REVIEW 3 major objections 6 minor 69 references
Machine learning based Photometric Redshifts for Galaxies in the North Ecliptic Pole Wide field: catalogs of spectroscopic and photometric redshifts
T0 review · 3 major / 6 minor · reviewed 2026-08-09 · deepseek-v4-flash
Pith's one-line read The paper claims that a random forest trained on 4,421 spectroscopic galaxies—including 2,572 new MMT/Hectospec redshifts—produces photometric redshifts for 77,755 sources in the AKARI North Ecliptic Pole Wide field with dispersion 0.028…
desk verdict Solid catalog paper with real new spec-z data; the headline accuracy claims need a population-matched caveat. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The load-bearing object is the random forest regression model: an ensemble of 1,000 decision trees, each grown on a bootstrap sample of the 4,421 spectroscopic galaxies and splitting on a random subset of the 56 input features (26 magnitudes, their uncertainties, and four Subaru/HSC colors: $g-r$, $r-i$, $i-z$, $z-Y$). Missing photometry is replaced with a dummy value of 1000 so the tree learns to ignore absent bands. The mechanism that carries the uncertainty claim is $\sigma_{\rm DT}$, the standard deviation of the 1,000 individual tree outputs for a single object; the paper calibrates $\sigma_{\rm DT}$ against the observed $(z_{\rm spec}-z_{\rm phot})$ scatter to produce a per-source error $\sigma_{spz}$, and validates that the normalized residuals are standard normal. The decision tree at the base is defined by recursive splits chosen to minimize the residual sum of squares in redshift.
What would settle it
Obtain deep spectra for a few hundred $r>23$ galaxies in the NEPW field that the catalog assigns $z>0.8$ with $\sigma_{\rm DT}<0.3$. If the catastrophic-outlier fraction among those objects is much larger than the quoted 7.3%, or if $(z_{\rm spec}-z_{\rm phot})/\sigma_{spz}$ deviates strongly from a standard normal, the generalization and uncertainty-calibration claims fail.
Extended reading notes
Core claim
The central claim is that a deliberately simple random forest, trained only on photometry and spectroscopic redshifts, matches or beats template-based SED fitting in the NEPW field while also supplying an error estimate. Compared against $z_{\rm spec}$ for held-out galaxies, $z_{\rm phot,RF}$ has dispersion $\sigma_{\Delta z/(1+z)}=0.028$, outlier fraction $\eta=7.3\%$, and bias $\langle\Delta z/(1+z)\rangle=-0.01$; the SED-fit comparison point is $0.049$ and $8.9\%$, respectively. The paper's second claim is that $\sigma_{\rm DT}$—the spread among the 1,000 individual tree predictions for one object—is a usable reliability indicator: the cumulative catastrophic-outlier fraction rises with $\sigma_{\rm DT}$, a cut at $\sigma_{\rm DT}=0.3$ keeps the outlier fraction below about five percent for the 52,167 sources retained, and a redshift-dependent calibration $\sigma_{spz}(\sigma_{\rm DT})$ makes $(z_{\rm spec}-z_{\rm phot})/\sigma_{spz}$ approximately standard normal. The paper also reports that accuracy is insensitive to which photometric details enter the input, including magnitude uncertainties, dummy values for missing bands, and whether colors are included.
Load-bearing premise
The accuracy numbers come from a held-out subset of the spectroscopic sample, which is mostly bright ($r<21$), 9-$\mu$m-selected, and at $z<0.8$; the paper assumes those numbers describe the full 77,755-source catalog, which reaches $r\approx26$ and $z\sim2$ where training examples are scarce.
Editorial extensions
If this is right
- The NEPW band-merged catalog gains a homogeneous redshift for all 77,755 sources with HSC photometry, so infrared luminosity functions, cluster searches, and AGN-host studies can be carried out without relying on sparse spectroscopy.
- Users can apply the $\sigma_{\rm DT}<0.3$ criterion to select a subset of 52,167 galaxies whose catastrophic-outlier fraction is below about five percent.
- The random forest outperforms SED fitting on the same 26-band photometry in this field, suggesting machine-learning redshifts should be the default for the NEPW catalog.
- Each catalog entry carries a per-object uncertainty $\sigma_{spz}$, so downstream measurements can propagate redshift errors rather than applying a single global scatter.
- Because the accuracy metrics are insensitive to which input features are used, the model is robust to the heterogeneous, partially missing photometry that plagues multi-band merging.
Reading between the lines
- The $\sigma_{\rm DT}$-to-uncertainty calibration is a generic byproduct of random forests, so the same recipe could attach error bars to any random-forest regression, not just photometric redshifts.
- Since the training sample is dominated by bright, 9-$\mu$m-selected, $z<0.8$ galaxies, the quoted accuracy probably does not hold at the faint, high-redshift end; a dedicated spectroscopic campaign at $r>23$, $z>0.8$ would be the natural stress test.
- The top-ranked input features are all Subaru/HSC bands, implying that further gains, especially at high redshift, require deeper near-infrared photometry rather than more optical band choices.
- The same pipeline, retrained on the new sample, could be transplanted directly to other AKARI or Euclid fields, producing catalogs whose errors are calibrated in a consistent way.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This paper presents new MMT/Hectospec spectroscopic redshifts in the North Ecliptic Pole Wide (NEPW) field, combines them with literature redshifts to form a training sample of 4,421 galaxies at z<2, and trains a random forest on 26-band photometry (plus four HSC colors and magnitude uncertainties) to estimate photometric redshifts for 77,555 HSC-detected sources. The authors report good test-set performance relative to held-out spectroscopic redshifts: dispersion σ_{Δz/(1+z)}=0.028, outlier fraction η=7.3%, and bias −0.01 (Section 3.3, Figure 4). They also propose using the spread of individual decision-tree predictions, σ_DT, to flag unreliable measurements and to assign per-object uncertainties (Section 3.4, Figures 5 and 7), and they test robustness to input-feature choices and to problematic photometry (Sections 4.3 and 4.5). The final product is a value-added catalog with photometric and spectroscopic redshifts, intended as a legacy resource for the NEPW field.
Significance. If the quoted accuracy holds for the full catalog, this is a useful legacy dataset for a field that will be targeted by JWST, Euclid, and SPHEREx, and the 2,572 new spectroscopic redshifts are a valuable contribution in their own right. The random forest approach is clearly described and the robustness tests over input-feature variations are a strength. The central weakness is that the headline accuracy metrics are measured only on the spectroscopic training population, whose selection function differs from that of the full 77,555-source catalog; the paper itself shows growing residuals for fainter and higher-redshift bins. That limitation does not invalidate the catalog for the bright, low-redshift population, but it does mean the accuracy claims need to be re-framed or supplemented before the paper can be accepted.
major comments (3)
- [Section 3.3, Figure 4, and Section 2.2] The headline accuracy metrics (σ=0.028, η=7.3%, bias=−0.01) are derived from 100 random 10% splits of the 4,421 spectroscopic galaxies, but this validation sample inherits the selection function described in Section 2.2: the MMT targets were mainly AKARI 9 µm selected galaxies with r<21, supplemented by r-bright galaxies, while the photometric catalog of 77,555 sources reaches r~26 and includes sources without 9 µm detections. The paper's own Figure 10 shows that the residual zspec−zphot increases for fainter and higher-redshift bins, and Section 4.4 notes that only 8% of the training set is at z>0.8. The claim that the quoted accuracy characterizes the full catalog is therefore not supported by the presented validation. Please provide accuracy metrics in bins of r-band magnitude and redshift (with selection-matched weights if possible), or explicitly state in the abstract and catalog description that the metrics apply only to the spectroscopic-like population.
- [Section 4.4 and abstract] The paper states in Section 4.4 that the random forest is only able to interpolate and that the training set spans zspec=[0,1.758], yet the abstract advertises photometric redshifts 'up to z~2'. Predictions for sources at z>1.758 are extrapolations with no validation points, so the advertised redshift range is inconsistent with the validated range. I request that the redshift range of the catalog be limited to the training support, or that high-redshift validation be provided, with extrapolated sources clearly flagged or removed from the accuracy claims.
- [Section 3.4, Figures 5 and 7] The uncertainty calibration is self-referential. The σ_spz(σ_DT) relation is defined from the 1σ scatter of (zspec−zphot) in bins of σ_DT using the uncertainty test sample, and then the right panel of Figure 7 validates the Gaussianity of the normalized residuals on that same sample. In addition, the reliability threshold σ_DT=0.3 is chosen from the same cumulative outlier curve in Figure 5. This procedure cannot detect optimistic bias from overfitting to the calibration sample. Please validate the uncertainty and reliability estimates on an independent sample, for example via a nested cross-validation or a separate calibration split, and report the empirical coverage of the quoted 1σ uncertainties.
minor comments (6)
- [Section 5 and Table 2] The number of catalog sources is listed as 77,555 in the abstract and Table 2, but the first bullet of Section 5 says 77,775; please harmonize the count.
- [Figure 10] The caption of Figure 10 describes redshift subsamples 0.0<z<0.3, 0.3<z<0.7, and 0.7<z<2.0, while the main text and figure legend use 0.0–0.4, 0.4–0.8, and 0.8–2.0; these boundaries should be made consistent.
- [Table 4] The row for Set_no err is confusing: the 'magnitude uncertainty' column says 'excluded', but the 'included HSC photometry' column still lists 'mag., mag. uncertainties, and colors'; revise the table so that each row clearly states what is included and what is excluded.
- [Section 2.2] The redshift-measuring package RVSNUpy is described only as forthcoming work and is not made publicly available; for reproducibility, please provide a software repository or a detailed algorithm description with the paper.
- [Section 4.1 and Figure 8] Only the top five permutation importances are displayed; please provide a full list or electronic table of importances for all 56 input features so that the insignificance of the remaining features can be verified.
- [Abstract and Table 2] The survey area is given as 5.4 deg² in the abstract and Section 1, but Table 2 lists 5.6 deg²; the quoted area should be consistent across the paper.
Circularity Check
No significant circularity: the headline photo-z accuracy is measured against external spectroscopic redshifts.
full rationale
The central claim — that the random forest photo-z estimates have dispersion 0.028, outlier fraction 7.3%, and bias -0.01 — is evaluated by comparing held-out random-forest predictions with spectroscopic redshifts (Section 3.3, Figure 4). Spectroscopic redshifts are external to the model and were not constructed from the photo-z predictions, so the accuracy metric is an independent benchmark. Hyperparameters are tuned on cross-validated test splits, which may cause mild optimism but is not circular. The sigma_DT uncertainty calibration (Section 3.4) is an empirical relation between tree-scatter and residual scatter, fitted and then checked on the same cross-validated spectroscopic sample; this is a self-calibration rather than an independent validation, but it does not determine the headline redshift accuracy and is not a fitted parameter renamed as a prediction. The generalization concern — that the spectroscopic training sample is brighter and lower-redshift than the full 77,755-source catalog, while the random forest can only interpolate within z <= 1.758 — is a real correctness risk, explicitly acknowledged in Section 4.4, but it is not circularity under the review criteria. No load-bearing step reduces to its own inputs by construction.
Assumptions & free parameters
free parameters (6)
- depth (max tree depth) =
25
- n_estimators (number of bootstrapped sub-training sets) =
1000
- max_features (features per split) =
7 (sqrt(56))
- dummy value for missing photometry =
1000
- sigma_DT reliability threshold =
0.3
- redshift range cut =
z < 2
assumptions (5)
- domain assumption The input 26-band photometry from the NEPW band-merged catalog (Kim et al. 2021b) is accurate and consistently calibrated across bands.
- domain assumption The compiled spectroscopic redshifts from the literature and from this survey are accurate enough to serve as training labels.
- ad hoc to paper Missing photometry values can be replaced with an extreme dummy value (1000) without systematically biasing the predictions.
- standard math The random forest interpolates within the training feature space but cannot extrapolate beyond it.
- domain assumption The spectroscopic training sample is representative of the full 77,755 source catalog in feature space.
Cite this review
Pith. "Pith review of Machine learning based Photometric Redshifts for Galaxies in the North Ecliptic Pole Wide field: catalogs of spectroscopic and photometric redshifts." pith.science (2026). https://pith.science/paper/QRIDK6FD
@misc{pith2026250200692,
author = {Pith},
title = {Pith review of: Machine learning based Photometric Redshifts for Galaxies in the North Ecliptic Pole Wide field: catalogs of spectroscopic and photometric redshifts},
year = {2026},
howpublished = {\url{https://pith.science/paper/QRIDK6FD}},
note = {Machine review of arXiv:2502.00692}
}
read the original abstract
We perform an MMT/Hectospec redshift survey of the North Ecliptic Pole Wide (NEPW) field covering 5.4 square degrees, and use it to estimate the photometric redshifts for the sources without spectroscopic redshifts. By combining 2572 newly measured redshifts from our survey with existing data from the literature, we create a large sample of 4421 galaxies with spectroscopic redshifts in the NEPW field. Using this sample, we estimate photometric redshifts of 77755 sources in the band-merged catalog of the NEPW field with a random forest model. The estimated photometric redshifts are generally consistent with the spectroscopic redshifts, with a dispersion of 0.028, an outlier fraction of 7.3%, and a bias of -0.01. We find that the standard deviation of the prediction from each decision tree in the random forest model can be used to infer the fraction of catastrophic outliers and the measurement uncertainties. We test various combinations of input observables, including colors and magnitude uncertainties, and find that the details of these various combinations do not change the prediction accuracy much. As a result, we provide a catalog of 77755 sources in the NEPW field, which includes both spectroscopic and photometric redshifts up to z~2. This dataset has significant legacy value for studies in the NEPW region, especially with upcoming space missions such as JWST, Euclid, and SPHEREx.
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