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Exploring Formalisation : A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology
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ISBN: 9783031146497 9783031146480 9783031146503 Year: 2022 Publisher: Cham Springer International Publishing

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Abstract

This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean. After a quick introduction to Lean, the basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. Subsequently, typical design options are discussed and brought to life through worked examples in the setting of simplicial complexes (a higher-dimensional generalisation of graph theory). Finally, the book demonstrates how current research in algebraic and geometric topology can be formalised by means of suitable abstraction layers. Informed by the author's recent teaching and research experience, this book allows students and researchers to quickly get started with formalising and checking their proofs. The core material of the book is accessible to mathematics students with basic programming skills. For the final chapter, familiarity with elementary category theory and algebraic topology is recommended.


Book
Advancements in mechatronics and intelligent robotics : proceedings of ICMIR 2020, Kunming, China, May 22-44, 2020
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ISBN: 9811618437 9811618429 Year: 2021 Publisher: Singapore : Springer,

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This book gathers selected papers presented at the Fourth International Conference on Mechatronics and Intelligent Robotics (ICMIR 2020), held in Kunming, China, on May 22-44, 2020. The proceedings cover new findings in the following areas of research: mechatronics, intelligent mechatronics, robotics and biomimetics; novel and unconventional mechatronic systems; modeling and control of mechatronic systems; elements, structures and mechanisms of micro- and nano-systems; sensors, wireless sensor networks and multi-sensor data fusion; biomedical and rehabilitation engineering, prosthetics and artificial organs; artificial intelligence (AI), neural networks and fuzzy logic in mechatronics and robotics; industrial automation, process control and networked control systems; telerobotics and human-computer interaction; human-robot interaction; robotics and artificial intelligence; bio-inspired robotics; control algorithms and control systems; design theories and principles; evolutional robotics; field robotics; force sensors, accelerometers and other measuring devices; healthcare robotics; kinematics and dynamics analysis; manufacturing robotics; mathematical and computational methodologies in robotics; medical robotics; parallel robots and manipulators; robotic cognition and emotion; robotic perception and decisions; sensor integration, fusion and perception; and social robotics.


Book
Frontiers in Psychiatry : Artificial Intelligence, Precision Medicine, and Other Paradigm Shifts
Author:
ISBN: 9813297212 9813297204 Year: 2019 Publisher: Singapore : Springer Singapore : Imprint: Springer,

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This book reviews key recent advances and new frontiers within psychiatric research and clinical practice. These advances either represent or are enabling paradigm shifts in the discipline and are influencing how we observe, derive and test hypotheses, and intervene. Progress in information technology is allowing the collection of scattered, fragmented data and the discovery of hidden meanings from stored data, and the impacts on psychiatry are fully explored. Detailed attention is also paid to the applications of artificial intelligence, machine learning, and data science technology in psychiatry and to their role in the development of new hypotheses, which in turn promise to lead to new discoveries and treatments. Emerging research methods for precision medicine are discussed, as are a variety of novel theoretical frameworks for research, such as theoretical psychiatry, the developmental approach to the definition of psychopathology, and the theory of constructed emotion. The concluding section considers novel interventions and treatment avenues, including psychobiotics, the use of neuromodulation to augment cognitive control of emotion, and the role of the telomere-telomerase system in psychopharmacological interventions.


Book
Geometric structures of statistical physics, information geometry, and learning : SPIGL'20, Les Houches, France, July 27-31
Authors: ---
ISBN: 3030779572 3030779564 Year: 2021 Publisher: Cham, Switzerland : Springer,

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Keywords

Física estadística --- Intel·ligència artificial --- Ciència cognitiva --- Mètodes de simulació --- Processament de dades --- Sistemes autoorganitzatius --- Aprenentatge automàtic --- Demostració automàtica de teoremes --- Intel·ligència artificial distribuïda --- Intel·ligència computacional --- Sistemes adaptatius --- Tractament del llenguatge natural (Informàtica) --- Raonament qualitatiu --- Representació del coneixement (Teoria de la informació) --- Sistemes de pregunta i resposta --- Traducció automàtica --- Visió per ordinador --- Xarxes neuronals (Informàtica) --- Xarxes semàntiques (Teoria de la informació) --- Agents intel·ligents (Programes d'ordinador) --- Programació per restriccions --- Vida artificial --- Estadística matemàtica --- Física --- Integrals de camí --- Mecànica estadística --- Percolació (Física estadística) --- Sistemes oberts (Física) --- Teoria cinètica de la matèria --- Teoria cinètica dels líquids --- Transformacions de fase (Física estadística) --- Statistical physics --- Artificial intelligence. --- Artificial intelligence --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers


Book
Advances in artificial intelligence, software and systems engineering : proceedings of the AHFE 2021 Virtual Conferences on Human Factors in Software and Systems Engineering, Artificial Intelligence and Social Computing, and Energy, July 25-29, 2021, USA
Authors: --- ---
ISBN: 3030806243 3030806235 Year: 2021 Publisher: Cham, Switzerland : Springer,


Book
Advances in Artificial Systems for Logistics Engineering : 2021 International Conference on Artificial Intelligence and Logistics Engineering (ICAILE2021) ; Kyiv, Ukraine, 22-24 January 2021
Authors: --- --- ---
ISBN: 3030804755 3030804747 Year: 2021 Publisher: Cham : Springer International Publishing AG,

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Abstract

This book comprises high-quality refereed research papers presented at the 2021 International Conference on Artificial Intelligence and Logistics Engineering (ICAILE2021), held in Kyiv, Ukraine, on 2224 January 2021, organized jointly by Wuhan University of Technology, National Technical University of Ukraine Igor Sikorsky Kyiv Polytechnic Institute and the International Research Association of Modern Education and Computer Science. The topics discussed in the book include state-of-the-art papers in artificial intelligence and logistics engineering. It is an excellent source of references for researchers, graduate students, engineers, management practitioners and undergraduate students interested in artificial intelligence and their applications in logistics engineering.

Keywords

Machine learning --- Artificial intelligence --- Logistics --- Data processing --- Military art and science --- Logística industrial --- Intel·ligència artificial --- Aprenentatge automàtic --- Aprenentatge (Intel·ligència artificial) --- Aprenentatge estadístic --- Teoria de l'aprenentatge estadístic --- Teoria de màquines --- Aprenentatge per reforç (Intel·ligència artificial) --- Sistemes classificadors (Intel·ligència artificial) --- Ciència cognitiva --- Mètodes de simulació --- Processament de dades --- Sistemes autoorganitzatius --- Demostració automàtica de teoremes --- Intel·ligència artificial distribuïda --- Intel·ligència computacional --- Sistemes adaptatius --- Tractament del llenguatge natural (Informàtica) --- Raonament qualitatiu --- Representació del coneixement (Teoria de la informació) --- Sistemes de pregunta i resposta --- Traducció automàtica --- Visió per ordinador --- Xarxes neuronals (Informàtica) --- Xarxes semàntiques (Teoria de la informació) --- Agents intel·ligents (Programes d'ordinador) --- Programació per restriccions --- Vida artificial --- Cadenes logístiques --- Gestió de la cadena de subministrament --- Gestió de materials --- Logística --- Logística de mercaderies --- Logística del transport de mercaderies --- Logística (Indústria) --- Planificació de la cadena de subministrament --- Emmagatzematge --- Infraestructures (Transport) --- Intercanvi electrònic de dades --- Transport de mercaderies


Book
Advances in Computer Science for Engineering and Education IV : (ICCSEEA2021) ; Kyiv, Ukraine, January 23-24, 2021
Authors: --- --- ---
ISBN: 3030804720 3030804712 Year: 2021 Publisher: Cham : Springer International Publishing AG,


Book
Advances in Artificial Intelligence : Selected Papers from the Annual Conference of Japanese Society of Artificial Intelligence (JSAI 2020)
Authors: --- --- --- --- --- et al.
ISBN: 3030731138 303073112X Year: 2021 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Abstract

This book contains expanded versions of research papers presented at the international sessions of Annual Conference of the Japanese Society for Artificial Intelligence (JSAI), which was held online in June 2020. The JSAI annual conferences are considered key events for our organization, and the international sessions held at these conferences play a key role for the society in its efforts to share Japan’s research on artificial intelligence with other countries. In recent years, AI research has proved of great interest to business people. The event draws both more and more presenters and attendees every year, including people of diverse backgrounds such as law and the social sciences, in additional to artificial intelligence. We are extremely pleased to publish this collection of papers as the research results of our international sessions.

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