… Generally, sentences with dangling participles can be easily understood. Nevertheless, they are considered to be incorrect and should be rephrased to avoid criticism.
Certain –ing and –ed phrases are allowed to dangle. In the first place, there are several –ing and –ed words that are no longer participles but have become prepositions: according to, barring, concerning, considering, failing, following, including, owing (to), pending, regarding. Others have become conjunctions: assuming, granted, provided, providing, seeing, supposing.
(Sidney Greenbaum and Janet Whitcut, Guide to English usage. London, 1988).