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A visual introduction to three algorithms that find crowded regions, separate groups, and leave isolated points unassigned.
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How a Gaussian mixture model finds overlapping groups, estimates membership probabilities, and improves its guesses step by step.
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Short description of portfolio item number 1
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Short description of portfolio item number 2 
Published in MNRAS, 2023
Investigation about the tight couplings between dark matter and baryonic matter on galactic scales: the radial vs. vertical.
Recommended citation: Zhu, Y.; Ma, H.-X. (co-first author); Dong, X.-B.; Huang, Y.; Mistele, T.; Peng, B.; Long, Q.; Wang, T.; Chang, L.; Jin, X.; "How close dark matter haloes and MOND are to each other: three-dimensional tests based on Gaia DR2." 2023, MNRAS, 519, 4479–4498. https://doi.org/10.1093/mnras/stac3483
Published in MNRAS, 2023
Discovery of a 2D Galaxy Manifold which is one of the most efficient representations of galaxies.
Recommended citation: Cooray, S.; Takeuchi, T. T.; Kashino, D.; Yoshida, S. A.; Ma, H.-X.; Kono, K. T.; "Galaxy Manifold: Characterizing and understanding galaxies with two parameters", MNRAS, 2023, 524, 4, 4976 https://ui.adsabs.harvard.edu/abs/2023MNRAS.524.4976C/abstract
Published in MNRAS, 2025
A new density-based clustering algorithm, sOPTICS, which outperforms the traditional Friends-of-Friends (FoF) algorithm in identifying galaxy groups and clusters by incorporating a scaling factor to account for line-of-sight positional uncertainties due to redshift space distortions.
Recommended citation: Ma, H.-X.; Takeuchi, T. T.; Cooray, S.; Zhu, Y.; "sOPTICS: a modified density-based algorithm for identifying galaxy groups/clusters and brightest cluster galaxies." 2025, MNRAS, 537(2), 1504–1517. https://doi.org/10.1093/mnras/staf115
Published in arXiv, 2025
Recommended citation: Dong, X.; Zhu, Y.; Rieke, M.; Rieke, G.; Li, X.; Behroozi, P.; Ma, H.-X.; Meng, R.; Mao, Z.; Sun, Z.; "A Promise for the JWST Era: Massive Black Holes Directly Collapsed from Wave Dark Matter Haloes, and Star Formation in and around Their Accretion Flows." 2025, arXiv preprint, arXiv:2508.09258. https://doi.org/10.48550/arXiv.2508.09258
Published in Physical Review D, 2026
Recommended citation: Takeuchi, T. T.; Ma, H.-X.; Ogane, Y.; "Event-driven formulation of cosmic structure formation via Morse-Cerf theory." 2026, Physical Review D. https://doi.org/10.1103/k2zn-96wd
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This is a description of a teaching experience. You can use markdown like any other post.
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This is a description of a teaching experience. You can use markdown like any other post.
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This is a description of your talk, which is a markdown files that can be all markdown-ified like any other post. Yay markdown!
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This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.