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Exploratory data analysis, also known as data mining or knowledge discovery from databases, is typically based on the optimisation of a specific function of a dataset. Such optimisation is often performed with gradient descent or variations thereof. In this book, we first lay the groundwork by reviewing some standard clustering algorithms and projection algorithms before presenting various non-standard criteria for clustering. The family of algorithms developed are shown to perform better than the standard clustering algorithms on a variety of datasets. We then consider extensions of the basic mappings which maintain some topology of the original data space. Finally we show how reinforcement learning can be used as a clustering mechanism before turning to projection methods. We show that several varieties of reinforcement learning may also be used to define optimal projections for example for principal component analysis, exploratory projection pursuit and canonical correlation analysis. The new method of cross entropy adaptation is then introduced and used as a means of optimising projections. Finally an artificial immune system is used to create optimal projections and combinations of these three methods are shown to outperform the individual methods of optimisation.

Cluster analysis --- Machine learning --- Artificial intelligence --- Mathematical Statistics --- Civil Engineering --- Applied Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Data processing --- Methodology --- Cluster analysis. --- Cross-entropy method. --- CE method --- Computer science. --- Data mining. --- Artificial intelligence. --- Applied mathematics. --- Engineering mathematics. --- Computer Science. --- Data Mining and Knowledge Discovery. --- Artificial Intelligence (incl. Robotics). --- Appl.Mathematics/Computational Methods of Engineering. --- Estimation theory --- Mathematical optimization --- Correlation (Statistics) --- Multivariate analysis --- Spatial analysis (Statistics) --- Artificial Intelligence. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- 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 --- Algorithmic knowledge discovery --- Factual data analysis --- KDD (Information retrieval) --- Knowledge discovery in data --- Knowledge discovery in databases --- Mining, Data --- Database searching

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Recent advancements in mechanical engineering are an essential topic for discussion. The topics relating to mechanical engineering include the following: measurements of signals of shafts, springs, belts, bearings, gears, rotors, machine elements, vibration analysis, acoustic analysis, fault diagnosis, construction, analysis of machine operation, analysis of smart-material systems, integrated systems, stresses, analysis of deformations, analysis of mechanical properties, signal processing of mechanical systems, and rotor dynamics. Mechanical engineering deals with solid and fluid mechanics, rotation, movements, materials, and thermodynamics. This book, with 15 published articles, presents the topic “Symmetry in Mechanical Engineering”. The presented topic is interesting. It is categorized into eight different sections: Deformation; Stresses; Mechanical properties; Tribology; Thermodynamic; Measurement; Fault diagnosis; Machine. The development of techniques and methods related to mechanical engineering is growing every month. The described articles have made a contribution to mechanical engineering. The proposed research can find applications in factories, oil refineries, and mines. It is essential to develop new improved methods, techniques, and devices related to mechanical engineering.

History of engineering & technology --- traveling waves --- vibration stability --- self-excited vibration --- thin spur gear --- variational mode decomposition --- signal analysis --- time-frequency analysis --- center frequency method of double thresholds --- Hilbert transform --- finite-time control --- terminal sliding mode --- chattering --- neural network --- thin-walled structures --- higher-order deformation modes --- identification --- doubly symmetric cross-sections --- shell-like deformation --- dual mass flywheel --- absolute sensitivity --- relative sensitivity --- torsional vibration --- spring --- Dempster’s rule --- evidence distance --- pattern recognition --- maritime surveillance --- customer needs --- bad parameters --- core problems --- design process --- conceptual design --- time-varying P-type IL method --- MFA control --- imprecise probability --- active control --- piezoelectric cantilever plate --- image processing --- particle --- distribution --- rolling bearings --- Fault diagnosis --- second-order tristable stochastic resonance --- seeker optimization algorithm --- output signal-to-noise ratio --- global optimization --- meta-heuristic --- butterfly optimization algorithm --- cross-entropy method --- engineering design problems --- grinding --- rheology --- breakage parameters --- relative viscosity --- tool wear state --- CNN --- BiLSTM --- attention mechanism --- signal features --- vibrations --- symmetries --- two-engine vehicle --- rear clutch --- front clutch --- vibration modes --- granulation --- on-line monitoring --- fertilizers --- parallel robot --- minimally invasive procedures --- algebraic modeling --- Study parameters --- fractional damping --- vibration --- dynamic behaviour --- hybrid mechanism --- helicopter --- abrasive belt grinding --- predictive model --- regression --- material removal --- electric vehicles --- PMSM --- auxiliary slot --- response surface methodology --- n/a --- Dempster's rule