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Topological entropy or spatial entropy is a way to measure the complexity of shift spaces. This study investigates the relationships between the spatial entropy and the various periodic entropies which are computed by skew-coordinated…

动力系统 · 数学 2022-07-26 Wen-Guei Hu , Guan-Yu Lai , Song-Sun Lin

Automated analysis for engineering structures offers considerable potential for boosting efficiency by minimizing repetitive tasks. Although AI-driven methods are increasingly common, no systematic framework yet leverages Large Language…

软件工程 · 计算机科学 2025-04-15 Haoran Liang , Mohammad Talebi Kalaleh , Qipei Mei

We show how the Shannon entropy function can be used as a basis to set up complexity measures weighting the economic efficiency of countries and the specialization of products beyond bare diversification. This entropy function guarantees…

物理与社会 · 物理学 2021-06-04 Gianluca Teza , Michele Caraglio , Attilio L. Stella

Lately, a New Transmuted Logistic-exponential (NTLE) distribution was introduced and studied as an extension of the Logistic-Exponential Distribution (LED) with wider applicability in lifetime modelling. However, the maximum likelihood…

统计方法学 · 统计学 2026-03-19 Isqeel Ogunsola , Abosede Akintunde , Kehinde Yusuff , Basirat Adetona , Faheez Abdulrasaq

We study a quantity called discrete layered entropy, which approximates the Shannon entropy within a logarithmic gap. Compared to the Shannon entropy, the discrete layered entropy is piecewise linear, approximates the expected length of the…

信息论 · 计算机科学 2026-01-27 Cheuk Ting Li

Infinitesimal contraction analysis provides exponential convergence rates between arbitrary pairs of trajectories of a system by studying the system's linearization. An essentially equivalent viewpoint arises through stability analysis of a…

系统与控制 · 电气工程与系统科学 2025-08-11 Akash Harapanahalli , Samuel Coogan

The increasing availability of big mobility data from ubiquitous portable devices enables human mobility prediction through deep learning approaches. However, the diverse complexity of human mobility data impedes model training, leading to…

机器学习 · 计算机科学 2026-03-10 Tianye Fang , Xuanshu Luo , Martin Werner

For statistical systems that violate one of the four Shannon-Khinchin axioms, entropy takes a more general form than the Boltzmann-Gibbs entropy. The framework of superstatistics allows one to formulate a maximum entropy principle with…

经典物理 · 物理学 2012-11-13 Rudolf Hanel , Stefan Thurner , Murray Gell-Mann

By integrating two powerful methods of density reduction and intrinsic dimensionality estimation, a new data-driven method, referred to as OLPP-MLE (orthogonal locality preserving projection-maximum likelihood estimation), is introduced for…

统计方法学 · 统计学 2020-12-15 Jingxin Zhang , Maoyin Chen , Hao Chen , Xia Hong , Donghua Zhou

The evaluation of Large Language Models (LLMs) faces a critical challenge in construct validity, where fragmented benchmarks and ad hoc metrics frequently conflate method variance, such as prompt sensitivity, with true latent capabilities.…

计算与语言 · 计算机科学 2026-05-15 Adib Sakhawat , Tahsin Islam , Takia Farhin , Syed Rifat Raiyan , Hasan Mahmud , Md Kamrul Hasan

Complex interactions among agents present a significant challenge for autonomous driving in real-world scenarios. Recently, a promising approach has emerged, which formulates the interactions of agents as a level-k game framework. It…

人工智能 · 计算机科学 2025-06-09 Yesheng Zhang , Wenjian Sun , Yuheng Chen , Qingwei Liu , Qi Lin , Rui Zhang , Xu Zhao

We present a numerical analysis of the entropy rate and statistical complexity related to the spin flip dynamics of the 2D Ising Ferromagnet at different temperatures T. We follow an information theoretic approach and test three different…

统计力学 · 物理学 2012-07-02 O. Melchert , A. K. Hartmann

The definition of complexity through Statistical Complexity Measures (SCM) has recently seen major improvements. Mostly, effort is concentrated in measures on time series. We propose a SCM definition for spatial dynamical systems. Our…

统计力学 · 物理学 2015-06-17 A. Arbona , C. Bona , B. Miñano , A. Plastino

Accurate traffic flow forecasting is essential for intelligent transportation systems and urban traffic management. However, single model approaches often fail to capture the complex, nonlinear, and multi scale temporal patterns in traffic…

机器学习 · 计算机科学 2025-10-29 Fujiang Yuan , Yangrui Fan , Xiaohuan Bing , Zhen Tian , Chunhong Yuan , Yankang Li

In this work we investigate the relationship between Bregman distances and regularized Logistic Regression model. We present a detailed study of Bregman Distance minimization, a family of generalized entropy measures associated with convex…

机器学习 · 计算机科学 2010-04-23 Mithun Das Gupta , Thomas S. Huang

According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for…

软凝聚态物质 · 物理学 2024-08-13 Ian M. Douglass , Jeppe C. Dyre , Lorenzo Costigliola

Whether a system is to be considered complex or not depends on how one searches for correlations. We propose a general scheme for calculation of entropies in lattice systems that has high flexibility in how correlations are successively…

统计力学 · 物理学 2015-06-18 Torbjørn Helvik , Kristian Lindgren

We initiate a study of the following problem: Given a continuous domain $\Omega$ along with its convex hull $\mathcal{K}$, a point $A \in \mathcal{K}$ and a prior measure $\mu$ on $\Omega$, find the probability density over $\Omega$ whose…

数据结构与算法 · 计算机科学 2020-04-17 Jonathan Leake , Nisheeth K. Vishnoi

Recently, substantial research efforts in Deep Metric Learning (DML) focused on designing complex pairwise-distance losses, which require convoluted schemes to ease optimization, such as sample mining or pair weighting. The standard…

Automatic vehicle location (AVL) data offers insights into transit dynamics, but its effectiveness is often hampered by inconsistent update frequencies, necessitating trajectory reconstruction. This research evaluates 13 trajectory…

机器人学 · 计算机科学 2025-09-03 Jake Robbennolt , Sirajum Munira , Stephen D. Boyles