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This work presents a framework for studying temporal networks using zigzag persistence, a tool from the field of Topological Data Analysis (TDA). The resulting approach is general and applicable to a wide variety of time-varying graphs. For…

Computational Geometry · Computer Science 2023-08-15 Audun Myers , David Muñoz , Firas Khasawneh , Elizabeth Munch

Edges in real-world graphs are typically formed by a variety of factors and carry diverse relation semantics. For example, connections in a social network could indicate friendship, being colleagues, or living in the same neighborhood.…

Social and Information Networks · Computer Science 2022-02-24 Tianxiang Zhao , Xiang Zhang , Suhang Wang

Seizure detection from EEGs is a challenging and time consuming clinical problem that would benefit from the development of automated algorithms. EEGs can be viewed as structural time series, because they are multivariate time series where…

Machine Learning · Computer Science 2019-05-07 Ian Covert , Balu Krishnan , Imad Najm , Jiening Zhan , Matthew Shore , John Hixson , Ming Jack Po

Network embedding is a very important method for network data. However, most of the algorithms can only deal with static networks. In this paper, we propose an algorithm Recurrent Neural Network Embedding (RNNE) to deal with dynamic…

Machine Learning · Computer Science 2020-07-01 Haiwei Huang , Jinlong Li , Huimin He , Huanhuan Chen

Network embedding is an effective method to learn low-dimensional representations of nodes, which can be applied to various real-life applications such as visualization, node classification, and link prediction. Although significant…

Machine Learning · Computer Science 2020-03-31 Shixun Huang , Zhifeng Bao , Guoliang Li , Yanghao Zhou , J. Shane Culpepper

Community search, retrieving the cohesive subgraph which contains the query vertex, has been widely touched over the past decades. The existing studies on community search mainly focus on static networks. However, real-world networks…

Social and Information Networks · Computer Science 2022-06-15 Yifei Zhang , Longlong Lin , Pingpeng Yuan , Hai Jin

We introduce the TemporallyEdgeDisjointScheduleCompletion (TEDSC) problem in which we need to cover a set of temporal edge demands $D$ by routing $k$ temporal walks through a directed static graph while remaining temporally edge disjoint.…

Data Structures and Algorithms · Computer Science 2026-05-07 Michelle Döring , Niklas Mohrin , George Skretas

In this paper we study the problem of discovering a timeline of events in a temporal network. We model events as dense subgraphs that occur within intervals of network activity. We formulate the event-discovery task as an optimization…

Social and Information Networks · Computer Science 2018-09-17 Polina Rozenshtein , Francesco Bonchi , Aristides Gionis , Mauro Sozio , Nikolaj Tatti

We introduce a framework for the modeling of sequential data capturing pathways of varying lengths observed in a network. Such data are important, e.g., when studying click streams in information networks, travel patterns in transportation…

Social and Information Networks · Computer Science 2017-11-20 Ingo Scholtes

Graphs or networks are a very convenient way to represent data with lots of interaction. Recently, Machine Learning on Graph data has gained a lot of traction. In particular, vertex classification and missing edge detection have very…

Machine Learning · Computer Science 2020-09-07 Simon Brandeis , Adrian Jarret , Pierre Sevestre

Investigating the frequency and distribution of small subgraphs with a few nodes/edges, i.e., motifs, is an effective analysis method for static networks. Motif-driven analysis is also useful for temporal networks where the spectrum of…

Social and Information Networks · Computer Science 2021-05-04 Penghang Liu , Valerio Guarrasi , A. Erdem Sarıyüce

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

Physics and Society · Physics 2021-03-26 Petter Holme , Jari Saramäki

Short-term demand forecasting models commonly combine convolutional and recurrent layers to extract complex spatiotemporal patterns in data. Long-term histories are also used to consider periodicity and seasonality patterns as time series…

Machine Learning · Computer Science 2019-10-15 Doyup Lee , Suehun Jung , Yeongjae Cheon , Dongil Kim , Seungil You

As the Internet AS-level topology grows over time, some of its structural properties remain unchanged. Such time- invariant properties are generally interesting, because they tend to reflect some fundamental processes or constraints behind…

Social and Information Networks · Computer Science 2015-08-14 Chiara Orsini , Enrico Gregori , Luciano Lenzini , Dmitri Krioukov

We provide a deterministic algorithm for computing the $5$-edge-connected components of an undirected multigraph in linear time. There were probably good indications that this computation can be performed in linear time, but no such…

Data Structures and Algorithms · Computer Science 2023-11-09 Evangelos Kosinas

The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. For many complex systems, however, it is useful to develop continuous-time models of…

Social and Information Networks · Computer Science 2021-02-10 Xinzhe Zuo , Mason A Porter

We introduce a new network statistic that measures diverse structural properties at the micro-, meso-, and macroscopic scales, while still being easy to compute and easy to interpret at a glance. Our statistic, the onion spectrum, is based…

Physics and Society · Physics 2017-03-07 Laurent Hébert-Dufresne , Joshua A. Grochow , Antoine Allard

In temporal ordered clustering, given a single snapshot of a dynamic network in which nodes arrive at distinct time instants, we aim at partitioning its nodes into $K$ ordered clusters $\mathcal{C}_1 \prec \cdots \prec \mathcal{C}_K$ such…

Social and Information Networks · Computer Science 2020-08-10 Krzysztof Turowski , Jithin K. Sreedharan , Wojciech Szpankowski

With numerous distributed energy resources (DERs) integrated into the distribution networks (DNs), the coordinated economic dispatch (C-ED) is essential for the integrated transmission and distribution grids. For large scale power grids,…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Qi Wang , Wenchuan Wu , Chenhui Lin , Bin Wang