array(14 items) uid => 951 (integer) title => 'Core potentials: The consensus segmentation conjecture' (54 chars) abstract => 'Segmentations are partitions of an ordered set into non-overlapping interval
s. The Consensus Segmentation or Segmentation Aggregation problem is a speci
al case of the median problems with applications in time series analysis and
computational biology. A wide range of dissimilarity measures for segmentat
ions can be expressed in terms of potentials, a special type of set-function
s. In this contribution, we shed more light on the properties of potentials,
and how such properties affect the solutions of the Consensus Segmentation
problem. In particular, we disprove a conjecture stated in 2021, and we prov
ide further insights into the theoretical foundations of the problem.' (677 chars) authors => array(3 items) 0 => array(3 items) last_name => 'Santiago Argüllo' (17 chars) first_name => 'Anahy' (5 chars) sorting => 1 (integer) 1 => array(3 items) last_name => 'Scholz' (6 chars) first_name => 'Guillaume. E.' (14 chars) sorting => 2 (integer) 2 => array(3 items) last_name => 'Stadler' (7 chars) first_name => 'Peter Florian' (13 chars) sorting => 3 (integer) type => '0' (1 chars) keywords => '' (0 chars) year => 2024 (integer) affiliation => 0 (integer) link_paper => '' (0 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => ' Math. Comput. Sci.' (19 chars) doi => '10.1007/s11786-024-00593-y' (26 chars) preprint => '-1' (2 chars)
Core potentials: The consensus segmentation conjecture
2024: Anahy Santiago Argüllo; Guillaume. E. Scholz; Peter Florian StadlerIn: Math. Comput. Sci. DOI: 10.1007/s11786-024-00593-y
Segmentations are partitions of an ordered set into non-overlapping intervals. The Consensus Segmentation or Segmentation Aggregation problem is a special case of the median problems with applications in time series analysis and computational biology. A wide range of dissimilarity measures for segmentations can be expressed in terms of potentials, a special type of set-functions. In this contribution, we shed more light on the properties of potentials, and how such properties affect the solutions of the Consensus Segmentation problem. In particular, we disprove a conjecture stated in 2021, and we provide further insights into the theoretical foundations of the problem.