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Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Combining the use of our data structure for characterizing feasible packings with our new classes of…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Joerg Schepers , Jan C. van der Veen

Graph neural networks are useful for learning problems, as well as for combinatorial and graph problems such as the Subgraph Isomorphism Problem and the Traveling Salesman Problem. We describe an approach for computing Steiner Trees by…

Machine Learning · Computer Science 2023-05-02 Reyan Ahmed , Mithun Ghosh , Kwang-Sung Jun , Stephen Kobourov

New algorithms are devised for finding the maxima of multidimensional point samples, one of the very first problems studied in computational geometry. The algorithms are very simple and easily coded and modified for practical needs. The…

Data Structures and Algorithms · Computer Science 2009-10-09 Wei-Mei Chen , Hsien-Kuei Hwang , Tsung-Hsi Tsai

Linear diagrams are an effective way to visualize set-based data by representing elements as columns and sets as rows with one or more horizontal line segments, whose vertical overlaps with other rows indicate set intersections and their…

Computational Geometry · Computer Science 2022-08-18 Alexander Dobler , Martin Nöllenburg

We propose a novel method applicable in many scene understanding problems that adapts the Monte Carlo Tree Search (MCTS) algorithm, originally designed to learn to play games of high-state complexity. From a generated pool of proposals, our…

Computer Vision and Pattern Recognition · Computer Science 2022-07-08 Sinisa Stekovic , Mahdi Rad , Alireza Moradi , Friedrich Fraundorfer , Vincent Lepetit

Differentiable simulation is a promising toolkit for fast gradient-based policy optimization and system identification. However, existing approaches to differentiable simulation have largely tackled scenarios where obtaining smooth…

Machine Learning · Statistics 2022-07-04 Rika Antonova , Jingyun Yang , Krishna Murthy Jatavallabhula , Jeannette Bohg

We consider an interactive multiview video streaming (IMVS) system where clients select their preferred viewpoint in a given navigation window. To provide high quality IMVS, many high quality views should be transmitted to the clients.…

Multimedia · Computer Science 2015-06-26 Ana De Abreu , Laura Toni , Nikolaos Thomos , Thomas Maugey , Fernando Pereira , Pascal Frossard

Research on the similarity of a graph to being a tree - called the treewidth of the graph - has seen an enormous rise within the last decade, but a practically fast algorithm for this task has been discovered only recently by Tamaki (ESA…

Data Structures and Algorithms · Computer Science 2019-05-06 Max Bannach , Sebastian Berndt

We investigate an application in the automatic tuning of computer codes, an area of research that has come to prominence alongside the recent rise of distributed scientific processing and heterogeneity in high-performance computing…

Applications · Statistics 2013-04-17 Robert B. Gramacy , Matt Taddy , Stefan M. Wild

To tackle the difficulties faced by both stochastic dynamic programming and scenario tree methods, we present some variational approach for numerical solution of stochastic optimal control problems. We consider two different interpretations…

Optimization and Control · Mathematics 2009-07-28 Pierre Carpentier , Guy Cohen , Anes Dallagi

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

Machine Learning · Computer Science 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

We introduce the concept of derivate-based component-trees for images with an arbitrary number of channels. The approach is a natural extension of the classical component-tree devoted to gray-scale images. The similar structure enables the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-20 Tobias Böttger , Dominik Gutermuth

We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a ``semi-duality'' between minimum cuts and maximum spanning tree packings combined with our previously developed random sampling…

Data Structures and Algorithms · Computer Science 2007-05-23 David R. Karger

Treemaps have been widely applied to the visualization of hierarchical data. A treemap takes a weighted tree and visualizes its leaves in a nested planar geometric shape, with sub-regions partitioned such that each sub-region has an area…

Graphics · Computer Science 2023-09-01 Mehdi Behroozi , Reyhaneh Mohammadi , Cody Dunne

Automated model discovery is the process of automatically searching and identifying the most appropriate model for a given dataset over a large combinatorial search space. Existing approaches, however, often face challenges in balancing the…

Artificial Intelligence · Computer Science 2025-10-01 Lee Jung-Mok , Nam Hyeon-Woo , Moon Ye-Bin , Junhyun Nam , Tae-Hyun Oh

The Multiobjective Minimum Spanning Tree (MO-MST) problem is a variant of the Minimum Spanning Tree problem, in which the costs associated with every edge of the input graph are vectors. In this paper, we design a new dynamic programming…

Discrete Mathematics · Computer Science 2023-06-29 Pedro Maristany de las Casas , Antonio Sedeño-Noda , Ralf Borndörfer

Planning for multi-robot teams in complex environments is a challenging problem, especially when these teams must coordinate to accomplish a common objective. In general, optimal solutions to these planning problems are computationally…

Robotics · Computer Science 2024-03-07 Cora A. Dimmig , Kevin C. Wolfe , Joseph Moore

We adapt multilevel, force-directed graph layout techniques to visualizing dynamic graphs in which vertices and edges are added and removed in an online fashion (i.e., unpredictably). We maintain multiple levels of coarseness using a…

Graphics · Computer Science 2007-12-11 Todd L. Veldhuizen

Many discrete optimization problems amount to selecting a feasible set of edges of least weight. We consider in this paper the context of spatial graphs where the positions of the vertices are uncertain and belong to known uncertainty sets.…

Data Structures and Algorithms · Computer Science 2022-09-27 Marin Bougeret , Jérémy Omer , Michael Poss

When modeling an application of practical relevance as an instance of a combinatorial problem X, we are often interested not merely in finding one optimal solution for that instance, but in finding a sufficiently diverse collection of good…

Data Structures and Algorithms · Computer Science 2026-02-19 Julien Baste , Michael R. Fellows , Lars Jaffke , Tomáš Masařík , Mateus de Oliveira Oliveira , Geevarghese Philip , Frances A. Rosamond