Results 51 to 60 of about 105,087 (310)
Universality and Shannon entropy of codon usage [PDF]
Latex 25 pages, 21 ...
Frappat, L. +3 more
openaire +5 more sources
The aim of this study was a didactic presentation of the Shannon entropy in the quantum theory context, followed by application to the case of a one-dimensional harmonic oscillator in its ground state, both in the free case and confined case.
Wallas S. Nascimento +1 more
doaj +1 more source
Quantum query complexity of entropy estimation
Estimation of Shannon and R\'enyi entropies of unknown discrete distributions is a fundamental problem in statistical property testing and an active research topic in both theoretical computer science and information theory. Tight bounds on the number of
Li, Tongyang, Wu, Xiaodi
core +1 more source
Statistical Estimation of the Shannon Entropy [PDF]
The behavior of the Kozachenko - Leonenko estimates for the (differential) Shannon entropy is studied when the number of i.i.d. vector-valued observations tends to infinity. The asymptotic unbiasedness and L^2-consistency of the estimates are established. The conditions employed involve the analogues of the Hardy - Littlewood maximal function.
Bulinski, Alexander, Dimitrov, Denis
openaire +3 more sources
Universal logarithmic terms in the entanglement entropy appear at quantum critical points (QCPs) in one dimension (1D) and have been predicted in 2D at QCPs described by 2D conformal field theories.
Bardarson, Jens H. +2 more
core +1 more source
Device-independent Shannon entropy certification
Quantum technologies promise information processing and communication technology advancements, including random number generation (RNG). Using Bell inequalities, a user of a quantum RNG hardware can certify that the values provided by an untrusted device
Robert Okula, Piotr Mironowicz
doaj +1 more source
Analytical determination of theoretic quantities for multiple potential
The approximate analytical solutions of the three-dimensional radial Schrödinger wave equation with a multiple potential function has been studied using a suitable approximation scheme to the centrifugal term in the framework of parametric Nikiforov ...
C. A. Onate +3 more
doaj +1 more source
Estimating Entropy of Data Streams Using Compressed Counting [PDF]
The Shannon entropy is a widely used summary statistic, for example, network traffic measurement, anomaly detection, neural computations, spike trains, etc. This study focuses on estimating Shannon entropy of data streams.
Li, Ping
core
Relations Between Conditional Shannon Entropy and Expectation of $\ell_{\alpha}$-Norm
The paper examines relationships between the conditional Shannon entropy and the expectation of $\ell_{\alpha}$-norm for joint probability distributions.
Iwata, Ken-ichi, Sakai, Yuta
core +1 more source
ABSTRACT Objective Epilepsy is increasingly associated with immune dysregulation and inflammation. The T cell receptor (TCR), a key mediator of adaptive immunity, shows repertoire alterations in various immune‐mediated diseases. The unique TCR sequence serves as a molecular barcode for T cells, and clonal expansion accompanied by reduced overall TCR ...
Yong‐Won Shin +12 more
wiley +1 more source

