Recognition: unknown
Training a neural network to rapidly identify candidate gravitational-wave events in the lower mass gap
Pith reviewed 2026-05-09 19:05 UTC · model grok-4.3
The pith
A neural network trained on gravitational-wave signals can rapidly estimate the chance a candidate merger involves a neutron star or a component in the lower mass gap.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The neural network GWSkyNet-MassGap simultaneously predicts the probability that a candidate gravitational-wave merger has a component in the lower mass gap and the probability that it involves a neutron star. It does so by inferring information from the source chirp mass, which produces correct classifications for mergers with chirp masses above about 15 solar masses but less reliable results for lower-mass systems that require the binary mass ratio to resolve the degeneracy. On the first part of LVK's O4 observing run the model shows a mean prediction error of 9 percent for the mass-gap probability and 6 percent for the neutron-star probability.
What carries the argument
The neural network GWSkyNet-MassGap, which takes candidate gravitational-wave event parameters and outputs two probabilities by learning patterns linked to chirp mass.
If this is right
- High-mass mergers can be classified quickly enough to decide on electromagnetic follow-up before the signal fades.
- Lower-mass candidates will still need additional information such as mass ratio to reach the same accuracy.
- The same architecture could be retrained to output an explicit chirp-mass estimate rather than only probabilities.
- Real-time use in future observing runs would reduce the volume of alerts that require full parameter estimation.
- Repeated application across many events could help map the actual population inside the lower mass gap.
Where Pith is reading between the lines
- Pairing the model with existing low-latency pipelines could create a two-stage filter that first screens for mass-gap candidates and then triggers detailed analysis only on promising ones.
- If the chirp-mass inference remains robust across detector networks, the approach might generalize to other classification tasks such as distinguishing binary neutron-star from neutron-star-black-hole mergers.
- Extending the input features beyond chirp mass alone could test whether the current performance gap for low-mass systems is fundamental or simply a matter of missing information.
- Public release of the model weights would let other teams test it on simulated populations with varying mass-gap assumptions and measure how sensitive the outputs are to the training distribution.
Load-bearing premise
The network will generalize from its training examples to new real-world gravitational-wave observations without large errors from overfitting or changes in the data distribution.
What would settle it
Run the trained model on a new set of confirmed gravitational-wave events with independently measured component masses and check whether the predicted probabilities match the actual presence or absence of a mass-gap object or neutron star within the stated error bars.
Figures
read the original abstract
The physics governing the boundary between the most massive neutron stars (NSs) and the least massive black holes (BHs) is currently uncertain, but could potentially be constrained with new observations. While NSs have been observed with masses up to $\sim2~M_{\odot}$, there is a dearth of electromagnetic observations of compact objects in the $\sim2-5~M_{\odot}$ range, known as the lower mass gap. Recent observations of gravitational-wave (GW) signals from binary mergers detected by the LIGO-Virgo-KAGRA (LVK) collaboration indicate that this gap is likely not empty. Rapidly distinguishing whether a candidate GW event has components in this purported mass gap can indicate the likelihood of a detectable electromagnetic counterpart, and thus inform decisions for follow-up observations. In this work we train a neural network model, GWSkyNet-MassGap, that simultaneously predicts the probability that a candidate merger has a component in the lower mass gap ($P_{\mathrm{MassGap}}$) and the probability that it involves a NS ($P_{\mathrm{NS}}$). We find that the model is able to infer information about the source chirp mass to predict $P_{\mathrm{MassGap}}$ and $P_{\mathrm{NS}}$, leading to correct predictions for high-mass mergers with $\mathcal{M}_c\gtrsim15~M_{\odot}$, but less accurate predictions for lower-mass systems which require knowledge of the binary mass ratio to break the mass degeneracy. For candidate events in the first part of LVK's fourth observing run (O4a), the model has a mean prediction error of 9% for $P_{\mathrm{MassGap}}$ and 6% for $P_{\mathrm{NS}}$. The model could be further developed to rapidly predict the source chirp mass for candidate events in future observing runs.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper trains a neural network called GWSkyNet-MassGap to simultaneously predict the probability that a gravitational-wave candidate has a component in the lower mass gap (P_MassGap) and the probability that it involves a neutron star (P_NS). The model is reported to infer source chirp mass information, yielding correct predictions for high-mass mergers with M_c ≳15 M_⊙ but less accurate results for lower-mass systems due to mass-ratio degeneracy. On O4a candidates, aggregate mean prediction errors are stated as 9% for P_MassGap and 6% for P_NS. The work suggests the model could be extended to predict chirp mass directly.
Significance. If validated with complete methodological details and stratified performance metrics, this approach could offer a practical tool for rapid triage of GW candidates to prioritize electromagnetic follow-up, which is valuable for multi-messenger astronomy. The explicit recognition of the chirp-mass limitation and mass-ratio degeneracy shows physical insight. Strengths include the focus on actionable probabilities for real-time LVK operations rather than full parameter estimation.
major comments (2)
- [Abstract] Abstract: The reported mean prediction errors (9% for P_MassGap, 6% for P_NS) on O4a events are aggregate statistics with no stratification by chirp mass, true P_MassGap value, or mass regime. The text states that predictions are less accurate for lower-mass systems (which require mass-ratio information to resolve degeneracy), yet the means may be dominated by high-M_c events where P_MassGap is near zero by construction. Without binned or conditional error metrics, the numbers do not demonstrate that the model adds actionable information precisely for the mass-gap identification task that motivates the work.
- [Abstract] Abstract and model description: No information is supplied on training dataset composition (e.g., simulated waveforms, mass distributions, noise realizations), neural network architecture, loss function, training/validation split, cross-validation, or the procedure used to compute the quoted mean prediction errors and their uncertainties. These omissions prevent verification that the reported performance reflects genuine generalization rather than overfitting or distribution shift from training to real O4a data.
minor comments (2)
- [Abstract] Ensure consistent notation for chirp mass (e.g., M_c vs. script M_c) between the abstract and main text.
- [Abstract] The final sentence on extending the model to predict chirp mass is forward-looking but would benefit from a brief statement of how this would be implemented or evaluated.
Simulated Author's Rebuttal
We thank the referee for their constructive and detailed comments, which have helped us identify areas for improvement. We address each major comment below and have revised the manuscript accordingly to strengthen the presentation of our results.
read point-by-point responses
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Referee: [Abstract] Abstract: The reported mean prediction errors (9% for P_MassGap, 6% for P_NS) on O4a events are aggregate statistics with no stratification by chirp mass, true P_MassGap value, or mass regime. The text states that predictions are less accurate for lower-mass systems (which require mass-ratio information to resolve degeneracy), yet the means may be dominated by high-M_c events where P_MassGap is near zero by construction. Without binned or conditional error metrics, the numbers do not demonstrate that the model adds actionable information precisely for the mass-gap identification task that motivates the work.
Authors: We agree that aggregate mean errors alone are insufficient to fully demonstrate the model's utility for mass-gap identification, given the acknowledged performance differences across mass regimes. In the revised manuscript, we will add stratified performance metrics, including mean prediction errors binned by chirp mass ranges and by true P_MassGap values, to provide a clearer assessment of actionable information for lower-mass systems. revision: yes
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Referee: [Abstract] Abstract and model description: No information is supplied on training dataset composition (e.g., simulated waveforms, mass distributions, noise realizations), neural network architecture, loss function, training/validation split, cross-validation, or the procedure used to compute the quoted mean prediction errors and their uncertainties. These omissions prevent verification that the reported performance reflects genuine generalization rather than overfitting or distribution shift from training to real O4a data.
Authors: We acknowledge these omissions in the current manuscript. The revised version will include complete details on the training dataset composition (simulated waveforms, mass distributions, and noise realizations), neural network architecture, loss function, training/validation splits, cross-validation procedures, and the exact computation of mean prediction errors with uncertainties. This will enable verification of generalization performance. revision: yes
Circularity Check
No significant circularity detected in model training or evaluation.
full rationale
The paper presents a standard supervised neural network (GWSkyNet-MassGap) trained to output P_MassGap and P_NS from gravitational-wave candidate features. It explicitly notes that the network infers from chirp mass, performs well on high-M_c systems, and is weaker on low-mass systems due to mass-ratio degeneracy. Evaluation uses separate O4a candidate events with reported mean errors (9% and 6%). No equations or steps reduce by construction to the inputs, no parameters are fitted then relabeled as predictions, and no load-bearing self-citations or uniqueness theorems are invoked. The chain is a conventional ML pipeline with independent test data and acknowledged limitations, remaining self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
free parameters (1)
- Neural network weights and biases
Reference graph
Works this paper leans on
-
[1]
Aasi, J., Abbott, B. P., Abbott, R., et al. 2015, Classical and Quantum Gravity, 32, 074001, doi: 10.1088/0264-9381/32/7/074001
-
[2]
Abac, A. G., Abbott, R., Abouelfettouh, I., et al. 2024, ApJL, 970, L34, doi: 10.3847/2041-8213/ad5beb
-
[3]
Abac, A. G., Abouelfettouh, I., Acernese, F., et al. 2025a, arXiv e-prints, arXiv:2508.18082, doi: 10.48550/arXiv.2508.18082
work page internal anchor Pith review doi:10.48550/arxiv.2508.18082
-
[4]
GWTC-4.0: Methods for Identifying and Characterizing Gravitational-wave Transients,
Abac, A. G., Abouelfettouh, I., Acernese, F., et al. 2025b, arXiv e-prints, arXiv:2508.18081, doi: 10.48550/arXiv.2508.18081
-
[5]
2025 a , GWTC-4.0: Parameter estimation data release , 10.5281/zenodo.17014085
Abac, A. G., Abouelfettouh, I., Acernese, F., et al. 2025c, GWTC-4.0: Parameter estimation data release, Zenodo, doi: 10.5281/zenodo.17014085 14 https://nayyer-raza.github.io/projects/GWSkyNet- MassGap/ 15 https://github.com/nayyer-raza/GWSkyNet-Multi
-
[6]
2017, PhRvL, 119, 161101, doi: 10.1103/PhysRevLett.119.161101
Abbott, B. P., Abbott, R., Abbott, T. D., et al. 2017a, PhRvL, 119, 161101, doi: 10.1103/PhysRevLett.119.161101
-
[7]
Abbott, B. P., Abbott, R., Abbott, T. D., et al. 2017b, ApJL, 848, L12, doi: 10.3847/2041-8213/aa91c9
-
[8]
ApJ848(2), 13 (2017) https://doi.org/10.3847/2041-8213/aa920c arXiv:1710.05834 [astro-ph.HE]
Abbott, B. P., Abbott, R., Abbott, T. D., et al. 2017c, ApJL, 848, L13, doi: 10.3847/2041-8213/aa920c
-
[9]
Abbott, B. P., Abbott, R., Abbott, T. D., et al. 2019, Physical Review X, 9, 031040, doi: 10.1103/PhysRevX.9.031040
-
[10]
Abbott, R., Abbott, T. D., Abraham, S., et al. 2020, ApJL, 896, L44, doi: 10.3847/2041-8213/ab960f
-
[11]
Abbott, R., Abbott, T. D., Abraham, S., et al. 2021a, ApJL, 915, L5, doi: 10.3847/2041-8213/ac082e
-
[12]
Abbott, R., Abbott, T. D., Acernese, F., et al. 2021b, GWTC-3 Candidate Data Release, Zenodo, doi: 10.5281/zenodo.5546665
-
[13]
Abbott, R., Abbott, T. D., Acernese, F., et al. 2023a, Physical Review X, 13, 041039, doi: 10.1103/PhysRevX.13.041039 14Raza et al. O4b O4c Event ID GWSkyNet-MassGapPredictions Event ID GWSkyNet-MassGapPredictions PMassGap PNS PMassGap PNS S240413p 0.29±0.04 0.43±0.07 S250205bk 0.28±0.04 0.43±0.10 S240422ed 0.20±0.08 0.99±0.01 S250206dm 0.32±0.06 0.97±0.0...
-
[14]
Abbott, R., Abbott, T. D., Acernese, F., et al. 2023b, Physical Review X, 13, 011048, doi: 10.1103/PhysRevX.13.011048
-
[15]
Abbott, R., Abbott, T. D., Acernese, F., et al. 2024, PhRvD, 109, 022001, doi: 10.1103/PhysRevD.109.022001
-
[16]
C., Buffaz, E., Vieira, N., et al
Abbott, T. C., Buffaz, E., Vieira, N., et al. 2022, ApJ, 927, 232, doi: 10.3847/1538-4357/ac5019
-
[17]
2015, Classical and Quantum Gravity, 32, 024001, doi: 10.1088/0264-9381/32/2/024001
Acernese, F., Agathos, M., Agatsuma, K., et al. 2015, Classical and Quantum Gravity, 32, 024001, doi: 10.1088/0264-9381/32/2/024001
-
[18]
Akiba, T., Sano, S., Yanase, T., Ohta, T., & Koyama, M. 2019, in Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, KDD ’19 (New York, NY, USA: Association for Computing Machinery), 2623–2631, doi: 10.1145/3292500.3330701
-
[19]
Progress of Theoretical and Experimental Physics , keywords =
Akutsu, T., Ando, M., Arai, K., et al. 2021, Progress of Theoretical and Experimental Physics, 2021, 05A101, doi: 10.1093/ptep/ptaa125
-
[20]
The Mass distribution of stellar black holes.Astrophys
Bailyn, C. D., Jain, R. K., Coppi, P., & Orosz, J. A. 1998, ApJ, 499, 367, doi: 10.1086/305614 Boh´ e, A., Shao, L., Taracchini, A., et al. 2017, PhRvD, 95, 044028, doi: 10.1103/PhysRevD.95.044028
-
[21]
1996, Machine Learning, 24, 123, doi: 10.1023/A:1018054314350 —
Breiman, L. 1996, Machine Learning, 24, 123–140, doi: 10.1023/A:1018054314350
-
[22]
2016, MNRAS, 459, 646, doi: 10.1093/mnras/stw575
Breu, C., & Rezzolla, L. 2016, MNRAS, 459, 646, doi: 10.1093/mnras/stw575
-
[23]
2020, ApJL, 904, L9, doi: 10.3847/2041-8213/abc5b5
Cabero, M., Mahabal, A., & McIver, J. 2020, ApJL, 904, L9, doi: 10.3847/2041-8213/abc5b5
-
[24]
Capote, E., Jia, W., Aritomi, N., et al. 2025, PhRvD, 111, 062002, doi: 10.1103/PhysRevD.111.062002
-
[25]
L., McIver, J., Mahabal, A., et al
Chan, M. L., McIver, J., Mahabal, A., et al. 2024, ApJ, 972, 50, doi: 10.3847/1538-4357/ad496a
-
[26]
Chatterjee, D., Ghosh, S., Brady, P. R., et al. 2020, ApJ, 896, 54, doi: 10.3847/1538-4357/ab8dbe
-
[27]
S., Toivonen, A., Waratkar, G., et al
Chaudhary, S. S., Toivonen, A., Waratkar, G., et al. 2024, Proceedings of the National Academy of Science, 121, e2316474121, doi: 10.1073/pnas.2316474121
-
[28]
Cutler, C., Apostolatos, T. A., Bildsten, L., et al. 1993, PhRvL, 70, 2984, doi: 10.1103/PhysRevLett.70.2984
-
[29]
2020, ApJ, 904, 80, doi: 10.3847/1538-4357/abbd3b
Essick, R., & Landry, P. 2020, ApJ, 904, 80, doi: 10.3847/1538-4357/abbd3b
-
[30]
and Fishbach, Maya and Essick, Reed and Holz, Daniel E
Galaudage, S. 2022, ApJ, 931, 108, doi: 10.3847/1538-4357/ac5f03
-
[31]
M., Sravan, N., Cantrell, A., et al
Farr, W. M., Sravan, N., Cantrell, A., et al. 2011, ApJ, 741, 103, doi: 10.1088/0004-637X/741/2/103
-
[32]
Finn, L. S., & Chernoff, D. F. 1993, PhRvD, 47, 2198, doi: 10.1103/PhysRevD.47.2198
-
[33]
Fishbach, M., Essick, R., & Holz, D. E. 2020, ApJL, 899, L8, doi: 10.3847/2041-8213/aba7b6
-
[34]
Fonseca, E., Cromartie, H. T., Pennucci, T. T., et al. 2021, ApJL, 915, L12, doi: 10.3847/2041-8213/ac03b8
-
[35]
The maximum mass of a neutron star.Astrophys
Kalogera, V., & Baym, G. 1996, ApJL, 470, L61, doi: 10.1086/310296
-
[36]
Khan, S., Husa, S., Hannam, M., et al. 2016, PhRvD, 93, 044007, doi: 10.1103/PhysRevD.93.044007
-
[37]
Kunnumkai, K., Palmese, A., Farah, A. M., et al. 2024, arXiv e-prints, arXiv:2411.13673, doi: 10.48550/arXiv.2411.13673
-
[38]
2021, Living Reviews in Relativity, 24, 5, doi: 10.1007/s41114-021-00033-4
Kyutoku, K., Shibata, M., & Taniguchi, K. 2021, Living Reviews in Relativity, 24, 5, doi: 10.1007/s41114-021-00033-4
-
[39]
Landry, P., & Read, J. S. 2021, ApJL, 921, L25, doi: 10.3847/2041-8213/ac2f3e
-
[40]
2021, PhRvD, 104, 063003, doi: 10.1103/PhysRevD.104.063003 LVK Collaboration
Landry, P. 2021, PhRvD, 104, 063003, doi: 10.1103/PhysRevD.104.063003 LVK Collaboration. 2018, LVK Algorithm Library - LALSuite,, Free software (GPL) doi: 10.7935/GT1W-FZ16 LVK Collaboration. 2022, Noise curves for use in simulations pre-O4, https://dcc.ligo.org/LIGO-T2200043/public
-
[41]
2026, PhRvD, 113, 083013, doi: 10.1103/w6gp-lgfk
Mali, U., & Essick, R. 2026, PhRvD, 113, 083013, doi: 10.1103/w6gp-lgfk
-
[42]
Mishra, C. K., Kela, A., Arun, K. G., & Faye, G. 2016, PhRvD, 93, 084054, doi: 10.1103/PhysRevD.93.084054
-
[43]
Most, E. R., Weih, L. R., & Rezzolla, L. 2020, MNRAS, 496, L16, doi: 10.1093/mnrasl/slaa079 ¨Ozel, F., Psaltis, D., Narayan, R., & McClintock, J. E. 2010, ApJ, 725, 1918, doi: 10.1088/0004-637X/725/2/1918
-
[44]
Raza, N., Chan, M. L., Haggard, D., et al. 2025, ApJ, 992, 152, doi: 10.3847/1538-4357/adfc58
-
[45]
Shah, V. G., Narayan, G., Perkins, H. M. L., et al. 2024, MNRAS, 528, 1109, doi: 10.1093/mnras/stad3711
-
[46]
Singer, L. P., & Price, L. R. 2016, PhRvD, 93, 024013, doi: 10.1103/PhysRevD.93.024013
-
[47]
Woosley, S. E., & Heger, A. 2021, ApJL, 912, L31, doi: 10.3847/2041-8213/abf2c4
discussion (0)
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