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Some Useful Numerical Methods
As indicated in the Introduction, the reader may find on the net free and commercial add-ins to make Numerical Calculus with EXCEL®. We cited some of...
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Randomized Methods
This chapter is devoted to random and memory-free methods that repeatedly construct solutions or modify them. Among the most popular techniques,...
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Constructive Methods
This chapter presents methods for constructing solutions. It starts with the branch and bound methods, widely used for the design of exact...
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Stochastic Optimization Methods
Basic methods for treating stochastic optimization problems (SOP), hence, optimization problems with random data are presented: Optimization problems...
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Newton-Type Methods with the Proximal Gradient Step for Sparse Estimation
In this paper, we propose new methods to efficiently solve convex optimization problems encountered in sparse estimation. These methods include a new...
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Combining LASSO-type Methods with a Smooth Transition Random Forest
In this work, we propose a novel hybrid method for the estimation of regression models, which is based on a combination of LASSO-type methods and...
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OWA-based multi-criteria decision making based on fuzzy methods
One of the most important challenges in Multi-Attribute Decision Making (MADM) problems is how can the optimal weights of the criteria can be...
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Analytical and numerical solutions for glial cells interactions between ’chemo-immunotherapy and cancer’
Cancer continues to be one of the most daunting obstacles to human health, which is why there is a never-ending attempt to create therapies that are...
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Random Search Methods for Global Optimization—Basics
Random Search Methods for solving deterministic optimization problems, as arising in the deterministic substitute problems of stochastic optimization...
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Primal-dual gradient methods for searching network equilibria in combined models with nested choice structure and capacity constraints
We consider a network equilibrium model (i.e. a combined model), which was proposed as an alternative to the classic four-step approach for travel...
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Optimal Scaling Parameters for Spectral Conjugate Gradient Methods
To improve upon numerical stability of the spectral conjugate gradient methods, two adaptive scaling parameters are introduced. One parameter is...
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A Review of Anonymization Algorithms and Methods in Big Data
In the era of big data, with the increase in volume and complexity of data, the main challenge is how to use big data while preserving the privacy of...
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More on matrix splitting modulus-based iterative methods for solving linear complementarity problem
In this article, we present a class of new modified modulus-based matrix spitting methods to process the large and sparse linear complementarity...
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Benchmarking Methods
In this chapter we present and discuss various methods to conduct (IT) benchmarking based on mathematical methods. We will generally consider the...
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Non-linear Multivariate Normalization Methods
This chapter describes various functional transformations combined with a data normalization procedure in order to limit the influence of...
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Combining physics-based and data-driven methods in metal stam**
This work presents a methodology for combining physical modeling strategies (FEM), machine learning techniques, and evolutionary algorithms for a...
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Extraction of Numerical Facts from German Texts to Enrich Internal Audit Data
Large-scale automated data processing is usually only possible for internal auditors in the case of structured data. Unstructured data, such as facts...
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Numerical analysis on rehabilitation material selection on RC beams with ultra-high-performance concrete: an application of sustainable construction
Sustainable construction becomes a highly key topic in the construction sector owing to its benefits and advantages over economy, environment, and...
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Essentials of numerical nonsmooth optimization
Approximately sixty years ago two seminal findings, the cutting plane and the subgradient methods, radically changed the landscape of mathematical...
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Discrete Markov Processes and Numerical Algorithms for Markov Chains
This chapter states the necessary classical results on discrete-time Markov processes and presents some approaches for determining the basic...