November 20, 2022 Dataset Open Access

Bartlett, Deaglan J.; Desmond, Harry; Ferreira, Pedro G.

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    "description": "<p>ESR (Exhaustive Symbolic Regression) is a symbolic regression algorithm which efficiently and systematically finds all possible equations at fixed complexity (defined to be the number of nodes in its tree representation) given a set of basis functions.&nbsp;This is achieved by identifying the unique equations, so that one minimises the number of equations which one would have to fit to data.</p>\n\n<p>Here we provide the functions generated, the unique equations, and the mappings between all equations and unique ones&nbsp;using different sets of basis functions. These are:</p>\n\n<ul>\n\t<li>&quot;core_maths&quot;:&nbsp;<span class=\"math-tex\">\\(\\{x, a, {\\rm inv}, +, -, \\times, \\div, {\\rm pow} \\}\\)</span></li>\n\t<li>&quot;ext_maths&quot;:&nbsp;<span class=\"math-tex\">\\(\\{x, a, {\\rm inv}, \\sqrt{\\cdot}, {\\rm square}, \\exp, +, -, \\times, \\div, {\\rm pow} \\}\\)</span></li>\n</ul>\n\n<p>where <span class=\"math-tex\">\\(x\\)</span>&nbsp;is the input variable and <span class=\"math-tex\">\\(a\\)</span>&nbsp;denotes a constant.</p>\n\n<p>One can fit these functions to a data set of interest by using the <a href=\"https://esr.readthedocs.io\">ESR package</a>.</p>", 
    "license": {
      "id": "CC-BY-4.0"
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    "title": "Exhaustive Symbolic Regression Function Sets", 
    "notes": "DJB is supported by the Simons Collaboration on ``Learning the Universe'' and was supported by STFC and Oriel College, Oxford. HD is supported by a Royal Society University Research Fellowship (grant no. 211046). PGF acknowledges support from European Research Council Grant No: 693024 and the Beecroft Trust.", 
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    "keywords": [
      "Symbolic Regression"
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    "publication_date": "2022-11-20", 
    "creators": [
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        "orcid": "0000-0001-9426-7723", 
        "affiliation": "CNRS & Sorbonne Universit\u00e9, Institut d'Astrophysique de Paris and Astrophysics, University of Oxford", 
        "name": "Bartlett, Deaglan J."
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        "affiliation": "Institute of Cosmology & Gravitation, University of Portsmouth", 
        "name": "Desmond, Harry"
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        "orcid": "0000-0002-3021-2851", 
        "affiliation": "Astrophysics, University of Oxford", 
        "name": "Ferreira, Pedro G."
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