Reflections on multivariate algorithmics and problem parameterization

R Niedermeier - … Symposium on Theoretical Aspects of Computer …, 2010 - drops.dagstuhl.de
Research on parameterized algorithmics for NP-hard problems has steadily grown over the
last years. We survey and discuss how parameterized complexity analysis naturally …

A (slightly) faster algorithm for Klee's measure problem

TM Chan - Proceedings of the twenty-fourth annual symposium on …, 2008 - dl.acm.org
Given n axis-parallel boxes in a fixed dimension d≥ 3, how efficiently can we compute the
volume of the union? This standard problem in computational geometry, commonly referred …

The limited blessing of low dimensionality: when 1-1/d is the best possible exponent for d-dimensional geometric problems

D Marx, A Sidiropoulos - Proceedings of the thirtieth annual symposium …, 2014 - dl.acm.org
We are studying d-dimensional geometric problems that have algorithms with 1− 1/d
appearing in the exponent of the running time, for example, in the form of 2n1− 1/d or nk1 …

Minimum L_∞ Hausdorff Distance of Point Sets Under Translation: Generalizing Klee's Measure Problem

TM Chan - … Symposium on Computational Geometry (SoCG 2023 …, 2023 - drops.dagstuhl.de
We present a (combinatorial) algorithm with running time close to O (n^ d) for computing the
minimum directed L_∞ Hausdorff distance between two sets of n points under translations …

FPTAS for minimizing the earth mover's distance under rigid transformations and related problems

H Ding, J Xu - Algorithmica, 2017 - Springer
In this paper, we consider the problem (denoted as EMDRT) of minimizing the earth mover's
distance between two sets of weighted points A and B in R^ d R d under rigid transformation …

Approximate nearest neighbor search under translation invariant hausdorff distance

C Knauer, M Scherfenberg - International Journal of Computational …, 2011 - World Scientific
We present an embedding and search reduction which allow us to build the first data
structure for the nearest neighbor search among small point sets with respect to the directed …

Minimum Hausdorff Distance of Point Sets Under Translation: Generalizing Klee's Measure Problem

TM Chan - arXiv preprint arXiv:2303.09122, 2023 - arxiv.org
We present a (combinatorial) algorithm with running time close to $ O (n^ d) $ for computing
the minimum directed $ L_\infty $ Hausdorff distance between two sets of $ n $ points under …

FPTAS for minimizing earth mover's distance under rigid transformations

H Ding, J Xu - Algorithms–ESA 2013: 21st Annual European …, 2013 - Springer
In this paper, we consider the problem (denoted as EMDRT) of minimizing the earth mover's
distance between two sets of weighted points A and B in a fixed dimensional ℝ d space …

[HTML][HTML] Approximate one-to-one point pattern matching

M Benkert, J Gudmundsson, D Merrick… - Journal of Discrete …, 2012 - Elsevier
Given a set A={a1,…, an} of n image points and a set B={b1,…, bn} of n model points, the
problem is to find a transformation matching (a one-to-one mapping) each point a∈ A to …

Efficient Nearest Neighbor Search on Metric Time Series

JP Schäfer - 2022 - elib.dlr.de
While Deep-Learning approaches beat Nearest-Neighbor classifiers in an increasing
number of areas, searching existing uncertain data remains an exclusive task for similarity …