Analysis of evolutionary diversity optimization for permutation problems

A Do, M Guo, A Neumann, F Neumann - ACM Transactions on …, 2022 - dl.acm.org
Generating diverse populations of high-quality solutions has gained interest as a promising
extension to the traditional optimization tasks. This work contributes to this line of research …

Computing diverse shortest paths efficiently: A theoretical and experimental study

T Hanaka, Y Kobayashi, K Kurita, SW Lee… - Proceedings of the AAAI …, 2022 - ojs.aaai.org
Finding diverse solutions in combinatorial problems recently has received considerable
attention (Baste et al. 2020; Fomin et al. 2020; Hanaka et al. 2021). In this paper we study …

Determinantal sieving

E Eiben, T Koana, M Wahlström - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
We introduce a new, remarkably powerful tool to the toolbox of algebraic FPT algorithms,
determinantal sieving. Given a polynomial P (x 1,…, xn) over a field 𝔽 of characteristic 2, on …

A framework to design approximation algorithms for finding diverse solutions in combinatorial problems

T Hanaka, M Kiyomi, Y Kobayashi… - Proceedings of the …, 2023 - ojs.aaai.org
Finding a\emph {single} best solution is the most common objective in combinatorial
optimization problems. However, such a single solution may not be applicable to real-world …

Diverse approximations for monotone submodular maximization problems with a matroid constraint

AV Do, M Guo, A Neumann, F Neumann - arxiv preprint arxiv:2307.07567, 2023 - arxiv.org
Finding diverse solutions to optimization problems has been of practical interest for several
decades, and recently enjoyed increasing attention in research. While submodular …

Diverse pairs of matchings

FV Fomin, PA Golovach, L Jaffke, G Philip… - arxiv preprint arxiv …, 2020 - arxiv.org
We initiate the study of the Diverse Pair of (Maximum/Perfect) Matchings problems which
given a graph $ G $ and an integer $ k $, ask whether $ G $ has two (maximum/perfect) …

Finding diverse strings and longest common subsequences in a graph

Y Shida, G Punzi, Y Kobayashi, T Uno… - arxiv preprint arxiv …, 2024 - arxiv.org
In this paper, we study for the first time the Diverse Longest Common Subsequences (LCSs)
problem under Hamming distance. Given a set of a constant number of input strings, the …

Maximization of minimum weighted Hamming distance between set pairs

T Matsuoka, S Ito - Asian Conference on Machine Learning, 2024 - proceedings.mlr.press
Abstract\emph {Finding diverse solutions} to combinatorial optimization problems is
beneficial for a deeper understanding of complicated real-world problems and for simpler …

Obtaining approximately optimal and diverse solutions via dispersion

J Gao, M Goswami, CS Karthik, MT Tsai… - Latin American …, 2022 - Springer
There has been a long-standing interest in computing diverse solutions to optimization
problems. In 1995 J. Krarup posed the problem of finding k-edge disjoint Hamiltonian …

Finding diverse minimum st cuts

M de Berg, AL Martínez, F Spieksma - arxiv preprint arxiv:2303.07290, 2023 - arxiv.org
Recently, many studies have been devoted to finding diverse solutions in classical
combinatorial problems, such as Vertex Cover (Baste et al., IJCAI'20), Matching (Fomin et …