Nonapproximability of the normalized information distance
نویسندگان
چکیده
منابع مشابه
Nonapproximability of the normalized information distance
Article history: Received 23 October 2009 Received in revised form 11 June 2010 Accepted 28 June 2010 Available online 3 July 2010
متن کاملNormalized Information Distance
The normalized information distance is a universal distance measure for objects of all kinds. It is based on Kolmogorov complexity and thus uncomputable, but there are ways to utilize it. First, compression algorithms can be used to approximate the Kolmogorov complexity if the objects have a string representation. Second, for names and abstract concepts, page count statistics from the World Wid...
متن کاملNonapproximablity of the Normalized Information Distance
Normalized information distance (NID) uses the theoretical notion of Kolmogorov complexity, which for practical purposes is approximated by the length of the compressed version of the file involved, using a real-world compression program. This practical application is called ‘normalized compression distance’ and it is trivially computable. It is a parameter-free similarity measure based on comp...
متن کاملChapter 3 Normalized Information Distance
The normalized information distance is a universal distance measure for objects of all kinds. It is based on Kolmogorov complexity and thus uncomputable, but there are ways to utilize it. First, compression algorithms can be used to approximate the Kolmogorov complexity if the objects have a string representation. Second, for names and abstract concepts, page count statistics from the World Wid...
متن کاملNormalized Information Distance and the Oscillation Hierarchy
We study the complexity of approximations to the normalized information distance. We introduce a hierarchy of computable approximations by considering the number of oscillations. This is a function version of the difference hierarchy for sets. We show that the normalized information distance is not in any level of this hierarchy, strengthening previous nonapproximability results. As an ingredie...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2011
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2010.06.018