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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...
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...
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...
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...
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...
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...
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...
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...
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...
In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and e...
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...
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,...
This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field empl...
Computational intelligence is a general term for a class of algorithms designed by nature's wisdom and human intelligence. Computer scientists have proposed many computational intelligence algorithms with heuristic features. These algorithms either mimic the evolutionary processes of the biological ...