[
  {
    "id": "dl3-c02-1",
    "type": "article",
    "title": "Fourier Neural Operator for Parametric Partial Differential Equations",
    "author": [
      {
        "literal": "Zongyi Li"
      },
      {
        "literal": "Nikola Kovachki"
      },
      {
        "literal": "Kamyar Azizzadenesheli"
      },
      {
        "literal": "Burigede Liu"
      },
      {
        "literal": "Kaushik Bhattacharya"
      },
      {
        "literal": "Andrew Stuart"
      },
      {
        "literal": "Anima Anandkumar"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2020
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2010.08895",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2010.08895"
  },
  {
    "id": "dl3-c02-2",
    "type": "article",
    "title": "Neural Operator: Learning Maps Between Function Spaces",
    "author": [
      {
        "literal": "Nikola Kovachki"
      },
      {
        "literal": "Zongyi Li"
      },
      {
        "literal": "Burigede Liu"
      },
      {
        "literal": "Kamyar Azizzadenesheli"
      },
      {
        "literal": "Kaushik Bhattacharya"
      },
      {
        "literal": "Andrew Stuart"
      },
      {
        "literal": "Anima Anandkumar"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2021
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2108.08481",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2108.08481"
  },
  {
    "id": "dl3-c02-3",
    "type": "article",
    "title": "DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators",
    "author": [
      {
        "literal": "Lu Lu"
      },
      {
        "literal": "Pengzhan Jin"
      },
      {
        "literal": "George Em Karniadakis"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2019
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/1910.03193",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "1910.03193"
  },
  {
    "id": "dl3-c02-4",
    "type": "article",
    "title": "Error estimates for DeepOnets: A deep learning framework in infinite dimensions",
    "author": [
      {
        "literal": "Samuel Lanthaler"
      },
      {
        "literal": "Siddhartha Mishra"
      },
      {
        "literal": "George Em Karniadakis"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2021
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2102.09618",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2102.09618"
  },
  {
    "id": "dl3-c02-5",
    "type": "article",
    "title": "Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning",
    "author": [
      {
        "literal": "Francesca Bartolucci"
      },
      {
        "literal": "Emmanuel de Bézenac"
      },
      {
        "literal": "Bogdan Raonić"
      },
      {
        "literal": "Roberto Molinaro"
      },
      {
        "literal": "Siddhartha Mishra"
      },
      {
        "literal": "Rima Alaifari"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2023
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2305.19913",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2305.19913"
  },
  {
    "id": "dl3-c02-6",
    "type": "article",
    "title": "Convolutional Neural Operators for robust and accurate learning of PDEs",
    "author": [
      {
        "literal": "Bogdan Raonić"
      },
      {
        "literal": "Roberto Molinaro"
      },
      {
        "literal": "Tim De Ryck"
      },
      {
        "literal": "Tobias Rohner"
      },
      {
        "literal": "Francesca Bartolucci"
      },
      {
        "literal": "Rima Alaifari"
      },
      {
        "literal": "Siddhartha Mishra"
      },
      {
        "literal": "Emmanuel de Bézenac"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2023
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2302.01178",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2302.01178"
  }
]