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 [10, 11, 13, 15, 16, 18, 21, 28, 29, 31, 51]
Optimization Algorithms. See [6, 43, 48, 49, 53, 55, 75]
Data Analysis. See [27, 30, 32, 36, 39, 40, 44–46, 50, 56–62, 67, 68, 74, 77]
Discrete Geometry (Graphs of Polytopes). See [1, 9, 17, 19, 20, 24–26, pineda-villavicencio.ea:nd?]
Applications of Optimisation.
- Telecommunication Networks: Facility Location [54, 70–73]; Network Monitoring [76]
- Scheduling Probems [52]
- Sustainability Analysis [23, 65]
- EEG signal analysis: [66]
- Water Network planning [69]

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

Preprints

H. T. Bui, G. Pineda-Villavicencio and J. Ugon The Linkedness of Cubical Polytopes: Beyond the Cube. arXiv: 2009.07071

@Unpublished{	  bui.ea:nd,
  author	= {Hoa T. Bui and Guillermo Pineda-Villavicencio and Julien
		  Ugon},
  title		= {The linkedness of cubical polytopes: beyond the cube}
}

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@Unpublished{	  chan.ea:nd,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, N. Sukhorukova and J. Ugon Variational Properties of the Abstract Subdifferential Operator. arXiv: 2206.02565

@Unpublished{	  díaz-millán.ea:nd:2,
  author	= {Díaz Millán, Reinier and Sukhorukova, Nadezda and Ugon,
		  Julien},
  title		= {Variational properties of the abstract subdifferential
		  operator}
}

E. Kalfon, V. Peiris, N. Sharon, N. Sukhorukova and J. Ugon Flexible Rational Approximation for Matrix Functions. arXiv: 2108.09357

@Unpublished{	  kalfon.ea:nd,
  author	= {Elior Kalfon and Vinesha Peiris and Nir Sharon and Nadia
		  Sukhorukova and Julien Ugon},
  title		= {Flexible rational approximation for matrix functions}
}

V. Pilaud, G. Pineda-Villavicencio and J. Ugon Edge Connectivity of Simplicial Polytopes. arXiv: 2111.07050

@Unpublished{	  pilaud.ea:nd,
  author	= {Vincent Pilaud and Guillermo Pineda-Villavicencio and
		  Julien Ugon},
  title		= {Edge connectivity of simplicial polytopes}
}

Journal Articles

R. Díaz Millán, O. P. Ferreira and J. Ugon Approximate douglas-rachford algorithm for two-sets convex feasibility problems. To appear in Journal of Global Optimization. arXiv: 2105.13005

@Article{	  díaz-millán.ea:nd,
  author	= {Díaz Millán, R. and Ferreira,O.P. and Ugon,J.},
  title		= {Approximate Douglas-Rachford algorithm for two-sets convex
		  feasibility problems},
  journal	= {Journal of Global Optimization}
}

R. Díaz Millán, N. Sukhorukova and J. Ugon Applications and issues in abstract convexity. To appear in Communications in Optimization Theory. arXiv: 2202.09959v1

@Article{	  díaz-millán.ea:nd:1,
  author	= {Díaz Millán, Reinier and Sukhorukova, Nadezda and Ugon,
		  Julien},
  title		= {Applications and issues in abstract convexity},
  journal	= {Communications in Optimization Theory}
}

N. Parsons, J. Ugon, K. Morgan, S. Shelyag, A. Hocking, S. Yuan Chan, G. Poudel, J. F. Domìnguez D and K. Caeyenberghs Structural-functional connectivity bandwidth of the human brain. To appear in Neuroimage. 263. https://www.sciencedirect.com/science/article/pii/S1053811922007807. doi: 10.1016/j.neuroimage.2022.119659

@Article{	  parsons.ea:nd,
  author	= { Parsons,Nicholas and Ugon,Julien and Morgan,Kerri and
		  Shelyag,Sergiy and Hocking,Alex and Yuan Chan,Su and
		  Poudel,Govinda and F. Domìnguez D,Juan and
		  Caeyenberghs,Karen},
  title		= {Structural-Functional Connectivity Bandwidth of the Human
		  Brain},
  volume	= {263},
  journal	= {Neuroimage}
}

L. K. Jørgensen, G. Pineda-Villavicencio and J. Ugon (2022). Linkedness of cartesian products of complete graphs. Ars Mathematica Contemporeana. University of Primorska Press. . 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},
  year		= 2022,
  month		= {sep},
  journal	= {Ars Mathematica Contemporeana}
}

R. Díaz Millán, V. Peiris, N. Sukhorukova and J. Ugon (2022). Multivariate approximation by polynomial and generalized rational functions. Optimization. Informa UK Limited. 1–7. . doi: 10.1080/02331934.2022.2044478

@Article{	  díaz-millán.ea:2022,
  author	= {Díaz Millán, Reinier and Peiris, Vinesha and
		  Sukhorukova, Nadezda and Ugon, Julien},
  title		= {Multivariate approximation by polynomial and generalized
		  rational functions},
  year		= 2022,
  pages		= {1--17},
  journal	= {Optimization}
}

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. . doi: 10.1007/s11228-021-00625-w

@Article{	  díaz-millán.ea:2022:1,
  author	= {Díaz Millán, Reinier and Sukhorukova, Nadezda and Ugon,
		  Julien},
  title		= {An Algorithm for Best Generalised Rational Approximation
		  of Continuous Functions},
  year		= 2022,
  journal	= {Set-Valued and Variational Analysis}
}

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	= {Guillermo Pineda-Villavicencio and Julien Ugon and David
		  Yost},
  title		= {Minimum number of edges of polytopes with $2d + 2$
		  vertices},
  year		= {2022},
  volume	= {29},
  journal	= {Electronic Journal of Combinatorics}
}

N. Sukhorukova and J. Ugon (2022). A generalisation of de la vallée-poussin procedure to multivariate approximations. Adv Comput Math. Springer Science; Business Media LLC. 48. . doi: 10.1007/s10444-021-09919-x

@Article{	  sukhorukova.ea:2022,
  author	= {Sukhorukova, Nadezda and Ugon, Julien},
  title		= {A generalisation of de la Vall{\'{e}}e-Poussin procedure
		  to multivariate approximations},
  year		= 2022,
  volume	= {48},
  number	= {1},
  journal	= {Adv Comput Math}
}

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. . 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},
  year		= 2021,
  volume	= {10},
  month		= {dec},
  number	= {1},
  journal	= {Journal of Complex Networks}
}

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 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},
  year		= 2021,
  volume	= {59},
  pages		= {2049--2062},
  month		= {aug},
  number	= {9},
  journal	= {Journal of Mathematical Chemistry}
}

N. Sukhorukova, J. Ugon and D. Yost (2021). Chebyshev Multivariate Polynomial Approximation and Point Reduction Procedure. Constructive Approximation. Springer US. 53 529–44. arXiv: 1708.09743. doi: 10.1007/s00365-019-09488-9

@Article{	  sukhorukova.ea:2021,
  author	= {Sukhorukova, Nadezda and Ugon, Julien and Yost, David},
  title		= {{Chebyshev Multivariate Polynomial Approximation and Point
		  Reduction Procedure}},
  year		= {2021},
  volume	= {53},
  pages		= {529--544},
  journal	= {Constructive Approximation},
  number	= {3},
  month		= {Jun}
}

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},
  year		= 2021,
  volume	= {28},
  journal	= {Electronic Journal of Combinatorics}
}
```

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 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},
  year		= {2021},
  volume	= {389},
  pages		= {125560},
  journal	= {Applied Mathematics and Computation}
}

G. Pineda-Villavicencio, J. Ugon and D. Yost (2020). Polytopes Close to Being Simple. Discrete and Computational Geometry. Springer US. 64 200–15. 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}},
  year		= {2020},
  volume	= {64},
  pages		= {200--215},
  journal	= {Discrete and Computational Geometry},
  number	= {1},
  month		= {Jul}
}

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. 72 537–56. 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}},
  year		= {2020},
  volume	= {72},
  pages		= {537--556},
  journal	= {Canadian Journal of Mathematics},
  number	= {2},
  month		= {Apr}
}

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. 28 123–47. 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 Chebyshev Norm}},
  year		= {2020},
  volume	= {28},
  pages		= {123--147},
  journal	= {Set-Valued and Variational Analysis},
  number	= {1},
  month		= {Mar}
}

H. T. Bui, G. Pineda-Villavicencio and J. Ugon (2020). Connectivity of cubical polytopes. J. Combin. Theory Ser. A. Academic Press. 169 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}},
  year		= {2020},
  volume	= {169},
  pages		= {105126},
  journal	= {J. Combin. Theory Ser. A},
  month		= {Jan}
}

A. Geschke, J. Ugon, M. Lenzen, K. Kanemoto and D. D. Moran (2019). Balancing and reconciling large multi-regional inputoutput databases using parallel optimisation and high-performance computing. Economic Structures. SpringerOpen. 8 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{\textendash}output databases using parallel
		  optimisation and high-performance computing}},
  year		= {2019},
  volume	= {8},
  pages		= {1--24},
  journal	= {Economic Structures},
  number	= {1},
  month		= {Dec}
}

G. Pineda-Villavicencio, J. Ugon and D. Yost (2019). Lower bound theorems for general polytopes. European Journal of Combinatorics. Elsevier BV. 79 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},
  year		= 2019,
  volume	= {79},
  pages		= {27--45},
  month		= {jun},
  journal	= {European Journal of Combinatorics}
}

J. Doolittle, E. Nevo, G. Pineda-Villavicencio, J. Ugon and D. Yost (2019). On the Reconstruction of Polytopes. Discrete Comput. Geom. Springer US. 61 285–302. 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}},
  year		= {2019},
  volume	= {61},
  pages		= {285--302},
  journal	= {Discrete Comput. Geom.},
  number	= {2},
  month		= {Mar}
}

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 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},
  year		= {2018},
  volume	= {32},
  pages		= {2011--2046},
  journal	= {SIAM Journal on Discrete Mathematics},
  month		= {8},
  number	= {3}
}

A. Bagirov and J. Ugon (2018). Nonsmooth DC programming approach to clusterwise linear regression: Optimality conditions and algorithms. Optimization Methods and Software. 33 194–219. doi: 10.1080/10556788.2017.1371717

@Article{	  bagirov.ea:2018,
  author	= {Adil Bagirov and Julien Ugon},
  title		= {Nonsmooth DC programming approach to clusterwise linear
		  regression: optimality conditions and algorithms},
  year		= {2018},
  volume	= {33},
  pages		= {194--219},
  journal	= {Optimization Methods and Software},
  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. 172 950–64. doi: 10.1007/s10957-016-1048-1

@Article{	  crouzeix.ea:2017,
  author	= {Jean-Pierre Crouzeix and Nadezda Sukhorukova and Julien
		  Ugon},
  title		= {Characterization theorem for best polynomial spline
		  approximation with free knots, variable degree and fixed
		  tails},
  year		= {2017},
  volume	= {172},
  pages		= {950--964},
  journal	= {Journal of Optimization Theory and Applications},
  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 6389–405. arXiv: 1412.2323. doi: 10.1090/tran/6863

@Article{	  sukhorukova.ea:2017,
  author	= {Nadezda Sukhorukova and Julien Ugon},
  title		= {Characterization theorem for best polynomial spline
		  approximation with free knots},
  year		= {2017},
  volume	= {369},
  pages		= {6389-6405},
  journal	= {Transactions of the American Mathematical Society},
  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 12–24. doi: 10.1016/j.patcog.2015.11.011

@Article{	  bagirov.ea:2016,
  author	= {Adil Bagirov and Sona Taheri and Julien Ugon},
  title		= {Nonsmooth DC programming approach to the minimum
		  sum-of-squares clustering problems},
  year		= {2016},
  volume	= {53},
  pages		= {12--24},
  journal	= {Pattern Recognition}
}

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. 171 536–49. doi: 10.1007/s10957-016-0887-0

@Article{	  sukhorukova.ea:2016,
  author	= {Nadezda Sukhorukova and Julien Ugon},
  title		= {Chebyshev approximation by linear combinations of fixed
		  knot polynomial splines with weighting functions},
  year		= {2016},
  volume	= {171},
  pages		= {536--549},
  journal	= {Journal of Optimization Theory and Applications},
  number	= {2}
}

A. Bagirov, J. Ugon and H. Mirzayeva (2015). An algorithm for clusterwise linear regression based on smoothing techniques. Optimization Letters. 375–90. doi: 10.1007/s11590-014-0749-3

@Article{	  bagirov.ea:2015,
  author	= {Adil Bagirov and Julien Ugon and Hijran Mirzayeva},
  title		= {An algorithm for clusterwise linear regression based on
		  smoothing techniques},
  year		= {2015},
  pages		= {375--390},
  journal	= {Optimization Letters}
}

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. 26 277–89

@Article{	  wang.ea:2015,
  author	= {Jin Wang and Chee Peng Lim and Douglas Creighton and Abbas
		  Khorsavi and Julien Ugon and Peter Vamplew and Saeid
		  Nahavandi and Laura Martin and Anton Freischmidt},
  title		= {Patient Admission Prediction Using a Pruned Fuzzy Min-Max
		  Neural Network with Rule Extraction},
  year		= {2015},
  volume	= {26},
  pages		= {277--289},
  journal	= {Neural Computing and Applications}
}

Z. Wu, J. Tian and J. Ugon (2015). Global optimality conditions and optimization methods for polynomial programming problems. Journal of Global Optimization. Springer US. 62 617–41

@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},
  year		= {2015},
  volume	= {62},
  pages		= {617--641},
  journal	= {Journal of Global Optimization},
  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. 262 312–25

@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},
  year		= {2015},
  volume	= {262},
  pages		= {312--325},
  journal	= {Applied Mathematics and Computation}
}

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. 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},
  year		= {2014},
  pages		= {755--780},
  journal	= {Journal of Optimization Theory and Applications}
}

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. 485 241–51. http://www.sciencedirect.com/science/article/pii/S0048969714003921. doi: 10.1016/j.scitotenv.2014.03.062

@Article{	  lenzen.ea:2014,
  author	= {Manfred Lenzen and Arne Geschke and Thomas Wiedmann and
		  Joe Lane and Neal Anderson and Timothy Baynes and John
		  Boland and Peter Daniels and Christopher Dey and Jacob Fry
		  and Michalis Hadjikakou and Steven Kenway and Arunima Malik
		  and Daniel Moran and Joy Murray and Stuart Nettleton and
		  Lavinia Poruschi and Christian Reynolds and Hazel Rowley
		  and Julien Ugon and Dean Webb and James West},
  title		= {Compiling and using input--output frameworks through
		  collaborative virtual laboratories},
  year		= {2014},
  volume	= {485},
  pages		= {241--251},
  journal	= {Science of The Total Environment}
}

Z. Wu, J. Tian, J. Quan and J. Ugon (2014). Optimality conditions and optimization methods for quartic polynomial optimization. Applied Mathematics and Computation. Elsevier. 232 968–82

@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},
  year		= {2014},
  volume	= {232},
  pages		= {968--982},
  journal	= {Applied Mathematics and Computation}
}

A. Bagirov, J. Ugon and H. Mirzayeva (2013). Nonsmooth nonconvex optimization approach to clusterwise linear regression problems. European Journal of Operational Research. 229 232–42. http://www.sciencedirect.com/science/article/pii/S0377221713002087. doi: 10.1016/j.ejor.2013.02.059

@Article{	  bagirov.ea:2013,
  author	= {Adil Bagirov and Julien Ugon and Hijran Mirzayeva},
  title		= {Nonsmooth nonconvex optimization approach to clusterwise
		  linear regression problems},
  year		= {2013},
  volume	= {229},
  pages		= {232--242},
  journal	= {European Journal of Operational Research},
  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 3–24

@Article{	  bagirov.ea:2013:1,
  author	= {Adil Bagirov and Julien Ugon and Dean Webb and Gurkan
		  Ozturk and Refail Kasimbeyli},
  title		= {A novel piecewise linear classifier based on polyhedral
		  conic and max-min separabilities},
  year		= {2013},
  volume	= {21},
  pages		= {3--24},
  journal	= {TOP}
}

T. Yu, J. Ugon and W. Yu (2012). A modified parallel optimization system for updating large-size time-evolving flow matrix. Information Sciences. 194 57–67

@Article{	  yu.ea:2012,
  author	= {Ting Yu and Julien Ugon and Wei Yu},
  title		= {A Modified Parallel Optimization System for Updating
		  Large-size Time-evolving Flow Matrix},
  year		= {2012},
  volume	= {194},
  pages		= {57--67},
  journal	= {Information Sciences},
  month		= {07}
}

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. 52 319–32

@Article{	  moloney.ea:2011,
  author	= {David Moloney and Nadezda Sukhorukova and Peter Vamplew
		  and Julien Ugon and Gang Li and Gleb Beliakov and Andrew
		  Stranieri and Carole Philippe and Hel\`ene Amiel and Adrien
		  Ugon},
  title		= {Detecting K-complexes for sleep stage identification using
		  nonsmooth optimisation},
  year		= {2011},
  volume	= {52},
  pages		= {319--332},
  journal	= {ANZIAM},
  month		= {04},
  number	= {4}
}

A. Bagirov and J. Ugon (2011). Codifferential method for minimizing nonsmooth DC functions. Journal of Global Optimization. 50 3–22

@Article{	  bagirov.ea:2011:3,
  author	= {Adil Bagirov and Julien Ugon},
  title		= {Codifferential method for minimizing nonsmooth DC
		  functions},
  year		= {2011},
  volume	= {50},
  pages		= {3--22},
  journal	= {Journal of Global Optimization},
  number	= {1}
}

A. Bagirov, J. Ugon and D. Webb (2011). An efficient algorithm for the incremental construction of a piecewise linear classifier. Information Systems. 36 782–90

@Article{	  bagirov.ea:2011,
  author	= {Adil Bagirov and Julien Ugon and Dean Webb},
  title		= {An efficient algorithm for the incremental construction of
		  a piecewise linear classifier},
  year		= {2011},
  volume	= {36},
  pages		= {782--790},
  journal	= {Information Systems},
  number	= {4}
}

A. Bagirov, J. Ugon and D. Webb (2011). Fast modified global k-means algorithm for incremental cluster construction. Pattern Recognition. 44 866–76. http://www.sciencedirect.com/science/article/pii/S0031320310005029. doi: 10.1016/j.patcog.2010.10.018

@Article{	  bagirov.ea:2011:2,
  author	= {Adil Bagirov and Julien Ugon and Dean Webb},
  title		= {Fast modified global k-means algorithm for incremental
		  cluster construction},
  year		= {2011},
  volume	= {44},
  pages		= {866--876},
  journal	= {Pattern Recognition}
}

A. Bagirov, J. Ugon, D. Webb and B. Karasözen (2011). Classification through incremental max-min separability. Pattern Analysis and Applications. 14 165–74

@Article{	  bagirov.ea:2011:1,
  author	= {Adil Bagirov and Julien Ugon and Dean Webb and B\"ulent
		  Karas\"ozen},
  title		= {Classification through Incremental Max-min Separability},
  year		= {2011},
  volume	= {14},
  pages		= {165--174},
  journal	= {Pattern Analysis and Applications},
  number	= {2}
}

J. Tian, Z. Wu and J. Ugon (2011). Optimization methods for a class of integer polynomial programming problems. Operations Research Transactions. 15 23–35

@Article{	  tian.ea:2011,
  author	= {Jing Tian and Zhiyou Wu and Julien Ugon},
  title		= {Optimization Methods for a Class of Integer Polynomial
		  Programming Problems},
  year		= {2011},
  volume	= {15},
  pages		= {23--35},
  journal	= {Operations Research Transactions},
  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. 17 621–38

@Article{	  bagirov.ea:2010:1,
  author	= {Adil M. Bagirov and Asef Nazari Ganjehlou and Hakan Tor
		  and Julien Ugon},
  title		= {A generalized subgradient method with piecewise linear
		  subproblem},
  year		= {2010},
  volume	= {17},
  pages		= {621--638},
  journal	= {Dynamics of Continuous, Discrete \& Impulsive Systems},
  number	= {5}
}

A. Bagirov, J. Ugon, A. Nazari Ganjehlou and A. Tor (2010). Truncated codifferential method for nonsmooth convex optimization. Pacific Journal of Optimization. 6 483–96

@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},
  year		= {2010},
  volume	= {6},
  pages		= {483--496},
  journal	= {Pacific Journal of Optimization},
  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. 17 709–21

@Article{	  rubinov.ea:2010,
  author	= {A.M. Rubinov and N. Sukhorukova and J. Ugon},
  title		= {The choice of a similarity measure with respect to its
		  sensitivity to outliers },
  year		= {2010},
  volume	= {17},
  pages		= {709--721},
  journal	= {Dynamics of Continuous, Discrete \& Impulsive Systems},
  number	= {5}
}

N. Sukhorukova and J. Ugon (2010). Characterization theorem for best linear spline approximation with free knots. Dynamics of Continuous, Discrete & Impulsive Systems. 17 687–708

@Article{	  sukhorukova.ea:2010,
  author	= {Nadezda Sukhorukova and Julien Ugon},
  title		= {Characterization theorem for best linear spline
		  approximation with free knots},
  year		= {2010},
  volume	= {17},
  pages		= {687--708},
  journal	= {Dynamics of Continuous, Discrete \& Impulsive Systems},
  number	= {5}
}

N. Sukhorukova, J. Ugon and J. Yearwood (2009). Workload coverage through nonsmooth optimization. Optimization Methods and Software. 24 285–98

@Article{	  sukhorukova.ea:2009,
  author	= {Nadezda Sukhorukova and Julien Ugon and John Yearwood},
  title		= {Workload Coverage through nonsmooth optimization},
  year		= 2009,
  volume	= {24},
  pages		= {285--298},
  journal	= {Optimization Methods and Software},
  number	= {2},
  month		= {04}
}

G. Beliakov and J. Ugon (2007). Implementation of novel methods of global and nonsmooth optimization: GANSO programming library. Optimization. 56 543–6

@Article{	  beliakov.ea:2007,
  author	= {Gleb Beliakov and Julien Ugon},
  title		= {Implementation of novel methods of global and nonsmooth
		  optimization: GANSO programming library},
  year		= {2007},
  volume	= {56},
  pages		= {543--546},
  journal	= {Optimization},
  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. 48 315–25

@Article{	  ugon.ea:2007,
  author	= {Julien Ugon and Shahnaz Kouhbor and Musa Mammadov and Alex
		  Rubinov and Alex Kruger},
  title		= {Facility location via continuous optimisation with
		  discontinuous objective functions},
  year		= {2007},
  volume	= {48},
  pages		= {315--325},
  journal	= {ANZIAM Journal},
  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. 35 163–95

@Article{	  bagirov.ea:2006,
  author	= {Adil Bagirov and Julien Ugon},
  title		= {Piecewise Partially Separable Functions and a
		  Derivative-free Algorithm for Large Scale Nonsmooth
		  Optimization},
  year		= {2006},
  volume	= {35},
  pages		= {163--195},
  journal	= {Journal of Global Optimization},
  number	= {2},
  month		= {06}
}

A. Rubinov, N. Soukhoroukova and J. Ugon (2006). Classes and clusters in data analysis. European Journal of Operational Research. 173 849–65

@Article{	  rubinov.ea:2006,
  author	= {Alex Rubinov and Nadejda Soukhoroukova and Julien Ugon},
  title		= {Classes and clusters in data analysis},
  year		= {2006},
  volume	= {173},
  pages		= {849--865},
  journal	= {European Journal of Operational Research},
  number	= {3}
}

J. Ugon (2006). Optimization solvers and problem formulations for solving data clustering problems. Pacific Journal of Optimization. 3 387–97

@Article{	  ugon:2006,
  author	= {Julien Ugon},
  title		= {Optimization solvers and problem formulations for solving
		  data clustering problems},
  year		= {2006},
  volume	= {3},
  pages		= {387--397},
  journal	= {Pacific Journal of Optimization},
  number	= {2}
}

A. Bagirov and J. Ugon (2005). An algorithm for minimising clustering functions. Optimization. 54 351–68

@Article{	  bagirov.ea:2005:1,
  author	= {Adil Bagirov and Julien Ugon},
  title		= {An algorithm for minimising clustering functions},
  year		= {2005},
  volume	= {54},
  pages		= {351--368},
  journal	= {Optimization},
  number	= {4--5},
  month		= {08}
}

A. Bagirov and J. Ugon (2004). Separation of two sets by piecewise linear function. Applied and Computational Mathematics. 3 117–31

@Article{	  bagirov.ea:2004,
  author	= {Adil Bagirov and Julien Ugon},
  title		= {Separation of two sets by piecewise linear function},
  year		= {2004},
  volume	= {3},
  pages		= {117-131},
  journal	= {Applied and Computational Mathematics},
  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. 1–32. doi: 10.1007/978-1-4939-0808-0_1

@InCollection{	  bagirov.ea:2014,
  author	= {Adil M. Bagirov and Refail Kasimbeyli and G\"urkan
		  Ozt\"urk and Julien Ugon},
  title		= {Piecewise Linear Classifiers Based on Nonsmooth
		  Optimization Approaches},
  year		= {2014},
  pages		= {1--32},
  booktitle	= {Optimization in Science and Engineering},
  editor	= {Rassias, Themistocles M. and Floudas, Christodoulos A. and
		  Butenko, Sergiy},
  publisher	= {Springer}
}

A. Bagirov and J. Ugon (2005). Supervised data classification via max-min separability. Continuous optimisation: Current trends and modern applications. Springer, Berlin. 175–208. doi: 10.1007/0-387-26771-9_6

@InCollection{	  bagirov.ea:2005,
  author	= {Adil Bagirov and Julien Ugon},
  title		= {Supervised Data classification via Max-min separability},
  year		= {2005},
  pages		= {175--208},
  editor	= {Jeyakumar and Rubinov},
  booktitle	= {Continuous Optimisation: current trends and modern
		  applications},
  publisher	= {Springer},
  chapter	= {6},
  address	= {Berlin}
}

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. 409–34. doi: 10.1007/0-387-26771-9_15

@InCollection{	  rubinov.ea:2005,
  author	= {Alex Rubinov and Nadejda Soukhoroukova and Julien Ugon},
  title		= {Minimization of the sum of minima of convex functions and
		  its applications to clustering},
  year		= {2005},
  pages		= {409--434},
  editor	= {Jeyakumar and Rubinov},
  booktitle	= {Continuous Optimisation: current trends and modern
		  applications},
  publisher	= {Springer},
  chapter	= {15},
  address	= {Berlin}
}

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},
  year		= 2021,
  month		= {dec},
  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. 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}},
  year		= {2017},
  pages		= {161--172},
  booktitle	= {{Data Mining}},
  month		= {Aug},
  publisher	= {Springer},
  address	= {Singapore}
}

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. 20–5

@InProceedings{	  lenzen.ea:2010,
  author	= {Lenzen, M. and Kanemoto, K. and Geschke, A. and Moran, D.
		  and Mu{\~n}oz, 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},
  year		= {2010},
  pages		= {20--25},
  booktitle	= {18th International Input-Output Conference of the
		  International Input-Output Association (IIOA)},
  month		= {06},
  address	= {Sydney, Australia}
}

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. 39–44

@InProceedings{	  sukhorukova.ea:2010:1,
  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},
  year		= {2010},
  pages		= {39--44},
  booktitle	= {Proceedings of the Fourth Australasian Workshop on Health
		  Informatics and Knowledge Management-Volume 108},
  organization	= {Australian Computer Society, Inc.}
}

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. 1–5

@InProceedings{	  bagirov.ea:2009:1,
  author	= {Adil M. Bagirov and Julien Ugon and Dean Webb},
  title		= {A new modified global k-means algorithm for clustering
		  large data sets},
  year		= {2009},
  pages		= {1--5},
  booktitle	= {The XIII International Conference "Applied Stochastic
		  Models and Data Analysis" (ASMDA-2009),Selected papers.},
  editor	= {L. Sakalauskas and C. Skiadas and E. K. Zavadskas},
  address	= {Vilnus}
}

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. 507–11

@InProceedings{	  bagirov.ea:2009,
  author	= {Adil M. Bagirov and Julien Ugon and Dean Webb},
  title		= {An incremental approach for the construction of a
		  piecewise linear classifier},
  year		= {2009},
  pages		= {507--511},
  booktitle	= {The XIII International Conference "Applied Stochastic
		  Models and Data Analysis" (ASMDA-2009),Selected papers.},
  editor	= {L. Sakalauskas and C. Skiadas and E. K. Zavadskas},
  address	= {Vilnus}
}

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	= {Adil Bagirov and Julien Ugon and Andrew Barton and Steven
		  Briggs},
  title		= {Optimization of operations of a water distribution system
		  for reduced power usage},
  year		= {2008},
  booktitle	= {9th National conference on Hydraulics in Water
		  Engineering},
  address	= {Darwin, Australia}
}

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 1550–2252

@InProceedings{	  koubor.ea:2006,
  author	= {Shahnaz Koubor and Julien Ugon and Alex Rubinov and Musa
		  Mammadov and Alex Kruger},
  title		= {Coverage in {WLAN} with Minimum Number of Access Points},
  year		= {2006},
  volume	= {3},
  pages		= {1550--2252},
  booktitle	= {Proceeding of IEEE Vehicular Technology Conference},
  month		= {05}
}

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. 592–8

@InProceedings{	  kouhbor.ea:2005:1,
  author	= {Shahnaz Kouhbor and Julien Ugon and Alex Kruger and Alex
		  Rubinov},
  title		= {Optimal Placement of Access Point in {WLAN} Based on a New
		  Algorithm},
  year		= {2005},
  pages		= {592--598},
  booktitle	= {Proceedings of International Conference on Mobile Business
		  - IEEE/ICMB 2005},
  month		= {07}
}

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. 1 352–7

@InProceedings{	  kouhbor.ea:2005,
  author	= {Shahnaz Kouhbor and Julien Ugon and Alex Kruger and Alex
		  M. Rubinov and Philip Branch},
  title		= {A New Algorithm for the Placement of {WLAN} Access Points
		  Based on Nonsmooth Optimization Technique},
  year		= {2005},
  volume	= {1},
  pages		= {352--357},
  booktitle	= {Proceedings of 7th International Conference on Advanced
		  Communication Technology - IEEE/ICACT 2005},
  month		= {02}
}

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	= {Shahnaz Kouhbor and Julien Ugon and Alex Kruger and Alex
		  Rubinov and Philip Branch},
  title		= {Optimization in Wireless Local Area Network},
  year		= {2004},
  booktitle	= {Proceedings of 6th International Conference on
		  Optimization: Techniques and Applications -ICOTA 6},
  month		= {12},
  address	= {Ballarat, Australia}
}

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	= {Alex Rubinov and Nadejda Soukhoroukova and Julien Ugon},
  title		= {A feature selection approach for unsupervised
		  classification based on clustering},
  year		= {2004},
  booktitle	= {Proceedings of 6th International Conference on
		  Optimization: Techniques and Applications -ICOTA 6},
  month		= {12},
  address	= {Ballarat, Australia}
}

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	= {Alex Rubinov and Nadejda Soukhoroukova and Julien Ugon},
  title		= {Minimization of the sum of minima of convex functions},
  year		= {2003},
  booktitle	= {Proceedings of the Continuous Optimization and Optimal
		  Control Workshop},
  address	= {Melbourne},
  month		= {12}
}

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	= {Long Jia and Iradj Ouveysi and Julien Ugon},
  title		= {Queueing programming models in telecommunication network
		  maintenance},
  year		= {2003},
  booktitle	= {Industrial Optimisation, Vol 1, Proceedings of Symposium
		  in Industrial Optimisation, Western Australian Centre of
		  Excellence in Industrial Optimisation (WACEIO)},
  editor	= {Lou Caccetta and Volker Rehbock},
  address	= {Perth. Australia},
  organization	= {Curtin University}
}

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	= {Nadejda Soukhoroukova and Julien Ugon},
  title		= {A new algorithm to find a shape of a finite set of
		  points},
  year		= {2003},
  booktitle	= {Industrial Optimisation, Vol 1, Proceedings of Symposium
		  in Industrial Optimisation, Western Australian Centre of
		  Excellence in Industrial Optimisation (WACEIO)},
  editor	= {Lou Caccetta and V. Rehbock},
  address	= {Perth. Australia},
  organization	= {Curtin University}
}

Contact

Email: julien.ugon@deakin.edu.au