Some Order Preserving Inequalities for Cross Entropy and Kullback–Leibler Divergence

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some Free Entropy Dimension Inequalities for Subfactors

Suppose N ⊂ M is an inclusion of II1-factors of finite index. If N can be generated by a finite set of elements, then there exist finite generating sets X for N and Y for M such that δ0(X) ≥ δ0(Y ), where δ0 denotes Voiculescu’s microstates (modified) free entropy dimension. Moreover, given ǫ > 0 one has δ0(F ) ≥ δ0(G) ≥ ([M : N ] −2 − ǫ) · (δ0(F ) − 1) + 1 − ǫ for certain generating sets F for...

متن کامل

Some inequalities for information divergence and related measures of discrimination

Inequalities which connect information divergence with other measures of discrimination or distance between probability distributions are used in information theory and its applications to mathematical statistics, ergodic theory and other scientific fields. We suggest new inequalities of this type, often based on underlying identities. As a consequence we obtain certain improvements of the well...

متن کامل

Some Inequalities Among New Divergence Measures

Abstract There are three classical divergence measures exist in the literature on information theory and statistics. These are namely, Jeffryes-Kullback-Leiber J-divergence. Burbea-Rao [1] Jensen-Shannon divegernce and Taneja [8] arithmetic-geometric mean divergence. These three measures bear an interesting relationship among each other and are based on logarithmic expressions. The divergence m...

متن کامل

Validity and Failure of some Entropy inequalities for CAR systems

Basic properties of von Neumann entropy such as the triangle inequality and what we call MONO-SSA are studied for CAR systems. We show that both inequalities hold for every even state by using symmetric purification which is applicable to such a state. We construct a certain class of non-even states giving examples of the non-validity of those inequalities. e-mail:[email protected]

متن کامل

A note on inequalities for Tsallis relative operator entropy

‎In this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy‎, ‎{em Math‎. ‎Inequal‎. ‎Appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎Meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...

متن کامل

ذخیره 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: Entropy

سال: 2018

ISSN: 1099-4300

DOI: 10.3390/e20120959