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arxiv: 2607.02498 · v1 · pith:BXY7MEAHnew · submitted 2026-07-02 · 🌌 astro-ph.CO

Alleviating prior dependencies for DESI DR1 clustering fits through reparameterization

Pith reviewed 2026-07-03 06:25 UTC · model grok-4.3

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keywords DESI DR1EFTofLSSJeffreys priorprojection effectscosmological parameterspower spectrum multipolesBayesian inference
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The pith

The Jeffreys prior recenters DESI DR1 posteriors for H0, w0 and wa to enclose the maximum a posteriori within 68% credible regions.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

Bayesian analyses of DESI DR1 full-shape clustering data exhibit prior-volume projection effects in which weakly constrained EFTofLSS nuisance parameters shift marginalized cosmological posteriors away from their maximum. The paper tests two mitigation strategies on the power spectrum multipoles, with the fully reparameterization-invariant Jeffreys prior over all EFT coefficients evaluated on-the-fly via closed-form Jacobians proving effective at recentering the posteriors for late-time expansion parameters. When combined with BBN and ns constraints, baseline priors produce multi-sigma shifts in H0, w0 and wa, but the Jeffreys prior places the maximum a posteriori inside the 68% regions. A hybrid Jeffreys plus baseline Gaussian prior is identified as the favored configuration because it also controls over-broad tails in omega_c while preserving the volume correction, and the resulting credible intervals agree with both HOD-informed priors and frequentist profile-likelihood intervals in central values and degeneracy directions.

Core claim

The Jeffreys prior over all EFTofLSS coefficients, evaluated on-the-fly with closed-form Jacobians, successfully mitigates prior-volume projection effects in DESI DR1 analyses, recentering the marginalized posteriors for the Hubble parameter H0 and dark energy equation-of-state parameters w0 and wa so that the maximum a posteriori estimate lies inside the 68% credible regions; a hybrid Jeffreys plus baseline-Gaussian configuration further controls residual tails in omega_c while the corrected credible intervals match those from HOD priors and frequentist analyses.

What carries the argument

The Jeffreys prior over all EFTofLSS coefficients evaluated on-the-fly via closed-form Jacobians, which supplies a reparameterization-invariant correction to the posterior volume.

If this is right

  • Baseline priors produce multi-sigma projection shifts in H0, w0 and wa when DESI DR1, BBN and ns data are combined.
  • The Jeffreys prior encloses the maximum a posteriori estimate inside the 68% credible regions for these late-time parameters.
  • The hybrid Jeffreys plus baseline-Gaussian prior controls over-broad tails in omega_c while retaining the volume correction.
  • Credible intervals obtained with the corrected priors agree with HOD-informed priors and frequentist profile-likelihood intervals in both central values and w0-wa degeneracy directions.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same on-the-fly Jeffreys construction could be ported to other large-scale-structure surveys whose nuisance-parameter spaces produce similar projection effects.
  • If future data releases tighten constraints on the EFT coefficients, the magnitude of the required volume correction will shrink but the method remains applicable without modification.
  • The observed agreement between Bayesian and frequentist results once projection effects are removed indicates that the underlying DESI DR1 clustering data support robust inferences on late-time expansion independent of statistical framework.

Load-bearing premise

The closed-form Jacobians required to evaluate the Jeffreys prior on-the-fly can be computed accurately without introducing numerical artifacts or approximations that alter the shape of the cosmological posteriors.

What would settle it

A direct numerical check showing that the maximum a posteriori point for H0 or the w0-wa plane still lies outside the 68% credible region after the Jeffreys prior is applied, or that the on-the-fly Jacobian evaluation visibly distorts posterior contours relative to an exact computation.

read the original abstract

Bayesian analyses of the full-shape clustering of Dark Energy Spectroscopic Instrument (DESI) Data Release 1 (DR1) exhibit prior-volume projection effects, whereby weakly constrained nuisance parameters of the Effective Field Theory of Large Scale Structure (EFTofLSS) shift marginalized cosmological posteriors away from the posterior maximum. We reanalyze DESI DR1 power spectrum multipoles using two complementary mitigation strategies: (i) nonlinear orthogonalization to decorrelate nuisance and cosmological parameter priors, and (ii) a fully reparameterization-invariant Jeffreys prior over all EFTofLSS coefficients, evaluated on-the-fly via closed-form Jacobians. Including data from DESI, Big-Bang Nuclesynthesis and a constraint on $n_{\mathrm{s}}$, baseline priors lead to multi-$\sigma$ projection in the Hubble parameter $H_{0}$ and dark energy equation of state parameters $w_{0}$ and $w_{a}$; the Jeffreys prior successfully recenters these posteriors to enclose the maximum a posteriori estimate within the 68\% credible regions, demonstrating clear mitigation of projection effects for these late-time expansion parameters. A hybrid Jeffreys+baseline-Gaussian configuration controls residual over-broad tails in the physical cold dark matter density $\omega_{\mathrm{c}}$ while preserving the volume correction, and is our favoured approach. We compare the credible intervals derived using our methodology to those obtained using Halo Occupation Distribution (HOD)-informed priors and to confidence intervals derived using frequentist profile likelihood analyses, finding agreement in both central values and degeneracy directions in the $w_{0}$--$w_{a}$ plane. This demonstrates that, once projection effects are properly controlled, we can make robust inferences about the late-time cosmological expansion independent of the statistical framework adopted.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The paper claims that prior-volume projection effects in DESI DR1 EFTofLSS full-shape analyses shift marginalized posteriors for H0, w0, and wa away from the MAP; it demonstrates that a Jeffreys prior (evaluated on-the-fly via closed-form Jacobians) recenters these posteriors so the MAP lies inside the 68% credible region, while a hybrid Jeffreys+baseline-Gaussian prior controls residual tails in ωc. It further reports agreement in central values and degeneracy directions with both HOD-informed priors and frequentist profile-likelihood intervals.

Significance. If the closed-form Jacobians are free of artifacts, the work supplies a practical, reparameterization-invariant route to controlling projection effects in high-dimensional EFTofLSS fits, thereby strengthening the robustness of late-time expansion constraints from DESI-scale data and showing consistency across Bayesian and frequentist frameworks.

major comments (1)
  1. [Abstract / §3] Abstract and §3 (Jeffreys prior construction): the headline result that the Jeffreys prior encloses the MAP within the 68% CR for H0, w0, wa rests on the accuracy of the stated closed-form Jacobians of the Fisher information matrix. No cross-validation against finite-difference numerical Fisher matrices or against an alternative reparameterization is reported; in a 20+-dimensional EFTofLSS space any truncation or cancellation error would alter the effective prior volume and could produce an apparent recentering that is not present with an exact Jeffreys prior.
minor comments (2)
  1. [Abstract] The hybrid Jeffreys+baseline-Gaussian configuration is presented as the favoured approach, but the precise weighting between the two components and the criterion used to choose the hybrid over the pure Jeffreys prior are not quantified.
  2. [Figures / Results section] Figure captions and text should explicitly state the data cuts (k-range, multipoles, BBN and ns constraints) used for each posterior shown, to allow direct comparison with the HOD and profile-likelihood results.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive feedback, which helps strengthen the presentation of our results on controlling projection effects in DESI DR1 analyses. We address the single major comment below.

read point-by-point responses
  1. Referee: [Abstract / §3] Abstract and §3 (Jeffreys prior construction): the headline result that the Jeffreys prior encloses the MAP within the 68% CR for H0, w0, wa rests on the accuracy of the stated closed-form Jacobians of the Fisher information matrix. No cross-validation against finite-difference numerical Fisher matrices or against an alternative reparameterization is reported; in a 20+-dimensional EFTofLSS space any truncation or cancellation error would alter the effective prior volume and could produce an apparent recentering that is not present with an exact Jeffreys prior.

    Authors: We agree that explicit validation of the closed-form Jacobians strengthens the claim. The Jacobians are obtained from the exact analytic expression of the Fisher matrix for the EFTofLSS model (no series truncation or numerical differentiation is used in the derivation). Nevertheless, the manuscript does not report a direct numerical cross-check. In the revised version we will add a short subsection to §3 that compares the analytic Jacobians against finite-difference evaluations at representative points in the 20+-dimensional parameter space, confirming agreement to machine precision and the absence of cancellation artifacts. We will also note that the reparameterization invariance of the Jeffreys prior is preserved by construction. revision: yes

Circularity Check

0 steps flagged

No significant circularity; Jeffreys prior application yields empirical result

full rationale

The paper defines the Jeffreys prior via its standard information-matrix construction and evaluates it with closed-form Jacobians on the EFTofLSS parameter space; the reported recentering of H0, w0, wa posteriors is presented as the outcome of applying this prior to the DESI DR1 likelihood, not as a quantity forced by the prior's definition itself. No load-bearing step reduces by construction to a fitted input, self-citation chain, or ansatz smuggled from prior work by the same authors. The comparison to HOD priors and profile likelihood is external and falsifiable. The derivation chain is therefore self-contained against the data and the standard definition of the prior.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the assumption that the EFTofLSS model plus the chosen data vector accurately capture the clustering signal at the scales analyzed, and that the Jeffreys prior can be evaluated without numerical error.

axioms (1)
  • domain assumption The EFTofLSS model with the included nuisance parameters is an adequate description of the DESI DR1 power spectrum multipoles at the scales used.
    Standard modeling assumption invoked when applying the prior mitigation to cosmological inference.

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