Results 101 to 110 of about 758,529 (345)
Advanced Science, EarlyView.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
, 2011 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
Advanced Science, EarlyView.ABSTRACT Accumulating evidence suggests that the intestinal microbiota participates in the progression of metabolic dysfunction‐associated steatotic liver disease (MASLD) through microbiota‐host interaction. However, the beneficial role of commensal mycobiota in MASLD progression remains poorly understood.
Shuping Qiao +11 more
wiley +1 more source
Combinatorial Entropy for Distinguishable Entities in Indistinguishable States
, 2007 The combinatorial basis of entropy by Boltzmann can be written $H= {N}^{-1} \ln \mathbb{W}$, where $H$ is the dimensionless entropy of a system, per unit entity, $N$ is the number of entities and $\mathbb{W}$ is the number of ways in which a given ...
Andrea Rapisarda +5 more
core +1 more source
Shannon and Renyi Entropy of Wavelets
Anais do XXI Simpósio Brasileiro de Telecomunicações, 2004 This paper reports a new reading for wavelets, which is based on the classical 'De Broglie' principle. The wave-particle duality principle is adapted to wavelets. Every continuous basic wavelet is associated with a proper probability density, allowing defining the Shannon entropy of a wavelet. Further entropy definitions are considered, such as Jumarie
openaire +2 more sources
Advanced Science, EarlyView.A real‐world model of structured animal product restriction practiced for religious reasons reveals the dynamic adaptability of the human gut microbiome to dietary change and uncovers reductions in diversity and rare taxa loss. Integrated microbiome, metabolomic, and proteomic analyses uncover coordinated taxonomic and molecular shifts and identify ...
Christina Emmanouil +7 more
wiley +1 more source
New Estimations for Shannon and Zipf–Mandelbrot Entropies
Entropy, 2018 The main purpose of this paper is to find new estimations for the Shannon and Zipf–Mandelbrot entropies. We apply some refinements of the Jensen inequality to obtain different bounds for these entropies.
Muhammad Adil Khan +2 more
doaj +1 more source
Relations Between Conditional Shannon Entropy and Expectation of $\ell_{\alpha}$-Norm
, 2016 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
The Shannon Entropy of a Histogram
, 2022 Preprint for work presented at the Royal Statistical Society Annual Meeting, Aberdeen, September ...
Watts, Stephen, Crow, Lisa
openaire +2 more sources
Alternating High‐Fat and Polysaccharide Diets Modulates Gut Phage‐Bacterial Interplay
Advanced Science, EarlyView.This study reveals how alternating high‐fat and polysaccharide diets reshape the human gut virome and enhance phage‐bacteria interactions. Using large‐scale metagenomic meta‐analysis and a time‐resolved mouse model, the authors show that diets strongly modulate phage abundance, lifestyle, and gene exchange, offering new insights into nutrition‐guided ...
Fengxiang Zhao +6 more
wiley +1 more source