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This open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.

Mathematical and Computational Biology --- Applications of Mathematics --- Mathematical Modeling and Industrial Mathematics --- applied mathematics --- scientific computing --- computational physiology --- finite element methods --- cardiac modelling --- biomechanics --- numerical methods --- preconditioning --- open access --- Maths for scientists --- Mathematical modelling --- Maths for engineers

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This open access book focuses on robot introspection, which has a direct impact on physical human–robot interaction and long-term autonomy, and which can benefit from autonomous anomaly monitoring and diagnosis, as well as anomaly recovery strategies. In robotics, the ability to reason, solve their own anomalies and proactively enrich owned knowledge is a direct way to improve autonomous behaviors. To this end, the authors start by considering the underlying pattern of multimodal observation during robot manipulation, which can effectively be modeled as a parametric hidden Markov model (HMM). They then adopt a nonparametric Bayesian approach in defining a prior using the hierarchical Dirichlet process (HDP) on the standard HMM parameters, known as the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM). The HDP-HMM can examine an HMM with an unbounded number of possible states and allows flexibility in the complexity of the learned model and the development of reliable and scalable variational inference methods. This book is a valuable reference resource for researchers and designers in the field of robot learning and multimodal perception, as well as for senior undergraduate and graduate university students.

Robotics and Automation --- Bayesian Inference --- Control, Robotics, Mechatronics --- Machine Learning --- Mathematical Modeling and Industrial Mathematics --- Robotic Engineering --- Control, Robotics, Automation --- Collaborative Robot Introspection --- Nonparametric Bayesian Inference --- Anomaly Monitoring and Diagnosis --- Multimodal Perception --- Anomaly Recovery --- Human-robot Collaboration --- Robot Safety and Protection --- Hidden Markov Model --- Robot Autonomous Manipulation --- open access --- Robotics --- Bayesian inference --- Automatic control engineering --- Electronic devices & materials --- Machine learning --- Mathematical modelling --- Maths for engineers