2 citations · 4 across the 10 of their papers we have counts for
10 papers
Notes on the Golden Ratio: The Golden Rule of Vector Similarities in Space
Artyom M. Grigoryan, Meruzhan M. Grigoryan
In this work, we have abstractly generalized the similarity law for multidimensional vectors. Initially, the law of similarity was derived for one-dimensional vectors. Although it…
Quantum-Inspired Edge Detection Algorithms Implementation using New Dynamic Visual Data Representation and Short-Length Convolution Computation
Artyom M. Grigoryan, Sos S. Agaian, Karen Panetta
As the availability of imagery data continues to swell, so do the demands on transmission, storage and processing power. Processing requirements to handle this plethora of data is…
3-Qubit Circular Quantum Convolution Computation using Fourier Transform with Illustrative Examples
Artyom M. Grigoryan, Sos S. Agaian
In this work, we describe examples for calculating the 1-D circular convolution of signals represented by 3-qubit superpositions. The case is considered, when the discrete Fourier…
An Efficient Calculation of Quaternion Correlation of Signals and Color Images
Artyom M. Grigoryan, Sos S. Agaian
Over the past century, a correlation has been an essential mathematical technique utilized in engineering sciences, including practically every signal/image processing field. This…
Algorithm and Circuit of Nesting Doubled Qubits
Artyom M. Grigoryan, Sos S. Agaian
Copying the quantum states is contradictory to classical information processing since the fundamental difference between classical and quantum information is that while classical i…
Effective Methods of QR-Decompositions of Square Complex Matrices by Fast Discrete Signal-Induced Heap Transforms
Artyom M. Grigoryan
The purpose of this work is to present an effective tool for computing different QR-decompositions of a complex nonsingular square matrix. The concept of the discrete signal-induce…