{
  "annotation_id": "a14f630f-c766-4479-b3fa-5f264ce9707c",
  "date_created": "2026-03-02T18:00:36.240000Z",
  "date_modified": "2026-03-02T18:00:36.240000Z",
  "file_hash": "763a9d8680520bf1ca04256791a463eb7d2b32e72890bcb57e426bd2dd8f1b5c",
  "private": false,
  "record": {
    "abstract": "The classical Maximum Entropy (ME) problem consists of determining a\nprobability distribution function (pdf) from a finite set of expectations of\nknown functions. The solution depends on $N+1$ Lagrange multipliers which are\ndetermined by solving the set of nonlinear equations formed by the $N$ data\nconstraints and the normalization constraint. In this short communication we\ngive three Matlab programs to calculate these Lagrange multipliers. The first\nconsiders the general case where the functions can be any functions. The second\nconsiders the special case of power functions $x^n$. In this case the data are\nthe geometrical moments of $p(x)$. The third considers the special case of\nFourier series functions $\\exp(-j n \\omega x)$. In this case the data are the\ntrigonometrical moments of $p(x)$. Some examples are also given to illustrate\nthe usefullness of these programs.",
    "arxiv_id": "physics/0111126",
    "authors": [
      "A. Mohammad-Djafari"
    ],
    "categories": [
      "physics.data-an"
    ],
    "title": "A Matlab Program to Calculate the Maximum Entropy Distributions",
    "url": "https://arxiv.org/abs/physics/0111126"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1577d18a-a8c3-46c9-b5f0-aed025956357",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}