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Related papers: Quantum Approximate Multi-Objective Optimization

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A novel class of hybrid quantum-classical algorithms based on the variational approach have recently emerged from separate proposals addressing, for example, quantum chemistry and combinatorial problems. These algorithms provide an…

Quantum Physics · Physics 2017-01-09 Gian Giacomo Guerreschi , Mikhail Smelyanskiy

This paper addresses the problem of constrained multi-objective optimization over black-box objective functions with practitioner-specified preferences over the objectives when a large fraction of the input space is infeasible (i.e.,…

Machine Learning · Computer Science 2023-03-24 Alaleh Ahmadianshalchi , Syrine Belakaria , Janardhan Rao Doppa

Multi-objective integer or mixed-integer programming problems typically have disconnected feasible domains, making the task of constructing an approximation of the Pareto front challenging. The present paper shows that certain algorithms…

Optimization and Control · Mathematics 2021-05-25 Regina S. Burachik , C. Yalçın Kaya , M. Mustafa Rizvi

We present a multi-objective Bayesian optimisation algorithm that allows the user to express preference-order constraints on the objectives of the type "objective A is more important than objective B". These preferences are defined based on…

Machine Learning · Computer Science 2019-11-14 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

Simultaneous optimization of multiple objective functions results in a set of trade-off, or Pareto, solutions. Choosing a, in some sense, best solution in this set is in general a challenging task: In the case of three or more objectives…

Optimization and Control · Mathematics 2023-02-01 C. Yalçın Kaya , Helmut Maurer

The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often consider (weakly) Pareto points. This paper studies…

Optimization and Control · Mathematics 2023-12-05 Jiawang Nie , Zi Yang

Deep learning models form one of the most powerful machine learning models for the extraction of important features. Most of the designs of deep neural models, i.e., the initialization of parameters, are still manually tuned. Hence,…

Machine Learning · Computer Science 2023-05-18 Mrittika Chakraborty , Wreetbhas Pal , Sanghamitra Bandyopadhyay , Ujjwal Maulik

In this work, we consider the problem of Quality-Diversity (QD) optimization with multiple objectives. QD algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set…

Artificial Intelligence · Computer Science 2022-06-01 Thomas Pierrot , Guillaume Richard , Karim Beguir , Antoine Cully

Pareto optimality is capable of striking the optimal trade-off amongst the diverse conflicting QoS requirements of routing in wireless multihop networks. However, this comes at the cost of increased complexity owing to searching through the…

Multiple-objective optimization (MOO) aims to simultaneously optimize multiple conflicting objectives and has found important applications in machine learning, such as minimizing classification loss and discrepancy in treating different…

Machine Learning · Computer Science 2022-09-16 Eric Enouen , Katja Mathesius , Sean Wang , Arielle Carr , Sihong Xie

In recent years, there has been significant research interest in solving Quadratic Unconstrained Binary Optimisation (QUBO) problems. Physics-inspired optimisation algorithms have been proposed for deriving optimal or sub-optimal solutions…

Artificial Intelligence · Computer Science 2023-09-12 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Matthieu Parizy

Quantum optimization has emerged as a promising frontier of quantum computing, providing novel numerical approaches to mathematical optimization problems. The main goal of this paper is to facilitate interdisciplinary research between the…

Optimization and Control · Mathematics 2025-09-05 Alexey Bochkarev , Raoul Heese , Sven Jäger , Philine Schiewe , Anita Schöbel

Multi-agent optimization problems with many objective functions have drawn much interest over the past two decades. Many works on the subject minimize the sum of objective functions, which implicitly carries a decision about the problem…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Maude J. Blondin , Matthew Hale

Solutions to multi-objective optimization problems can generally not be compared or ordered, due to the lack of orderability of the single objectives. Furthermore, decision-makers are often made to believe that scaled objectives can be…

Optimization and Control · Mathematics 2022-05-31 Sebastian Hönel , Welf Löwe

Gate model quantum computers with too many qubits to be simulated by available classical computers are about to arrive. We present a strategy for programming these devices without error correction or compilation. This means that the number…

Quantum Physics · Physics 2017-03-21 E. Farhi , J. Goldstone , S. Gutmann , H. Neven

Multi-objective optimization (MOO) is a prevalent challenge for Deep Learning, however, there exists no scalable MOO solution for truly deep neural networks. Prior work either demand optimizing a new network for every point on the Pareto…

Machine Learning · Computer Science 2021-10-15 Michael Ruchte , Josif Grabocka

Many problems in robotics seek to simultaneously optimize several competing objectives under constraints. A conventional approach to solving such multi-objective optimization problems is to create a single cost function comprised of the…

Robotics · Computer Science 2022-06-02 Alexander Botros , Armin Sadeghi , Nils Wilde , Javier Alonso-Mora , Stephen L. Smith

In this short note, we discuss a goal-oriented multiobjective optimization problem for system performance assessment. The objective function for such optimization problem, which is usually a composite of different performance indices…

Optimization and Control · Mathematics 2020-06-12 Getachew K Befekadu

Multi-objective optimisation problems involve finding solutions with varying trade-offs between multiple and often conflicting objectives. Ising machines are physical devices that aim to find the absolute or approximate ground states of an…

Artificial Intelligence · Computer Science 2023-05-22 Mayowa Ayodele , Richard Allmendinger , Manuel López-Ibáñez , Arnaud Liefooghe , Matthieu Parizy

In multiobjective optimisation, a set of scalable test problems with a variety of features allow researchers to investigate and evaluate the abilities of different optimisation algorithms, and thus can help them to design and develop more…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Liangli Zhen , Miqing Li , Ran Cheng , Dezhong Peng , Xin Yao