References and provenance

Where each idea or piece of code in virgil came from: a paper, a package or a person. This page is generated from references/provenance.toml, the single list that every docstring and docs page cites; BibTeX is in references/virgil.bib. The Contributions page tells the history of the project in prose.

"Ported" means code was adapted; "after" means the idea and its equations were reimplemented from the paper or the package's documentation, with no code copied. An entry is marked verified when its arXiv ID or DOI was checked against the arXiv abstract page, Crossref or NASA ADS.

Origin of the package

• Functions for the PDS 70 JWST/AMI analysis by Dori Blakely (Blakely et al. 2024), rewritten by Benjamin Pope and Louis Desdoigts as drpangloss. Louis Desdoigts wrote the JAX grid-search syntax and the first kernel-phase support; everything is built on his zodiax (the dot-path fitting interface). The name is from Voltaire's Candide, after CANDID (Gallenne et al. 2015).
• Jonah Goldfine: the acronym, and the parametric scenes in virgil.scenes (from his frito).
• Toon De Prins: ModulatedGaussianRim (an azimuthally modulated thin ring times a Gaussian envelope) and the elliptical (u, v) transform helpers, from his post-AGB disk work. The literature for such rim models is Lazareff et al. (2017) and Hillen et al. (2016).
• Grid searches (virgil.grid_fit): Dori Blakely and Louis Desdoigts, in the drpangloss era. Only linear_flux_grid notes its equivalence to fouriever's lincmap, as a comparison.
• Shashank Dholakia: the gravity-darkened star (equations from Espinosa Lara & Rieutord 2011; the implementation is Aaron Dotter's GDit, ported to JAX in his jax-interferometry), the spherical-harmonic star (harmonix), the Bessel functions (CEPHES, via harmonix, now jaxbessel) and spectrally dispersed data.
• Max Charles: the image reconstruction in virgil.imaging is a port and extension of the visibility part of dorito, with ideas from Ian Czekala's MPoL.
• Louis Desdoigts: virgil.amigo reads the mixed-DISCO format of AMIGO; virgil.coverage follows its latent visibility basis; the matrix Fourier transform was checked against dLux.

Sources by module

Each row is a place where code in virgil follows a paper or package. ported: code was adapted. after: the idea and equations were reimplemented from the paper or the package's documentation, with no code copied.

virgil._closure

virgil._elr

virgil._flat

virgil._geometry

virgil._linear

virgil._nufft_spread

virgil.aliases

virgil.amigo

virgil.angles

virgil.coverage

virgil.detection

virgil.ensemble

virgil.epochs

virgil.fields

virgil.fitting

virgil.gains

virgil.grid_fit

virgil.harmonics

virgil.imaging

virgil.inference

virgil.legacy.oifits_implaneia

virgil.likelihood

virgil.limits

virgil.metrics

virgil.models

virgil.oidata

virgil.oifits

virgil.orbits

virgil.priors

virgil.radio

virgil.radio_clean

virgil.radio_toeplitz

virgil.scenes

virgil.spectra

virgil.svi

Compared, not ported

Studied for comparison; nothing was taken from them.

Background literature

Cited in the documentation as motivation or terminology; not a source of virgil's methods.

Other background sources

Heritage and context without a code symbol of their own.

In the bibliography only

Cited by the paper, not a source of virgil's methods.

All sources

Alphabetical, one anchor per bibkey. Docstrings link here as ../references.md#<bibkey>.

• Absil et al. (2011). Searching for faint companions with VLTI/PIONIER. I. Method and first results. arXiv:1110.1178, ADS.
• Akiyama et al. (2017). Imaging the Schwarzschild-radius-scale Structure of M87 with the Event Horizon Telescope using Sparse Modeling. arXiv:1702.07361, ADS. ApJ 838, 1.
• Arras et al. (2019). Unified Radio Interferometric Calibration and Imaging with Joint Uncertainty Quantification. arXiv:1903.11169. A&A 627, A134 (2019); joint calibration and imaging (resolve), gain priors.
• Arras et al. (2020). Comparison of classical and Bayesian imaging in radio interferometry. arXiv:2008.11435, ADS. A&A 646, A84 (2021); cited in the audit as the correlated-field source: check.
• Arras et al. (2020). Variable structures in M87* from space, time and frequency resolved interferometry. arXiv:2002.05218, ADS. Nature Astron. 6, 259 (2022).
• Barndorff-Nielsen & Schou (1973). On the parametrization of autoregressive models by partial autocorrelations. doi:10.1016/0047-259X(73)90030-4. J. Multivariate Anal. 3, 408-419; the unconstrained reflection-coefficient parametrization of a minimum-phase polynomial. Standard mathematics, credited here and in docstrings, not on the contributors page.
• Barnett et al. (2019). A parallel nonuniform fast Fourier transform library based on an "exponential of semicircle" kernel. arXiv:1808.06736, ADS, doi:10.1137/18M120885X. SIAM J. Sci. Comput. 41, C479 (FINUFFT); the ES kernel, and ψ̂ at non-integer frequencies by quadrature (Sect. 3.3).
• Baron & Young (2008). Image reconstruction at Cambridge University. ADS, doi:10.1117/12.789115. BSMEM; SPIE 7013.
• Baron et al. (2012). The 2012 Interferometric Imaging Beauty Contest. arXiv:1207.7141, ADS. SPIE 8445.
• Baron, Monnier & Kloppenburg (2010). A novel image reconstruction software for optical/infrared interferometry. ADS, doi:10.1117/12.857364. SQUEEZE; SPIE 7734.
• Bekas, Kokiopoulou & Saad (2007). An estimator for the diagonal of a matrix. ADS, doi:10.1016/j.apnum.2007.01.003. Appl. Numer. Math. 57, 1214; the estimator mean(v ⊙ Hv) over Rademacher v for the regularizer Hessian diagonal.
• Betancourt (2017). A Conceptual Introduction to Hamiltonian Monte Carlo. arXiv:1701.02434, ADS.
• Betancourt & Girolami (2013). Hamiltonian Monte Carlo for Hierarchical Models. arXiv:1312.0906, ADS.
• Bishop (2006). Pattern Recognition and Machine Learning. Springer textbook, section 3.5 (evidence approximation for regularization weights). Not yet verified against arXiv, Crossref or ADS.
• Blackburn et al. (2020). Closure statistics in interferometric data. arXiv:1910.02062. ApJ 894, 31 (2020); closure equivalence with gains marginalized, finite gain priors.
• Blakely et al. (2024). The James Webb Interferometer: Space-based interferometric detections of PDS 70 b and c at 3.8 and 4.8 microns. arXiv:2404.13032, ADS. AJ 169, 137 (2025).
• Blunt et al. (2017). Orbits for the Impatient: A Bayesian Rejection Sampling Method for Quickly Fitting the Orbits of Long-Period Exoplanets. arXiv:1703.10653, ADS. OFTI.
• Blunt et al. (2019). orbitize!: A Comprehensive Orbit-fitting Software Package for the High-contrast Imaging Community. arXiv:1910.01756, ADS, GitHub. orbitize!; AJ 159, 89 (2020).
• Blunt et al. (2024). orbitize! v3: Orbit fitting for the High-contrast Imaging Community. arXiv:2409.11573, ADS, doi:10.21105/joss.06756. orbitize!; JOSS 9, 6756.
• Born & Wolf (1999). Principles of Optics, 7th edition. doi:10.1017/CBO9781139644181. section 9.2: Zernike radial polynomials, R_n^m(r) ~ r^|m|, the regularity of a smooth field at the origin.
• Brandt et al. (2021). orvara: An Efficient Code to Fit Orbits using Radial Velocity, Absolute, and/or Relative Astrometry. arXiv:2105.11671, ADS, GitHub. orvara; AJ 162, 186.
• Briggs (1995). High fidelity deconvolution of moderately resolved sources. ADS. PhD thesis, New Mexico Institute of Mining and Technology; the robust weighting; ADS 1995PhDT.......238B. Not yet verified against arXiv, Crossref or ADS.
• Broderick et al. (2020). THEMIS: A Parameter Estimation Framework for the Event Horizon Telescope. doi:10.3847/1538-4357/ab91a4. ApJ 897, 139 (2020); Laplace marginalization of station gains.
• Candès, Wakin & Boyd (2007). Enhancing Sparsity by Reweighted L1 Minimization. arXiv:0711.1612, ADS. J. Fourier Anal. Appl. 14, 877 (2008).
• CASA Team (2022). CASAdocs, Synthesis Imaging: Iteration Control (stopping criteria and stop codes). link. Iteration Control, global stopping criteria: divergence 1 is (PeakRes - PrevPeakRes) / PrevPeakRes > 3.0, divergence 2 is (PeakRes - MinPeakRes) / MinPeakRes > 3.0, both over the whole image ignoring the mask (stop codes 5 and 6); minor cycle: (currentPeak - prevPeak) / prevPeak > 0.1, stop code 4 saying 'from minimum'. The page is inconsistent on the minor-cycle reference; virgil uses the running minimum per scale (virgil's choice). Read 2026-10-24. Not yet verified against arXiv, Crossref or ADS.
• Chael et al. (2018). Interferometric Imaging Directly with Closure Phases and Closure Amplitudes. arXiv:1803.07088, ADS, doi:10.3847/1538-4357/aab6a8, GitHub. ApJ 857, 23; eht-imaging.
• Charles et al. (2026). Image reconstruction with the JWST Interferometer. arXiv:2510.10924, ADS. PASA 43, e048 (2026); fit(post_step=): they convolve the log-parameter image with a Gaussian (sigma ~0.25 pix) and renormalise every fitting epoch, to stop flux collapsing into a few pixels.
• Chavez et al. (2026). Multifrequency Synthesis via CHIBI: Colorful Hierarchical Interferometric Bayesian Imaging. arXiv:2606.04094, ADS.
• Chernoff (1954). On the Distribution of the Likelihood Ratio. ADS, doi:10.1214/aoms/1177728725.
• Clark (1980). An efficient implementation of the algorithm 'CLEAN'. ADS. A&A 89, 377; bibcode 1980A&A....89..377C; PSF-window minor cycles and the cycle threshold. Not yet verified against arXiv, Crossref or ADS.
• Cornwell (2008). Multi-Scale CLEAN deconvolution of radio synthesis images. arXiv:0806.2228, ADS, doi:10.1109/jstsp.2008.2006388. IEEE JSTSP 2, 793.
• Cornwell & Evans (1985). A simple maximum entropy deconvolution algorithm. ADS. A&A 143, 77; the entropy metric as the natural preconditioner in MEM. No DOI or arXiv ID: checked on ADS. Not yet verified against arXiv, Crossref or ADS.
• Cornwell & Wilkinson (1981). A new method for making maps with unstable radio interferometers. ADS, doi:10.1093/mnras/196.4.1067. MNRAS 196, 1067; self-calibration with a reference antenna fixing the gauge (the reference observation's gain 1).
• Cotton, Monnier & Baron (2008). 2008 imaging beauty contest. ADS, doi:10.1117/12.788903. Proc. SPIE 7013.
• Currie et al. (2019). No Clear, Direct Evidence for Multiple Protoplanets Orbiting LkCa 15: LkCa 15 bcd are Likely Inner Disk Signals. arXiv:1905.04322, ADS, doi:10.3847/2041-8213/ab1b42. ApJL 877, L3; motivates fitting a disk and a planet together.
• Czekala et al. (2025). Million Points of Light (MPoL): a PyTorch library for radio interferometric imaging. arXiv:2502.00100, ADS, GitHub, link. arXiv ID returned by title search; ADS check pending.
• De Cao, Titov & Aziz (2019). Block Neural Autoregressive Flow. arXiv:1904.04676, ADS. BNAF.
• Desdoigts. zodiax. GitHub. no paper. Not yet verified against arXiv, Crossref or ADS.
• Desdoigts et al. (2024). Differentiable Optics with dLux I: Deep calibration of Flat Field and Phase Retrieval. arXiv:2406.08703, ADS, GitHub. matrix Fourier transform cross-check; part II is 2406.08704.
• Desdoigts et al. (2025). AMIGO: a Data-Driven Calibration of the JWST Interferometer. arXiv:2510.09806, ADS. PASA 43, e075 (2026).
• Dholakia. jax-interferometry. GitHub. the original ELR code (core/ELR.py, core/utils.py), run unmodified at commit 70689ed3dba338d59c98d02e8126a07a3b4e86da by scripts/make_elr_golden.py to produce the golden fixture the port is checked against. Not yet verified against arXiv, Crossref or ADS.
• Dholakia & Pope (2025). Analytic Interferometry of Rotating Stellar Surfaces. arXiv:2509.25433, ADS, GitHub.
• Dotter. GDit. GitHub. ELR equations ported via Dholakia from GDit. Not yet verified against arXiv, Crossref or ADS.
• Drevon et al. (2026). PYRA and MYTHRA: new statistical analysis for image reconstruction. arXiv:2609.15365, ADS. the brief says 2025; arXiv v1 is 2026.
• Dumitrescu (2007). Positive Trigonometric Polynomials and Signal Processing Applications. doi:10.1007/978-1-4020-5125-8. Springer (book); the Fejér-Riesz theorem, spectral factorization and the Schur-Levinson recursion behind the positive form of Harmonics. Standard mathematics, credited here and in docstrings, not on the contributors page.
• Duvert, Young & Hummel (2015). OIFITS 2: the 2nd version of the Data Exchange Standard for Optical (Visible/IR) Interferometry. arXiv:1510.04556, ADS, doi:10.1051/0004-6361/201526405. A&A 597, A8 (2017).
• Díaz-Cordovés & Giménez (1992). A new nonlinear approximation to the limb-darkening of hot stars. ADS. A&A 259, 227; the square-root limb-darkening law. Not yet verified against arXiv, Crossref or ADS.
• Edenhofer et al. (2024). Re-Envisioning Numerical Information Field Theory (NIFTy.re): A Library for Gaussian Processes and Variational Inference. arXiv:2402.16683, ADS. JOSS 9, 6593.
• Efron (1979). Bootstrap Methods: Another Look at the Jackknife. doi:10.1214/aos/1176344552.
• Enßlin (2018). Information theory for fields. arXiv:1804.03350, ADS. Annalen der Physik 531, 1800127 (2019).
• Enßlin group (Arras, Edenhofer et al.). NIFTy: Numerical Information Field Theory. link. papers: edenhofer2024, arras2021, ensslin2009. Not yet verified against arXiv, Crossref or ADS.
• Enßlin, Frommert & Kitaura (2008). Information field theory for cosmological perturbation reconstruction and non-linear signal analysis. arXiv:0806.3474, ADS. Phys. Rev. D 80, 105005 (2009).
• Espinosa Lara & Rieutord (2011). Gravity darkening in rotating stars. arXiv:1109.3038, ADS, doi:10.1051/0004-6361/201117252. A&A 533, A43.
• Fawcett (2006). An introduction to ROC analysis. ADS, doi:10.1016/j.patrec.2005.10.010.
• Fessler et al. (2005). Toeplitz-based iterative image reconstruction for MRI with correction for magnetic field inhomogeneity. ADS, doi:10.1109/TSP.2005.853152. IEEE Trans. Signal Process. 53, 3393; the Toeplitz embedding of the normal operator AᴴWA on a 2N grid.
• Foreman-Mackey et al. (2021). exoplanet: Gradient-based probabilistic inference for exoplanet data & other astronomical time series. arXiv:2105.01994, ADS, doi:10.21105/joss.03285. JOSS 6, 3285.
• Frank, Leike & Enßlin (2021). Geometric variational inference. arXiv:2105.10470, ADS. geoVI.
• Gallenne et al. (2015). Robust high-contrast companion detection from interferometric observations. The CANDID algorithm and an application to six binary stars. arXiv:1505.02715, ADS. CANDID.
• Goldfine. frito. GitHub. Not yet verified against arXiv, Crossref or ADS.
• Greenbaum et al. (2014). An image-plane algorithm for JWST's non-redundant aperture mask data. arXiv:1411.3446, ADS. ImPlaneIA; ApJ 798, 68 (2015).
• Greenbaum, Sivaramakrishnan et al.. ImPlaneIA. GitHub. paper: greenbaum2015. Not yet verified against arXiv, Crossref or ADS.
• Gross & Vitells (2010). Trial factors for the look elsewhere effect in high energy physics. arXiv:1005.1891, ADS.
• Gull (1989). Developments in Maximum Entropy Data Analysis. doi:10.1007/978-94-015-7860-8_4. in Maximum Entropy and Bayesian Methods, Cambridge 1988; the DOI chapter title is the Gull one; Skilling 1989 shares the volume.
• Hansen & O'Leary (1993). The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems. ADS, doi:10.1137/0914086.
• Hartkopf, McAlister & Franz (1989). Binary star orbits from speckle interferometry. II. Combined visual-spectroscopic orbits of 31 close binaries. ADS, doi:10.1086/115193. AJ 98, 1014; bibcode 1989AJ.....98.1014H.
• Hattori et al. (2024). jaxoplanet. ADS, doi:10.5281/zenodo.10736936, GitHub. Zenodo; https://github.com/exoplanet-dev/jaxoplanet.
• Hillen et al. (2016). Imaging the dust sublimation front of a circumbinary disk. arXiv:1603.03023, ADS, doi:10.1051/0004-6361/201628125.
• Hoffman & Gelman (2011). The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo. arXiv:1111.4246, ADS. NUTS; JMLR 15, 1593 (2014).
• Hogg, Bovy & Lang (2010). Data analysis recipes: Fitting a model to data. arXiv:1008.4686, ADS.
• Hogg, Myers & Bovy (2010). Inferring the eccentricity distribution. arXiv:1008.4146, ADS.
• Honma, Akiyama, Uemura & Ikeda (2014). Super-resolution imaging with radio interferometry using sparse modeling. arXiv:1407.2422, ADS, doi:10.1093/pasj/psu070. PASJ 66, 95.
• Hutchinson (1989). A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines. ADS, doi:10.1080/03610918908812806. Commun. Statist. Simul. Comput. 18, 1059; the trace estimator whose Rademacher probes the regularizer part of the diagonal follows (the JᵀJ part uses Gaussian (Jᵀu)² sketches).
• Högbom (1974). Aperture synthesis with a non-regular distribution of interferometer baselines. ADS. A&AS 15, 417; bibcode 1974A&AS...15..417H. Not yet verified against arXiv, Crossref or ADS.
• Ireland (2013). Phase Errors in Diffraction-Limited Imaging: Contrast Limits for Sparse Aperture Masking. arXiv:1301.6205, ADS. MNRAS 433, 1718.
• Ireland, Monnier & Thureau (2006). Monte-Carlo imaging for optical interferometry. ADS, doi:10.1117/12.670940. Proc. SPIE 6268; MACIM, whose test of the shortest baselines the large-scale residual check follows.
• Jeffreys (1946). An invariant form for the prior probability in estimation problems. ADS, doi:10.1098/rspa.1946.0056.
• Jennings et al. (2020). Frankenstein: fitting the visibilities of protoplanetary disc and other radially symmetric sources. arXiv:2005.07709, ADS, GitHub. MNRAS 495, 3209 (2020); github.com/discsim/frank. Ideas only, no code copied (LGPL).
• Junklewitz et al. (2016). RESOLVE: A new algorithm for aperture synthesis imaging of extended emission in radio astronomy. arXiv:1311.5282, ADS. A&A 586, A76; an IFT imaging algorithm for radio interferometry.
• Kammerer. fouriever. GitHub. comparison only: compare linear_flux_grid with its lincmap (closure/kernel phases only); no paper found. Not yet verified against arXiv, Crossref or ADS.
• Kammerer et al. (2020). Increasing the achievable contrast of infrared interferometry with an error correlation model. arXiv:2011.01209, ADS.
• Kennedy (2025). vis-r: a parametric visibility modelling code for radial profiles of discs. arXiv:2502.17619, ADS, GitHub. RASTI (2025); github.com/drgmk/vis-r. Ideas only, no code copied.
• Kingma & Ba (2014). Adam: A Method for Stochastic Optimization. arXiv:1412.6980, ADS.
• Kingma et al. (2016). Improving Variational Inference with Inverse Autoregressive Flow. arXiv:1606.04934, ADS. IAF.
• Kipping (2013). Efficient, uninformative sampling of limb darkening coefficients for two-parameter laws. arXiv:1308.0009, ADS, doi:10.1093/mnras/stt1435.
• Kluska et al. (2014). SPARCO: a semi-parametric approach for image reconstruction of chromatic objects. arXiv:1403.3343, ADS.
• Knollmüller & Enßlin (2019). Metric Gaussian Variational Inference. arXiv:1901.11033, ADS.
• Kraus & Ireland (2012). LkCa 15: A Young Exoplanet Caught at Formation?. arXiv:1110.3808, ADS, doi:10.1088/0004-637X/745/1/5. ApJ 745, 5; motivates fitting a disk and a planet together.
• Kucukelbir et al. (2016). Automatic Differentiation Variational Inference. arXiv:1603.00788, ADS. ADVI; JMLR 18, 14 (2017).
• Kuramochi et al. (2018). Superresolution Interferometric Imaging with Sparse Modeling Using Total Squared Variation: Application to Imaging the Black Hole Shadow. arXiv:1802.05783, ADS, doi:10.3847/1538-4357/aab6b5. ApJ 858, 56.
• Lachaume (2021). Bias-free model fitting of correlated data in interferometry. arXiv:2104.07082, ADS, doi:10.1017/pasa.2021.20. PASA 38, e033 (2021).
• Lannelongue, Grealey & Inouye (2021). Green Algorithms: Quantifying the Carbon Footprint of Computation. ADS, doi:10.1002/advs.202100707. Advanced Science 8, 2100707; the method behind the development-carbon estimate (docs/dev_carbon.md).
• Lawson, Cotton & Hummel (2004). An interferometry imaging beauty contest. ADS, doi:10.1117/12.550710. Proc. SPIE 5491, 886; Eq. 2.
• Lazareff et al. (2016). Structure of Herbig AeBe disks at the milliarcsecond scale: A statistical survey in the H band using PIONIER-VLTI. arXiv:1611.08428, ADS. A&A 599, A85 (2017).
• Lee & Greengard (2005). The type 3 nonuniform FFT and its applications. ADS, doi:10.1016/j.jcp.2004.12.004. J. Comput. Phys. 206, 1; a type-1 spread grid evaluated off the integer lattice (the free offsets).
• Lindgren, Rue & Lindström (2011). An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach. doi:10.1111/j.1467-9868.2011.00777.x. JRSS B 73, 423; Matérn fields as solutions of an SPDE.
• Liu & Nocedal (1989). On the limited memory BFGS method for large scale optimization. ADS, doi:10.1007/BF01589116. L-BFGS.
• Lucy (2014). Mass estimates for visual binaries with incomplete orbits. arXiv:1309.2868, ADS. A&A 563, A126.
• Luger et al. (2018). STARRY: Analytic Occultation Light Curves. arXiv:1810.06559, ADS. AJ 157, 64 (2019).
• Luger, Foreman-Mackey & Hogg (2017). Linear Models for Systematics and Nuisances. arXiv:1710.11136, ADS, doi:10.3847/2515-5172/aa96b5. RNAAS 1, 7.
• MacKay (1992). Bayesian Interpolation. doi:10.1162/neco.1992.4.3.415. Neural Comput. 4, 415.
• Malbet et al. (2010). The 2010 Interferometric Imaging Beauty Contest. arXiv:1007.4473, ADS. SPIE 7734.
• Martens (2010). Deep learning via Hessian-free optimization. link. ICML 27, 735-742; the Gauss-Newton matrix as the curvature matrix. No DOI or arXiv ID, not on ADS: title and author read from the ICML 2010 PDF. Not yet verified against arXiv, Crossref or ADS.
• Martinache (2010). Kernel-Phase in Fizeau Inteferometry. arXiv:1009.3933, ADS. ApJ 724, 464 (2010).
• Martinache (2010). Kernel-Phase in Fizeau Inteferometry. arXiv:1009.3933, ADS, GitHub. xara was formerly pysco; cvis_binary is adapted from it.
• Mawet et al. (2014). Fundamental limitations of high contrast imaging set by small sample statistics. arXiv:1407.2247, ADS. ApJ 792, 97; the small-sample false-alarm correction, not applied in injection_recovery.
• Monnier et al. (2007). Imaging the Surface of Altair. arXiv:0706.0867, ADS, doi:10.1126/science.1143205. Science 317, 342; the Altair-like truth of notebooks/mwe/mwe_elr_chara.ipynb is inspired by it, not a reproduction.
• Mérand (2022). Flexible Spectro Interferometric modelling of OIFITS data with PMOIRED. arXiv:2207.11047, ADS, GitHub. PMOIRED.
• Mérand et al.. CANDID: Companion Analysis and Non-Detection in Interferometric Data. GitHub. algorithm paper: gallenne2015. Not yet verified against arXiv, Crossref or ADS.
• Offringa et al. (2014). WSCLEAN: an implementation of a fast, generic wide-field imager for radio astronomy. arXiv:1407.1943, ADS. MNRAS 444, 606; bibcode 2014MNRAS.444..606O; the WSClean argument conventions radio_clean follows.
• Oudoumanessah & Iollo. nufftax. GitHub. no paper; its spreader and kernel parameters (private API, nufftax >= 0.6.1). Not yet verified against arXiv, Crossref or ADS.
• Papaspiliopoulos, Roberts & Sköld (2007). A General Framework for the Parametrization of Hierarchical Models. ADS, doi:10.1214/088342307000000014. Statistical Science 22, 59; centred and non-centred parameterizations.
• Pauls et al. (2005). A Data Exchange Standard for Optical (Visible/IR) Interferometry. arXiv:astro-ph/0508185, ADS, doi:10.1086/444523. OIFITS 1; PASP 117, 1255.
• Pawitan (2001). In All Likelihood: Statistical Modelling and Inference Using Likelihood. doi:10.1093/oso/9780198507659.001.0001. Oxford University Press (book); the profile likelihood of the noise scale, sigma_hat = sqrt(chi2 / 2N). Not on ADS: checked on Crossref.
• Pope et al.. jaxbessel. GitHub. CEPHES (Moshier, https://www.netlib.org/cephes/) translation, adapted from harmonix; the Cephes credit lives here and in the jaxbessel repository. Not yet verified against arXiv, Crossref or ADS.
• Price-Whelan et al. (2017). The Joker: A custom Monte Carlo sampler for binary-star and exoplanet radial velocity data. arXiv:1610.07602, ADS. ApJ 837, 20.
• Quirrenbach et al. (1996). Angular diameter and limb darkening of Arcturus. ADS. A&A 312, 160; bibcode 1996A&A...312..160Q. Not yet verified against arXiv, Crossref or ADS.
• Rasmussen & Williams (2006). Gaussian Processes for Machine Learning. doi:10.7551/mitpress/3206.001.0001, link. MIT Press (book); GP terminology, Matérn kernels, marginal likelihood.
• Rau & Cornwell (2011). A multi-scale multi-frequency deconvolution algorithm for synthesis imaging in radio interferometry. arXiv:1106.2745, ADS, doi:10.1051/0004-6361/201117104. A&A 532, A71.
• Roettenbacher et al. (2016). No Sun-like dynamo on the active star ζ Andromedae from starspot asymmetry. arXiv:1709.10107, ADS, doi:10.1038/nature17444. Nature 533, 217; CHARA/MIRC starspot imaging that motivates HarmonixModel.
• Rudin, Osher & Fatemi (1992). Nonlinear total variation based noise removal algorithms. ADS, doi:10.1016/0167-2789(92)90242-F. Physica D 60, 259.
• Rue & Held (2005). Gaussian Markov Random Fields: Theory and Applications. doi:10.1201/9780203492024. Chapman & Hall/CRC (book).
• Ruffio et al. (2018). A Bayesian Framework for Exoplanet Direct Detection and Non-Detection. arXiv:1809.08261, ADS.
• Sallum et al. (2015). Accreting protoplanets in the LkCa 15 transition disk. arXiv:1511.07456, ADS, doi:10.1038/nature15761. Nature 527, 342; motivates fitting a disk and a planet together.
• Schraudolph (2002). Fast Curvature Matrix-Vector Products for Second-Order Gradient Descent. doi:10.1162/08997660260028683. Neural Comput. 14, 1723; Gauss-Newton matrix-vector products by forward-mode differentiation. Not on ADS: checked on Crossref.
• Schwab (1984). Relaxing the isoplanatism assumption in self-calibration; applications to low-frequency radio interferometry. ADS. AJ 89, 1076; bibcode 1984AJ.....89.1076S; the Cotton-Schwab major cycle (residual from the visibilities). Cotton is cited there as a private communication. Not yet verified against arXiv, Crossref or ADS.
• Selig et al. (2013). NIFTY - Numerical Information Field Theory - a versatile Python library for signal inference. arXiv:1301.4499, ADS.
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