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Found 4 papers, 3 papers with code
Topological Data Analysis of Task-Based fMRI Data from Experiments on Schizophrenia
With these tools, which allow one to characterize topological invariants such as loops in high-dimensional data, we are able to gain understanding into low-dimensional structures in networks in a way that complements traditional approaches that are based on pairwise interactions.
Geometric anomaly detection in data
This paper describes the systematic application of local topological methods for detecting interfaces and related anomalies in complicated high-dimensional data.
Algebraic Topology Algebraic Geometry 57N80
Multiscale Topology Characterises Dynamic Tumour Vascular Networks
Advances in imaging techniques enable high resolution 3D visualisation of vascular networks over time and reveal abnormal structural features such as twists and loops, and their quantification is an active area of research.
Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis
Here we simulate the Anderson-Chaplain model of angiogenesis at different parameter values and quantify the vessel architectures of the resulting synthetic data.
