Time-Aligned Peaks (TAP): A Tool for Visualising Multi-Series Peak Co-Occurrence
References
- Box GEP, Jenkins GM, Reinsel GC, Ljung GM. Time series analysis: Forecasting and control. 5th ed. Hoboken, NJ: Wiley; 2015. ISBN: 978-1-118-67502-1.
- Seabold S, Perktold J. Statsmodels: Econometric and statistical modeling with Python. Proceedings of the 9th Python in Science Conference; 2010. Available from:
https://www.statsmodels.org/stable/generated/statsmodels.tsa.statespace.sarimax.SARIMAX.html [Accessed on 2026 Jan 13]. - Hiironen M-L, Peltola V, Pitkäkangas V, Toivanen L. Alakohtaiset lyhyet sairauspoissaolot: LYHTY – Lyhyiden työpoissaolojen ennaltaehkäisy -hankkeen loppuraportti. Finland: Centria University of Applied Sciences; 2021. ISBN: 978-952-7173-61-9. Available from:
https://www.theseus.fi/bitstream/handle/10024/703277/978-952-7173-61-9.pdf - Cleveland WS. The elements of graphing data. 2nd ed. Murray Hill, NJ: AT&T Bell Laboratories; 1994. ISBN: 9780963488411.
- Wilkinson L, Wills G. The grammar of graphics. 2nd ed. New York, NY: Springer; 2005. ISBN: 978-0-387-24544-7. DOI: 10.1007/0-387-28695-0
- Tufte ER. The visual display of quantitative information. 2nd ed. Cheshire, CT: Graphics Press; 2001. ISBN: 978-0-96-139214-7.
- Wilke CO. Fundamentals of data visualization. Sebastopol, CA: O’Reilly Media; 2019. Available from:
https://clauswilke.com/dataviz/ [Accessed on 2026 Jan 08]. - Plotly Technologies Inc. Collaborative data science. Montréal, QC: Plotly Technologies Inc. 2015. Available from:
https://plot.ly [Accessed on 2026 Jan 08]. - Bokeh Development Team. Bokeh: Python library for interactive visualization; 2018. Available from:
https://bokeh.pydata.org [Accessed on 2026 Jan 08]. - Heer J, Shneiderman B. Interactive dynamics for visual analysis. Communications of the ACM. 2012; 55(4):45–54. ISSN: 0001-0782. DOI: 10.1145/2133806.2133821
- Braun D, Borgo R, Sondag M, von Landesberger T. Reclaiming the horizon: Novel visualization designs for time-series data with large value ranges. IEEE Transactions on Visualization and Computer Graphics. 2024;30(1):1161–1171. ISSN: 1941-0506. DOI: 10.1109/TVCG.2023.3326576
- Wongsuphasawat K, Moritz D, Anand A, Mackinlay J, Heer J. Voyager: Exploratory analysis via faceted browsing of visualization recommendations. IEEE Transactions on Visualization and Computer Graphics. 2016;22(1):649–658. ISSN: 1941-0506. DOI: 10.1109/TVCG.2015.2467191
- Hofmann H, Vendettuoli M. Common angle plots as perception-true visualizations of categorical associations. IEEE Transactions on Visualization and Computer Graphics. 2013;19(12):2297–2305. ISSN: 1941-0506. DOI: 10.1109/TVCG.2013.140
- Azib M, Renard B, Garnier P, Génot V, André N. Event detection in time series: Universal deep learning approach. arXiv:2311.15654v3 [stat.ML]. Sep. 2024. DOI: 10.31219/osf.io/uabjg
- Hunter JD. Matplotlib: A 2D graphics environment. Computing in Science & Engineering. 2007;9(3):90–95. ISSN: 1558-366X. DOI: 10.1109/MCSE.2007.55
- VanderPlas J, Granger B, Heer J, et al. Altair: Interactive statistical visualizations for Python. Journal of Open Source Software. 2018;3(32):
1057 . ISSN: 2475-9066. DOI: 10.21105/joss.01057 - Satyanarayan A, Moritz D, Wongsuphasawat K, Heer J. Vega-Lite: A grammar of interactive graphics. IEEE Transactions on Visualization and Computer Graphics. 2017;23(1):341–350. ISSN: 1941-0506. DOI: 10.1109/TVCG.2016.2599030
- Waskom ML. seaborn: Statistical data visualization. Journal of Open Source Software. 2021;6(60):
3021 . DOI: 10.21105/joss.03021 - Zhang Y, Di Bartolomeo S, Sheng F, Jimison H, Dunne C. Evaluating alignment approaches in superimposed time-series and temporal event-sequence visualizations. 2019 IEEE Visualization Conference (VIS). Vancouver, BC, Canada,
2019 , pp. 1–5. DOI: 10.1109/VISUAL.2019.8933584 - Sarikaya M, Correll M, Dinis JM, O’Connor DH, Gleicher M. Visualizing co-occurrence of events in populations of viral genome sequences. Eurographics Conference on Visualization (EuroVis) 2016. 2016;35(3). DOI: 10.1111/cgf.12891
- Li J, Chen S, Zhang K, Andrienko G, Andrienko N. COPE: Interactive exploration of co-occurrence patterns in spatial time series. IEEE Transactions on Visualization and Computer Graphics. 2019;25(8):2554–2567. ISSN: 1941-0506. DOI: 10.1109/TVCG.2018.2851227
- Schmidl S, Wenig P, Papenbrock T. Anomaly detection in time series: A comprehensive evaluation. Proceedings of the VLDB Endowment. 2022;15(9):1779–1797. ISSN: 2150-8097. DOI: 10.14778/3538598.3538602
- Ho TKK, Karami A, Armanfard N. Graph anomaly detection in time series: A survey. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2025;47(8):6990–7009. ISSN: 1939-3539. DOI: 10.1109/TPAMI.2025.3566620
- Wang F, Jiang Y, Zhang R, et al. A survey of deep anomaly detection in multivariate time series: Taxonomy, applications, and directions. Sensors. 2025;25(1):
190 . ISSN: 1424-8220. DOI: 10.3390/s25010190 - W3C. Web Content Accessibility Guidelines (WCAG) 2.0. World Wide Web Consortium (W3C); 2008. Available from:
https://www.w3.org/TR/WCAG20/ [Accessed on 2026 Jan 13]. - Harris CR, Millman KJ, van der Walt S, et al. Array programming with NumPy. Nature. 2020;585(7825):357–362. ISSN: 1476-4687. DOI: 10.1038/s41586-020-2649-2
- The pandas development team. 2024. pandas-dev/pandas: Pandas (v2.2.3). Zenodo. DOI: 10.5281/zenodo.13819579
- McKinney W. Data structures for statistical computing in Python. Proceedings of the 9th Python in Science Conference;
2010 . pp. 56–61. DOI: 10.25080/Majora-92bf1922-00a - Jaccard P. Étude comparative de la distribution florale dans une portion des Alpes et des Jura. Bulletin de la Société Vaudoise des Sciences Naturelles. 1901;37:547–579.
- Virtanen P, Gommers R, Oliphant TE, et al. SciPy 1.0: Fundamental algorithms for scientific computing in Python. Nature Methods. 2020;17:261–272. ISSN: 1548-7105. DOI: 10.1038/s41592-019-0686-2
- Pedregosa F, Varoquaux G, Gramfort A, et al. Scikit-learn: Machine learning in Python. Journal of Machine Learning Research. 2011;12(85):2825–2830. ISSN: 1533-7928.
DOI: https://doi.org/10.5334/jors.681 | Journal eISSN: 2049-9647
Language: English
Page range: 39 - 39
Submitted on: Jan 22, 2026
Accepted on: May 12, 2026
Published on: May 26, 2026
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
© 2026 Ville Pitkäkangas, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.