Bogdan Grechuk
Bogdan Grechuk
Lecturer, Department of Mathematics, University of Leicester
Verified email at leicester.ac.uk
Title
Cited by
Cited by
Year
Maximum entropy principle with general deviation measures
B Grechuk, A Molyboha, M Zabarankin
Mathematics of Operations Research 34 (2), 445-467, 2009
672009
Correction of AI systems by linear discriminants: Probabilistic foundations
AN Gorban, A Golubkov, B Grechuk, EM Mirkes, IY Tyukin
Information Sciences 466, 303-322, 2018
482018
Risk averse decision making under catastrophic risk
B Grechuk, M Zabarankin
European Journal of Operational Research 239 (1), 166-176, 2014
422014
Mean‐Deviation Analysis in the Theory of Choice
B Grechuk, A Molyboha, M Zabarankin
Risk Analysis: An International Journal 32 (8), 1277-1292, 2012
332012
Inverse portfolio problem with mean-deviation model
B Grechuk, M Zabarankin
European Journal of Operational Research 234 (2), 481-490, 2014
282014
Chebyshev inequalities with law-invariant deviation measures
B Grechuk, A Molyboha, M Zabarankin
Probability in the Engineering and Informational Sciences 24 (1), 145-170, 2010
252010
Augmented artificial intelligence: a conceptual framework
AN Gorban, B Grechuk, IY Tyukin
arXiv preprint arXiv:1802.02172, 2018
192018
Inverse portfolio problem with coherent risk measures
B Grechuk, M Zabarankin
European Journal of Operational Research 249 (2), 740-750, 2016
172016
Cooperative games with general deviation measures
B Grechuk, A Molyboha, M Zabarankin
Mathematical Finance: An International Journal of Mathematics, Statistics …, 2013
172013
Optimal risk sharing with general deviation measures
B Grechuk, M Zabarankin
Annals of Operations Research 200 (1), 9-21, 2012
162012
Direct data-based decision making under uncertainty
B Grechuk, M Zabarankin
European Journal of Operational Research 267 (1), 200-211, 2018
122018
Schur convex functionals: Fatou property and representation
B Grechuk, M Zabarankin
Mathematical Finance: An International Journal of Mathematics, Statistics …, 2012
112012
Calculating exceedance probabilities using a distributionally robust method
F Faridafshin, B Grechuk, A Naess
Structural Safety 67, 132-141, 2017
102017
General stochastic separation theorems with optimal bounds
B Grechuk, AN Gorban, IY Tyukin
Neural Networks 138, 33-56, 2021
92021
The center of a convex set and capital allocation
B Grechuk
European Journal of Operational Research 243 (2), 628-636, 2015
92015
Sensitivity analysis in applications with deviation, risk, regret, and error measures
B Grechuk, M Zabarankin
SIAM Journal on Optimization 27 (4), 2481-2507, 2017
82017
A simple SSD-efficiency test
B Grechuk
Optimization Letters 8 (7), 2135-2143, 2014
82014
Theorems of the 21st Century
B Grechuk
Springer, 2019
52019
Practical stochastic separation theorems for product distributions
B Grechuk
2019 International Joint Conference on Neural Networks (IJCNN), 1-8, 2019
42019
Kernel Stochastic Separation Theorems and Separability Characterizations of Kernel Classifiers
IY Tyukin, AN Gorban, B Grechuk, S Green
2019 International Joint Conference on Neural Networks (IJCNN), 1-6, 2019
32019
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Articles 1–20