Astronomers Map Structural Parameters for Nearly Ten Million Galaxies
Astronomy

Astronomers Map Structural Parameters for Nearly Ten Million Galaxies

Using advanced Bayesian deep learning and transfer learning, researchers have built the largest multi-band catalog of galaxy structures to date.

By John Williams
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Astronomers Map Structural Parameters for Nearly Ten Million Galaxies
Overview of the GaMPEN workflow. Left: training phase, where galaxies with known parameter values are processed by the STN and CNN, and the loss is minimized with stochastic gradient descent. Right: inference phase, where trained networks generate posterior predictions. During inference, variables are rescaled back into their physical units. Posterior estimates are obtained by running 500 forward passes with dropout enabled, each yielding a draw from the predicted multivariate Gaussian. The ensemble of draws forms the posterior distribution for each galaxy. Figure adapted from Ghosh et al. [21]. Milind Sarkar et al. / arXiv

The architecture of a galaxy holds vital clues about its formation history, star-formation activity, environmental influences, and the growth of its central supermassive black hole. Traditionally, astronomers have relied on fitting mathematical light profiles to images to determine structural parameters such as galaxy size, concentration, and the relative prominence of central bulges versus outer disks. While powerful, these conventional techniques demand immense computational power, making them increasingly impractical as modern astronomical surveys generate hundreds of millions of images.

To overcome this computational bottleneck, a team of astronomers has introduced a massive new catalog providing detailed multi-band structural parameters for nearly 10 million galaxies. The research, available on the arXiv preprint server, builds on advanced machine-learning methodologies to map the physical characteristics of galaxies across approximately 1,400 square degrees of the Hyper Suprime-Cam Subaru Strategic Program Wide survey.

Overcoming Data Limitations with Transfer Learning

A primary obstacle in training deep-learning models for astronomical morphology is the scarcity of large, pre-existing training sets with accurate structural measurements across multiple optical filters. To bypass this barrier, the authors utilized a transfer-learning approach. Rather than training models from scratch on simulated data for every new filter, they started with previously trained single-band models and fine-tuned them using a tiny fraction of real galaxies whose structural parameters were measured via traditional light-profile fitting.

Figure 1: For each redshift bin, we indicate the corresponding effective wavelength coverage of the HSC filters (g, r, and i). The diagonal blue line traces the observed position of rest-frame 450 nm emission as a function of redshift. The striped regions mark the additional filter coverage adopted in this study, while the solid shaded regions show the filters already used in Ghosh et al. [21]. Whereas Ghosh et al. [21] restrict their analysis to specific filters to ensure morphology is consistently measured in the rest-frame g-band, our study employs all available filters over the entire redshift range to extract the full morphological color information.
For each redshift bin, we indicate the corresponding effective wavelength coverage of the HSC filters (g, r, and i). The diagonal blue line traces the observed position of rest-frame 450 nm emission as a function of redshift. The striped regions mark the additional filter coverage adopted in this study, while the solid shaded regions show the filters already used in Ghosh et al. [21]. Whereas Ghosh et al. [21] restrict their analysis to specific filters to ensure morphology is consistently measured in the rest-frame g-band, our study employs all available filters over the entire redshift range to extract the full morphological color information. Credit: Milind Sarkar et al. / arXiv

The team demonstrated that fine-tuning on roughly 0.5 percent of the dataset was sufficient to adapt the deep-learning framework to new photometric bands. This approach successfully reproduced light-profile fitting measurements while requiring intensive human or algorithmic fitting for only a minuscule fraction of the total sample. The underlying architecture used for this task is the Galaxy Morphology Posterior Estimation Network, a Bayesian framework designed to predict full posterior distributions rather than single point estimates.

Bayesian Framework and Uncertainty Calibration

One of the notable aspects of the new catalog is its treatment of measurement uncertainties. Traditional machine-learning pipelines often output deterministic point estimates without robust error bars, complicating downstream statistical analyses. The Bayesian approach adopted in this study captures both aleatoric uncertainties, which stem from image noise and point spread function effects, and epistemic uncertainties, which arise from model limitations.

By incorporating the full parameter covariance matrix into its loss function and utilizing Monte Carlo dropout during inference, the framework produces well-calibrated posterior distributions. Rigorous coverage tests confirmed that the predicted uncertainties match expected confidence levels closely. When the model encounters fainter objects or smaller apparent sizes where structural measurements are inherently difficult, it automatically yields broader posterior distributions, reflecting lower certainty rather than producing misleading overconfidence.

Figure 2: Redshift (top) and magnitude (bottom) distributions of the galaxy samples. The left panels show the full set of ∼9.6\sim 9.6 million unique galaxies from this work combined with Ghosh et al. [21], while the right panels show the ∼\sim2.2 million galaxies with coverage in all three HSC bands (gg, rr, and ii) at z≤0.75z\leq 0.75, referred to as the “common galaxies” sample; of these, ∼\sim1.6 million (the low- and mid-zz galaxies) are in the public release, since the high-zz g-band measurements are excluded. Spectroscopic redshifts are used where available, and high-quality photometric redshifts otherwise. A full summary of the datasets used in this study is provided in Table 1.
Redshift (top) and magnitude (bottom) distributions of the galaxy samples. The left panels show the full set of ∼9.6\sim 9.6 million unique galaxies from this work combined with Ghosh et al. [21], while the right panels show the ∼\sim2.2 million galaxies with coverage in all three HSC bands (gg, rr, and ii) at z≤0.75z\leq 0.75, referred to as the “common galaxies” sample; of these, ∼\sim1.6 million (the low- and mid-zz galaxies) are in the public release, since the high-zz g-band measurements are excluded. Spectroscopic redshifts are used where available, and high-quality photometric redshifts otherwise. A full summary of the datasets used in this study is provided in Table 1. Credit: Milind Sarkar et al. / arXiv

Catalog Contents and Exclusions

The resulting public catalog covers galaxies out to a redshift of $z \le 0.75$ and magnitudes brighter than $m < 23$. Within this vast sample, approximately 3.9 million galaxies feature complete multi-band coverage across the available filters. The dataset provides per-galaxy posterior distributions for the bulge-to-total light ratio, effective radius, and flux.

However, the analysis also revealed important physical limitations at shorter rest-frame wavelengths. For high-redshift systems observed in the $g$-band, the filters increasingly probe rest-frame ultraviolet emission. At these wavelengths, galaxy light is dominated by young, clumpy star-forming regions rather than the smooth older stellar populations that trace the underlying bulge and disk backbone. Coupled with surface-brightness dimming, this transition introduces significant scatter and weaker agreement with traditional fitting methods. Consequently, the authors chose to exclude high-redshift $g$-band measurements from the public release to ensure data integrity.

Figure 3: For each redshift bin, we show cutouts of a single randomly selected galaxy that is imaged in all three bands (g, r, and i), with the target object centered in each frame. These examples illustrate that many cutouts include secondary sources, which can lead machine-learning models to produce spurious classifications. In GaMPEN, this issue is mitigated by the Spatial Transformer Network, which automatically crops out most secondary objects (see §III.1).
For each redshift bin, we show cutouts of a single randomly selected galaxy that is imaged in all three bands (g, r, and i), with the target object centered in each frame. These examples illustrate that many cutouts include secondary sources, which can lead machine-learning models to produce spurious classifications. In GaMPEN, this issue is mitigated by the Spatial Transformer Network, which automatically crops out most secondary objects (see §III.1). Credit: Milind Sarkar et al. / arXiv

Implications for Future All-Sky Surveys

As astronomy enters an era of unprecedented data collection with upcoming facilities such as the Vera C. Rubin Observatory’s Legacy Survey of Space and Time, the Euclid mission, and the Nancy Grace Roman Space Telescope, scalable analysis frameworks will be essential. The success of this multi-band HSC catalog demonstrates that deep-learning techniques can efficiently process massive astronomical archives while maintaining rigorous statistical rigor.

The publicly available models, source code, and comprehensive structural catalogs offer a foundational resource for the astronomical community. By providing homogeneous multi-wavelength measurements and robust uncertainties for millions of systems, the work opens new avenues for exploring morphological color gradients, environmental scaling relations, and the intricate physical mechanisms driving galaxy evolution across cosmic time.

The study was posted to the arXiv preprint server on October 23, 2026.

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Williams, John. “Astronomers Map Structural Parameters for Nearly Ten Million Galaxies.” BioScience. BioScience ISSN 2521-5760, 26 October 2026. <https://www.bioscience.com.pk/en/subject/astronomy/complete-multi-band-structural-characterization-for-10-million-galaxies-in-the-hyper-suprime-cam-wide-survey-using-deep-learning>. Williams, J. (2026, October 26). “Astronomers Map Structural Parameters for Nearly Ten Million Galaxies.” BioScience. ISSN 2521-5760. Retrieved October 26, 2026 from https://www.bioscience.com.pk/en/subject/astronomy/complete-multi-band-structural-characterization-for-10-million-galaxies-in-the-hyper-suprime-cam-wide-survey-using-deep-learning Williams, John. “Astronomers Map Structural Parameters for Nearly Ten Million Galaxies.” BioScience. ISSN 2521-5760. https://www.bioscience.com.pk/en/subject/astronomy/complete-multi-band-structural-characterization-for-10-million-galaxies-in-the-hyper-suprime-cam-wide-survey-using-deep-learning (accessed October 26, 2026).
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