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相关论文: The Entropy of Knowledge (EoN): Complexity, Uncert…

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This study investigates entropy's potential for analyzing scientific research patterns across disciplines. Originating from thermodynamics, entropy now measures uncertainty and diversity in information systems. We examine Shannon Entropy,…

物理与社会 · 物理学 2025-03-27 Yujie Shi , Alex Jie Yang , Sanhong Deng

People employ their knowledge to recognize things. This paper is concerned with how to measure people's knowledge for recognition and how it changes. The discussion is based on three assumptions. Firstly, we construct two evolution process…

理论经济学 · 经济学 2018-11-16 Fujun Hou

Entropy is arguably one of the most powerful concepts to understand the world, from the behavior of molecules to the expansion of the universe, from how life emerges to how hybrid complex systems like cities come into being and continue…

物理与社会 · 物理学 2024-04-03 Vinicius M. Netto , Otavio Peres , Caio Cacholas

Can scientific discovery be made arbitrarily easy by choosing the right representation, collecting enough data, and deploying sufficiently powerful algorithms? This paper argues that the answer is fundamentally negative. We introduce the…

人工智能 · 计算机科学 2026-04-23 Angshul Majumdar

The construction of an ontology of scientific knowledge objects, presented here, is part of the development of an approach oriented towards the visualization of scientific knowledge. It is motivated by the fact that the concepts that are…

人工智能 · 计算机科学 2021-07-15 Vincenzo Daponte , Gilles Falquet

Even today, the concept of entropy is perceived by many as quite obscure. The main difficulty is analyzed as being fundamentally due to the subjectivity and anthropocentrism of the concept that prevent us to have a sufficient distance to…

综合物理 · 物理学 2022-10-21 Didier Lairez

Entropy is a very useful concept from physics that tries to explain how a system behaves from a point of view of the thermodynamics. However, there are two ways to explain entropy, and it depends on if we are studying a microsystem or a…

综合金融 · 定量金融 2024-07-02 Martin Pomares Calero

Entropy always increases monotonically in a closed system but complexity increases at first and then decreases as equilibrium is approached. Commonsense information-related definitions for entropy and complexity demonstrate that complexity…

物理与社会 · 物理学 2025-03-26 Theodore Modis

Herein we consider various concepts of entropy as measures of the complexity of phenomena and in so doing encounter a fundamental problem in physics that affects how we understand the nature of reality. In essence the difficulty has to do…

统计力学 · 物理学 2007-05-23 Paolo Allegrini , Martina Giuntoli , Paolo Grigolini , Bruce J. West

These lectures deal with the problem of inductive inference, that is, the problem of reasoning under conditions of incomplete information. Is there a general method for handling uncertainty? Or, at least, are there rules that could in…

数据分析、统计与概率 · 物理学 2016-09-08 Ariel Caticha

Information theory is a mathematical theory of learning with deep connections with topics as diverse as artificial intelligence, statistical physics, and biological evolution. Many primers on information theory paint a broad picture with…

信息论 · 计算机科学 2019-03-26 Philip Chodrow

Here we deconstruct, and then in a reasoned way reconstruct, the concept of "entropy of a system," paying particular attention to where the randomness may be coming from. We start with the core concept of entropy as a COUNT associated with…

综合物理 · 物理学 2017-05-10 Tommaso Toffoli

This paper states the case for applying the conceptual and analytic tools associated with the study of entropy in physical systems to cognition, focusing on creative cognition. It is proposed that minds modify their contents and adapt to…

神经元与认知 · 定量生物学 2016-11-14 Liane Gabora

It has long been known that scientific output proceeds on an exponential increase, or more properly, a logistic growth curve. The interplay between effort and discovery is clear, and the nature of the functional form has been thought to be…

物理与社会 · 物理学 2010-05-17 Samuel Arbesman

Information theory provides a mathematical foundation to measure uncertainty in belief. Belief is represented by a probability distribution that captures our understanding of an outcome's plausibility. Information measures based on…

信息论 · 计算机科学 2020-01-17 Jed A. Duersch , Thomas A. Catanach

Entropy has emerged as a dynamic, interdisciplinary, and widely accepted quantitative measure of uncertainty across different disciplines. A unified understanding of entropy measures, supported by a detailed review of their theoretical…

概率论 · 数学 2025-03-21 Naveen Kumar , Ambesh Dixit , Vivek Vijay

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe.…

广义相对论与量子宇宙学 · 物理学 2025-07-16 Tanisha Joshi

In the 21st century, many of the crucial scientific and technical issues facing humanity can be understood as problems associated with understanding, modelling, and ultimately controlling complex systems: systems comprised of a large number…

信息论 · 计算机科学 2025-01-20 Thomas F. Varley

This article introduces the physics of information in the context of molecular biology and genomics. Entropy and information, the two central concepts of Shannon's theory of information and communication, are often confused with each other…

生物大分子 · 定量生物学 2007-05-23 Christoph Adami

Entropy concept was introduced by Clausius 160 years ago, and has been continually enriched, developed and interpreted by the researchers in many different scientific disciplines ever since. Thermodynamics and other scientific disciplines…

化学物理 · 物理学 2017-11-21 Marko Popovic
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