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The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

A labeling scheme for nearest common ancestors assigns a distinct binary string, called the label, to every node of a tree, so that given the labels of two nodes (and no further information about the topology of the tree) we can compute the…

Data Structures and Algorithms · Computer Science 2017-07-20 Paweł Gawrychowski , Jakub Łopuszański

Graph alignment in two correlated random graphs refers to the task of identifying the correspondence between vertex sets of the graphs. Recent results have characterized the exact information-theoretic threshold for graph alignment in…

Data Structures and Algorithms · Computer Science 2019-09-04 Osman Emre Dai , Daniel Cullina , Negar Kiyavash , Matthias Grossglauser

In this paper we introduce a new model of data packet transport, based on a stochastic approach with the aim of characterizing the load distribution on complex networks. Moreover we analyze the load standard deviation as an index of…

Statistical Mechanics · Physics 2007-05-23 M. di Bernardo , F. Garofalo , S. Manfredi , F. Sorrentino

Local thresholding algorithms were first presented more than a decade ago and have since been applied to a variety of data mining tasks in peer-to-peer systems, wireless sensor networks, and in grid systems. One critical assumption made by…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-09 Ran Wolff

Network embedding is a highly effective method to learn low-dimensional node vector representations with original network structures being well preserved. However, existing network embedding algorithms are mostly developed for a single…

Social and Information Networks · Computer Science 2021-05-06 Xiao Shen , Quanyu Dai , Sitong Mao , Fu-lai Chung , Kup-Sze Choi

Clustering trajectory data attracted considerable attention in the last few years. Most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying road network…

Machine Learning · Computer Science 2013-10-22 Mohamed Khalil El Mahrsi , Fabrice Rossi

Modern, inherently dynamic systems are usually characterized by a network structure, i.e. an underlying graph topology, which is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph can be represented…

Computational Complexity · Computer Science 2019-08-13 Eleni C. Akrida , George B. Mertzios , Paul G. Spirakis , Viktor Zamaraev

Missing value problem in spatiotemporal traffic data has long been a challenging topic, in particular for large-scale and high-dimensional data with complex missing mechanisms and diverse degrees of missingness. Recent studies based on…

Machine Learning · Statistics 2021-06-15 Xinyu Chen , Yixian Chen , Nicolas Saunier , Lijun Sun

A main goal in the analysis of a complex system is to infer its underlying network structure from time-series observations of its behaviour. The inference process is often done by using bi-variate similarity measures, such as the…

Disordered Systems and Neural Networks · Physics 2019-09-06 Rodrigo A. García , Arturo C. Martí , Cecilia Cabeza , Nicolás Rubido

We apply the network Lasso to classify partially labeled data points which are characterized by high-dimensional feature vectors. In order to learn an accurate classifier from limited amounts of labeled data, we borrow statistical strength,…

Machine Learning · Computer Science 2019-03-27 Nguyen Tran , Henrik Ambos , Alexander Jung

Minimum Label Cut (or Hedge Connectivity) problem is defined as follows: given an undirected graph $G=(V, E)$ with $n$ vertices and $m$ edges, in which, each edge is labeled (with one or multiple labels) from a label set $L=\{\ell_1,\ell_2,…

Data Structures and Algorithms · Computer Science 2019-08-21 Rupei Xu , András Faragó

The physical design process of large-scale designs is a time-consuming task, often requiring hours to days to complete, with routing being the most critical and complex step. As the the complexity of Integrated Circuits (ICs) increases,…

Machine Learning · Computer Science 2023-08-02 Biao Liu , Congyu Qiao , Ning Xu , Xin Geng , Ziran Zhu , Jun Yang

Recently Watts and Strogatz have given an interesting model of small-world networks. Here we concretise the concept of a ``far away'' connection in a network by defining a {\it far edge}. Our definition is algorithmic and independent of…

chao-dyn · Physics 2009-10-31 S. A. Pandit , R. E. Amritkar

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

Cross-graph Relational Learning (CGRL) refers to the problem of predicting the strengths or labels of multi-relational tuples of heterogeneous object types, through the joint inference over multiple graphs which specify the internal…

Machine Learning · Computer Science 2016-05-09 Hanxiao Liu , Yiming Yang

The parity of the length of paths and cycles is a classical and well-studied topic in graph theory and theoretical computer science. The parity constraints can be extended to label constraints in a group-labeled graph, which is a directed…

Combinatorics · Mathematics 2019-04-16 Yasushi Kawase , Yusuke Kobayashi , Yutaro Yamaguchi

We apply the network Lasso to solve binary classification and clustering problems for network-structured data. To this end, we generalize ordinary logistic regression to non-Euclidean data with an intrinsic network structure. The resulting…

Machine Learning · Computer Science 2018-08-15 Henrik Ambos , Nguyen Tran , Alexander Jung

Few-shot learning amounts to learning representations and acquiring knowledge such that novel tasks may be solved with both supervision and data being limited. Improved performance is possible by transductive inference, where the entire…

Machine Learning · Computer Science 2023-03-29 Michalis Lazarou , Tania Stathaki , Yannis Avrithis

The vast amount of data and increase of computational capacity have allowed the analysis of texts from several perspectives, including the representation of texts as complex networks. Nodes of the network represent the words, and edges…

Computation and Language · Computer Science 2017-11-09 Vanessa Q. Marinho , Graeme Hirst , Diego R. Amancio