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The development of kernel methods and hybrid evolutionary algorithms (HEAs) to support experts in energy forecasting is of great importance to improving the accuracy of the actions derived from an energy decision maker, and it is crucial that they are theoretically sound. In addition, more accurate or more precise energy demand forecasts are required when decisions are made in a competitive environment. Therefore, this is of special relevance in the Big Data era. These forecasts are usually based on a complex function combination. These models have resulted in over-reliance on the use of informal judgment and higher expense if lacking the ability to catch the data patterns. The novel applications of kernel methods and hybrid evolutionary algorithms can provide more satisfactory parameters in forecasting models. We aimed to attract researchers with an interest in the research areas described above. Specifically, we were interested in contributions towards the development of HEAs with kernel methods or with other novel methods (e.g., chaotic mapping mechanism, fuzzy theory, and quantum computing mechanism), which, with superior capabilities over the traditional optimization approaches, aim to overcome some embedded drawbacks and then apply these new HEAs to be hybridized with original forecasting models to significantly improve forecasting accuracy.
Kernel functions. --- Forecasting --- Electricity --- Methodology. --- Mathematics. --- Galvanism --- Mathematical physics --- Physics --- Magnetism --- Functions, Kernel --- Functions of complex variables --- Geometric function theory
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"The study of univalent functions dates back to the early years of the 20th century, and is one of the most popular research areas in complex analysis. This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and experienced researchers." [Front cover]
Functions of complex variables. --- Univalent functions. --- Functions, Schlicht --- Functions, Simple --- Functions, Univalent --- Schlicht functions --- Simple functions --- Functions of complex variables --- Geometric function theory --- Complex variables --- Elliptic functions --- Functions of real variables --- Fonctions univalentes.
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Integral operators. --- Algebra. --- Singular integrals. --- Kernel functions. --- Opérateurs intégraux. --- Algèbre. --- Intégrales singulières. --- Noyaux (analyse fonctionnelle) --- Integral operators --- Algebra --- Singular integrals --- Kernel functions --- Functions, Kernel --- Functions of complex variables --- Geometric function theory --- Integrals, Singular --- Integral transforms --- Mathematics --- Mathematical analysis --- Operators, Integral --- Integrals --- Operator theory --- Opérateurs intégraux --- Algèbre --- Intégrales singulières --- Noyaux (Mathématiques)
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"In a previous study, the authors built the Bellman function for integral functionals on the BMO space. The present paper provides a development of the subject. We abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows us to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, evolution of its picture"--
Harmonic analysis. --- Extremal problems (Mathematics) --- Bounded mean oscillation. --- Analyse harmonique --- Problèmes extrémaux (Mathématiques) --- Oscillation moyenne bornée --- Analyse harmonique (mathématiques) --- Problèmes extrémaux (mathématiques) --- Harmonic analysis --- Bounded mean oscillation --- Graph theory --- Problems, Extremal (Mathematics) --- Calculus of variations --- Geometric function theory --- Maxima and minima --- BMO (Mathematics) --- Function spaces --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Extremal problems
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This book describes computational problems related to kernel density estimation (KDE) – one of the most important and widely used data smoothing techniques. A very detailed description of novel FFT-based algorithms for both KDE computations and bandwidth selection are presented. The theory of KDE appears to have matured and is now well developed and understood. However, there is not much progress observed in terms of performance improvements. This book is an attempt to remedy this. The book primarily addresses researchers and advanced graduate or postgraduate students who are interested in KDE and its computational aspects. The book contains both some background and much more sophisticated material, hence also more experienced researchers in the KDE area may find it interesting. The presented material is richly illustrated with many numerical examples using both artificial and real datasets. Also, a number of practical applications related to KDE are presented.
Kernel functions. --- Digital filters (Mathematics) --- Data smoothing filters --- Filters, Digital (Mathematics) --- Linear digital filters (Mathematics) --- Linear filters (Mathematics) --- Numerical filters --- Smoothing filters (Mathematics) --- Functions, Kernel --- Engineering. --- Artificial intelligence. --- Computational intelligence. --- Computational Intelligence. --- Artificial Intelligence (incl. Robotics). --- Big Data. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- 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 --- Construction --- Industrial arts --- Technology --- Functions of complex variables --- Geometric function theory --- Digital electronics --- Filters (Mathematics) --- Fourier transformations --- Functional analysis --- Numerical analysis --- Numerical calculations --- Big data. --- Artificial Intelligence. --- Data sets, Large --- Large data sets --- Data sets
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