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Book
Computational Optimizations for Machine Learning
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Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

The present book contains the 10 articles finally accepted for publication in the Special Issue “Computational Optimizations for Machine Learning” of the MDPI journal Mathematics, which cover a wide range of topics connected to the theory and applications of machine learning, neural networks and artificial intelligence. These topics include, among others, various types of machine learning classes, such as supervised, unsupervised and reinforcement learning, deep neural networks, convolutional neural networks, GANs, decision trees, linear regression, SVM, K-means clustering, Q-learning, temporal difference, deep adversarial networks and more. It is hoped that the book will be interesting and useful to those developing mathematical algorithms and applications in the domain of artificial intelligence and machine learning as well as for those having the appropriate mathematical background and willing to become familiar with recent advances of machine learning computational optimization mathematics, which has nowadays permeated into almost all sectors of human life and activity.


Book
Evolutionary Computation & Swarm Intelligence
Authors: --- ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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The vast majority of real-world problems can be expressed as an optimisation task by formulating an objective function, also known as cost or fitness function. The most logical methods to optimise such a function when (1) an analytical expression is not available, (2) mathematical hypotheses do not hold, and (3) the dimensionality of the problem or stringent real-time requirements make it infeasible to find an exact solution mathematically are from the field of Evolutionary Computation (EC) and Swarm Intelligence (SI). The latter are broad and still growing subjects in Computer Science in the study of metaheuristic approaches, i.e., those approaches which do not make any assumptions about the problem function, inspired from natural phenomena such as, in the first place, the evolution process and the collaborative behaviours of groups of animals and communities, respectively. This book contains recent advances in the EC and SI fields, covering most themes currently receiving a great deal of attention such as benchmarking and tunning of optimisation algorithms, their algorithm design process, and their application to solve challenging real-world problems to face large-scale domains.

Keywords

dynamic stream clustering --- online clustering --- metaheuristics --- optimisation --- population based algorithms --- density based clustering --- k-means centroid --- concept drift --- concept evolution --- imbalanced data --- screening criteria --- DE-MPFSC algorithm --- Markov process --- entanglement degree --- data integration --- PSO --- robot --- manipulator --- analysis --- kinematic parameters --- identification --- approximate matching --- context-triggered piecewise hashing --- edit distance --- fuzzy hashing --- LZJD --- multi-thread programming --- sdhash --- signatures --- similarity detection --- ssdeep --- maximum k-coverage --- redundant representation --- normalization --- genetic algorithm --- hybrid algorithms --- memetic algorithms --- particle swarm --- multi-objective deterministic optimization, derivative-free --- global/local optimization --- simulation-based design optimization --- wireless sensor networks --- routing --- Swarm Intelligence --- Particle Swarm Optimization --- Social Network Optimization --- compact optimization --- discrete optimization --- large-scale optimization --- one billion variables --- evolutionary algorithms --- estimation distribution algorithms --- algorithmic design --- metaheuristic optimisation --- evolutionary computation --- swarm intelligence --- memetic computing --- parameter tuning --- fitness trend --- Wilcoxon rank-sum --- Holm–Bonferroni --- benchmark suite --- data sampling --- feature selection --- instance weighting --- nature-inspired algorithms --- meta-heuristic algorithms


Book
Advanced Signal Processing Techniques Applied to Power Systems Control and Analysis
Authors: --- --- --- --- --- et al.
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

The work published in this book is related to the application of advanced signal processing in smart grids, including power quality, data management, stability and economic management in presence of renewable energy sources, energy storage systems, and electric vehicles. The distinct architecture of smart grids has prompted investigations into the use of advanced algorithms combined with signal processing methods to provide optimal results. The presented applications are focused on data management with cloud computing, power quality assessment, photovoltaic power plant control, and electrical vehicle charge stations, all supported by modern AI-based optimization methods.

Keywords

Advanced Metering Infrastructure (AMI) --- Distributed Energy Resources (DER) --- Distribution Management System (DMS) --- Graph Reduction in Parallel (GRIP) --- Intelligent Electronic Device (IED) --- Intelligent Platform Management Interface (IPMI) --- Service Oriented Architecture (SOA) --- Ultra Large-Scale System (ULSS) --- photovoltaic systems --- MPPT technique --- partial shading --- global MPP (GMPP) --- nature-inspired algorithms --- congestion management --- power flow --- generator rescheduling --- Flower Pollination Algorithm (FPA) --- Pumped Hydro Storage Unit (PHSU) --- ancillary services --- grid --- inverter --- PV --- reactive power --- solar --- Quasi-Z source inverter (QZSI) --- Y source inverter (YSI) --- energy storage system (ESS) --- hybrid renewable energy sources (HRES) --- demand --- load --- RBFNOEHO technique --- common mode current --- common mode voltage --- modulation techniques --- electromagnetic interference --- mitigation --- grid connected inverters --- rotor angle --- small signal stability --- householder algorithm --- power systems --- electric vehicles --- charging station --- transformer --- Energy PLAN --- renewable energy --- maximum demand (MD) --- solar PV --- battery energy storage system (BESS) --- net energy metering (NEM) --- maximum demand reduction (MDRed) model --- power quality --- voltage variations --- PV system --- aggregation times --- correlation analysis --- harmonic analysis --- wavelet transform --- wavelet packet --- measurement techniques --- cloud services --- trust management --- secure computing --- smart meter --- LBSS --- user-aware power regulatory model


Book
Advances in Optimization and Nonlinear Analysis
Author:
Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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The present book focuses on that part of calculus of variations, optimization, nonlinear analysis and related applications which combines tools and methods from partial differential equations with geometrical techniques. More precisely, this work is devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The book is a valuable guide for researchers, engineers and students in the field of mathematics, operations research, optimal control science, artificial intelligence, management science and economics.

Keywords

well posedness --- constrained variational control problem --- monotonicity --- pseudomonotonicity --- hemicontinuity --- multiple integral functional --- lower semicontinuity --- fractional differential equations --- fractional derivative of Riemann–Liouville type --- integral boundary value problems --- Green’s functions --- Guo–Krasnosel’skii fixed point theorem in cones --- sublinearity and superlinearity --- Arzelà-Ascoli Theorem --- multi-objective programming --- fractional transportation problem --- intuitionistic fuzzy set --- parametric programming --- convex function --- h-convex function --- Hermite–Hadamard inequality --- Caputo–Fabrizio fractional integral --- Jensen inequality --- Jensen–Mercer inequality --- multiobjective programs with vanishing constraints --- semidefinite programming --- convexificators --- nonsmooth analysis --- constraint qualifications --- interval-valued function --- Riemann integral --- LR-convex interval-valued function --- interval Hermite–Hadamard inequality --- interval Hermite–Hadamard–Fejér inequality --- Lieb concavity theorem --- deformed exponential --- Pick function --- convexity of matrix --- low carbon inventory --- discount --- payment in advance --- price-sensitive demand --- emission reduction --- advances of SDO --- applications of SDO --- metaheuristic optimization --- nature-inspired algorithms --- optimization problems --- spiral dynamics optimization --- spiral-inspired optimization algorithms --- spiral paths --- (p,s)-convex fuzzy-interval-valued function --- fuzzy Riemann integral --- Jensen type inequality --- Schur type inequality --- Hermite–Hadamard type inequality --- Hermite–Hadamard–Fejér type inequality --- inverse geometric problem --- Laplace equation --- method of fundamental solution --- least-square problem --- micro resonator --- fractal --- multistability --- safe jump --- hidden attractor --- chaos --- basin of attraction --- LR-Harmonically convexity --- fractional integral operator --- Hermite–Hadamard type inequalities --- multimodal multi-objective optimization --- manta ray foraging optimizer --- non-dominated solution --- crowing distance --- engineering design problem --- optimal power flow --- renewable energy sources --- improved chaos game optimization --- TD-TI controller --- load frequency control --- electrical vehicles --- n/a --- fractional derivative of Riemann-Liouville type --- Green's functions --- Guo-Krasnosel'skii fixed point theorem in cones --- Arzelà-Ascoli Theorem --- Hermite-Hadamard inequality --- Caputo-Fabrizio fractional integral --- Jensen-Mercer inequality --- interval Hermite-Hadamard inequality --- interval Hermite-Hadamard-Fejér inequality --- Hermite-Hadamard type inequality --- Hermite-Hadamard-Fejér type inequality --- Hermite-Hadamard type inequalities

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