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  1. Book Series

  2. No Access

    Chapter

    Conclusion and Future Research Directions

    This chapter shares the authors’ concluding perspectives and points out some potential research directions that could help consolidate the emerging theme of machine learning (ML)-assisted evolutionary multi- a...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Chapter

    Introduction

    The formulation of an optimization problem, in generic terms, can be given by Equation 1.1.

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Chapter

    Foundational Studies on ML-Based Enhancements

    Many efficient evolutionary multi- and many-objective optimization algorithms, jointly referred to as EMâOAs, have been proposed in the last three decades. However, while solving complex real-world problems, E...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Chapter

    Learning to Converge Better: IP2 Operator

     the context of online innovization (Section 3.1.2, Chapter 3), it has been discussed that inter-variable relationships with pre-specified structures can be extracted in any intermediate generation of an evo...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Chapter

    Learning to Simultaneously Converge and Diversify Better: UIP Operator

    It has been highlighted earlier that all evolutionary multi- and many-objective optimization algorithms (EMâOAs), including the reference vector (RV)-based EMâOAs or RV-EMâOAs, pursue the dual goals of converg...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

  7. No Access

    Chapter

    Learning to Analyze the Pareto-Optimal Front

    As mentioned in the previous chapters, evolutionary multi- and many-objective optimization algorithms (EMâOAs) attempt to find a set of well-converged and well-diversified solutions to approximate the true Par...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Chapter

    Optimization Problems and Algorithms

    This chapter starts by highlighting some domains of practical problems where optimization is or can be commonly applied. Then, the focus is shifted to different problem classes based on the number of objective...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Chapter

    Learning to Understand the Problem Structure

    This chapter focuses on an important aspect of learning the preference structure of the objectives, inherent in multi- and many-objective optimization problem formulations. This involves identifying the non-essen...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Chapter

    Learning to Diversify Better: IP3 Operator

    It was emphasized earlier that evolutionary multi- and many-objective optimization algorithms, jointly referred to as EMâOAs, pursue the dual goals of convergence to and diversity across the true Pareto front ( ...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Chapter

    Investigating Innovized Progress Operators with Different ML Methods

    Chapters 5 and 6 have shown how learning efficient search directions from the intermittent generations’ solutions could be utilized to create pro-convergence and pro-diversity offspring, enabling better conver...

    Dhish Kumar Saxena, Sukrit Mittal in Machine Learning Assisted Evolutionary Mul… (2024)

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    Book

  13. No Access

    Article

    A general framework for enhancing relaxed Pareto dominance methods in evolutionary many-objective optimization

    In the last decade, it is widely known that the Pareto dominance-based evolutionary algorithms (EAs) are unable to deal with many-objective optimization problems (MaOPs) well, as it is hard to maintain a good ...

    Shuwei Zhu, Lihong Xu, Erik Goodman, Kalyanmoy Deb, Zhichao Lu in Natural Computing (2023)

  14. Article

    Open Access

    Pure and mixed lexicographic-paretian many-objective optimization: state of the art

    This work aims at reviewing the state of the art of the field of lexicographic multi/many-objective optimization. The discussion starts with a review of the literature, emphasizing the numerous application in ...

    Leonardo Lai, Lorenzo Fiaschi, Marco Cococcioni, Kalyanmoy Deb in Natural Computing (2023)

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    Chapter and Conference Paper

    Investigating Innovized Progress Operators with Different Machine Learning Methods

    Recent studies have demonstrated that the performance of Reference vector (RV) based Evolutionary Multi- and Many-objective Optimization algorithms could be improved, through the intervention of Machine Learni...

    Drishti Bhasin, Sajag Swami, Sarthak Sharma in Evolutionary Multi-Criterion Optimization (2023)

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    Chapter and Conference Paper

    IK-EMOViz: An Interactive Knowledge-Based Evolutionary Multi-objective Optimization Framework

    The knowledge and intuition of experienced users for practical optimization problems are often underutilized in academic research. Such knowledge, formulated as inter-variable relationships, can assist an opti...

    Abhiroop Ghosh, Kalyanmoy Deb, Ronald Averill in Evolutionary Multi-Criterion Optimization (2023)

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    Chapter and Conference Paper

    RegEMO: Sacrificing Pareto-Optimality for Regularity in Multi-objective Problem-Solving

    Multi-objective optimization problems give rise to a set of Pareto-optimal (PO) solutions, each of which makes a certain trade-off among objectives. When multiple PO solutions are to be considered for differen...

    Ritam Guha, Kalyanmoy Deb in Evolutionary Multi-Criterion Optimization (2023)

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    Chapter and Conference Paper

    Learning to Predict Pareto-Optimal Solutions from Pseudo-weights

    Evolutionary Multi-objective optimization (EMO) algorithms attempt to find a well-converged and well-diversified set close to true Pareto-optimal solutions. However, due to stochasticity involved in EMO algori...

    Kalyanmoy Deb, Aryan Gondkar, Suresh Anirudh in Evolutionary Multi-Criterion Optimization (2023)

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    Chapter and Conference Paper

    Eliminating Non-dominated Sorting from NSGA-III

    The series of non-dominated sorting based genetic algorithms (NSGA-series) has clearly shown their niche in solving multi- and many-objective optimization problems since mid-nineties. Of them, NSGA-III was des...

    Balija Santoshkumar, Kalyanmoy Deb, Lei Chen in Evolutionary Multi-Criterion Optimization (2023)

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    Chapter

    Key Issues in Real-World Applications of Many-Objective Optimisation and Decision Analysis

    The insights and benefits to be realised through the optimisation of multiple independent, but conflicting objectives are well recognised by practitioners seeking effective and robust solutions to real-world a...

    Kalyanmoy Deb, Peter Fleming, Yaochu ** in Many-Criteria Optimization and Decision An… (2023)

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