Ergebnisse für: Entropy and conditional entropy

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Buch Cover Paradigm Structure and Predictability in Latin Inflection
Latin paradigms are almost proverbially known, and they have often been used as a test case for different theoretical approaches to morphological complexity. This book analyses them in a completely word-based perspective, using a recently developed information-theoretic methodology, making entropy-b...
Buch Cover Recent Studies on Risk Analysis and Statistical Modeling
This book provides an overview of the latest developments in the field of risk analysis (RA). Statistical methodologies have long-since been employed as crucial decision support tools in RA. Thus, in the context of this new century, characterized by a variety of daily risks - from security to health...
Buch Cover The Mathematical Foundations of Large Language Models
This book emerged from a simple observation: while Large Language Models (LLMs) have become ubiquitous, their mathematical foundations remain opaque to many practitioners, students, and enthusiasts. This book bridges that gap by presenting LLMs from first principles – not as a black box, but as an...
Buch Cover Concepts and Algorithms for Computing Maximum Entropy Distributions for Knowledge Bases with Relational Probabilistic Conditionals
Many practical problems are concerned with incomplete and uncertain knowledge about domains where relations among different objects play an important role. Relational probabilistic conditionals provide an adequate way to express such uncertain, rule-like knowledge of the form „If A holds, then B h...
Buch Cover Paradigm Structure and Predictability in Latin Inflection
Latin paradigms are almost proverbially known, and they have often been used as a test case for different theoretical approaches to morphological complexity. This book analyses them in a completely word-based perspective, using a recently developed information-theoretic methodology, making entropy-b...
Buch Cover Paradigm Structure and Predictability in Latin Inflection
Latin paradigms are almost proverbially known, and they have often been used as a test case for different theoretical approaches to morphological complexity. This book analyses them in a completely word-based perspective, using a recently developed information-theoretic methodology, making entropy-b...
Buch Cover On Rényi Information Measures and Their Applications
The solutions to many problems in information theory can be expressed using Shannon’s information measures such as entropy, relative entropy, and mutual information. Other problems—for example source coding with exponential cost functions, guessing, and task encoding—require Rényi’s informa...
Buch Cover Recent Studies on Risk Analysis and Statistical Modeling
This book provides an overview of the latest developments in the field of risk analysis (RA). Statistical methodologies have long-since been employed as crucial decision support tools in RA. Thus, in the context of this new century, characterized by a variety of daily risks - from security to health...
Buch Cover Recent Studies on Risk Analysis and Statistical Modeling
This book provides an overview of the latest developments in the field of risk analysis (RA). Statistical methodologies have long-since been employed as crucial decision support tools in RA. Thus, in the context of this new century, characterized by a variety of daily risks - from security to health...
Buch Cover The Mathematical Foundations of Large Language Models
This book emerged from a simple observation: while Large Language Models (LLMs) have become ubiquitous, their mathematical foundations remain opaque to many practitioners, students, and enthusiasts. This book bridges that gap by presenting LLMs from first principles – not as a black box, but as an...
Buch Cover Entropy Applications in Environmental and Water Engineering
Entropy theory has wide applications to a range of problems in the fields of environmental and water engineering, including river hydraulic geometry, fluvial hydraulics, water monitoring network design, river flow forecasting, floods and droughts, river network analysis, infiltration, soil moisture,...
Buch Cover Entropy Measures for Data Analysis
Entropies and entropy-like quantities play an increasing role in modern non-linear data analysis. Fields that benefit from this application range from biosignal analysis to econophysics and engineering. This issue is a collection of papers touching on different aspects of entropy measures in data an...
Buch Cover Quantum Probability and Randomness
The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis...

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