activity
20182026
most citedA Model of an Oscillatory Neural Network with Multilevel Neurons for Pattern Recognition and Computing

43 citations · 106 across the 9 of their papers we have counts for

collaborators

9 papers

eess.IV2026

Entropy-map SSIM analysis of Salt and Pepper Noise Removal via Recursive Median Filterring

Petr Boriskov, Andrei Velichko

This paper studies the removal of salt-and-pepper (SP) noise from grayscale images using a median filter (MF) within a recursive thresholding algorithm. Denoising performance is as…

eess.IV2026

Local SVD-Entropy Maps as a Complementary Structural Representation for Full-Reference and No-Reference Image Quality Assessment

Andrei Velichko, Petr Boriskov

We investigate a local spectral-complexity representation for perceptual image quality assessment (IQA) based on Shannon entropy of singular values computed directly from two-dimen…

eess.IV2025

Recursive Threshold Median Filter and Autoencoder for Salt-and-Pepper Denoising: SSIM analysis of Images and Entropy Maps

Petr Boriskov, Kirill Rudkovskii, Andrei Velichko

This paper studies the removal of salt-and-pepper noise from images using median filter (MF) and simple three-layer autoencoder (AE) within recursive threshold algorithm. The perfo…

nlin.CD2025★ 7 cited

A Novel Approach for Estimating Largest Lyapunov Exponents in One-Dimensional Chaotic Time Series Using Machine Learning

A. Velichko, M. Belyaev, P. Boriskov

Understanding and quantifying chaos from data remains challenging. We present a data-driven method for estimating the largest Lyapunov exponent (LLE) from one-dimensional chaotic t…

q-bio.NC2024

Entropy-statistical approach to phase-locking detection of pulse oscillations: application for the analysis of biosignal synchronization

Petr Boriskov, Vadim Putrolaynen, Andrei Velichko +1

In this study a new method for analyzing synchronization in oscillator systems is proposed using the example of modeling the dynamics of a circuit of two resistively coupled pulse…

cs.LG2023★ 6 cited

A Bio-Inspired Chaos Sensor Model Based on the Perceptron Neural Network: Machine Learning Concept and Application for Computational Neuro-Science

Andrei Velichko, Petr Boriskov, Maksim Belyaev +1

The study presents a bio-inspired chaos sensor model based on the perceptron neural network for the estimation of entropy of spike train in neurodynamic systems. After training, th…

cs.ET2019★ 30 cited

Oscillator Circuit for Spike Neural Network with Sigmoid Like Activation Function and Firing Rate Coding

Andrei Velichko, Petr Boriskov

The study presents an oscillator circuit for a spike neural network with the possibility of firing rate coding and sigmoid-like activation function. The circuit contains a switchin…

physics.app-ph2019★ 20 cited

Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural Oscillators

Petr Boriskov, Andrei Velichko

In this paper, we present circuit solutions based on a switch element with the S-type I-V characteristic implemented using the classic FitzHugh-Nagumo and FitzHugh-Rinzel models. U…

cs.ET2018★ 43 cited

A Model of an Oscillatory Neural Network with Multilevel Neurons for Pattern Recognition and Computing

Andrei Velichko, Maksim Belyaev, Petr Boriskov

The current study uses a novel method of multilevel neurons and high order synchronization effects described by a family of special metrics, for pattern recognition in an oscillato…