SIGNALAI·Jun 9, 2026, 4:00 AMSignal30Long term

MS-COOT: Comparing Morse-Smale Complexes with Co-Optimal Transport

Source: arXiv cs.LG

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MS-COOT: Comparing Morse-Smale Complexes with Co-Optimal Transport

arXiv:2606.08258v1 Announce Type: cross Abstract: Understanding and comparing structures in scalar fields is a central challenge in scientific visualization, with applications ranging from feature analysis to temporal and structural comparison. The Morse-Smale (MS) complex provides a natural representation by decomposing a scalar field into regions induced by gradient flow. However, existing approaches typically rely on graph-based representations, capturing relationships between critical points while discarding region-level structure. In this work, we represent the MS complex as a hypergraph,

Why this matters
Why now

This research is published as AI and scientific visualization continue to advance, necessitating more sophisticated methods for data analysis and comparison.

Why it’s important

Improved methods for comparing complex data structures could enhance feature analysis and temporal comparisons across various scientific domains, potentially accelerating research and development.

What changes

The proposed 'MS-COOT' method offers a new way to represent and compare Morse-Smale complexes, moving beyond traditional graph-based approaches by utilizing a hypergraph representation.

Winners
  • · Scientific visualization researchers
  • · Data scientists
  • · AI/ML model developers
Losers
    Second-order effects
    Direct

    More precise comparison of scalar field structures in scientific data becomes possible.

    Second

    This could lead to faster insights in fields like materials science, climate modeling, or medical imaging.

    Third

    New tools and software might emerge that leverage hypergraph-based representations for complex data analysis, influencing advanced AI applications.

    Editorial confidence: 85 / 100 · Structural impact: 10 / 100
    Original report

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    Read at arXiv cs.LG
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