Some properties of matrix product and its applications in nonnegative tensor decomposition
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@Article{JICS-3-243,
author = {},
title = {Some properties of matrix product and its applications in nonnegative tensor decomposition},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {3},
number = {4},
pages = {243--257},
abstract = { In DNA related research, due to various environment conditions, mutations occur very often,
where a mutation is defined as a heritable change in the DNA sequence. Therefore, approximate string
matching is applied to answer those queries which find mutations. The problem of approximate string
matching is that given a user specified parameter, k, we want to find where the substrings, which could have
k errors at most as compared to the query sequence, occur in the database sequences. In this paper, we make
use of a new index structure to support the proposed method for approximate string matching. In the
proposed index structure, EII, we map each overlapping q-gram of the database sequence into an index key,
and record occurring positions of the q-gram in the corresponding index entry. In the proposed method, EOB,
we first generate all possible mutations for each gram in the query sequence. Then, by utilizing information
recorded in the EII structure, we check both local order (i.e., the order of characters in a gram) and global
order (i.e., the order of grams in an interval) of these mutations. The final answers could be determined
directly without applying dynamic programming which is used in traditional filter methods for approximate
string matching. From the experiment results, we show that our method could outperform the (k + s) q-
samples filter, a well-known method for approximate string matching, in terms of the processing time with
various conditions for short query sequences.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22764.html}
}
TY - JOUR
T1 - Some properties of matrix product and its applications in nonnegative tensor decomposition
AU -
JO - Journal of Information and Computing Science
VL - 4
SP - 243
EP - 257
PY - 2024
DA - 2024/01
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22764.html
KW - databases, approximate string matching, DNA, mutation, similarity search
AB - In DNA related research, due to various environment conditions, mutations occur very often,
where a mutation is defined as a heritable change in the DNA sequence. Therefore, approximate string
matching is applied to answer those queries which find mutations. The problem of approximate string
matching is that given a user specified parameter, k, we want to find where the substrings, which could have
k errors at most as compared to the query sequence, occur in the database sequences. In this paper, we make
use of a new index structure to support the proposed method for approximate string matching. In the
proposed index structure, EII, we map each overlapping q-gram of the database sequence into an index key,
and record occurring positions of the q-gram in the corresponding index entry. In the proposed method, EOB,
we first generate all possible mutations for each gram in the query sequence. Then, by utilizing information
recorded in the EII structure, we check both local order (i.e., the order of characters in a gram) and global
order (i.e., the order of grams in an interval) of these mutations. The final answers could be determined
directly without applying dynamic programming which is used in traditional filter methods for approximate
string matching. From the experiment results, we show that our method could outperform the (k + s) q-
samples filter, a well-known method for approximate string matching, in terms of the processing time with
various conditions for short query sequences.
. (2024). Some properties of matrix product and its applications in nonnegative tensor decomposition.
Journal of Information and Computing Science. 3 (4).
243-257.
doi:
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