Associate Professor, University of Utah
A key problem in Deep Brain Stimulation (DBS) is determining the optimal parameters for clinical outcome. Current knowledge does not provide a complete deterministic model of DBS neurophysiology. While multiple parameters may influence clinical outcomes in DBS, this paper explores spatial correlation of volume of tissue activated (VTA) to Unified Parkinson’s Disease Rating Scale (UPDRS) scores.
Continue readingIn this position paper, we define three methods — re-evaluation, expansion, and specialization — for embedding a replication study into a novel published work. Within this context, we provide a non-exhaustive case study on replications of Cleveland and McGill’s seminal work on graphical perception.
Continue readingPairing critical points enables forming topological fingerprints, known as persistence diagrams, that provides insights into the structure and noise in data. In this paper, we discuss two algorithmic approaches for pairing critical points in Reeb graphs, first a multipass approach, followed by a new single-pass algorithm, called Propagate and Pair.
Continue readingIn this paper, we leverage the contour tree to extract a hierarchical representation of the topology of an image. We propose 4 topology-aware transfer functions for editing features of the image using local topological properties, instead of global image properties.
Continue readingThis project addresses two important scientific questions: how to effectively use topology to extract features from ensembles; and how to design visualizations for domain experts that efficiently communicate the features. To extract features from an ensemble, the project will investigate new methods of robustly comparing and contrasting the topology of multiple ensemble realizations. Then, it will design new visualization methods for efficiently and effectively comparing and exploring the features and variations within ensembles.
Continue readingThis research paper employs a data-driven, explainable, and scalable approach to the development and application of an online peer review form in computer science and engineering courses.
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This paper introduces and extension to our previous papers to handle anomalies in the point based object slicing method. The anomalies handled are point, line and plane touch cases as well as overlaps.
Continue readingIn this paper, we explore a dimensionality reduction technique that achieves the criterion of homology preservation, a generalized version of topology preservation. Specifically, we use topology-inspired manifold landmarking and manifold tearing to aid such a process and evaluate their effectiveness.
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In this paper, we propose a novel method using persistent homology to quantify structural changes in time-varying graphs. Specifically, we transform each instance of the time-varying graph into a metric space, extract topological features using persistent homology, and compare those features over time. We provide a visualization that assists in time-varying graph exploration and helps to identify patterns of behavior within the data.
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We study the topological construction called Mapper in the context of simply connected domains, in particular on images.
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