A. Freischmidt (2015). Patient admission prediction using a pruned fuzzy min-max neural network with rule extraction. Neural Computing and Applications. 26 p. 277–89⭳
@Article{ wang.ea:2015, author = {Wang, Jin and Lim, Chee Peng and Creighton, Douglas and Khorsavi, Abbas and Ugon, Julien and Vamplew, Peter and Nahavandi, Saeid and Martin, Laura and Freischmidt, Anton},title = {Patient Admission Prediction Using a Pruned Fuzzy Min-Max Neural Network with Rule Extraction},volume = {26}, pages = {277--289} }
- Z. Wu, J. Tian and J. Ugon (2015). Global optimality conditions and optimization methods for polynomial programming problems. Journal of Global Optimization. Springer US. 62 p. 617–41⭳
@Article{ wu.ea:2015:1, author = {Wu, Zhiyou and Tian, J and Ugon, J}, title = {Global optimality conditions and optimization methods for polynomial programming problems},volume = {62}, pages = {617--641}, number = {4} }
- Z. Wu, J. Tian, J. Ugon and L. Zhang (2015). Global optimality conditions and optimization methods for constrained polynomial programming problems. Applied Mathematics and Computation. Elsevier. 262 p. 312–25⭳
@Article{ wu.ea:2015, author = {Wu, Zhiyou and Tian, Jing and Ugon, Julien and Zhang, Liang},title = {Global optimality conditions and optimization methods for constrained polynomial programming problems},volume = {262}, pages = {312--325} }
- A. M. Bagirov, J. Ugon and H. G. Mirzayeva (2014). Nonsmooth optimization algorithm for solving clusterwise linear regression problems. Journal of Optimization Theory and Applications. p. 755–80. doi: 10.1007/s10957-014-0566-y⭳
@Article{ bagirov.ea:2014:1, author = {Bagirov, Adil M and Ugon, Julien and Mirzayeva, Hijran G}, title = {Nonsmooth Optimization Algorithm for Solving Clusterwise Linear Regression Problems},pages = {755--780} }
- M. Lenzen, A. Geschke, T. Wiedmann, J. Lane, N. Anderson, T. Baynes, J. Boland, P. Daniels, C. Dey, J. Fry, M. Hadjikakou, S. Kenway, A. Malik, D. Moran, J. Murray, S. Nettleton, L. Poruschi, C. Reynolds, H. Rowley, J. Ugon, D. Webb and J. West (2014). Compiling and using input–output frameworks through collaborative virtual laboratories. Science of The Total Environment. Elsevier. 485 p. 241–51. http://www.sciencedirect.com/science/article/pii/S0048969714003921. doi: 10.1016/j.scitotenv.2014.03.062⭳
@Article{ lenzen.ea:2014, author = {Lenzen, Manfred and Geschke, Arne and Wiedmann, Thomas and Lane, Joe and Anderson, Neal and Baynes, Timothy and Boland, John and Daniels, Peter and Dey, Christopher and Fry, Jacob and Hadjikakou, Michalis and Kenway, Steven and Malik, Arunima and Moran, Daniel and Murray, Joy and Nettleton, Stuart and Poruschi, Lavinia and Reynolds, Christian and Rowley, Hazel and Ugon, Julien and Webb, Dean and West, James},title = {Compiling and using input--output frameworks through collaborative virtual laboratories},volume = {485}, pages = {241--251} }
- Z. Wu, J. Tian, J. Quan and J. Ugon (2014). Optimality conditions and optimization methods for quartic polynomial optimization. Applied Mathematics and Computation. Elsevier. 232 p. 968–82⭳
@Article{ wu.ea:2014, author = {Wu, Zhiyou and Tian, Jing and Quan, Jing and Ugon, Julien},title = {Optimality conditions and optimization methods for quartic polynomial optimization},volume = {232}, pages = {968--982} }
- A. Bagirov, J. Ugon and H. Mirzayeva (2013). Nonsmooth nonconvex optimization approach to clusterwise linear regression problems. European Journal of Operational Research. 229 p. 232–42. http://www.sciencedirect.com/science/article/pii/S0377221713002087. doi: 10.1016/j.ejor.2013.02.059⭳
@Article{ bagirov.ea:2013:1, author = {Bagirov, Adil and Ugon, Julien and Mirzayeva, Hijran}, title = {Nonsmooth nonconvex optimization approach to clusterwise linear regression problems},volume = {229}, pages = {232--242}, number = {1} }
- A. Bagirov, J. Ugon, D. Webb, G. Ozturk and R. Kasimbeyli (2013). A novel piecewise linear classifier based on polyhedral conic and max-min separabilities. TOP. 21 p. 3–24⭳
@Article{ bagirov.ea:2013, author = {Bagirov, Adil and Ugon, Julien and Webb, Dean and Ozturk, Gurkan and Kasimbeyli, Refail},title = {A novel piecewise linear classifier based on polyhedral conic and max-min separabilities},volume = {21}, pages = {3--24} }
- T. Yu, J. Ugon and W. Yu (2012). A modified parallel optimization system for updating large-size time-evolving flow matrix. Information Sciences. 194 p. 57–67⭳
@Article{ yu.ea:2012, author = {Yu, Ting and Ugon, Julien and Yu, Wei}, title = {A Modified Parallel Optimization System for Updating Large-size Time-evolving Flow Matrix},volume = {194}, pages = {57--67} }
- D. Moloney, N. Sukhorukova, P. Vamplew, J. Ugon, G. Li, G. Beliakov, A. Stranieri, C. Philippe, H. Amiel and A. Ugon (2011). Detecting k-complexes for sleep stage identification using nonsmooth optimisation. ANZIAM Journal. 52 p. 319–32⭳
@Article{ moloney.ea:2011, author = {Moloney, David and Sukhorukova, Nadezda and Vamplew, Peter and Ugon, Julien and Li, Gang and Beliakov, Gleb and Stranieri, Andrew and Philippe, Carole and Amiel, Helène and Ugon, Adrien},title = {Detecting K-complexes for sleep stage identification using nonsmooth optimisation},volume = {52}, pages = {319--332}, number = {4} }
- A. Bagirov and J. Ugon (2011). Codifferential method for minimizing nonsmooth DC functions. Journal of Global Optimization. 50 p. 3–22⭳
@Article{ bagirov.ea:2011:3, author = {Bagirov, Adil and Ugon, Julien}, title = {Codifferential method for minimizing nonsmooth DC functions},volume = {50}, pages = {3--22}, number = {1} }
- A. Bagirov, J. Ugon and D. Webb (2011). An efficient algorithm for the incremental construction of a piecewise linear classifier. Information Systems. 36 p. 782–90⭳
@Article{ bagirov.ea:2011, author = {Bagirov, Adil and Ugon, Julien and Webb, Dean}, title = {An efficient algorithm for the incremental construction of a piecewise linear classifier},volume = {36}, pages = {782--790}, number = {4} }
- A. Bagirov, J. Ugon and D. Webb (2011). Fast modified global k-means algorithm for incremental cluster construction. Pattern Recognition. 44 p. 866–76. http://www.sciencedirect.com/science/article/pii/S0031320310005029. doi: 10.1016/j.patcog.2010.10.018⭳
@Article{ bagirov.ea:2011:2, author = {Bagirov, Adil and Ugon, Julien and Webb, Dean}, title = {Fast modified global k-means algorithm for incremental cluster construction},volume = {44}, pages = {866--876} }
- A. Bagirov, J. Ugon, D. Webb and B. Karasözen (2011). Classification through incremental max-min separability. Pattern Analysis and Applications. 14 p. 165–74⭳
@Article{ bagirov.ea:2011:1, author = {Bagirov, Adil and Ugon, Julien and Webb, Dean and Karasözen, Bülent},title = {Classification through Incremental Max-min Separability}, volume = {14}, pages = {165--174}, number = {2} }
- J. Tian, Z. Wu and J. Ugon (2011). Optimization methods for a class of integer polynomial programming problems. Operations Research Transactions. 15 p. 23–35⭳
@Article{ tian.ea:2011, author = {Tian, Jing and Wu, Zhiyou and Ugon, Julien}, title = {Optimization Methods for a Class of Integer Polynomial Programming Problems},volume = {15}, pages = {23--35}, number = {4} }
- A. M. Bagirov, A. N. Ganjehlou, H. Tor and J. Ugon (2010). A generalized subgradient method with piecewise linear subproblem. Dynamics of Continuous, Discrete & Impulsive Systems. 17 p. 621–38⭳
@Article{ bagirov.ea:2010:1, author = {Bagirov, Adil M. and Ganjehlou, Asef Nazari and Tor, Hakan and Ugon, Julien},title = {A generalized subgradient method with piecewise linear subproblem},volume = {17}, pages = {621--638}, number = {5} }
- A. Bagirov, J. Ugon, A. Nazari Ganjehlou and A. Tor (2010). Truncated codifferential method for nonsmooth convex optimization. Pacific Journal of Optimization. 6 p. 483–96⭳
@Article{ bagirov.ea:2010, author = {Bagirov, Adil and Ugon, Julien and Nazari Ganjehlou, Asef and Tor, Akan},title = {Truncated codifferential method for nonsmooth convex optimization},volume = {6}, pages = {483--496}, number = {3} }
- A. M. Rubinov, N. Sukhorukova and J. Ugon (2010). The choice of a similarity measure with respect to its sensitivity to outliers. Dynamics of Continuous, Discrete & Impulsive Systems. 17 p. 709–21⭳
@Article{ rubinov.ea:2010, author = {Rubinov, A.M. and Sukhorukova, N. and Ugon, J.}, title = {The choice of a similarity measure with respect to its sensitivity to outliers},volume = {17}, pages = {709--721}, number = {5} }
- N. Sukhorukova and J. Ugon (2010). Characterization theorem for best linear spline approximation with free knots. Dynamics of Continuous, Discrete & Impulsive Systems. 17 p. 687–708⭳
@Article{ sukhorukova.ea:2010:1, author = {Sukhorukova, Nadezda and Ugon, Julien}, title = {Characterization theorem for best linear spline approximation with free knots},volume = {17}, pages = {687--708}, number = {5} }
- N. Sukhorukova, J. Ugon and J. Yearwood (2009). Workload coverage through nonsmooth optimization. Optimization Methods and Software. 24 p. 285–98⭳
@Article{ sukhorukova.ea:2009, author = {Sukhorukova, Nadezda and Ugon, Julien and Yearwood, John}, title = {Workload Coverage through nonsmooth optimization}, volume = {24}, pages = {285--298}, number = {2} }
- G. Beliakov and J. Ugon (2007). Implementation of novel methods of global and nonsmooth optimization: GANSO programming library. Optimization. 56 p. 543–6⭳
@Article{ beliakov.ea:2007, author = {Beliakov, Gleb and Ugon, Julien}, title = {Implementation of novel methods of global and nonsmooth optimization: GANSO programming library},volume = {56}, pages = {543--546}, number = {5--6} }
- J. Ugon, S. Kouhbor, M. Mammadov, A. Rubinov and A. Kruger (2007). Facility location via continuous optimisation with discontinuous objective functions. ANZIAM Journal. 48 p. 315–25⭳
@Article{ ugon.ea:2007, author = {Ugon, Julien and Kouhbor, Shahnaz and Mammadov, Musa and Rubinov, Alex and Kruger, Alex},title = {Facility location via continuous optimisation with discontinuous objective functions},volume = {48}, pages = {315--325}, number = {3} }
- A. Bagirov and J. Ugon (2006). Piecewise partially separable functions and a derivative-free algorithm for large scale nonsmooth optimization. Journal of Global Optimization. 35 p. 163–95⭳
@Article{ bagirov.ea:2006, author = {Bagirov, Adil and Ugon, Julien}, title = {Piecewise Partially Separable Functions and a Derivative-free Algorithm for Large Scale Nonsmooth Optimization},volume = {35}, pages = {163--195}, number = {2} }
- A. Rubinov, N. Soukhoroukova and J. Ugon (2006). Classes and clusters in data analysis. European Journal of Operational Research. 173 p. 849–65⭳
@Article{ rubinov.ea:2006, author = {Rubinov, Alex and Soukhoroukova, Nadejda and Ugon, Julien},title = {Classes and clusters in data analysis}, volume = {173}, pages = {849--865}, number = {3} }
- J. Ugon (2006). Optimization solvers and problem formulations for solving data clustering problems. Pacific Journal of Optimization. 3 p. 387–97⭳
@Article{ ugon:2006, author = {Ugon, Julien}, title = {Optimization solvers and problem formulations for solving data clustering problems},volume = {3}, pages = {387--397}, number = {2} }
- A. Bagirov and J. Ugon (2005). An algorithm for minimising clustering functions. Optimization. 54 p. 351–68⭳
@Article{ bagirov.ea:2005, author = {Bagirov, Adil and Ugon, Julien}, title = {An algorithm for minimising clustering functions}, volume = {54}, pages = {351--368}, number = {4--5} }
- A. Bagirov and J. Ugon (2004). Separation of two sets by piecewise linear function. Applied and Computational Mathematics. 3 p. 117–31⭳
@Article{ bagirov.ea:2004, author = {Bagirov, Adil and Ugon, Julien}, title = {Separation of two sets by piecewise linear function}, volume = {3}, pages = {117--131}, number = {2} }
Book Chapters
- A. M. Bagirov, R. Kasimbeyli, G. Oztürk and J. Ugon (2014). Piecewise linear classifiers based on nonsmooth optimization approaches. Optimization in science and engineering. Springer. p. 1–32. doi: 10.1007/978-1-4939-0808-0_1⭳
@InCollection{ bagirov.ea:2014, author = {Bagirov, Adil M. and Kasimbeyli, Refail and Oztürk, Gürkan and Ugon, Julien},title = {Piecewise Linear Classifiers Based on Nonsmooth Optimization Approaches},pages = {1--32}, editor = {Rassias, Themistocles M. and Floudas, Christodoulos A. and Butenko, Sergiy},publisher = {Springer}, booktitle = {Optimization in Science and Engineering} }
- A. Bagirov and J. Ugon (2005). Supervised data classification via max-min separability. Continuous optimisation: Current trends and modern applications. Springer, Berlin. p. 175–208. doi: 10.1007/0-387-26771-9_6⭳
@InCollection{ bagirov.ea:2005:1, author = {Bagirov, Adil and Ugon, Julien}, title = {Supervised Data classification via Max-min separability}, pages = {175--208}, editor = {Jeyakumar and Rubinov}, publisher = {Springer}, booktitle = {Continuous Optimisation: current trends and modern applications},chapter = {6} }
- A. Rubinov, N. Soukhoroukova and J. Ugon (2005). Minimization of the sum of minima of convex functions and its applications to clustering. Continuous optimisation: Current trends and modern applications. Springer, Berlin. p. 409–34. doi: 10.1007/0-387-26771-9_15⭳
@InCollection{ rubinov.ea:2005, author = {Rubinov, Alex and Soukhoroukova, Nadejda and Ugon, Julien},title = {Minimization of the sum of minima of convex functions and its applications to clustering},pages = {409--434}, editor = {Jeyakumar and Rubinov}, publisher = {Springer}, booktitle = {Continuous Optimisation: current trends and modern applications},chapter = {15} }
Conference Papers
- R. Esmaeilbeigi, V. Mak-Hau, G. Pineda-Villavicencio and J. Ugon (2021). Hydrogen bus route planning in regional victoria. MODSIM2021, 24th international congress on modelling and simulation. Modelling; Simulation Society of Australia; New Zealand. doi: 10.36334/modsim.2021.m1.esmaeilbeigi⭳
@InProceedings{ esmaeilbeigi.ea:2021, author = {Esmaeilbeigi, R. and Mak-Hau, V. and Pineda-Villavicencio, G. and Ugon, J.},title = {Hydrogen bus route planning in regional Victoria}, publisher = {Modelling and Simulation Society of Australia and New Zealand},booktitle = {{MODSIM}2021, 24th International Congress on Modelling and Simulation.} }
- M. Mammadov, R. Muspratt and J. Ugon (2017). Detection of outlier behaviour amongst health/medical providers servicing TAC clients. Data mining. Springer, Singapore. p. 161–72. doi: 10.1007/978-981-13-0292-3_10⭳
@InProceedings{ mammadov.ea:2017, author = {Mammadov, Musa and Muspratt, Rob and Ugon, Julien}, title = {Detection of Outlier Behaviour Amongst Health/Medical Providers Servicing TAC Clients},pages = {161--172}, publisher = {Springer}, booktitle = {Data Mining} }
- M. Lenzen, K. Kanemoto, A. Geschke, D. Moran, P. Muñoz, J. Ugon, R. Wood and T. Yu (2010). A global multi-region input-output time series at high country and sector detail. 18th international input-output conference of the international input-output association (IIOA). Sydney, Australia. p. 20–5⭳
@InProceedings{ lenzen.ea:2010, author = {Lenzen, M. and Kanemoto, K. and Geschke, A. and Moran, D. and Muñoz, P. and Ugon, J. and Wood, R. and Yu, T.},title = {A global multi-region input-output time series at high country and sector detail},pages = {20--25}, booktitle = {18th International Input-Output Conference of the International Input-Output Association (IIOA)} }
- N. Sukhorukova, A. Stranieri, B. Ofoghi, P. Vamplew, M. Saleem, L. Ma, A. Ugon, J. Ugon, N. Muecke, H. Amiel and others (2010). Automatic sleep stage identification: Difficulties and possible solutions. Proceedings of the fourth australasian workshop on health informatics and knowledge management-volume 108. Australian Computer Society, Inc. p. 39–44⭳
@InProceedings{ sukhorukova.ea:2010, author = {Sukhorukova, N. and Stranieri, A. and Ofoghi, B. and Vamplew, P. and Saleem, M. and Ma, L. and Ugon, A. and Ugon, J. and Muecke, N. and Amiel, H. and others},title = {Automatic sleep stage identification: difficulties and possible solutions},pages = {39--44}, organization = {Australian Computer Society, Inc.}, booktitle = {Proceedings of the Fourth Australasian Workshop on Health Informatics and Knowledge Management-Volume 108} }
- A. M. Bagirov, J. Ugon and D. Webb (2009). A new modified global k-means algorithm for clustering large data sets. The XIII international conference "applied stochastic models and data analysis" (ASMDA-2009),selected papers. Vilnus. p. 1–5⭳
@InProceedings{ bagirov.ea:2009, author = {Bagirov, Adil M. and Ugon, Julien and Webb, Dean}, title = {A new modified global k-means algorithm for clustering large data sets},pages = {1--5}, editor = {Sakalauskas, L. and Skiadas, C. and Zavadskas, E. K.}, booktitle = {The XIII International Conference "Applied Stochastic Models and Data Analysis" (ASMDA-2009),Selected papers.} }
- A. M. Bagirov, J. Ugon and D. Webb (2009). An incremental approach for the construction of a piecewise linear classifier. The XIII international conference "applied stochastic models and data analysis" (ASMDA-2009),selected papers. Vilnus. p. 507–11⭳
@InProceedings{ bagirov.ea:2009:1, author = {Bagirov, Adil M. and Ugon, Julien and Webb, Dean}, title = {An incremental approach for the construction of a piecewise linear classifier},pages = {507--511}, editor = {Sakalauskas, L. and Skiadas, C. and Zavadskas, E. K.}, booktitle = {The XIII International Conference "Applied Stochastic Models and Data Analysis" (ASMDA-2009),Selected papers.} }
- A. Bagirov, J. Ugon, A. Barton and S. Briggs (2008). Optimization of operations of a water distribution system for reduced power usage. 9th national conference on hydraulics in water engineering. Darwin, Australia⭳
@InProceedings{ bagirov.ea:2008, author = {Bagirov, Adil and Ugon, Julien and Barton, Andrew and Briggs, Steven},title = {Optimization of operations of a water distribution system for reduced power usage},booktitle = {9th National conference on Hydraulics in Water Engineering} }
- S. Koubor, J. Ugon, A. Rubinov, M. Mammadov and A. Kruger (2006). Coverage in WLAN with minimum number of access points. Proceeding of IEEE vehicular technology conference. 3 p. 1550–2252⭳
@InProceedings{ koubor.ea:2006, author = {Koubor, Shahnaz and Ugon, Julien and Rubinov, Alex and Mammadov, Musa and Kruger, Alex},title = {Coverage in {WLAN} with Minimum Number of Access Points}, volume = {3}, pages = {1550--2252}, booktitle = {Proceeding of IEEE Vehicular Technology Conference} }
- S. Kouhbor, J. Ugon, A. Kruger and A. Rubinov (2005). Optimal placement of access point in WLAN based on a new algorithm. Proceedings of international conference on mobile business - IEEE/ICMB 2005. p. 592–8⭳
@InProceedings{ kouhbor.ea:2005:1, author = {Kouhbor, Shahnaz and Ugon, Julien and Kruger, Alex and Rubinov, Alex},title = {Optimal Placement of Access Point in {WLAN} Based on a New Algorithm},pages = {592--598}, booktitle = {Proceedings of International Conference on Mobile Business - IEEE/ICMB 2005} }
- S. Kouhbor, J. Ugon, A. Kruger, A. M. Rubinov and P. Branch (2005). A new algorithm for the placement of WLAN access points based on nonsmooth optimization technique. Proceedings of 7th international conference on advanced communication technology - IEEE/ICACT 2005. 1 p. 352–7⭳
@InProceedings{ kouhbor.ea:2005, author = {Kouhbor, Shahnaz and Ugon, Julien and Kruger, Alex and Rubinov, Alex M. and Branch, Philip},title = {A New Algorithm for the Placement of {WLAN} Access Points Based on Nonsmooth Optimization Technique},volume = {1}, pages = {352--357}, booktitle = {Proceedings of 7th International Conference on Advanced Communication Technology - IEEE/ICACT 2005} }
- S. Kouhbor, J. Ugon, A. Kruger, A. Rubinov and P. Branch (2004). Optimization in wireless local area network. Proceedings of 6th international conference on optimization: Techniques and applications -ICOTA 6. Ballarat, Australia⭳
@InProceedings{ kouhbor.ea:2004, author = {Kouhbor, Shahnaz and Ugon, Julien and Kruger, Alex and Rubinov, Alex and Branch, Philip},title = {Optimization in Wireless Local Area Network}, booktitle = {Proceedings of 6th International Conference on Optimization: Techniques and Applications -ICOTA 6} }
- A. Rubinov, N. Soukhoroukova and J. Ugon (2004). A feature selection approach for unsupervised classification based on clustering. Proceedings of 6th international conference on optimization: Techniques and applications -ICOTA 6. Ballarat, Australia⭳
@InProceedings{ rubinov.ea:2004, author = {Rubinov, Alex and Soukhoroukova, Nadejda and Ugon, Julien},title = {A feature selection approach for unsupervised classification based on clustering},booktitle = {Proceedings of 6th International Conference on Optimization: Techniques and Applications -ICOTA 6} }
- A. Rubinov, N. Soukhoroukova and J. Ugon (2003). Minimization of the sum of minima of convex functions. Proceedings of the continuous optimization and optimal control workshop. Melbourne⭳
@InProceedings{ rubinov.ea:2003, author = {Rubinov, Alex and Soukhoroukova, Nadejda and Ugon, Julien},title = {Minimization of the sum of minima of convex functions}, booktitle = {Proceedings of the Continuous Optimization and Optimal Control Workshop} }
- L. Jia, I. Ouveysi and J. Ugon (2003). Queueing programming models in telecommunication network maintenance. Industrial optimisation, vol 1, proceedings of symposium in industrial optimisation, western australian centre of excellence in industrial optimisation (WACEIO). Curtin University, Perth. Australia⭳
@InProceedings{ jia.ea:2003, author = {Jia, Long and Ouveysi, Iradj and Ugon, Julien}, title = {Queueing programming models in telecommunication network maintenance},editor = {Caccetta, Lou and Rehbock, Volker}, organization = {Curtin University}, booktitle = {Industrial Optimisation, Vol 1, Proceedings of Symposium in Industrial Optimisation, Western Australian Centre of Excellence in Industrial Optimisation (WACEIO)} }
- N. Soukhoroukova and J. Ugon (2003). A new algorithm to find a shape of a finite set of points. Industrial optimisation, vol 1, proceedings of symposium in industrial optimisation, western australian centre of excellence in industrial optimisation (WACEIO). Curtin University, Perth. Australia⭳
@InProceedings{ soukhoroukova.ea:2003, author = {Soukhoroukova, Nadejda and Ugon, Julien}, title = {A new algorithm to find a shape of a finite set of points},editor = {Caccetta, Lou and Rehbock, V.}, organization = {Curtin University}, booktitle = {Industrial Optimisation, Vol 1, Proceedings of Symposium in Industrial Optimisation, Western Australian Centre of Excellence in Industrial Optimisation (WACEIO)} }
Contact
- julien.ugon@deakin.edu.au