Results 21 to 30 of about 9,955,680 (232)

New Approximations for f-Divergence via Trapezoid and Midpoint Inequalities [PDF]

, 2002
Using sharp inequalities of trapezoid and midpoint type in terms of the infinum and supremum of the derivative, some new and better approximation of f−divergence are given.
Pearce, Charles, Dragomir, Sever S, Gluscevic, Vido   +2 more
core   +6 more sources

NLO fragmentation functions for a quark into a spin-singlet quarkonium: same flavor case

Journal of High Energy Physics, 2021
In the paper, we calculate the fragmentation functions for c → η c and b → η b up to next-to-leading-order (NLO) QCD accuracy. The ultraviolet divergences in the real corrections are removed through operator renormalization under the modified min- imal ...
Xu-Chang Zheng, Xing-Gang Wu, Xu-Dong Huang   +2 more
doaj   +1 more source

Fragmentation functions for gluon into B c or B c ∗ $$ {B}_c^{\ast } $$ meson

Journal of High Energy Physics, 2022
In the paper, we calculate the fragmentation functions for g → B c and g → B c ∗ $$ {B}_c^{\ast } $$ . The ultraviolet divergences in the calculation are removed through the renormalization of the operator definition of the fragmentation functions under ...
Xu-Chang Zheng, Chao-Hsi Chang, Xing-Gang Wu   +2 more
doaj   +1 more source

Monotonic multi-state quantum $f$-divergences [PDF]

, 2022
We use the Tomita-Takesaki modular theory and the Kubo-Ando operator mean to write down a large class of multi-state quantum $f$-divergences and prove that they satisfy the data processing inequality.
Ouseph, Shoy, Furuya, Keiichiro, Lashkari, Nima   +2 more
core   +1 more source

Limit distribution theory for $f$-Divergences [PDF]

, 2023
$f$-divergences, which quantify discrepancy between probability distributions, are ubiquitous in information theory, machine learning, and statistics. While there are numerous methods for estimating $f$-divergences from data, a limit distribution theory,
Kato, Kengo, Sreekumar, Sreejith, Goldfeld, Ziv   +2 more
core   +1 more source

Refinement of the Jensen integral inequality

Open Mathematics, 2016
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Sever Dragomir Silvestru, Adil Khan Muhammad, Abathun Addisalem   +2 more
doaj   +1 more source

Law invariant risk measures and information divergences

Dependence Modeling, 2018
Aone-to-one correspondence is drawnbetween lawinvariant risk measures and divergences,which we define as functionals of pairs of probability measures on arbitrary standard Borel spaces satisfying a few natural properties.
Lacker Daniel
doaj   +1 more source

On Data-Processing and Majorization Inequalities for f-Divergences with Applications

Entropy, 2019
This paper is focused on the derivation of data-processing and majorization inequalities for f-divergences, and their applications in information theory and statistics.
Igal Sason
doaj   +1 more source

Nonperturbative negative geometries: amplitudes at strong coupling and the amplituhedron

Journal of High Energy Physics, 2022
The amplituhedron determines scattering amplitudes in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills by a single “positive geometry” in the space of kinematic and loop variables.
Nima Arkani-Hamed, Johannes Henn, Jaroslav Trnka   +2 more
doaj   +1 more source

Screening Image Features of Collapsed Buildings for Operational and Rapid Remote Sensing Identification

Remote Sensing, 2023
The accurate detection of collapsed buildings is of great significance for post-disaster rescue and reconstruction. High-resolution optical images are important data sources for identifying collapsed buildings, and the identification accuracy mainly ...
Ruoyang Liu, Wenquan Zhu, Xinyi Yang
doaj   +1 more source