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ORCIDAleksandr Cariow
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Journal Articles
- 2023
[j11]Aleksandr Cariow
, Galina Cariowa:
Fast Algorithms for Deep Octonion Networks. IEEE Trans. Neural Networks Learn. Syst. 34(1): 543-548 (2023)- 2021
- [j10]Aleksandr Cariow, Janusz P. Paplinski:
A Parallel Algorithm for Dividing Octonions. Algorithms 14(11): 309 (2021) - [j9]Aleksandr Cariow, Galina Cariowa:
Fast Algorithms for Quaternion-Valued Convolutional Neural Networks. IEEE Trans. Neural Networks Learn. Syst. 32(1): 457-462 (2021) - 2020
- [j8]Aleksandr Cariow, Galina Cariowa, Dorota Majorkowska-Mech:
An Algorithm for Quaternion-Based 3D Rotation. Int. J. Appl. Math. Comput. Sci. 30(1): 149-160 (2020) - [j7]Dorota Majorkowska-Mech, Aleksandr Cariow:
Discrete Pseudo-Fractional Hadamard Transform and its Fast Algorithm. IEEE Signal Process. Lett. 27: 1195-1199 (2020) - 2019
- [j6]Aleksandr Cariow, Dorota Majorkowska-Mech, Janusz P. Paplinski, Galina Cariowa:
A New Fast Algorithm for Discrete Fractional Hadamard Transform. IEEE Trans. Circuits Syst. I Regul. Pap. 66-I(7): 2584-2592 (2019) - 2018
- [j5]Bartosz Andreatto, Aleksandr Cariow:
Automatic generation of fast algorithms for matrix-vector multiplication. Int. J. Comput. Math. 95(3): 626-644 (2018) - 2017
- [j4]Dorota Majorkowska-Mech, Aleksandr Cariow:
A Low-Complexity Approach to Computation of the Discrete Fractional Fourier Transform. Circuits Syst. Signal Process. 36(10): 4118-4144 (2017) - 2015
- [j3]Aleksandr Cariow, Dorota Majorkowska-Mech:
Fast algorithm for discrete fractional Hadamard transform. Numer. Algorithms 68(3): 585-600 (2015) - 2013
- [j2]Aleksandr Cariow, Galina Cariowa:
An algorithm for fast multiplication of sedenions. Inf. Process. Lett. 113(9): 324-331 (2013) - 2012
- [j1]Aleksandr Cariow, Galina Cariowa:
Rationalized algorithm for computing the product of two sedenions. Central Eur. J. Comput. Sci. 2(4): 389-397 (2012)
Conference and Workshop Papers
- 2018
- [c6]Aleksandr Cariow, Galina Cariowa:
Hardware-Efficient Algorithm for 3D Spatial Rotation. ACS 2018: 387-395 - [c5]Dorota Majorkowska-Mech, Aleksandr Cariow:
An Algorithm for Computing the True Discrete Fractional Fourier Transform. ACS 2018: 420-432 - [c4]Aleksandr Cariow, Galina Cariowa, Dorota Majorkowska-Mech:
A Fast Algorithm for Quaternion-Based 4D Rotation. ICCVG 2018: 28-37 - 2016
- [c3]Aleksandr Cariow, Galina Cariowa:
An Algorithm for the Vandermonde Matrix-Vector Multiplication with Reduced Multiplicative Complexity. ACS 2016: 185-194 - 2014
- [c2]Aleksandr Cariow, Galina Cariowa:
On the Multiplication of Biquaternions. ACS 2014: 423-434 - 2012
- [c1]Marek Gliszczynski, Galina Cariowa, Aleksandr Cariow:
Rationalized procedures of FDWT/IDWT basic operations execution for DB4, DB6 and coif6 filters. PDeS 2012: 124-127
Informal and Other Publications
- 2020
- [i14]Aleksandr Cariow, Galina Cariowa:
Minimal Filtering Algorithms for Convolutional Neural Networks. CoRR abs/2004.05607 (2020) - [i13]Aleksandr Cariow, Galina Cariowa:
An algorithm for dividing quaternions. CoRR abs/2009.00425 (2020) - 2018
- [i12]Aleksandr Cariow, Galina Cariowa:
Hardware-Efficient Structure of the Accelerating Module for Implementation of Convolutional Neural Network Basic Operation. CoRR abs/1811.03458 (2018) - 2017
- [i11]Aleksandr Cariow, Galina Cariowa, Marina Chicheva:
Hardware-Efficient Schemes of Quaternion Multiplying Units for 2D Discrete Quaternion Fourier Transform Processors. CoRR abs/1703.06320 (2017) - [i10]Aleksandr Cariow, Galina Cariowa:
Some Schemes for Implementation of Arithmetic Operations with Complex Numbers Using Squaring Units. CoRR abs/1705.07465 (2017) - 2016
- [i9]Aleksandr Cariow:
An algorithm for dividing two complex numbers. CoRR abs/1608.07596 (2016) - [i8]Aleksandr Cariow, Galina Cariowa:
A Hardware-Efficient Approach to Computing the Rotation Matrix from a Quaternion. CoRR abs/1609.01585 (2016) - 2015
- [i7]Aleksandr Cariow, Galina Cariowa:
A new algorithm for multiplying two Dirac numbers. CoRR abs/1501.00828 (2015) - [i6]Aleksandr Cariow, Galina Cariowa, Jaroslaw Knapinski:
Derivation of a low multiplicative complexity algorithm for multiplying hyperbolic octonions. CoRR abs/1502.06250 (2015) - [i5]Aleksandr Cariow, Galina Cariowa, Bartosz Kubsik:
An algorithm for multiplication of split-octonions. CoRR abs/1503.01058 (2015) - [i4]Aleksandr Cariow, Galina Cariowa, Rafal Lentek:
An algorithm for multipication of Kaluza numbers. CoRR abs/1505.06425 (2015) - [i3]Bartosz Andreatto, Aleksandr Cariow:
An algorithm for fast computation of the multiresolution discrete Fourier transform. CoRR abs/1507.02525 (2015) - [i2]Aleksandr Cariow, Dorota Majorkowska-Mech:
An algorithm for discrete fractional Hadamard transform. CoRR abs/1507.05387 (2015) - 2014
- [i1]Aleksandr Cariow, Galina Cariowa:
A Hardware-oriented Algorithm for Complex-valued Constant Matrix-vector Multiplication. CoRR abs/1410.6937 (2014)
Coauthor Index
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