Priors for symbolic regression

GECCO '23 Companion: Proceedings of the Companion Conference on Genetic and Evolutionary Computation Association for Computing Machinery (2023) 2402-2411

Authors:

Deaglan Bartlett, Harry Desmond, Pedro Ferreira

Abstract:

When choosing between competing symbolic models for a data set, a human will naturally prefer the “simpler” expression or the one which more closely resembles equations previously seen in a similar context. This suggests a non-uniform prior on functions, which is, however, rarely considered within a symbolic regression (SR) framework. In this paper we develop methods to incorporate detailed prior information on both functions and their parameters into SR. Our prior on the structure of a function is based on a ngram language model, which is sensitive to the arrangement of operators relative to one another in addition to the frequency of occurrence of each operator. We also develop a formalism based on the Fractional Bayes Factor to treat numerical parameter priors in such a way that models may be fairly compared though the Bayesian evidence, and explicitly compare Bayesian, Minimum Description Length and heuristic methods for model selection. We demonstrate the performance of our priors relative to literature standards on benchmarks and a real-world dataset from the field of cosmology.

Modeling and Testing Screening Mechanisms in the Laboratory and in Space

Universe MDPI 9:7 (2023) ARTN 340

Authors:

Valeri Vardanyan, Deaglan J Bartlett

Abstract:

<jats:p>The non-linear dynamics of scalar fields coupled to matter and gravity can lead to remarkable density-dependent screening effects. In this short review, we present the main classes of screening mechanisms, and discuss their tests in laboratory and astrophysical systems. We particularly focused on reviewing numerical and technical aspects involved in modeling the non-linear dynamics of screening and on tests using laboratory experiments and astrophysical systems, such as stars, galaxies, and dark matter halos.</jats:p>

Carbonaceous dust grains seen in the first billion years of cosmic time

Nature Nature Research 621:7978 (2023) 267-270

Authors:

Joris Witstok, Irene Shivaei, Renske Smit, Roberto Maiolino, Stefano Carniani, Emma Curtis-Lake, Pierre Ferruit, Santiago Arribas, Andrew J Bunker, Alex J Cameron, Stephane Charlot, Jacopo Chevallard, Mirko Curti, Anna de Graaff, Francesco D’Eugenio, Giovanna Giardino, Tobias J Looser, Tim Rawle, Bruno Rodríguez del Pino, Chris Willott, Stacey Alberts, William M Baker, Kristan Boyett, Eiichi Egami, Daniel J Eisenstein, Aayush Saxena

Abstract:

Cosmic dust—tiny, ancient particles adrift in space—holds the secret to how planets, and ultimately life, are born. Though nearly invisible, these microscopic grains are the architects of worlds. Formed in the death throes of stars, they float through the cosmos, merging, colliding, and evolving over billions of years until gravity and chemistry weave them into planets. This humble dust bridges the past and future of the universe: the remnants of dying stars become the seeds of new solar systems. Yet, cosmic dust also challenges our perception of significance. In every grain lies a history older than Earth itself, a reminder that our planet and bodies are sculpted from the same interstellar material. Understanding cosmic dust reshapes humanity’s sense of origin and belonging—it shows that creation is not a singular event but an unending cosmic cycle of destruction, transformation, and rebirth

JADES Imaging of GN-z11: Revealing the Morphology and Environment of a Luminous Galaxy 430 Myr after the Big Bang

The Astrophysical Journal American Astronomical Society 952:1 (2023) 74-74

Authors:

Sandro Tacchella, Daniel J Eisenstein, Kevin Hainline, Benjamin D Johnson, William M Baker, Jakob M Helton, Brant Robertson, Katherine A Suess, Zuyi Chen, Erica Nelson, Dávid Puskás, Fengwu Sun, Stacey Alberts, Eiichi Egami, Ryan Hausen, George Rieke, Marcia Rieke, Irene Shivaei, Christina C Williams, Christopher NA Willmer, Andrew Bunker, Alex J Cameron, Stefano Carniani, Stephane Charlot, Mirko Curti, Aayush Saxena

Abstract:

We present JWST NIRCam nine-band near-infrared imaging of the luminous z = 10.6 galaxy GN-z11 from the JWST Advanced Deep Extragalactic Survey of the GOODS-N field. We find a spectral energy distribution (SED) entirely consistent with the expected form of a high-redshift galaxy: a clear blue continuum from 1.5 to 4 μm with a complete dropout in F115W. The core of GN-z11 is extremely compact in JWST imaging. We analyze the image with a two-component model, using a point source and a Sérsic profile that fits to a half-light radius of 200 pc and an index n = 0.9. We find a low-surface-brightness haze about 0.″4 to the northeast of the galaxy, which is most likely a foreground object but might be a more extended component of GN-z11. At a spectroscopic redshift of 10.60 (Bunker et al. 2023), the comparison of the NIRCam F410M and F444W images spans the Balmer jump. From population-synthesis modeling, here assuming no light from an active galactic nucleus, we reproduce the SED of GN-z11, finding a stellar mass of ∼109 M ⊙, a star formation rate of ∼20 M ⊙ yr−1, and a young stellar age of ∼20 Myr. Since massive galaxies at high redshift are likely to be highly clustered, we search for faint neighbors of GN-z11, finding nine galaxies out to ∼5 comoving Mpc transverse with photometric redshifts consistent with z = 10.6, and a tenth more tentative dropout only 3″ away. This is consistent with GN-z11 being hosted by a massive dark-matter halo (≈8 × 1010 M ⊙), though lower halo masses cannot be ruled out

JADES NIRSpec Spectroscopy of GN-z11: Lyman-α emission and possible enhanced nitrogen abundance in a z = 10.60 luminous galaxy

Astronomy & Astrophysics EDP Sciences 677 (2023) A88-A88

Authors:

Andrew J Bunker, Aayush Saxena, Alex J Cameron, Chris J Willott, Emma Curtis-Lake, Peter Jakobsen, Stefano Carniani, Renske Smit, Roberto Maiolino, Joris Witstok, Mirko Curti, Francesco D’Eugenio, Gareth C Jones, Pierre Ferruit, Santiago Arribas, Stephane Charlot, Jacopo Chevallard, Giovanna Giardino, Anna de Graaff, Tobias J Looser, Nora Lützgendorf, Michael V Maseda, Tim Rawle, Hans-Walter Rix, Bruno Rodríguez Del Pino

Abstract:

We present JADES JWST/NIRSpec spectroscopy of GN-z11, the most luminous candidate z>10 Lyman break galaxy in the GOODS-North field with MUV =-21.5. We derive a redshift of z = 10.603 (lower than previous determinations) based on multiple emission lines in our low and medium resolution spectra over 0.7- 5.3 μm. We significantly detect the continuum and measure a blue rest-UV spectral slope of β =-2.4. Remarkably, we see spatially extended Lyman-α in emission (despite the highly neutral intergalactic medium expected at this early epoch), offset 555 km s-1 redwards of the systemic redshift. From our measurements of collisionally excited lines of both low and high ionisation (including [O II] λ3727, [Ne III] λ3869, and C III] λ1909), we infer a high ionisation parameter (log U ∼-2). We detect the rarely seen N IV] λ1486 and N III] λ1748 lines in both our low and medium resolution spectra, with other high ionisation lines seen in the low resolution spectrum, such as He II (blended with O III]) and C IV (with a possible P-Cygni profile). Based on the observed rest-UV line ratios, we cannot conclusively rule out photoionisation from an active galactic nucleus (AGN), although the high C III]/He II and N III]/He II ratios are compatible with a star formation explanation. If the observed emission lines are powered by star formation, then the strong N III] λ1748 observed may imply an unusually high N/O abundance. Balmer emission lines (Hγ, Hδ) are also detected, and if powered by star formation rather than an AGN, we infer a star formation rate of ∼20-30 M⊙ yr-1 (depending on the initial mass function) and low dust attenuation. Our NIRSpec spectroscopy confirms that GN-z11 is a remarkable galaxy with extreme properties seen 430 Myr after the Big Bang