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We present a new method of analysis of measure-preserving dynamical systems, based on frequency analysis and ergodic theory, which extends our earlier work [1]. Our method employs the novel concept of harmonic time average [2], and is…

混沌动力学 · 物理学 2014-07-29 Zoran Levnajić , Igor Mezić

Periodic phenomena are oscillating signals found in many naturally-occurring time series. A periodogram can be used to measure the intensities of oscillations at different frequencies over an entire time series but sometimes we are…

计算机与社会 · 计算机科学 2023-02-21 Alan F. Smeaton , Feiyan Hu

The overview-driven visual analysis of large-scale dynamic graphs poses a major challenge. We propose Multiscale Snapshots, a visual analytics approach to analyze temporal summaries of dynamic graphs at multiple temporal scales. First, we…

人机交互 · 计算机科学 2020-09-17 Eren Cakmak , Udo Schlegel , Dominik Jäckle , Daniel Keim , Tobias Schreck

Relative clinical benefits are often visually explored and formally analysed through a (cumulative) meta-analysis. In this manuscript, we introduce and further explore the moving average meta-analysis to aid towards the exploration and…

统计方法学 · 统计学 2024-05-02 Konstantinos Pateras , Suhail A. R. Doi , Kit CB Roes , Polychronis Kostoulas

What can we learn about a scene by watching it for months or years? A video recorded over a long timespan will depict interesting phenomena at multiple timescales, but identifying and viewing them presents a challenge. The video is too long…

计算机视觉与模式识别 · 计算机科学 2023-05-02 Melissa E. Swift , Wyatt Ayers , Sophie Pallanck , Scott Wehrwein

We introduce the idea of temporal graphs, a representation that encodes temporal data into graphs while fully retaining the temporal information of the original data. This representation lets us explore the dynamic temporal properties of…

物理与社会 · 物理学 2013-06-06 Vassilis Kostakos

Time series data are prevalent across various domains and often encompass large datasets containing multiple time-dependent features in each sample. Exploring time-varying data is critical for data science practitioners aiming to understand…

图形学 · 计算机科学 2025-09-26 Evandro S. Ortigossa , Fábio F. Dias , Diego C. Nascimento , Luis Gustavo Nonato

Topological data analysis is an emerging area in exploratory data analysis and data mining. Its main tool, persistent homology, has become a popular technique to study the structure of complex, high-dimensional data. In this paper, we…

图形学 · 计算机科学 2017-10-04 Mustafa Hajij , Bei Wang , Carlos Scheidegger , Paul Rosen

Periodic and semi periodic patterns are very common in nature. In this paper we introduce a topological toolbox aiming in detecting and quantifying periodicity. The presented technique is of a general nature and may be employed wherever…

代数拓扑 · 数学 2019-05-30 Paweł Dłotko , Wanling Qiu , Simon Rudkin

We apply persistent homology to the task of discovering and characterizing phase transitions, using lattice spin models from statistical physics for working examples. Persistence images provide a useful representation of the homological…

统计力学 · 物理学 2020-12-03 Alex Cole , Gregory J. Loges , Gary Shiu

Temporal event data are collected across a broad range of domains, and a variety of visual analytics techniques have been developed to empower analysts working with this form of data. These techniques generally display aggregate statistics…

人机交互 · 计算机科学 2019-11-13 David Gotz , Jonathan Zhang , Wenyuan Wang , Joshua Shrestha , David Borland

The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often insufficient to describe such processes, there…

医学物理 · 物理学 2007-05-23 N. Marwan , N. Wessel , U. Meyerfeldt , A. Schirdewan , J. Kurths

This paper describes the design of a dashboard and analysis pipeline to monitor users of visualization tools in the wild. Our pipeline describes how to extract analytical KPIs from extensive log event data involving a mix of user types. The…

人机交互 · 计算机科学 2023-10-23 Jinrui Wang , Mashael AlKadi , Benjamin Bach

We introduce a new technique for the efficient management of large sequences of multidimensional data, which takes advantage of regularities that arise in real-world datasets and supports different types of aggregation queries. More…

数据结构与算法 · 计算机科学 2018-03-08 Nieves R. Brisaboa , Guillermo de Bernardo , Gonzalo Navarro , Tirso V. Rodeiro , Diego Seco

Multivariate time series analysis is a vital but challenging task, with multidisciplinary applicability, tackling the characterization of multiple interconnected variables over time and their dependencies. Traditional methodologies often…

社会与信息网络 · 计算机科学 2026-02-03 Vanessa Freitas Silva , Maria Eduarda Silva , Pedro Ribeiro , Fernando Silva

Event sequence data record series of discrete events in the time order of occurrence. They are commonly observed in a variety of applications ranging from electronic health records to network logs, with the characteristics of large-scale,…

人机交互 · 计算机科学 2020-06-26 Yi Guo , Shunan Guo , Zhuochen Jin , Smiti Kaul , David Gotz , Nan Cao

Rapidly growing data sizes of scientific simulations pose significant challenges for interactive visualization and analysis techniques. In this work, we propose a compact probabilistic representation to interactively visualize large…

图形学 · 计算机科学 2020-10-16 Tobias Rapp , Christoph Peters , Carsten Dachsbacher

We present a new visualization method to summarize and present periodic population movement between distinct locations, such as floors, buildings, cities, or the like. In the specific case of this paper, we have chosen to focus on student…

信息检索 · 计算机科学 2007-05-23 Alexander Haubold

Presenting long sequences of dynamic graphs remains challenging due to the underlying large-scale and high-dimensional data. We propose dg2pix, a novel pixel-based visualization technique, to visually explore temporal and structural…

人机交互 · 计算机科学 2020-09-17 Eren Cakmak , Dominik Jäckle , Tobias Schreck , Daniel Keim

This paper describes the method of visualization of periodic constituents and instability areas in series of measurements, being based on the algorithm of smoothing out and concept of one-dimensional cellular automata. A method can be used…

机器学习 · 计算机科学 2012-05-28 D. V. Lande
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