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Our ability to grasp and understand complex phenomena is essentially based on recognizing structures and relating these to each other. For example, any meteorological description of a weather condition and explanation of its evolution…

Atmospheric and Oceanic Physics · Physics 2021-12-17 Natalia Mikula , Tom Dörffel , Daniel Baum , Hans-Christian Hege

In this paper we study the fixed-parameter tractability of the problem of deciding whether a given temporal graph admits a temporal walk that visits all vertices (temporal exploration) or, in some problem variants, a certain subset of the…

Data Structures and Algorithms · Computer Science 2022-12-06 Thomas Erlebach , Jakob T. Spooner

Time series classification is an important task in its own right, and it is often a precursor to further downstream analytics. To date, virtually all works in the literature have used either shape-based classification using a distance…

Machine Learning · Computer Science 2019-12-23 Sara Alaee , Alireza Abdoli , Christian Shelton , Amy C. Murillo , Alec C. Gerry , Eamonn Keogh

In temporal-probabilistic (TP) databases, the combination of the temporal and the probabilistic dimension adds significant overhead to the computation of set operations. Although set queries are guaranteed to yield linearly sized output…

Databases · Computer Science 2019-10-02 Katerina Papaioannou , Martin Theobald , Michael H. Böhlen

The advent of high resolution imaging has made data on surface shape widespread. Methods for the analysis of shape based on landmarks are well established but high resolution data require a functional approach. The starting point is a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Stanislav Katina , Liberty Vittert , Adrian W. Bowman

Graphs are widely used for modeling various types of interactions, such as email communications and online discussions. Many of such real-world graphs are temporal, and specifically, they grow over time with new nodes and edges. Counting…

Social and Information Networks · Computer Science 2023-01-04 Deukryeol Yoon , Dongjin Lee , Minyoung Choe , Kijung Shin

Representing a dynamic scene using a structured spatial-temporal scene graph is a novel and particularly challenging task. To tackle this task, it is crucial to learn the temporal interactions between objects in addition to their spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Zhihao Zhu

Self-attention learns pairwise interactions to model long-range dependencies, yielding great improvements for video action recognition. In this paper, we seek a deeper understanding of self-attention for temporal modeling in videos. We…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Bo He , Xitong Yang , Zuxuan Wu , Hao Chen , Ser-Nam Lim , Abhinav Shrivastava

A temporal graph is a graph in which vertices communicate with each other at specific time, e.g., $A$ calls $B$ at 11 a.m. and talks for 7 minutes, which is modeled by an edge from $A$ to $B$ with starting time "11 a.m." and duration "7…

Databases · Computer Science 2016-01-26 Huanhuan Wu , Yuzhen Huang , James Cheng , Jinfeng Li , Yiping Ke

We study geometric data structures for sets of point-based temporal events, answering time-windowed queries, i.e., given a contiguous time interval we answer common geometric queries about the point events with time stamps in this interval.…

Data Structures and Algorithms · Computer Science 2014-09-22 Michael J. Bannister , William E. Devanny , Michael T. Goodrich , Joseph A. Simons , Lowell Trott

Models in the supervised learning framework may capture rich and complex representations over the features that are hard for humans to interpret. Existing methods to explain such models are often specific to architectures and data where the…

Machine Learning · Computer Science 2021-02-25 Akshay Sood , Mark Craven

Quantifying relationships between components of a complex system is critical to understanding the rich network of interactions that characterize the behavior of the system. Traditional methods for detecting pairwise dependence of time…

Data Analysis, Statistics and Probability · Physics 2024-04-10 Aria Nguyen , Oscar McMullin , Joseph T. Lizier , Ben D. Fulcher

A periodic temporal graph, in its simplest form, is a graph in which every edge appears exactly once in the first $\Delta$ time steps, and then it reappears recurrently every $\Delta$ time steps, where $\Delta$ is a given period length.…

Data Structures and Algorithms · Computer Science 2025-04-22 George B. Mertzios , Hendrik Molter , Nils Morawietz , Paul G. Spirakis

The alpha complex is a fundamental data structure from computational geometry, which encodes the topological type of a union of balls $B(x; r) \subset \mathbb{R}^m$ for $x\in S$, including a weighted version that allows for varying radii.…

Algebraic Topology · Mathematics 2023-10-03 Erik Carlsson , John Carlsson

This work presents an introduction to feature-based time-series analysis. The time series as a data type is first described, along with an overview of the interdisciplinary time-series analysis literature. I then summarize the range of…

Machine Learning · Computer Science 2017-10-03 Ben D. Fulcher

We formulate a theory of shape valid for objects of arbitrary dimension whose contours are path connected. We apply this theory to the design and modeling of viable trajectories of complex dynamical systems. Infinite families of…

Numerical Analysis · Mathematics 2021-10-11 Vladimir García-Morales

We present a holistic, topology-based visualization technique for spatial time series data based on an adaptation of Fuzzy Contour Trees. Common analysis approaches for time dependent scalar fields identify and track specific features. To…

Human-Computer Interaction · Computer Science 2021-07-28 Anna-Pia Lohfink , Frederike Gartzky , Florian Wetzels , Luisa Vollmer , Christoph Garth

In a temporal graph, each edge is available at specific points in time. Such an availability point is often represented by a ''temporal edge'' that can be traversed from its tail only at a specific departure time, for arriving in its head…

Data Structures and Algorithms · Computer Science 2023-01-31 Filippo Brunelli , Laurent Viennot

People's visual experiences of the world are easy to carve up and examine along natural language boundaries, e.g., by category labels, attribute labels, etc. However, it is more difficult to elicit detailed visuospatial information about…

Computer Vision and Pattern Recognition · Computer Science 2021-04-15 Yiyuan Yang , Kenneth Li , Fernanda Eliott , Maithilee Kunda

Deep learning models have enjoyed great success for image related computer vision tasks like image classification and object detection. For video related tasks like human action recognition, however, the advancements are not as significant…

Computer Vision and Pattern Recognition · Computer Science 2018-09-12 Xiaolin Song , Cuiling Lan , Wenjun Zeng , Junliang Xing , Jingyu Yang , Xiaoyan Sun