14 citations · 37 across the 4 of their papers we have counts for
4 papers
On the decay of elements of inverse triangular Toeplitz matrix
Neville Ford, D. V. Savostyanov, N. L. Zamarashkin
We consider half-infinite triangular Toeplitz matrices with slow decay of the elements and prove under a monotonicity condition that elements of the inverse matrix, as well as elem…
A variant of list plus CRC concatenated polar code
Gregory Bonik, Sergei Goreinov, Nickolai Zamarashkin
A new family of codes based on polar codes, soft concatenation and list+CRC decoding is proposed. Numerical experiments show the performance competitive with industry standards and…
Construction and analysis of polar and concatenated polar codes: practical approach
Gregory Bonik, Sergei Goreinov, Nickolai Zamarashkin
We consider two problems related to polar codes. First is the problem of polar codes construction and analysis of their performance without Monte-Carlo method. The formulas propose…
Fast truncation of mode ranks for bilinear tensor operations
Dmitry Savostyanov, Eugene Tyrtyshnikov, Nikolay Zamarashkin
We propose a fast algorithm for mode rank truncation of the result of a bilinear operation on 3-tensors given in the Tucker or canonical form. If the arguments and the result have…