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The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

Data Structures and Algorithms · Computer Science 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

Machine Learning · Computer Science 2013-01-18 Amos J. Storkey

Distance labeling schemes are schemes that label the vertices of a graph with short labels in such a way that the distance between any two vertices $u$ and $v$ can be determined efficiently by merely inspecting the labels of $u$ and $v$,…

Discrete Mathematics · Computer Science 2020-07-07 Victor Chepoi , Arnaud Labourel , Sebastien Ratel

Recently, numerous handcrafted and searched networks have been applied for semantic segmentation. However, previous works intend to handle inputs with various scales in pre-defined static architectures, such as FCN, U-Net, and DeepLab…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Yanwei Li , Lin Song , Yukang Chen , Zeming Li , Xiangyu Zhang , Xingang Wang , Jian Sun

We present an approach for mobile robots to recognize scenes in object arrangements distributed across cluttered environments. Recognition is enabled by intertwining the robot's search for objects and the assignment of found objects to…

Robotics · Computer Science 2023-11-27 Pascal Meißner , Rüdiger Dillmann

The labeling of point features on a map is a well-studied topic. In a static setting, the goal is to find a non-overlapping label placement for (a subset of) point features. In a dynamic setting, the set of point features and their…

Computational Geometry · Computer Science 2026-03-02 Thomas Depian , Guangping Li , Martin Nöllenburg , Jules Wulms

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

Methodology · Statistics 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Visualizing spatial data on small-screen devices such as smartphones and smartwatches poses new challenges in computational cartography. The current interfaces for map exploration require their users to zoom in and out frequently. Indeed,…

Data Structures and Algorithms · Computer Science 2020-09-01 Sven Gedicke , Annika Bonerath , Benjamin Niedermann , Jan-Henrik Haunert

Multi-label classification is a challenging task, particularly in domains where the number of labels to be predicted is large. Deep neural networks are often effective at multi-label classification of images and textual data. When dealing…

Machine Learning · Computer Science 2023-03-30 Nikolaos Mylonas , Ioannis Mollas , Nick Bassiliades , Grigorios Tsoumakas

Dynamic programming on various graph decompositions is one of the most fundamental techniques used in parameterized complexity. Unfortunately, even if we consider concepts as simple as path or tree decompositions, such dynamic programming…

The \emph{$f$-fault-tolerant connectivity labeling} ($f$-FTC labeling) is a scheme of assigning each vertex and edge with a small-size label such that one can determine the connectivity of two vertices $s$ and $t$ under the presence of at…

Data Structures and Algorithms · Computer Science 2023-11-17 Taisuke Izumi , Yuval Emek , Tadashi Wadayama , Toshimitsu Masuzawa

Traditional text classifiers are limited to predicting over a fixed set of labels. However, in many real-world applications the label set is frequently changing. For example, in intent classification, new intents may be added over time…

Machine Learning · Computer Science 2019-11-05 Jeremy Wohlwend , Ethan R. Elenberg , Samuel Altschul , Shawn Henry , Tao Lei

In this study, we address the complex issue of graph clustering in signed graphs, which are characterized by positive and negative weighted edges representing attraction and repulsion among nodes, respectively. The primary objective is to…

Data Structures and Algorithms · Computer Science 2024-07-10 Felix Hausberger , Marcelo Fonseca Faraj , Christian Schulz

In this paper, we consider tree decompositions, branch decompositions, and clique decompositions. We improve the running time of dynamic programming algorithms on these graph decompositions for a large number of problems as a function of…

Data Structures and Algorithms · Computer Science 2018-06-06 Johan M. M. van Rooij , Hans L. Bodlaender , Erik Jan van Leeuwen , Peter Rossmanith , Martin Vatshelle

Label propagation has proven to be a fast method for detecting communities in complex networks. Recent work has also improved the accuracy and stability of the basic algorithm, however, a general approach is still an open issue. We propose…

Physics and Society · Physics 2013-04-03 Lovro Šubelj , Marko Bajec

The task of determining labels of all network nodes based on the knowledge about network structure and labels of some training subset of nodes is called the within-network classification. It may happen that none of the labels of the nodes…

Machine Learning · Statistics 2015-10-06 Tomasz Kajdanowicz , Radosław Michalski , Katarzyna Musiał , Przemysław Kazienko

Designing well-connected graphs is a fundamental problem that frequently arises in various contexts across science and engineering. The weighted number of spanning trees, as a connectivity measure, emerges in numerous problems and plays a…

Data Structures and Algorithms · Computer Science 2016-04-13 Kasra Khosoussi , Gaurav S. Sukhatme , Shoudong Huang , Gamini Dissanayake

We consider the following problem of labeling points in a dynamic map that allows rotation. We are given a set of points in the plane labeled by a set of mutually disjoint labels, where each label is an axis-aligned rectangle attached with…

Computational Geometry · Computer Science 2014-04-08 Andreas Gemsa , Martin Nöllenburg , Ignaz Rutter

Let G be a graph with vertex set {1,...,n}. A spanning forest F of G is increasing if the sequence of labels on any path starting at the minimum vertex of a tree of F form an increasing sequence. Hallam and Sagan showed that the generating…

Combinatorics · Mathematics 2016-10-18 Joshua Hallam , Jeremy L. Martin , Bruce E. Sagan

We consider the problem of assigning short labels to the vertices and edges of a graph $G$ so that given any query $\langle s,t,F\rangle$ with $|F|\leq f$, we can determine whether $s$ and $t$ are still connected in $G-F$, given only the…

Data Structures and Algorithms · Computer Science 2024-10-25 Yaowei Long , Seth Pettie , Thatchaphol Saranurak