Ajax upload file to Wordpress REST API v2 media endpoint

gistfile1.txt

<input type="file" id="file"/>

-----

var file = $('#file')[0].files[0];

$.ajax({
  method: "POST",
  url: REST_API_URL + 'wp/v2/media',
  data: file,
  processData: false,
  contentType: false,
  beforeSend: function (xhr) {
      xhr.setRequestHeader('X-WP-Nonce', MP_FORM_SUBMIT.nonce);
      xhr.setRequestHeader('Content-Disposition', 'attachment; filename='+file.name);
  }
});