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Introduction
10/12/2023 4
Computational
Methodologies AI derivatives
The nature of computational methods that can be applied to solve a problem can be generally divided into two groups, often referred to
as Soft Computing and Hard Computing .Hard computing includes methods that integrate a high degree of certainty to solve problems. On
the contrary, soft computing covers approximate methods that can be used to solve problems via implicit/useable yet not exact solutions.
As one can see, there is a common ground between the definition of AI derivatives with of soft computing methods.
Introduction
10/12/2023 5
Classification of the modelling
techniques (Adapted from
Giustolisi et al. 2007)
Referring to this figure, white-, black-and grey-box
models are three main categories for mathematical
modelling. If the variables and parameters are known
and the model is based on first principles (e.g. laws of
physics), then it is possible to explain the underlying
physical relationships of the system. Such models are
classified as white-box models. Black-box methods
explore the relationships between the input and output
data without providing a feasible structure of the
model. Conceptual methods that do not only identify
the existing patterns between the data but also provide
a mathematical structure of the model belong to the
grey-box category.
AI derivatives
Introduction
10/12/2023 6
AI Learning Methods
10/12/2023 7
Structural optimization is the process of finding the best design for a structure that satisfies
certain criteria, such as strength, stiffness, weight, cost, or aesthetics. It can be applied to
various types of structures, such as buildings, bridges, towers, shells, or trusses.
Optimization !
The three categories of structural optimization: (a) sizing optimization of a truss structure, (b) shape optimization,
and (c) topology optimization; the initial problems (left) and the optimal solutions (right). ( konstantinos et al 2015).

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Machine learning.pdf

  • 1. Introduction 10/12/2023 4 Computational Methodologies AI derivatives The nature of computational methods that can be applied to solve a problem can be generally divided into two groups, often referred to as Soft Computing and Hard Computing .Hard computing includes methods that integrate a high degree of certainty to solve problems. On the contrary, soft computing covers approximate methods that can be used to solve problems via implicit/useable yet not exact solutions. As one can see, there is a common ground between the definition of AI derivatives with of soft computing methods.
  • 2. Introduction 10/12/2023 5 Classification of the modelling techniques (Adapted from Giustolisi et al. 2007) Referring to this figure, white-, black-and grey-box models are three main categories for mathematical modelling. If the variables and parameters are known and the model is based on first principles (e.g. laws of physics), then it is possible to explain the underlying physical relationships of the system. Such models are classified as white-box models. Black-box methods explore the relationships between the input and output data without providing a feasible structure of the model. Conceptual methods that do not only identify the existing patterns between the data but also provide a mathematical structure of the model belong to the grey-box category. AI derivatives
  • 4. 10/12/2023 7 Structural optimization is the process of finding the best design for a structure that satisfies certain criteria, such as strength, stiffness, weight, cost, or aesthetics. It can be applied to various types of structures, such as buildings, bridges, towers, shells, or trusses. Optimization ! The three categories of structural optimization: (a) sizing optimization of a truss structure, (b) shape optimization, and (c) topology optimization; the initial problems (left) and the optimal solutions (right). ( konstantinos et al 2015).