{
  "abstract": "Small, heterogeneous datasets are common in chemometrics, yet their predictive ceiling is rarely quantified. We assembled 19 flotation collectors from 15 literature sources (116 pH-resolved recovery points) and asked how much of the label, curve maximum and full pH curve can be predicted from molecular descriptors. The model combines DFT, Mordred and local descriptors in an additive molecule/pH kernel with a target branch for the label and maximum and a shape branch for the normalized curve. Whole-molecule leave-one-out gave label R2=0.821 (RMSE 7.79 pp), maximum R2=0.801 (8.07 pp) and full-curve R2=0.635 (19.59 pp). The pooled curve value is misleading: the per-molecule median R2 was 0.138 and the minimum −114.9, and correcting the M04/M13 structures did not rescue these failures. A post hoc source-group test (pooled R2=0.549) and six held-out congeners (R2=0.110; MAE 26.7 pp) further limited the claim. The model can rank training-like collectors, but it cannot certify a new molecule, a new source or a full curve. The study shows why pooled R2 and random splits are insufficient for small chemometric datasets, and provides a benchmark and validation protocol for more honest claims.",
  "abstract_shown": true,
  "affiliations": [
    "State Key Laboratory of Critical Metals Beneficiation, Metallurgy and Purification",
    "Zhengzhou University",
    "School of Chemical Engineering",
    "School of Materials Science and Engineering",
    "Zhongyuan Critical Metals Laboratory, Zhengzhou University",
    "Zhongyuan Purification Manufacturing Process Laboratory",
    "School of Minerals Processing and Bioengineering",
    "Central South University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 7,
  "authors": [
    {
      "affs": [
        0,
        1,
        2
      ],
      "name": "Linfeng Xu",
      "orcid": "0009-0006-8474-2061"
    },
    {
      "affs": [
        3,
        4
      ],
      "name": "Jiaxin Nie"
    },
    {
      "affs": [
        0,
        1
      ],
      "name": "Yuxin Li"
    },
    {
      "affs": [
        0,
        1
      ],
      "name": "Yuting Chen"
    },
    {
      "affs": [
        0,
        1,
        2,
        5
      ],
      "name": "Jianyong He"
    },
    {
      "affs": [
        6,
        7
      ],
      "name": "Li Wang"
    },
    {
      "affs": [
        2,
        1,
        3,
        4
      ],
      "name": "Yijun Cao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/39f0daegemftt.bib",
  "cited_by": 0,
  "doi": "10.26434/chemrxiv.15011157/v1",
  "fulltext_url": null,
  "id": "39f0daegemftt",
  "issns": [],
  "landing_url": "https://chemrxiv.org/doi/full/10.26434/chemrxiv.15011157/v1",
  "language": null,
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2312|Minerals Flotation and Separation Techniques"
    ]
  ],
  "openalex": "W7224087492",
  "pdf_url": "https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011157/v1",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": "American Chemical Society (ACS)",
  "ris": "https://research.draconitic.com/paper/39f0daegemftt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:26Z",
      "native_id": "10.26434/chemrxiv.15011157",
      "source": "chemrxiv",
      "url": "https://chemrxiv.org/doi/full/10.26434/chemrxiv.15011157/v1"
    }
  ],
  "subjects": [
    {
      "field": "earth",
      "origin": "openalex:2312|Minerals Flotation and Separation Techniques",
      "subfield": "hydrology-soils"
    }
  ],
  "title": "Small-data pH-resolved kernel modelling of flotation collectors",
  "title_text": "Small-data pH-resolved kernel modelling of flotation collectors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:26Z",
  "url": "https://research.draconitic.com/paper/39f0daegemftt",
  "venue": "ChemRxiv",
  "versions": []
}