# Dr. Radu Ioan Bot

Faculty of Mathematics

University of Vienna

Room 07.135

Oskar-Morgenstern-Platz 1

1090 Wien, Austria

mail: radu.bot@univie.ac.at

phone: +43 1 4277 50772

web: personal homepage

## Full Professor (Applied Mathematics with emphasis on Optimization)

**Research area in the programme**

- Convex Optimization
- Nonsmooth Optimization

Keywords

- convex optimization
- nonsmooth optimization
- monotone operator theory
- discrete versus continuous approaches in optimization
- numerical algorithms
- convergence analysis
- applications to real-life problems

### Research Interests

The research interests of Radu Ioan Boț include theoretical investigations and the designing and implementation of numerical algorithms in convex and nonsmooth optimization. To his current research topics belong:

- the development and improvement of primal-dual splitting algorithms for monotone inclusions and their applicability to nonsmooth convex optimization problems;

- the implementation of inertial and memory effects in minimization algorithms for the purpose of accelerating their convergence rates;

- the development and implementation of algorithms for the minimization of nonsmooth and nonconvex functions with analytic features;

- the approaching of monootne inclusions via implicit first and second order dynamical systems;

- the solving of applied interdisciplinary problems arising in areas like image and signal processing, machine learning, location theory, optimal portfolio selection, clustering, network communication, etc.

### Know-how and infrastructure of the research group

Radu Ioan Boț is the head of the research group on Applied Mathematics and Optimization at the Faculty of Mathematics of the University of Vienna, to which currently belong also a PostDoc and a PhD student. The research group has a good international reputation in areas related to the study from theoretical and numerical point of view of nonsmooth convex and nonconvex optimization problems. Recently, Radu Ioan Boț was appointed as deputy head of the research platform Computational Science Center at the University of Vienna. It provides the necessary personnel and logistic competencies for carrying out numerical experiments in relation to the solving of real-life problems.

### Collaborations within the VGSCO

Beginning with the Summer Term 2014, Radu Ioan Boț is organizing together with Arnold Neumaier and Hermann Schichl the Optimization Seminar of the Faculty of Mathematics of the University of Vienna. For the Winter Term 2014/2015 he gave together with Hermann Schichl the lecture Nonsmooth Optimization in particular addressed to Master and PhD students.

### Scientific CV

Positions

since 07/2015 Deputy head of the research platform “Computational Science Center” at the University of Vienna

since 04/2014 Associate Professor, University of Vienna, Faculty of Mathematics

07/2013 – 03/2014 Assistant Professor, University of Vienna, Faculty of Mathematics

04/2011 – 06/2013 Assistant Professor, Chemnitz University of Technology, Faculty of Mathematics

10/2010 – 03/2011 Temporary position of Professor of Applied Mathematics, Heinrich Heine University Düsseldorf, Mathematical Institute

08/2003 – 09/2010 PostDoc, Chemnitz University of Technology, Faculty of Mathematics

Education

12/2008: Habilitation in Mathematics, Chemnitz University of Technology

06/2003: PhD in Mathematics, Chemnitz University of Technology

06/1999: MSc in Mathematics, “Babeș-Bolyai“ University Cluj-Napoca

06/1998: Diploma in Mathematics, “Babeș-Bolyai“ University Cluj-Napoca

Awards

2010: awarded with the University Prize of the Chemnitz University of Technology

1999: Ph.D. Fellowship of the “Gottlieb Daimler- und Karl Benz-Stiftung”

1998: SMWK-Fellowship of the land Saxony for a research stay at Chemnitz University of Technology

1998: awarded for graduating the Faculty of Mathematics and Computing Science of the “Babeș-Bolyai“ University Cluj-Napoca with the best grade possilble

### Publications

Boţ, RI & Grad, S-M 2018, 'Inertial forward–backward methods for solving vector optimization problems' *Optimization: a journal of mathematical programming and operations research*, vol. 67, no. 7, pp. 959-974. DOI: 10.1080/02331934.2018.1440553

Bot, RI & Csetnek, ER 2018, 'Approaching Nonsmooth Nonconvex Optimization Problems Through First Order Dynamical Systems with Hidden Acceleration and Hessian Driven Damping Terms' *Set-Valued and Variational Analysis*, vol. 26, no. 2, pp. 227-245. DOI: 10.1007/s11228-017-0411-1

Boţ, RI, Csetnek, ER & Nimana, N 2018, 'An Inertial Proximal-Gradient Penalization Scheme for Constrained Convex Optimization Problems' *Vietnam Journal of Mathematics*, vol. 46, no. 1, pp. 53-71. DOI: 10.1007/s10013-017-0256-9

Bot, RI, Csetnek, ER & Nimana, N 2018, 'Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data' *Optimization Letters*, vol. 12, no. 1, pp. 17-33. DOI: 10.1007/s11590-017-1158-1

Bot, RI & Csetnek, ER 2018, 'A forward-backward dynamical approach to the minimization of the sum of a nonsmooth convex with a smooth nonconvex function' *ESAIM: Control, Optimisation and Calculus of Variations*, vol. 24, no. 2, pp. 463-477. DOI: 10.1051/cocv/2017020

Banert, S & Bot, RI 2018, 'A forward-backward-forward differential equation and its asymptotic properties, Journal of Convex Analysis' *Journal of Convex Analysis*, vol. 25, no. 2, pp. 371-388.

Bot, RI, Csetnek, ER & Laszlo, S 2018, 'Approaching nonsmooth nonconvex minimization through second order proximal-gradient dynamical systems' *Journal of Evolution Equations*, vol. 18, no. 3, pp. 1291 - 1318. DOI: 10.1007/s00028-018-0441-7

Bot, RI & Csetnek, ER 2018, 'Convergence rates for forward-backward dynamical systems associated with strongly monotone inclusions' *Journal of Mathematical Analysis and Applications*, vol. 457, no. 2, pp. 1135-1152.

Bot, RI, Csetnek, ER & Laszlo, S 2018, 'Second order dynamical systems with penalty terms associated to monotone inclusions' *Analysis and Applications*, vol. 6, no. 5, 5, pp. 601-622. DOI: 10.1142/S0219530518500021