<?xml version='1.0' encoding='UTF-8'?>
<OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd">
  <responseDate>2026-06-16T21:21:45Z</responseDate>
  <request verb="GetRecord" identifier="oai:materialscloud.org:1294" metadataPrefix="oai_dc">https://archive.materialscloud.org/oai2d</request>
  <GetRecord>
    <record>
      <header>
        <identifier>oai:materialscloud.org:1294</identifier>
        <datestamp>2022-03-24T15:00:55Z</datestamp>
        <setSpec>openaire_data</setSpec>
        <setSpec>community-mcarchive</setSpec>
      </header>
      <metadata>
        <oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
          <dc:contributor>Nigam, Jigyasa</dc:contributor>
          <dc:contributor>Pozdnyakov, Sergey</dc:contributor>
          <dc:contributor>Fraux, Guillaume</dc:contributor>
          <dc:contributor>Ceriotti, Michele</dc:contributor>
          <dc:creator>Nigam, Jigyasa</dc:creator>
          <dc:creator>Pozdnyakov, Sergey</dc:creator>
          <dc:creator>Fraux, Guillaume</dc:creator>
          <dc:creator>Ceriotti, Michele</dc:creator>
          <dc:date>2022-03-24</dc:date>
          <dc:description>Data-driven schemes that associate molecular and crystal structures with their microscopic properties share the need for a concise, effective description of the arrangement of their atomic constituents. Many types of models rely on descriptions of atom-centered environments, that are associated with an atomic property or with an atomic contribution to an extensive macroscopic quantity. Frameworks in this class can be understood in terms of atom-centered density correlations (ACDC), that are used as a basis for a body-ordered, symmetry-adapted expansion of the targets. Several other schemes, that gather information on the relationship between neighboring atoms using "message-passing" ideas, cannot be directly mapped to correlations centered around a single atom. We generalize the ACDC framework to include multi-centered information, generating representations that provide a complete linear basis to regress symmetric functions of atomic coordinates, and provides a coherent foundation to systematize our understanding of both atom-centered and message-passing, invariant and equivariant machine-learning schemes.

This record contains the data and code required to reproduce the results from the corresponding paper, computing message-passing inspired machine learning features built on top of density correlation. The data used in this article is a subset of other existing datasets, which can be found online:

- methane dataset: https://archive.materialscloud.org/record/2020.105
- NaCl dataset: https://github.com/dilkins/TENSOAP/tree/ea671154b3642b4ec879a4292a4dd4399ddbdea6/example/random_nacl
- QM7 and QM9 with dipole moments: https://archive.materialscloud.org/record/2020.56</dc:description>
          <dc:format>chemical/x-xyz</dc:format>
          <dc:format>application/zip</dc:format>
          <dc:format>chemical/x-xyz</dc:format>
          <dc:format>application/zip</dc:format>
          <dc:format>chemical/x-xyz</dc:format>
          <dc:format>application/octet-stream</dc:format>
          <dc:format>chemical/x-xyz</dc:format>
          <dc:format>application/octet-stream</dc:format>
          <dc:format>application/zip</dc:format>
          <dc:format>text/markdown</dc:format>
          <dc:identifier>https://doi.org/10.24435/materialscloud:3f-g3</dc:identifier>
          <dc:identifier>oai:materialscloud.org:1294</dc:identifier>
          <dc:identifier>mcid:2022.44</dc:identifier>
          <dc:language>eng</dc:language>
          <dc:publisher>Materials Cloud</dc:publisher>
          <dc:relation>https://doi.org/10.1063/5.0087042</dc:relation>
          <dc:relation>https://archive.materialscloud.org/communities/mcarchive</dc:relation>
          <dc:relation>https://doi.org/10.24435/materialscloud:z5-ck</dc:relation>
          <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
          <dc:rights>Creative Commons Attribution 4.0 International</dc:rights>
          <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
          <dc:subject>machine learning</dc:subject>
          <dc:subject>message passing</dc:subject>
          <dc:subject>reproducibility</dc:subject>
          <dc:subject>MARVEL/DD2</dc:subject>
          <dc:subject>PASC</dc:subject>
          <dc:title>Unified theory of atom-centered representations and message-passing machine-learning schemes</dc:title>
          <dc:type>info:eu-repo/semantics/other</dc:type>
        </oai_dc:dc>
      </metadata>
    </record>
  </GetRecord>
</OAI-PMH>
