{
  "annotation_id": "4ae2e531-378c-45f7-bd70-e8366ab6b1c7",
  "date_created": "2026-03-02T18:00:43.269000Z",
  "date_modified": "2026-03-02T18:00:43.269000Z",
  "file_hash": "e3f8b36e4b474202b36e5441b51bd5e27599ba73a2eb698047cac7322964dcd6",
  "private": false,
  "record": {
    "abstract": "A finite sum of exponential functions may be expressed by a linear\ncombination of powers of the independent variable and by successive integrals\nof the sum. This is proved for the general case and the connection between the\nparameters in the sum and the coefficients in the linear combination is\nhighlighted. The fitting of exponential functions to a given data- set is\ntherefore reduced to a multilinear approximation procedure. The results of this\napproximation do not only provide the necessary information to compute the\nfactors in the exponents and the weights of the exponential terms but also they\nare used to estimate the errors in the factors.",
    "arxiv_id": "physics/0305019",
    "authors": [
      "Bernhard Kaufmann"
    ],
    "categories": [
      "physics.data-an"
    ],
    "title": "Fitting a Sum of Exponentials to Numerical Data",
    "url": "https://arxiv.org/abs/physics/0305019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f75de78f-3534-4225-a64e-cd8920c6b774",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}