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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2601.01450 |
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| _version_ | 1866912801667153920 |
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| author | Mittal, Saurav |
| author_facet | Mittal, Saurav |
| contents | We present a topology-informed approach for classifying particle jets using persistent homology, a framework that captures the structural properties of point clouds. Particle jets produced in proton-proton collisions consist of cascades of particles originating from a common hard interaction. Each jet constituent is represented as a point in a three-dimensional feature space defined by the relative transverse momentum and angular coordinates with respect to the jet axis, yielding a point cloud description of each jet. Persistent homology is computed using a Vietoris-Rips filtration to obtain persistence diagrams, which are subsequently converted into persistence images for the H0 and H1 homology groups, corresponding to connected components and loop-like structures, respectively. These persistence images are used as inputs to a convolutional neural network for quark-gluon jet classification. Using the publicly available HLS4ML jet dataset, we find that persistence images derived from H0 and H1 individually exhibit comparable discriminative power. These results demonstrate that loop-like topological features, which are not conventionally exploited in jet tagging, encode meaningful information about jet substructure and provide a promising direction for topology-informed jet classification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01450 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topology-Informed Jet Tagging using Persistent Homology Mittal, Saurav High Energy Physics - Phenomenology We present a topology-informed approach for classifying particle jets using persistent homology, a framework that captures the structural properties of point clouds. Particle jets produced in proton-proton collisions consist of cascades of particles originating from a common hard interaction. Each jet constituent is represented as a point in a three-dimensional feature space defined by the relative transverse momentum and angular coordinates with respect to the jet axis, yielding a point cloud description of each jet. Persistent homology is computed using a Vietoris-Rips filtration to obtain persistence diagrams, which are subsequently converted into persistence images for the H0 and H1 homology groups, corresponding to connected components and loop-like structures, respectively. These persistence images are used as inputs to a convolutional neural network for quark-gluon jet classification. Using the publicly available HLS4ML jet dataset, we find that persistence images derived from H0 and H1 individually exhibit comparable discriminative power. These results demonstrate that loop-like topological features, which are not conventionally exploited in jet tagging, encode meaningful information about jet substructure and provide a promising direction for topology-informed jet classification. |
| title | Topology-Informed Jet Tagging using Persistent Homology |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.01450 |