digital signal and image processing,
artificial intelligent,
modular arithmetic,
digital devices,
high-performance computing.
Biography
He graduated from Stavropol State University, specialty "Mathematics" in 2009. He is PhD of Physical and Mathematical Sciences and an associate professor. Currently he works as a head of Mathematical Modeling department in FSAEI HE "North Caucasus Federal University".
P. A. Lyakhov, U. A. Lyakhova, R. I. Abdulkadirov, “Non-convex optimization with using positive-negative moment estimation and its application for skin cancer recognition with a neural network”, Computer Optics, 48:2 (2024), 260–271
2.
U. A. Lyakhova, P. A. Lyakhov, “Multimodal ensemble neural network system for skin cancer detection on heterogeneous dermatological data”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 20:2 (2024), 231–243
2023
3.
P. A. Lyakhov, A. R. Orazaev, “New method for detecting and removing random-valued impulse noise from images”, Computer Optics, 47:2 (2023), 262–271
4.
R. I. Abdulkadirov, P. A. Lyakhov, “A new approach to training neural networks using natural gradient descent with momentum based on Dirichlet distributions”, Computer Optics, 47:1 (2023), 160–169
5.
P. A. Lyakhov, N. N. Nagornov, N. F. Semyonova, A. Sh. Abdulsalyamova, “Development of algorithms for digital image processing based on the Winograd method in general form and analysis of their computational complexity”, Computer Optics, 47:1 (2023), 68–78
2022
6.
M. V. Valueva, P. A. Lyakhov, N. N. Nagornov, G. V. Valuev, “High-performance digital image filtering architectures in the residue number system based on the Winograd method”, Computer Optics, 46:5 (2022), 752–762
P. A. Lyakhov, U. A. Lyakhova, “Neural network classification system for pigmented skin neoplasms with preliminary hair removal in photographs”, Computer Optics, 45:5 (2021), 728–735
2020
8.
N. I. Chervyakov, P. A. Lyakhov, A. R. Orazaev, “3D-generalization of impulse noise removal method for video data processing”, Computer Optics, 44:1 (2020), 92–100
N. I. Chervyakov, P. A. Lyakhov, N. N. Nagornov, M. V. Valueva, G. V. Valuev, “Hardware implementation of a convolutional neural network using calculations in the residue number system”, Computer Optics, 43:5 (2019), 857–868
N. I. Chervyakov, P. A. Lyakhov, A. R. Orazaev, “New methods of adaptive median filtering of impulse noise in images”, Computer Optics, 42:4 (2018), 667–678
N. I. Chervyakov, M. G. Babenko, P. A. Lyakhov, I. N. Lavrinenko, A. M. Lyagin, “Multiplication and division in the residue number system using galois fields gf(p)”, St. Petersburg Polytechnical University Journal. Computer Science. Telecommunication and Control Sys, 2014, no. 3(198), 65–76
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