Talk by Dr Pambos Evripidou, May the 11th

Speaker: Dr Charalambos (Pambos) Evripidou, LaTrobe University

Title:  Lehmer’s problem and Coxeter polynomials

Date and Time:  Friday, May 11th, 3.00pm – 4.00pm

Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet  please contact rmitopt@rmit.edu.au)

Abstract:    

Bio:  I am a postdoctoral researcher at La Trobe University, working with Reinout Quispel. Before joining La Trobe University at 2017, I held a postdoctoral position at University of Cyprus. My main research area is on integrable systems but I have done some work on group and number theoretic related problems. My talk will be on such a problem, which originated from the need of finding large prime numbers.

RMITOpt Talk: Extending de Bruijn’s Identity – Prof. Bill Moran

   

Speaker: Prof. Bill Moran

Title:  Extending de Bruijn’s Identity

Date and Time:  Friday, April 27th, 3.00pm – 4.00pm

Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet  please contact rmitopt@rmit.edu.au)

Abstract:    The de Bruijn’s identity is a classical result in Information. Theory relating two well-known measures of information in distributions: Shannon Entropy and Fisher Information. It measures, in terms of the Fisher Information, how the entropy of a distribution increases as it evolves under Brownian noise. The original identity was proved for distributions on the real line, but is not hard to extend to n dimensions.

Our work has attempted to find analogues in the context of Riemannian manifolds. There, it is not even clear, ab initio, what the statement of the theorem should be. Our approach requires extension of the notion of Intrinsic Fisher Information to Riemannian manifolds. From this we are able to show that a probabilistic solution to the heat equation results in a heat equation for the entropy density of this solution, but with a source term that arises from the Fisher Information density. Combined with the Li-Yau inequality this lead to bounds on the rate of increase of entropy on a manifold. The seminar will discuss ideas around Fisher Information, forms on manifolds, and the heat equation, as well as a little history of the identity.  This is joint work with Stephen Howard (DST Edinburgh), Doug Cochran (Arizona State U).

Bio:  Professor Bill Moran currently is in the Department of Electrical and Electronic Engineering at The University of Melbourne. Previously he served as the Director of Signal Processing and Sensor Control Group in the School of Engineering, at RMIT and before that Director of the Defence Science Institute (2011–2014) in the University of Melbourne,  Professor of Mathematics (’76–’91), Head of the Department of Pure Mathematics (’77–’79, ’84–’86), Dean of Mathematical and Computer Sciences (’81, ’82, ’89) at the University of Adelaide, and Head of the Mathematics Discipline at the Flinders University of South Australia (’91–’95), during which time he worked in various roles in CSSIP. He was a member of the Australian Research Council College of Experts (2007-09).   He was elected to the Fellowship of the Australian Academy of Science in 1984. He holds a Ph.D. in Pure Mathematics from the University of Sheffield, UK (’68), and a First Class Honours B.Sc. in Mathematics from the University of Birmingham (’65). He has been a Principal Investigator on numerous research grants and contracts, in areas spanning pure mathematics to radar development, from both Australian and US Research Funding Agencies, including DARPA, AFOSR, AFRL, Australian Research Council (ARC), and DSTO. His main areas of research interest are in signal processing both theoretically and in applications to radar, waveform design and radar theory, sensor networks, and sensor management. He also works in various areas of mathematics including harmonic analysis, representation theory, and number theory.

Talk by Dr. Walter Kozlowski in April

 

   

Speaker: Dr. Walter Kozlowski,

Network Evolution 2020 Infrastructure,Telstra

Title:  Common fixed points of monotone Lipschitzian semigroups in Banach spaces

Date and Time:  Friday, April 13th, 3.00pm – 4.00pm

Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet  please contact rmitopt@rmit.edu.au)

Abstract:     We will discuss the existence of common fixed points of monotone Lipschitzian semigroups in Banach spaces under the natural condition that the images under the action of the semigroup at certain point are comparable to the point. In particular, we prove that if one map in the semigroup is a monotone contraction mapping, then such common fixed point exists. In the case of a monotone nonexpansive semigroup we prove the existence of common fixed points if the Banach space is uniformly convex in every direction. We explain why these assumptions are substantially weaker than those made in the pre-existing literature. We will also touch upon some non-trivial applications, as well as on recent research directions in the field.

Bio:   Dr Walter Kozlowski – publishing in Mathematics as Wojciech M. Kozlowski – has been actively involved in research activities in Mathematics and Applications since 1980s with a particular interest in functional analysis, fixed point theory and applications. A Fulbright scholar, an author of a monographic book “Modular Function Spaces”, co-author of recently published book “Fixed Point Theory in Modular Function Spaces” and of numerous scientific papers, he has held several academic posts at the universities around the world, currently as an Adjunct Professor at the School of Mathematics and Statistics of the University of New South Wales and a research collaborator of CARMA (Research Centre for Computer-Assisted Research Mathematics and its Applications) at the University of Newcastle, NSW, Australia. In parallel, Walter has been pursuing a professional career in Information and Communication Technology with over 25 years of increasingly responsible experience within leading global organisations including IBM, Telstra, and Hewlett-Packard.  In this capacity, he has been leading large-scale digital transformation projects for clients in the telecommunications and media industries worldwide, as well he has published several industry related business and technology articles. Walter has been awarded by The Open Group the title of the Distinguished IT Architect in the category of Chief Architect. Walter also participates in the PhD Industry Mentoring programme organised by the La Trobe University in Melbourne. In 2017 Walter has assumed a position of the Chief Architect of the Telstra Network Function Virtualisation program, in which role he leads the technology transformation of towards the software controlled, virtualised network.

 

RMITOpt Seminar this Friday the 23rd March at 1.30pm – Dr. Anand Deopurkar, ANU

 

  Speaker: Dr. Anand Deopurkar

Title:  The algebra and geometry of algebraic varieties

Date and Time:  Friday, March 16th, 1:30pm – 2.30pm

Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet  please contact rmitopt@rmit.edu.au)

Abstract:     Abstract: An algebraic variety is the set of common zeros of a collection of polynomial equations. A central theme in algebraic geometry is to understand the connection between the geometric properties of the zero set (for example, curvature) and the algebraic properties of the polynomials (for example, degrees). I will explain known and conjectural results in this area with lots of examples.

Bio:   Anand is lecturer at the Australian National University. Before coming to ANU, he was a post-doc at Columbia University and the University of Georgia, and before that, a graduate student at Harvard.

Anand studies moduli spaces of algebraic varieties. That is, he tries to understand how algebraic varieties deform when the defining equations are perturbed. In addition to algebraic geometry, he enjoys thinking about problems in algebra, number theory, and representation theory.

Talk by Bertrand Jouve, March the 16th

 

  Speaker: Bertrand Jouve

Title:  Using graph theory for the study of medieval social network

Date and Time:  Friday, March 16th, 3:00pm – 4.00pm

Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet  please contact rmitopt@rmit.edu.au)

Abstract:    We show how classical and new tools of graph theory may be used for studying medieval sources. The large-scale processing of information contained in agrarian contracts between 1250 and 1550 allows to propose forms of social organizations of the peasant world of the south of France that bring new points of view to some major questions posed by historians.

Bio:   Bertrand Jouve is a senior researcher at the French National Centre for Scientific Research (CNRS). He studied pure mathematics, passed the agrégation in Mathematics and, in 1999, was awarded a doctorate (PhD) in Cognitive Sciences under the supervision of Pierre Rosenstiehl (mathematician) and Michel Imbert (neuroscientist) at the Higher School of Social Sciences (EHESS, Paris). First an Assistant Professor in Toulouse, then a Full-Professor of Applied Mathematics in Lyon, he was appointed Senior Researcher by the CNRS 53 interdisciplinary Commission in 2014. Bertrand Jouve’s work focuses on the construction of mathematical models of graph theory to be used for the analysis of large-scale interaction networks. Over a decade, he has worked at the boundary of neurosciences on the topological structure of cortico-cortical neural connections of monkey brains. Since 2004, he has been working at the boundary of Social Sciences and Humanities. He first collaborated with linguists on the structure of language dictionaries, with sociologists to analyze large-scale social networks and with historians with a view to reconstructing former complex social networks. Bertrand Jouve created the Toulouse Institute for Complex System Studies (XSYS) in 2014. Bertrand Jouve is engaged in the national administration and strategy of French research. He was a member of the CNRS board between 2011 and 2016 and member of the CNRS Committee for Intensive Computing. Since June 2016, he has been President of the National Network of 23 Houses of Social Science and Humanities (RNMSH) which is a part of the French national strategy for excellence in Social Sciences and Humanities.

 

Talk by Asen Dontchev in early March

 

 

 

 

Speaker: Asen Dontchev

Title: Constrained Spline Interpolation

Date and Time:  Friday, March 2nd, 3:00pm – 4.00pm

Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet  please contact rmitopt@rmit.edu.au)

Abstract: It is well known that the interpolating cubic spline can be viewed as a solution of an optimal control problem. This fascinating connection between the classical approximation theory and the theory of optimal control has been explored by researches from both sides in different times and often independently. In this talk I will review some developments on spline interpolation with constraints.  In particular, I will show how a long-standing open question about super-linear convergence of Newton’s method for best convex interpolation has been settled.

Final Presentation Healthier/RMIT by Iman Roozbeh at RMIT January the 16th

 

  Speaker: Iman Roozbeh

Title: Improving the optimisation of automated meal plan generation through a combination of specific health information and personal preferences

Date and Time:  Tuesday, January 16, 10:30am – 11:30am

Location:  Building 8 Level 9 Room 66 (AGR) RMIT City campus

Abstract:  Proper dietary guidance is a critical component of chronic disease management. However, just 5,000 dietitians operate in Australia to serve the estimated 7 million people currently living with chronic disease. Our current approach to delivering health care is not coping now and it certainly won’t in the future. Dietitians face the challenges of integrating complex scientific information, lifestyle and food preferences, applied to a range of medical conditions. Dietitians cannot provide personalised meal plans to every client because the process is too time consuming and many do not have adequate training.

To address these issues, Health Delivered is developing a dietary management platform to tackle the growing rates of obesity, diabetes and other chronic health issues by building customised meal plans for patients. The platform has been created to build meal plans that account for social, personal and medical history as well as health goals and personal preferences, in an efficient manner and assist dieticians to see more number of clients and focus on quality of client care.

Katharine Turner, Persistent homology rank function

Speaker: Dr Katharine Turner
Australian National University
Title: Persistent homology rank function
Date and time: Monday 13 November 2017, 10:30am
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus

Abstract:
Persistent homology is a tool for capturing how topological features evolve over an increasing family of spaces. Commonly these spaces are taken to be the unions of balls of increasing radii about some finite set of points. Using this scaling parameter we can summarise geometric information as a topological summary statistic. In this talk I will introduce persistent homology and define the persistent homology rank function which, as a functional summary lying in a Hilbert space, enables us to perform statistical analysis such as principal component analysis. I will present some applications including testing complete spatial randomness of spatial point patterns, and comparing experimental sphere packings and colloid data under different temperatures. This talk is based on work with Vanessa Robins.

CIAO Talk, Reinier Diaz Millan: On the splitting optimization problem with enlargement

CIAO Talk, Reinier Diaz Millan: On the splitting optimization problem with enlargement

Speaker: Dr Reinier Diaz Millan
Federal Institute of Goias
Title: On the splitting optimization problem with enlargement
Date and time: 11:30am, Thursday 16 November 2017
Location: Room T121, Mt Helen Campus (this is at Federation University, RMIT crowd please connect via Visimeet).

Abstract:
In this paper, we present two approximate versions of the forward-backward splitting method for solving the minimization problem. In both cases, the objective function is the sum of two convex functions, maybe not differentiable. The algorithms involve, at each iteration, inexact evaluations of the backward operator and approximate subgradients of the functions (namely: the ε-subgradients). The first method considers an absolutely summable error criterion, whereas the second method uses a relative error criterion recently introduced for approximating proximal operators. Various stepsize rules are considered, including both diminishing and non-vanishing stepsizes, and convergence in objective values and convergence to a neighbourhood of the optimal set are obtained. The convergence analysis of the two methods shares underlying elements. Read more

Kate Smith-Miles: Optimization in the Darkness of Uncertainty: when you don’t know what you don’t know, and what you do know isn’t much!

Kate Smith-Miles: Optimization in the Darkness of Uncertainty: when you don’t know what you don’t know, and what you do know isn’t much!

Speaker: Prof. Kate Smith-Miles
University of Melbourne
Title: Optimization in the Darkness of Uncertainty: when you don’t know what you don’t know, and what you do know isn’t much!
Date and time: Monday 6 November 2017, 3:30–4:30pm
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus

Abstract:
How do we find the optimal solution for a constrained multiobjective optimisation problem when we have no analytical expression for the objective functions, and very limited function evaluations within the huge search space due to the expense of measuring the objective functions? Calculus can’t help you, and trial and error is not an option! This talk will describe a common practical optimisation problem found in many industrial settings with these challenges, and introduce some methods for expensive black-box optimisation. Finally, we will address the question of how best to evaluate the performance of such methods by generating new test instances with controllable characteristics. Read more

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