Research/art/teacher profile of a person
Name and surname:
doc. RNDr. Mária Trnovská, PhD.
Document type:
Research/art/teacher profile of a person
The name of the university:
Comenius University Bratislava
The seat of the university:
Šafárikovo námestie 6, 818 06 Bratislava

I. - Basic information

I.1 - Surname
Trnovská
I.2 - Name
Mária
I.3 - Degrees
doc., RNDr., PhD.
I.4 - Year of birth
1979
I.5 - Name of the workplace
Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics
I.6 - Address of the workplace
Mlynská dolina F1 842 48 Bratislava
I.7 - Position
associate professor
I.8 - E-mail address
trnovska@fmph.uniba.sk
I.9 - Hyperlink to the entry of a person in the Register of university staff
https://www.portalvs.sk/regzam/detail/4763
I.10 - Name of the study field in which a person works at the university
Mathematics
I.11 - ORCID iD
0000-0003-3610-1113

II. - Higher education and further qualification growth

II.1 - First degree of higher education
II.2 - Second degree of higher education
II.a - Name of the university or institution
Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics
II.b - Year
2002
II.c - Study field and programme
Mathematics, Mathematical structures, Computer graphics
II.3 - Third degree of higher education
II.a - Name of the university or institution
Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics
II.b - Year
2008
II.c - Study field and programme
Applied Mathematics
II.4 - Associate professor
II.a - Name of the university or institution
Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics
II.b - Year
2016
II.c - Study field and programme
Mathematics
II.5 - Professor
II.6 - Doctor of Science (DrSc.)

III. - Current and previous employment

III.a - Occupation-position III.b - Institution III.c - Duration
Associate professor Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics 1.7.2016-present
special assistant Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics 01.10.2006 - 30.06.2016

IV. - Development of pedagogical, professional, language, digital and other skills

IV.a - Activity description, course name, other IV.b - Name of the institution IV.c - Year
Algorithms for Large-Scale Convex Optimization - course Technical University of Denmark – DTU 2010
Neural Networks and Deep Learning, course Coursera 2017
Improving Deep Neural Networks: Hyperparameter Tuning, Regularization and Optimization Coursera 2017

V. - Overview of activities within the teaching career at the university

V.1 - Overview of the profile courses taught in the current academic year according to study programmes
V.1.a - Name of the profile course V.1.b - Study programme V.1.c - Degree V.1.d - Field of study
Linear programming Mathematics of Economy and Finance 1. Mathematics
Unconstrained optimization methods Mathematics of Economy and Finance 1. Mathematics
Nonlinear programming Mathematics of Economy and Finance 1. Mathematics
Convex optimization Mathematics of Economy, Finance and Modeling 2. Mathematics
Modern methods of convex optimization Applied Mathematics 3. Mathematics
V.2 - Overview of the responsibility for the delivery, development and quality assurance of the study programme or its part at the university in the current academic year
V.2.a - Name of the study programme V.2.b - Degree V.2.c - Field of study
Mathematics of Economy and Finance 1 Mathematics
Mathematics of Economy, Finance and Modeling 2 Mathematics
Applied mathematics 3 Mathematics
V.3 - Overview of the responsibility for the development and quality of the field of habilitation procedure and inaugural procedure in the current academic year
V.4 - Overview of supervised final theses
V.4.1 - Number of currently supervised theses
V.4.a - Bachelor's (first degree)
2
V.4.b - Diploma (second degree)
3
V.4.c - Dissertation (third degree)
1
V.4.2 - Number of defended theses
V.4.a - Bachelor's (first degree)
28
V.4.b - Diploma (second degree)
14
V.4.c - Dissertation (third degree)
2
V.5 - Overview of other courses taught in the current academic year according to study programmes
V.5.a - Name of the course V.5.b - Study programme V.5.c - Degree V.5.d - Field of study
Matrix calculus Mathematics od Economy and Finance 1. Mathematics
Unconstrained optimization methods Data science 1. Computer Science
Nonlinear programming exercises Mathematics od Economy and Finance 1. Mathematics
Linear programming Managerial mathematics 1. Mathematics
Linear programming Data science 1. Computer Science
Linear programming Mathematics 1. Mathematics

VI. - Overview of the research/artistic/other outputs

VI.1 - Overview of the research/artistic/other outputs and the corresponding citations
VI.1.1 - Number of the research/artistic/other outputs
VI.1.a - Overall
45
VI.1.b - Over the last six years
18
VI.1.2 - Number of the research/artistic/other outputs registered in the Web of Science or Scopus databases
VI.1.a - Overall
10
VI.1.b - Over the last six years
4
VI.1.3 - Number of citations corresponding to the research/artistic/other outputs
VI.1.a - Overall
108
VI.1.b - Over the last six years
72
VI.1.4 - Number of citations registered in the Web of Science or Scopus databases
VI.1.a - Overall
93
VI.1.b - Over the last six years
67
VI.1.5 - Number of invited lectures at the international, national level
VI.1.a - Overall
2
VI.1.b - Over the last six years
1
VI.2 - The most significant research/artistic/other outputs
1

M. Halická, M. Trnovská: The Russell measure model: Computational aspects, duality, and profit efficiency, European Journal of Operational Research. 268 (1), 2018, 386-397.

2

Mária Trnovská: Strong duality conditions in semidefinite programming. Journal of Electrical Engineering. - Vol. 56, No. 12/s (2005), s. 87-89

3

M. Halická, M. Trnovská: Duality and profit efficiency for the hyperbolic measure model,: European Journal of Operational Research, 278 (2), 2019, 410-421.

4

L Filová, M Trnovská, R Harman: Computing maximin efficient experimental designs using the methods of semidefinite programming. Metrika 75 (5), 2012, 709-719

5

R. Harman, M Trnovská: Approximate D-optimal designs of experiment on the convex hull of a finite set of information materices, Mathematica Slovaca 59 (6), 2009, 693-704.

VI.3 - The most significant research/artistic/other outputs over the last six years
1

Margaréta Halická, Mária Trnovská, Aleš Černý: A unified approach to radial, hyperbolic, and directional efficiency measurement in data envelopment analysis. European Journal of Operational Research. - 312, č. 1 (2024), s. 298-314

2

M Halická, M Trnovská: A unified approach to non-radial graph models in data envelopment analysis: common features, geometry, and duality. European Journal of Operational Research, European Journal of Operational Research. - č. 289 (2) (2021), s. 611-627

3

Mária Trnovská, Jakub Hrdina: Lagrangian Duality in Convex Conic Programming with Simple Proofs. Operations Research Forum [elektronický dokument]. - Roč. 4, č. 4 (2023), s. 1-20, art. no. 97 [online]

4

M Trnovská, M Halická, J Hrdina, Path-based DEA models in multiplier form and returns-to-scale analysis, Annals of Operations Research, 2024, https://link.springer.com/article/10.1007/s10479-024-06384-9

5

Margaréta Halická, Mária Trnovská, Aleš Černý: On indication, strict monotonicity, and efficiency of projections in a general class of path-based data envelopment analysis models, European Journal of Operational Research 320 (1), 175-187

VI.4 - The most significant citations corresponding to the research/artistic/other outputs
1

M. Halická, M. Trnovská: The Russell measure model: Computational aspects, duality, and profit efficiency, European Journal of Operational Research. 268 (1), 2018, 386-397.

Citations:

1. Zhu, Joe. "DEA under big data: Data enabled analytics and network data envelopment analysis." Annals of Operations Research 309.2 (2022): 761- 783.

2. Pereira, Miguel Alves, and Ana Santos Camanho. "The ‘Healthcare Access and Quality Index’revisited: A fuzzy data envelopment analysis approach." Expert Systems with Applications 245 (2024): 123057.

3. Barbero, Javier, and José L. Zofío. "The measurement of profit, profitability, cost and revenue efficiency through data envelopment analysis: A comparison of models using BenchmarkingEconomicEfficiency. jl." Socio-Economic Planning Sciences 89 (2023): 101656.

4. Aparicio, Juan, José L. Zofío, and Jesús T. Pastor. "Decomposing economic efficiency into technical and allocative components: an essential property." Journal of Optimization Theory and Applications 197.1 (2023): 98-129.

5. Gerami, Javad, et al. "Improving information reliability of non-radial value efficiency analysis: An additive slacks based measure approach." European journal of operational research 298.3 (2022): 967-978.

2

R. Harman, M Trnovská: Approximate D-optimal designs of experiment on the convex hull of a finite set of information materices, Mathematica Slovaca 59 (6), 2009, 693-704,

Citations:

  1. Yu, Y.: Monotonic convergence of a general algorithm for computing optimal designs. In: Annals of Statistics, Vol. 38, No. 3, 2010, s. 1593-1606
  2. Liu, Deyi, Volkan Cevher, and Quoc Tran-Dinh. "A Newton Frank–Wolfe method for constrained self-concordant minimization." Journal of Global Optimization (2022): 1-27.
  3. Lu, Zhaosong, and Ting Kei Pong. "Computing optimal experimental designs via interior point method." SIAM Journal on Matrix Analysis and Applications 34.4 (2013): 1556-1580.
  4. Sagnol, Guillaume. "Approximation of a maximum-submodular-coverage problem involving spectral functions, with application to experimental designs." Discrete Applied Mathematics 161.1-2 (2013): 258-276.
  5. Pronzato, Luc, and Anatoly A. Zhigljavsky. "Algorithmic construction of optimal designs on compact sets for concave and differentiable criteria." Journal of Statistical Planning and Inference 154 (2014): 141-155.

3

L Filová, M Trnovská, R Harman: Computing maximin efficient experimental designs using the methods of semidefinite programming. Metrika 75 (5), 2012, 709-719,

Citations:

  1. Duarte, B. P. M. - Sagnol, G. - Wong, W. K.: An algorithm based on semidefinite programming for finding minimax optimal designs. In: Computational Statistics and Data Analysis, Vol. 119, 218, s. 99-117
  2. López-Fidalgo, Jesús. "Optimal experimental design." Springer Nature Switzerland, Cham 26 (2023): 93-95.
  3. Mandal, Abhyuday, Weng Kee Wong, and Yaming Yu. "Algorithmic searches for optimal designs." Handbook of design and analysis of experiments (2015): 755-783.
  4. Duarte, Belmiro PM, and Weng Kee Wong. "Finding Bayesian optimal designs for nonlinear models: a semidefinite programming‐based approach." International Statistical Review 83.2 (2015): 239-262.
  5. Duarte, Belmiro PM, Weng Kee Wong, and Holger Dette. "Adaptive grid semidefinite programming for finding optimal designs." Statistics and Computing 28 (2018): 441-460.

4

M Halická, M Trnovská: A unified approach to non-radial graph models in data envelopment analysis: common features, geometry, and duality. European Journal of Operational Research, European Journal of Operational Research. - č. 289 (2) (2021), s. 611-627

Citations:

1. Zhai, Xu-Quan, et al. "Dynamic changes and convergence of China's regional green productivity: A dynamic spatial econometric analysis." Advances in Climate Change Research 13.2 (2022): 266-278.

2. Emrouznejad, Ali, et al. "Rajiv Banker’s lasting impact in data envelopment analysis." Annals of Operations Research (2025): 1-40.

3. Díaz-Hernández, Juan José, David-José Cova- Alonso, and Eduardo Martínez-Budría. "Measuring technical efficiency under variable returns to scale using Debreu's loss function." European Journal of Operational Research (2024).

4. Pastor, Jesus T., et al. "The standard reverse approach for decomposing economic inefficiency." Journal of the Operational Research Society 75.4 (2024): 647-659.

5. Pastor, Jesús T., Juan Aparicio, and José L. Zofío. "The Loss Distance Function: Economic Inefficiency Decompositions." Benchmarking Economic Efficiency: Technical and Allocative Fundamentals.Cham: Springer International Publishing, 2022. 399-414.

5

M. Trnovská: Strong duality conditions in semidefinite programming, Journal of Electrical Engineering. - Vol. 56, No. 12/s (2005), s. 87-89,

Citations:

  1. Magron, V. - Henrion, D. - Lasserre, J. B.: Semidefinite approximations of projections and polynomial images of semialgebraic sets. In: SIAM Journal on Optimization, Vol. 25, No. 4, 2015, s. 2143-2164
  2. Henrion, Didier, Milan Korda, and Jean Bernard Lasserre. Moment-sos Hierarchy, The: Lectures In Probability, Statistics, Computational Geometry, Control And Nonlinear Pdes. Vol. 4. World Scientific, 2020.
  3. Josz, Cédric, and Didier Henrion. "Strong duality in Lasserre’s hierarchy for polynomial optimization." Optimization Letters 10.1 (2016): 3-10.
  4. Harrow, Aram W., Anand Natarajan, and Xiaodi Wu. "An improved semidefinite programming hierarchy for testing entanglement." Communications in Mathematical Physics 352.3 (2017): 881-904.
  5. Magron, Victor, et al. "Semidefinite approximations of reachable sets for discrete-time polynomial systems." SIAM Journal on Control and Optimization 57.4 (2019): 2799-2820.

VI.5 - Participation in conducting (leading) the most important research projects or art projects over the last six years
1

VEGA 1/0611/21 Modern methods of convex optimization in data envelopment analysis and their applications, project leader

2

APVV-20-0311 Novel qualitative and numerical methods for solving Hamilton-Jacobi-Bellman equations involving conic optimization problems , project member

3

VEGA 1/0062/18 Solution of direct and inverse variational problems by means of modern conic programming methods, deputy project leader

4

VEGA 1/0341/19 Methods of optimal experimental design, project member

5

VEGA 1/0631/25 Theoretical and computational aspects of data envelopment analysis, project leader

VII. - Overview of organizational experience related to higher education and research/artistic/other activities

VII.a - Activity, position VII.b - Name of the institution, board VII.c - Duration
Member of the state examination board for the study programme: Mathematics of Economy and Finance, first degree Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics 2016-present
Member of the state examination boardfor the study programme: Mathematics of Economy, Finance and Modeling Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics 2016-present
Member of the local organizing comitee for the conference: Mathematical Methods in Economy and Industry 2021. 21, Smolenice, 15.09.2021 – 19.09.2021 Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics september 2021

VIII. - Overview of international mobilities and visits oriented on education and research/artistic/other activities in the given field of study

IX. - Other relevant facts

Date of last update
2025-03-15