Maximum Entropy Principle with General Deviation Measures. - Bogdan Grechuk; Anton Molyboha; Michael Zabarankin (Math. Oper. Res., 2009)

Lower Semicontinuous Functions. - Bogdan Grechuk (Arch. Formal Proofs, 2011)

Optimal risk sharing with general deviation measures. - Bogdan Grechuk; Michael Zabarankin (Ann. Oper. Res., 2012)

Inverse portfolio problem with mean-deviation model. - Bogdan Grechuk; Michael Zabarankin (Eur. J. Oper. Res., 2014)

Risk averse decision making under catastrophic risk. - Bogdan Grechuk; Michael Zabarankin (Eur. J. Oper. Res., 2014)

A simple SSD-efficiency test. - Bogdan Grechuk (Optim. Lett., 2014)

The center of a convex set and capital allocation. - Bogdan Grechuk (Eur. J. Oper. Res., 2015)

Inverse portfolio problem with coherent risk measures. - Bogdan Grechuk; Michael Zabarankin (Eur. J. Oper. Res., 2016)

Synergy effect of cooperative investment. - Bogdan Grechuk; Michael Zabarankin (Ann. Oper. Res., 2017)

Forward and Inverse Problems in Two-Phase Fluid Dynamics. - Michael Zabarankin; Bogdan Grechuk (SIAM J. Control. Optim., 2017)

Sensitivity Analysis in Applications with Deviation, Risk, Regret, and Error Measures. - Bogdan Grechuk; Michael Zabarankin (SIAM J. Optim., 2017)

Augmented Artificial Intelligence: a Conceptual Framework. - Alexander N. Gorban; Bogdan Grechuk; Ivan Yu. Tyukin (CoRR, 2018)

Direct data-based decision making under uncertainty. - Bogdan Grechuk; Michael Zabarankin (Eur. J. Oper. Res., 2018)

Correction of AI systems by linear discriminants: Probabilistic foundations. - Alexander N. Gorban; A. Golubkov; Bogdan Grechuk; Eugenij Moiseevich Mirkes; Ivan Tyukin (Inf. Sci., 2018)

Practical stochastic separation theorems for product distributions. - Bogdan Grechuk (IJCNN, 2019)

Kernel Stochastic Separation Theorems and Separability Characterizations of Kernel Classifiers. - Ivan Yu. Tyukin; Alexander N. Gorban; Bogdan Grechuk; Stephen Green 001 (IJCNN, 2019)

Regression analysis: likelihood, error and entropy. - Bogdan Grechuk; Michael Zabarankin (Math. Program., 2019)

A convex cover for closed unit curves has area at least 0.1. - Bogdan Grechuk; Sittichoke Som-Am (Discret. Optim., 2020)

A Convex Cover for Closed Unit Curves has Area at Least 0.0975. - Bogdan Grechuk; Sittichoke Som-Am (Int. J. Comput. Geom. Appl., 2020)

Matrix Difference Equations in Applied Mathematics. - Michael Zabarankin; Bogdan Grechuk (SIAM J. Appl. Math., 2020)

High-Dimensional Separability for One- and Few-Shot Learning. - Alexander N. Gorban; Bogdan Grechuk; Evgeny M. Mirkes; Sergey V. Stasenko; Ivan Yu. Tyukin (Entropy, 2021)

General stochastic separation theorems with optimal bounds. - Bogdan Grechuk; Alexander N. Gorban; Ivan Yu. Tyukin (Neural Networks, 2021)

Individual and cooperative portfolio optimization as linear program. - Bogdan Grechuk; Dawei Hao (Optim. Lett., 2022)

On the smallest open Diophantine equations. - Bogdan Grechuk (SIGACT News, 2022)

Extended gradient of convex function and capital allocation. - Bogdan Grechuk (Eur. J. Oper. Res., 2023)

FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI. - Elliot Glazer; Ege Erdil; Tamay Besiroglu; Diego Chicharro; Evan Chen; Alex Gunning; Caroline Falkman Olsson; Jean-Stanislas Denain; Anson Ho; Emily de Oliveira Santos; Olli Järviniemi; Matthew Barnett; et al. (CoRR, 2024)

Buffered and Reduced Multidimensional Distribution Functions and Their Application in Optimization. - Bogdan Grechuk; Michael Zabarankin; Alexander Mafusalov; Stan Uryasev (Optim. Lett., 2024)

Benchmark-based deviation and drawdown measures in portfolio optimization. - Michael Zabarankin; Bogdan Grechuk; Dawei Hao (Optim. Lett., 2024)

When fractional quasi p-norms concentrate. - Ivan Yu. Tyukin; Bogdan Grechuk; Evgeny M. Mirkes; Alexander N. Gorban (CoRR, 2025)

StepProof: Step-by-step verification of natural language mathematical proofs. - Xiaolin Hu; Qinghua Zhou; Bogdan Grechuk; Ivan Yu. Tyukin (CoRR, 2025)