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This paper addresses the critical challenge of visualizing outputs from Topological Data Analysis (TDA), specifically Zigzag Persistent Homology, within learning management systems where interpretation norms are still evolving. By proposing design principles that separate objective metrics from contextual interpretation and explicitly acknowledging methodological uncertainty, the work offers a framework for trustworthy analytics in emerging computational domains. The research bridges advanced mathematical modeling with human-computer interaction to ensure users can navigate complex, non-standard analytical results effectively.
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Designing for Interpretation Uncertainty: Architecture and Principles for Topological Learning Analytics Dashboards

arXiv2 min read

arXiv:2610.01749v1 Announce Type: cross Abstract: Topological Data Analysis (TDA) offers novel methods for understanding temporal dynamics in complex systems, yet its application in information systems design faces a fundamental challenge: how should systems present analytical outputs when interpretation frameworks are still developing? This paper reports on the development of TopoLA, a dashboard system applying Zigzag Persistent Homology to learning management system data, and proposes three early design principles for interpretation support in emerging analytics: (1) separation of objective measurement from contextual interpretation, (2) graduated disclosure from metrics through patterns to reflective prompts, and (3) explicit acknowledgment of methodological uncertainty. The system implements a modular three-stage pipeline--feature extraction, topological computation, and interpretation support--enabling extension to additional analytical methods. This work contributes to information systems research by articulating preliminary design knowledge for systems that must communicate analytical insights from methods lacking established interpretation norms--a challenge increasingly common as novel computational techniques enter applied domains.

Abstract:Topological Data Analysis (TDA) offers novel methods for understanding temporal dynamics in complex systems, yet its application in information systems design faces a fundamental challenge: how should systems present analytical outputs when interpretation frameworks are still developing? This paper reports on the development of TopoLA, a dashboard system applying Zigzag Persistent Homology to learning management system data, and proposes three early design principles for interpretation support in emerging analytics: (1) separation of objective measurement from contextual interpretation, (2) graduated disclosure from metrics through patterns to reflective prompts, and (3) explicit acknowledgment of methodological uncertainty. The system implements a modular three-stage pipeline--feature extraction, topological computation, and interpretation support--enabling extension to additional analytical methods. This work contributes to information systems research by articulating preliminary design knowledge for systems that must communicate analytical insights from methods lacking established interpretation norms--a challenge increasingly common as novel computational techniques enter applied domains.

Computers and Society (cs.CY); Human-Computer Interaction (cs.HC); Machine Learning (cs.LG)

arXiv:2610.01749 [cs.CY]

(or arXiv:2610.01749v1 [cs.CY] for this version)

https://doi.org/10.48550/arXiv.2610.01749 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

Proceedings of the IADIS International Conference Information Systems 2026, pp. 506-510, IADIS, 2026

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Full text under the publisher's open licence · 261 words

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