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While Mixed-integer linear programming (MILP) is NP-hard in general, practical MILP has received roughly 100--fold speedup in the past twenty years. Still, many classes of MILPs quickly become unsolvable as their sizes increase, motivating…

Machine Learning · Computer Science 2023-05-29 Ziang Chen , Jialin Liu , Xinshang Wang , Jianfeng Lu , Wotao Yin

We propose a novel approach to automatically tracking cell populations in time-lapse images. To account for cell occlusions and overlaps, we introduce a robust method that generates an over-complete set of competing detection hypotheses. We…

Computer Vision and Pattern Recognition · Computer Science 2016-01-27 Engin Türetken , Xinchao Wang , Carlos Becker , Carsten Haubold , Pascal Fua

In this work, we describe a method for large-scale 3D cell-tracking through a segmentation selection approach. The proposed method is effective at tracking cells across large microscopy datasets on two fronts: (i) It can solve problems…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Jordão Bragantini , Merlin Lange , Loïc Royer

A Hamiltonian decomposition of a regular graph is a partition of its edge set into Hamiltonian cycles. The problem of finding edge-disjoint Hamiltonian cycles in a given regular graph has many applications in combinatorial optimization and…

Combinatorics · Mathematics 2022-01-12 Andrey Kostenko , Andrei Nikolaev

Decompositions of networks are useful not only for structural exploration. They also have implications and use in analysis and computational solution of processes (such as the Ising model, percolation, SIR model) running on a given network.…

Disordered Systems and Neural Networks · Physics 2020-04-29 Konstantin Klemm

The accurate segmentation and tracking of cells in microscopy image sequences is an important task in biomedical research, e.g., for studying the development of tissues, organs or entire organisms. However, the segmentation of touching…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Tim Scherr , Katharina Löffler , Moritz Böhland , Ralf Mikut

Segmenting an image into multiple components is a central task in computer vision. In many practical scenarios, prior knowledge about plausible components is available. Incorporating such prior knowledge into models and algorithms for image…

Computer Vision and Pattern Recognition · Computer Science 2015-09-08 Loic A. Royer , David L. Richmond , Carsten Rother , Bjoern Andres , Dagmar Kainmueller

Many important problems in Bioinformatics (e.g., assembly or multi-assembly) admit multiple solutions, while the final objective is to report only one. A common approach to deal with this uncertainty is finding safe partial solutions (e.g.,…

Data Structures and Algorithms · Computer Science 2023-02-01 Fernando H. C. Dias , Manuel Caceres , Lucia Williams , Brendan Mumey , Alexandru I. Tomescu

A major bottleneck in search-based program synthesis is the exponentially growing search space which makes learning large programs intractable. Humans mitigate this problem by leveraging the compositional nature of the real world: In…

Artificial Intelligence · Computer Science 2024-12-25 Jonas Witt , Sebastijan Dumančić , Tias Guns , Claus-Christian Carbon

Automatic cell tracking in dense environments is plagued by inaccurate correspondences and misidentification of parent-offspring relationships. In this paper, we introduce a novel cell tracking algorithm named DenseTrack, which integrates…

Image and Video Processing · Electrical Eng. & Systems 2024-07-08 Tanjin Taher Toma , Yibo Wang , Andreas Gahlmann , Scott T. Acton

Cell lineage statistics is a powerful tool for inferring cellular parameters, such as division rate, death rate or the population growth rate. Yet, in practice such an analysis suffers from a basic problem: how should we treat incomplete…

Populations and Evolution · Quantitative Biology 2023-09-14 Arthur Genthon , Takashi Nozoe , Luca Peliti , David Lacoste

Sequence segmentation is a well-studied problem, where given a sequence of elements, an integer K, and some measure of homogeneity, the task is to split the sequence into K contiguous segments that are maximally homogeneous. A classic…

Data Structures and Algorithms · Computer Science 2019-02-12 Nikolaj Tatti

Segmentation is a key stage in dermoscopic image processing, where the accuracy of the border line that defines skin lesions is of utmost importance for subsequent algorithms (e.g., classification) and computer-aided early diagnosis of…

Computer Vision and Pattern Recognition · Computer Science 2019-02-21 Pedro M. M. Pereira , Rui Fonseca-Pinto , Rui Pedro Paiva , Luis M. N. Tavora , Pedro A. A. Assuncao , Sergio M. M. de Faria

We tackle the problem of graph partitioning for image segmentation using correlation clustering (CC), which we treat as an integer linear program (ILP). We reformulate optimization in the ILP so as to admit efficient optimization via…

Computer Vision and Pattern Recognition · Computer Science 2019-08-05 Margret Keuper , Jovita Lukasik , Maneesh Singh , Julian Yarkony

While robotic manipulation of rigid objects is quite straightforward, coping with deformable objects is an open issue. More specifically, tasks like tying a knot, wiring a connector or even surgical suturing deal with the domain of…

Computer Vision and Pattern Recognition · Computer Science 2018-10-11 Daniele De Gregorio , Gianluca Palli , Luigi Di Stefano

Covering problems are well-studied in the domain of Operations Research, and, more specifically, in Location Science. When the location space is a network, the most frequent assumption is to consider the candidate facility locations, the…

Optimization and Control · Mathematics 2023-01-18 Mercedes Pelegrín , Liding Xu

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. Here we explore the practical impact of kernelization (i.e. data reduction) on the NP-hard problem of computing the TBR distance between two unrooted binary…

Data Structures and Algorithms · Computer Science 2023-08-21 Rim van Wersch , Steven Kelk , Simone Linz , Georgios Stamoulis

Mixed-Integer Linear Programming (MILP) plays an important role across a range of scientific disciplines and within areas of strategic importance to society. The MILP problems, however, suffer from combinatorial complexity. Because of…

Optimization and Control · Mathematics 2023-01-06 Mikhail A. Bragin , Emily L. Tucker

Multi-layer graphs consist of several graphs (layers) over the same vertex set. They are motivated by real-world problems where entities (vertices) are associated via multiple types of relationships (edges in different layers). We chart the…

Computational Complexity · Computer Science 2019-10-23 Robert Bredereck , Christian Komusiewicz , Stefan Kratsch , Hendrik Molter , Rolf Niedermeier , Manuel Sorge

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. In practice it is not uncommon to obtain two topologically distinct trees for the same set of species, and this motivates the use of distance measures to…

Data Structures and Algorithms · Computer Science 2026-03-24 David Mestel , Steven Chaplick , Steven Kelk , Ruben Meuwese