Paper

{
  "raw_xml": "<entry>\n    <id>http://arxiv.org/abs/2603.17086v1</id>\n    <title>Topological inference on brain networks with application to lesion symptom mapping</title>\n    <updated>2026-03-17T19:14:56Z</updated>\n    <link href='https://arxiv.org/abs/2603.17086v1' rel='alternate' type='text/html'/>\n    <link href='https://arxiv.org/pdf/2603.17086v1' rel='related' title='pdf' type='application/pdf'/>\n    <summary>Persistent homology (PH) characterizes the shape of brain networks through persistence features. Group comparison of persistence features from brain networks can be challenging as they are inherently heterogeneous. A recent scale-space representation of persistence diagrams (PDs) through heat diffusion reparameterizes them using a finite number of Fourier coefficients with respect to the Laplace--Beltrami (LB) eigenfunction expansion of the domain, providing a powerful vectorized algebraic representation for group comparisons. In this study, we develop a transposition-based permutation test for comparing multiple groups of PDs using heat-diffusion estimates. We evaluate the empirical performance of the spectral transposition test in capturing within- and between-group similarity and dissimilarity under varying levels of topological noise and cycle location variability. In application, we propose a topological lesion symptom mapping (TLSM) method based on the proposed framework. The method is applied to resting-state functional brain networks of individuals with post-stroke aphasia to identify characteristic cycles associated with varying levels of speech-language impairment.</summary>\n    <category scheme='http://arxiv.org/schemas/atom' term='stat.ME'/>\n    <published>2026-03-17T19:14:56Z</published>\n    <arxiv:comment>arXiv admin note: substantial text overlap with arXiv:2311.01625</arxiv:comment>\n    <arxiv:primary_category term='stat.ME'/>\n    <author>\n      <name>Yuan Wang</name>\n    </author>\n    <author>\n      <name>Jian Yin</name>\n    </author>\n    <author>\n      <name>Nicholas Riccardi</name>\n    </author>\n    <author>\n      <name>Drik-Bart Den Ouden</name>\n    </author>\n    <author>\n      <name>Julius Fridriksson</name>\n    </author>\n    <author>\n      <name>Rutvik H. Desai</name>\n    </author>\n  </entry>"
}