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Bogdan Grechuk
Bogdan Grechuk
Lecturer, Department of Mathematics, University of Leicester
Verified email at leicester.ac.uk
Title
Cited by
Cited by
Year
Frontiermath: A benchmark for evaluating advanced mathematical reasoning in ai
E Glazer, E Erdil, T Besiroglu, D Chicharro, E Chen, A Gunning, ...
arXiv preprint arXiv:2411.04872, 2024
1502024
Maximum entropy principle with general deviation measures
B Grechuk, A Molyboha, M Zabarankin
Mathematics of Operations Research 34 (2), 445-467, 2009
952009
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
912018
Risk averse decision making under catastrophic risk
B Grechuk, M Zabarankin
European Journal of Operational Research 239 (1), 166-176, 2014
502014
Mean‐Deviation Analysis in the Theory of Choice
B Grechuk, A Molyboha, M Zabarankin
Risk Analysis: An International Journal 32 (8), 1277-1292, 2012
462012
Inverse portfolio problem with mean-deviation model
B Grechuk, M Zabarankin
European Journal of Operational Research 234 (2), 481-490, 2014
392014
High-dimensional separability for one-and few-shot learning
AN Gorban, B Grechuk, EM Mirkes, SV Stasenko, IY Tyukin
Entropy 23 (8), 1090, 2021
352021
Cooperative games with general deviation measures
B Grechuk, A Molyboha, M Zabarankin
Mathematical Finance: An International Journal of Mathematics, Statistics …, 2013
292013
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
282010
Augmented artificial intelligence: a conceptual framework
AN Gorban, B Grechuk, IY Tyukin
arXiv preprint arXiv:1802.02172, 2018
242018
Inverse portfolio problem with coherent risk measures
B Grechuk, M Zabarankin
European Journal of Operational Research 249 (2), 740-750, 2016
242016
General stochastic separation theorems with optimal bounds
B Grechuk, AN Gorban, IY Tyukin
Neural Networks 138, 33-56, 2021
222021
Direct data-based decision making under uncertainty
B Grechuk, M Zabarankin
European Journal of Operational Research 267 (1), 200-211, 2018
212018
Optimal risk sharing with general deviation measures
B Grechuk, M Zabarankin
Annals of Operations Research 200 (1), 9-21, 2012
212012
Schur convex functionals: Fatou property and representation
B Grechuk, M Zabarankin
Mathematical Finance: An International Journal of Mathematics, Statistics …, 2012
182012
The center of a convex set and capital allocation
B Grechuk
European Journal of Operational Research 243 (2), 628-636, 2015
162015
Calculating exceedance probabilities using a distributionally robust method
F Faridafshin, B Grechuk, A Naess
Structural Safety 67, 132-141, 2017
142017
Synergy effect of cooperative investment
B Grechuk, M Zabarankin
Annals of Operations Research 249 (1), 409-431, 2017
142017
Sensitivity analysis in applications with deviation, risk, regret, and error measures
B Grechuk, M Zabarankin
SIAM Journal on Optimization 27 (4), 2481-2507, 2017
122017
Diophantine equations: a systematic approach
B Grechuk
arXiv preprint arXiv:2108.08705, 2021
102021
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Articles 1–20