E-bok
PDF, Engelska, 2026496 kr
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Valerio Capraro – författare
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6 produkter
6 produkter
- Inbunden, Engelska, 2026
1 564 kr
Skickas inom 5-8 vardagar
The development of artificial intelligence and machine learning is leading to a revolution in the way we think about economic decisions. The Economics of Language explores how the use of generative AI and large language models (LLMs) can transform the way we think about economic behaviour. It introduces the LENS framework (Linguistic content triggers Emotions and suggests Norms, which shape Strategy choice) and presents empirical evidence that LLMs can predict human behaviour in economic games more accurately than traditional outcome-based models. It draws on years of research to provide a step-by-step development of the theory, combining accessible examples with formal modelling. Offering a roadmap for future research at the intersection of economics, psychology, and AI, this book equips readers with tools to quantify the role of language in decision-making and redefines how we think about utility, rationality, and human choice. 496 kr
Läs direkt efter köp
- Häftad, Engelska, 2026
510 kr
Skickas inom 5-8 vardagar
The development of artificial intelligence and machine learning is leading to a revolution in the way we think about economic decisions. The Economics of Language explores how the use of generative AI and large language models (LLMs) can transform the way we think about economic behaviour. It introduces the LENS framework (Linguistic content triggers Emotions and suggests Norms, which shape Strategy choice) and presents empirical evidence that LLMs can predict human behaviour in economic games more accurately than traditional outcome-based models. It draws on years of research to provide a step-by-step development of the theory, combining accessible examples with formal modelling. Offering a roadmap for future research at the intersection of economics, psychology, and AI, this book equips readers with tools to quantify the role of language in decision-making and redefines how we think about utility, rationality, and human choice. - Del 2136 - Lecture Notes in Mathematics
Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture
Häftad, Engelska, 2015423 kr
Skickas inom 10-15 vardagar
This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Connes' embedding conjecture. These notions, as well as the proofs of many results, are presented in the framework of model theory for metric structures. This point of view, rarely explicitly adopted in the literature, clarifies the ideas therein, and provides additional tools to attack open problems.Sofic and hyperlinear groups are countable discrete groups that can be suitably approximated by finite symmetric groups and groups of unitary matrices. These deep and fruitful notions, introduced by Gromov and Radulescu, respectively, in the late 1990s, stimulated an impressive amount of research in the last 15 years, touching several seemingly distant areas of mathematics including geometric group theory, operator algebras, dynamical systems, graph theory, and quantum information theory. Several long-standing conjectures, still open for arbitrary groups, are now settled for sofic or hyperlinear groups.The presentation is self-contained and accessible to anyone with a graduate-level mathematical background. In particular, no specific knowledge of logic or model theory is required. The monograph also contains many exercises, to help familiarize the reader with the topics present. - E-bokPDF, Engelska, 2015
526 kr
Läs direkt efter köp
This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Connes'' embedding conjecture. These notions, as well as the proofs of many results, are presented in the framework of model theory for metric structures. This point of view, rarely explicitly adopted in the literature, clarifies the ideas therein, and provides additional tools to attack open problems.
Sofic and hyperlinear groups are countable discrete groups that can be suitably approximated by finite symmetric groups and groups of unitary matrices. These deep and fruitful notions, introduced by Gromov and Radulescu, respectively, in the late 1990s, stimulated an impressive amount of research in the last 15 years, touching several seemingly distant areas of mathematics including geometric group theory, operator algebras, dynamical systems, graph theory, and quantum information theory. Several long-standing conjectures, still open for arbitrary groups, are now settled for sofic or hyperlinear groups.
The presentation is self-contained and accessible to anyone with a graduate-level mathematical background. In particular, no specific knowledge of logic or model theory is required. The monograph also contains many exercises, to help familiarize the reader with the topics present.
