var files = [{name: 'foo.txt'}, {name: 'bar.txt'}, {name: 'baz.txt'}]

var files_to_remove = [{name: 'bar.txt'}]

​

/* Raw JS */

/*

files = files.map(file => {

  var found = files_to_remove.some(o => o.name == file.name)

  return found ? null : file

})

*/

​

​

/* jQuery */

files = $.map(files, function(file) {  

  var found = files_to_remove.some(o => o.name == file.name)

  return found ? null : file

})

​

​

console.log(files)