TOI-837 b has a true obliquity of 25.9+7.5-6.3 deg, the first planet younger than 100 Myr with accessible ψ incompatible with an aligned orbit, favoring primordial disc torque followed by disc-driven migration.
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emcee: The MCMC Hammer
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abstract
We introduce a stable, well tested Python implementation of the affine-invariant ensemble sampler for Markov chain Monte Carlo (MCMC) proposed by Goodman & Weare (2010). The code is open source and has already been used in several published projects in the astrophysics literature. The algorithm behind emcee has several advantages over traditional MCMC sampling methods and it has excellent performance as measured by the autocorrelation time (or function calls per independent sample). One major advantage of the algorithm is that it requires hand-tuning of only 1 or 2 parameters compared to $\sim N^2$ for a traditional algorithm in an N-dimensional parameter space. In this document, we describe the algorithm and the details of our implementation and API. Exploiting the parallelism of the ensemble method, emcee permits any user to take advantage of multiple CPU cores without extra effort. The code is available online at http://dan.iel.fm/emcee under the MIT License.
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- abstract We introduce a stable, well tested Python implementation of the affine-invariant ensemble sampler for Markov chain Monte Carlo (MCMC) proposed by Goodman & Weare (2010). The code is open source and has already been used in several published projects in the astrophysics literature. The algorithm behind emcee has several advantages over traditional MCMC sampling methods and it has excellent performance as measured by the autocorrelation time (or function calls per independent sample). One major advantage of the algorithm is that it requires hand-tuning of only 1 or 2 parameters compared to $\sim
- method The resultingP 1D mocks are assigned the same covariance matrix as the one em- ployed in the DESI DR1 analysis. These mocks do not include contaminants or systematics; however, we analyze them with the model presented in the previous section, which accounts for both. We extract cosmological constraints using the publicly available affine-invariant Markov chain Monte Carlo (MCMC) ensemble sampleremcee 7 [118]. At each step,emceeproposes 7https://emcee.readthedocs.io/en/stable/ - 23 - 0.9 1.0 1.1
- method For the BAO sector, we utilize the dataset of [89], which incorporates fiducial cosmology corrections through the ratior d/rfid, allowing for a consistent com- parison between theoretical predictions and observations. The exploration of the parameter space is carried out using the Markov Chain Monte Carlo (MCMC) method, implemented through the publicly available Python pack- ageemcee[90]. In this context, the SNIa nuisance pa- rameterMis treated as a free parameter of the Pan- theon dataset (see
- method RPG-2019-350, and Royal Society Grant No. RGS-R2-202004. LIGO was con- structed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the National Science Foundation and operates un- der cooperative agreement PHY-0757058. We acknowledge use of iPython [86], Matplotlib [87, 88], NumPy [89], SciPy [90], emcee [91] and SeaBorn [92]. This is LIGO Document P2000231 Glossary and main symbols α(⃗λ ) The fraction of physical sources that are detectable by
- method PLANCK + PP, and (ii) CC + DESBAO + PLANCK + DES, as −2 lnLtot = 𝜒2 tot. (6.8) We estimate the likelihood by implementing the model in Python and use the publicly available affine-invariant Markov Chain Monte Carlo (MCMC) ensemble sampler emcee [145] to obtain the posterior distributions of the model parameters. The resulting samples are then analyzed usingGetDist [146] to obtain marginalized 1D and 2D posterior distributions. Finally, we compare the statistical preference of the current model r
- method consistent solutions across cosmic epochs, and adopt uniform priors as listed in Tab. II. For sampling and likelihood eval- uation, we employ the nested samplerPolyChord, which is well suited for high-dimensional parameter spaces compared to affine-invariant MCMC samplers such asemcee[99-101]. The chains are analyzed usingGetDistto extract the best-fit values [102, 103]. Finally, we compare our models against flat ΛCDM using information criteria such as the Akaike Informa- tion Criterion (AIC) a
- method package that provides a common framework for writing DESI likelihoods. The BAO the- ory and likelihood is implemented in JAX [126] 20. Even though gradient-based sampling methods were implemented, we found that with analytic marginalization over broadband parameters that leaves a few sampled parameters, and using Jax just-in-time compilation and parallelization capabilities, the ensemble sampler emcee [127]21 provided well-sampled posterior estimates in a just a few minutes. In addition to MCMC
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representative citing papers
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Bayesian MCMC fitting of a phenomenological model reveals that isospin asymmetry strongly suppresses alpha preformation probability in superheavy nuclei while reproducing shell effects and experimental half-lives.
citing papers explorer
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Analytical and fitting formulae for solutions to Lyman-alpha radiative transfer equations: the effects of geometry, recoil, and velocity gradients
Derives analytical solutions and fitting formulae for Lyα spectra under cylindrical geometry including recoil and velocity gradients, validated against Monte Carlo simulations.
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Dark Matter in Draco and Bo\"otes I: Hints of a Core in an Ultra-Faint Dwarf from Simulation-Based Inference
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Diverse Histories and Common Origins of Nitrogen-enhanced JWST Galaxies
76 N/O-enhanced galaxies at 4<z<8.5 are observed shortly after starbursts, either in the WR enrichment phase within 10 Myr or the AGB phase after 30-40 Myr following outflows.
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MEGA and SMILES Find Fewer Dusty Galaxies than Expected at Cosmic Noon
JWST MIRI observations of 634 galaxies at 0.2<z<2 yield IR luminosity functions with faint-end slope α≈0.147, implying lower dust-obscured SFRD than previous ALMA/Herschel/Spitzer studies.
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Direct detection of cool molecular gas in a star-forming galaxy at $z=7.31$
Direct detection of CO(3-2) at z=7.31 in REBELS-25 gives M_mol ~ 10^11 M_sun with f_gas ~0.95, confirming a massive molecular reservoir and showing low-J CO remains detectable in the Epoch of Reionization.
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Rogue Ones: Orbital census of Galactic Cepheids and their Anomalies
A 6D kinematic census identifies 18 anomalous Cepheids with extreme orbits, including one possibly scattered by globular cluster E3, and finds consistency between dynamical and stellar ages.
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Hector Galaxy Survey: Linking the low- and high-mass ends of the initial mass function in star-forming galaxies
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NOEMA$^\rm{3D}$: A deep view of cold gas flows in a barred spiral galaxy at $z\sim1$
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Hidden Monsters with SPHEREx I: A goldmine for heavily reddened quasars at cosmic noon
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Variables in S-PLUS: I. Multiband period-luminosity relations and reddening maps of the Magellanic Clouds using classical Cepheids
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Morphology, sizes, and scatter in a large sample of distant quiescent galaxies
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The VMC survey -- LV. The coherent expansion of the SMC
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It's Not Just Star Formation: A trend of low dark matter densities in the Andromeda dwarf galaxy system
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