Data fusion: theory, methods, and applications

M Gagolewski - arxiv preprint arxiv:2208.01644, 2022 - arxiv.org
A proper fusion of complex data is of interest to many researchers in diverse fields, including
computational statistics, computational geometry, bioinformatics, machine learning, pattern …

Multivariate algorithmics for NP-hard string problems

L Bulteau, F Hüffner, C Komusiewicz… - … for Theoretical Computer …, 2014 - hal.science
String problems arise in various applications ranging from text mining to biological
sequence analysis. Many string problems are NP-hard. This motivates the search for (fixed …

Fixed-parameter tractability of crossover: steady-state GAs on the closest string problem

AM Sutton - Algorithmica, 2021 - Springer
We investigate the effect of crossover in the context of parameterized complexity on a well-
known fixed-parameter tractable combinatorial optimization problem known as the closest …

[PDF][PDF] The fine-grained complexity of median and center string problems under edit distance

G Hoppenworth, JW Bentley, D Gibney… - 28th Annual European …, 2020 - par.nsf.gov
We present the first fine-grained complexity results on two classic problems on strings. The
first one is the k-Median-Edit-Distance problem, where the input is a collection of k strings …

A closer look at the closest string and closest substring problem

M Chimani, M Woste, S Böcker - … Proceedings of the Thirteenth Workshop on …, 2011 - SIAM
Let S be a set of k strings over an alphabet Σ; each string has a length between ℓ and n. The
Closest Substring Problem (CSSP) is to find a minimal integer d (and a corresponding string …

Finding median and center strings for a probability distribution on a set of strings under Levenshtein distance based on integer linear programming

M Hayashida, H Koyano - … Joint Conference, BIOSTEC 2016, Rome, Italy …, 2017 - Springer
For a data set composed of numbers or numerical vectors, a mean is the most fundamental
measure for capturing the center of the data. However, for a data set of strings, a mean of the …

On the hardness of the consensus string problem

A Amir, H Paryenty, L Roditty - Information Processing Letters, 2013 - Elsevier
Finding the consensus of a given set of strings is a hard and challenging problem. The
problem is formally defined as follows: given a set of strings S={s1,…, sk} and a constant d …

Integer linear programming approach to median and center strings for a probability distribution on a set of strings

M Hayashida, H Koyano - International Conference on …, 2016 - scitepress.org
We address problems of finding median and center strings for a probability distribution on a
set of strings under Levenshtein distance, which are known to be NP-hard in a special case …

Randomized fixed-parameter algorithms for the closest string problem

ZZ Chen, B Ma, L Wang - Algorithmica, 2016 - Springer
Given a set S={s_1, s_2, ..., s_n\} S= s 1, s 2,…, sn of strings of equal length LL and an
integer dd, the closest string problem (CSP) requires the computation of a string ss of length …

A GRASP algorithm for the Closest String Problem using a probability-based heuristic

SR Mousavi, NN Esfahani - Computers & operations research, 2012 - Elsevier
Abstract The Closest String Problem (CSP) is the problem of finding a string whose
Hamming distance from the members of a given set of strings of the same length is minimal …