Nicolas Gauvrit's Books

Methods and Applications of Algorithmic Complexity

Beyond Statistical Lossless Compression

By: Hector Zenil,Fernando Soler Toscano,Nicolas Gauvrit

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Methods and Applications of Algorithmic Complexity

Beyond Statistical Lossless Compression

By: Hector Zenil,Fernando Soler Toscano,Nicolas Gauvrit

This book explores a different pragmatic approach to algorithmic complexity rooted or motivated by the theoretical foundations of algorithmic probability and explores the relaxation of necessary and sufficient conditions in the pursuit of numerical applicability, with some of these approaches entailing greater risks than others in exchange for greater relevance and applicability. Some established and also novel techniques in the field of applications of algorithmic (Kolmogorov) complexity currently coexist for the first time, ranging from the dominant ones based upon popular statistical lossless compression algorithms (such as LZW) to newer approaches that advance, complement, and also pose their own limitations. Evidence suggesting that these different methods complement each other for different regimes is presented, and despite their many challenges, some of these methods are better grounded in or motivated by the principles of algorithmic information. The authors propose that the field can make greater contributions to science, causation, scientific discovery, networks, and cognition, to mention a few among many fields, instead of remaining either as a technical curiosity of mathematical interest only or as a statistical tool when collapsed into an application of popular lossless compression algorithms. This book goes, thus, beyond popular statistical lossless compression and introduces a different methodological approach to dealing with algorithmic complexity. For example, graph theory and network science are classic subjects in mathematics widely investigated in the twentieth century, transforming research in many fields of science from economy to medicine. However, it has become increasingly clear that the challenge of analyzing these networks cannot be addressed by tools relying solely on statistical methods. Therefore, model-driven approaches are needed. Recent advances in network science suggest that algorithmic information theory could play an increasingly important role in breaking those limits imposed by traditional statistical analysis (entropy or statistical compression) in modeling evolving complex networks or interacting networks. Further progress on this front calls for new techniques for an improved mechanistic understanding of complex systems, thereby calling out for increased interaction between systems science, network theory, and algorithmic information theory, to which this book contributes.

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270

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Springer Nature

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ISBN 10

3662649853

ISBN 13

9783662649855

Developing Critical Thinking in Physics

The Apprenticeship of Critique

By: Laurence Viennot,Nicolas Décamp

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Developing Critical Thinking in Physics

The Apprenticeship of Critique

By: Laurence Viennot,Nicolas Décamp

This book promotes the effective implementation and development of critical analysis in physics. It focuses on explanatory texts concerning subjects typically dealt with in secondary or higher education and addressed in an academic or popular context. It highlights the general difficulties and obstacles inherent in teaching physics and shows how some tools can help to combine successful criticism and better understanding. The book examines the main reasons to call a text into question and looks at risk factors such as simplifications, story-like explanations and visual analogies. It takes inventory of the benefits and limits of critical analysis and discusses the complex links between conceptual mastery and critical attitude. The book ends by offering tools to activate critical thinking and ways for educators to guide students towards productive critical analysis.

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142

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Springer Nature

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ISBN 10

3030437736

ISBN 13

9783030437732

Methods and Applications of Algorithmic Complexity

Beyond Statistical Lossless Compression

By: Hector Zenil,Fernando Soler Toscano,Nicolas Gauvrit

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Methods and Applications of Algorithmic Complexity

Beyond Statistical Lossless Compression

By: Hector Zenil,Fernando Soler Toscano,Nicolas Gauvrit

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

270

Publisher

Springer Nature

Published Date

ISBN 10

3662649853

ISBN 13

9783662649855

Book's by Nicolas Gauvrit

Methods and Applications of Algorithmic Complexity

Methods and Applications of Algorithmic Complexity

Developing Critical Thinking in Physics

Developing Critical Thinking in Physics

Methods and Applications of Algorithmic Complexity

Methods and Applications of Algorithmic Complexity

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