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Quantum computers show potential for achieving computational advantage over classical computers, with many candidate applications in combinatorial optimisation. We present an application level benchmarking framework for near-term quantum…

Bayesian Optimization (BO) is widely used for optimizing expensive black-box functions, particularly in hyperparameter tuning. However, standard BO assumes access to precise objective values, which may be unavailable, noisy, or unreliable…

Machine Learning · Statistics 2025-10-07 Tunde Fahd Egunjobi

Bayesian Optimization (BO) is a powerful method for optimizing black-box functions by combining prior knowledge with ongoing function evaluations. BO constructs a probabilistic surrogate model of the objective function given the covariates,…

Machine Learning · Statistics 2025-08-26 Roi Naveiro , Becky Tang

We propose a practical Bayesian optimization method over sets, to minimize a black-box function that takes a set as a single input. Because set inputs are permutation-invariant, traditional Gaussian process-based Bayesian optimization…

Machine Learning · Statistics 2021-01-26 Jungtaek Kim , Michael McCourt , Tackgeun You , Saehoon Kim , Seungjin Choi

Bayesian optimization is a popular method for optimizing expensive black-box functions. Yet it oftentimes struggles in high dimensions where the computation could be prohibitively heavy. To alleviate this problem, we introduce Coordinate…

Machine Learning · Computer Science 2022-04-21 Jian Tan , Niv Nayman , Mengchang Wang

The Quadratic Unconstrained Binary Optimization (QUBO) model has gained prominence in recent years with the discovery that it unifies a rich variety of combinatorial optimization problems. By its association with the Ising problem in…

Data Structures and Algorithms · Computer Science 2019-11-06 Fred Glover , Gary Kochenberger , Yu Du

Bayesian Optimization (BO) is a widely used approach for blackbox optimization that leverages a Gaussian process (GP) model and an acquisition function to guide future sampling. While effective in low-dimensional settings, BO faces…

Machine Learning · Computer Science 2025-11-26 Pavankumar Koratikere , Leifur Leifsson

Bayesian Optimization (BO) is a surrogate-based global optimization strategy that relies on a Gaussian Process regression (GPR) model to approximate the objective function and an acquisition function to suggest candidate points. It is…

Machine Learning · Computer Science 2022-06-28 Kirill Antonov , Elena Raponi , Hao Wang , Carola Doerr

Quantum algorithms have shown promise in solving Quadratic Unconstrained Binary Optimization (QUBO) problems, benefiting from their connection to the transverse field Ising model. Various Ising solvers, both classical and quantum, have…

Optimization and Control · Mathematics 2025-09-16 Zedong Peng , Daniel de Roux , David E. Bernal Neira

When gradient-based methods are impractical, black-box optimization (BBO) provides a valuable alternative. However, BBO often struggles with high-dimensional problems and limited trial budgets. In this work, we propose a novel approach…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Riccardo Busetto , Manas Mejari , Marco Forgione , Alberto Bemporad , Dario Piga

The core challenge of high-dimensional and expensive black-box optimization (BBO) is how to obtain better performance faster with little function evaluation cost. The essence of the problem is how to design an efficient optimization…

Machine Learning · Computer Science 2023-07-26 Xiaobin Li , Kai Wu , Xiaoyu Zhang , Handing Wang , Jing Liu

We consider the problem of optimizing expensive black-box functions over high-dimensional combinatorial spaces which arises in many science, engineering, and ML applications. We use Bayesian Optimization (BO) and propose a novel surrogate…

Machine Learning · Computer Science 2023-03-06 Aryan Deshwal , Sebastian Ament , Maximilian Balandat , Eytan Bakshy , Janardhan Rao Doppa , David Eriksson

Bayesian Optimization (BO) is a powerful framework for optimizing noisy, expensive-to-evaluate black-box functions. When the objective exhibits invariances under a group action, exploiting these symmetries can substantially improve BO…

Machine Learning · Statistics 2025-09-30 Anthony Bardou , Antoine Gonon , Aryan Ahadinia , Patrick Thiran

Bayesian Optimization (BO) is an effective framework for globally optimizing functions whose evaluations are expensive. It is particularly effective for optimizing functions defined over continuous domains and explicitly handles stochastic…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Buqing Ou , Frederike Dümbgen

The Quadratic Unconstrained Binary Optimization (QUBO) modeling and solution framework is a requirement for quantum and digital annealers. However optimality for QUBO problems of any practical size is extremely difficult to achieve. In…

Artificial Intelligence · Computer Science 2021-05-13 Amit Verma , Mark Lewis

In machine learning, fewer features reduce model complexity. Carefully assessing the influence of each input feature on the model quality is therefore a crucial preprocessing step. We propose a novel feature selection algorithm based on a…

Quantum Physics · Physics 2023-02-22 Sascha Mücke , Raoul Heese , Sabine Müller , Moritz Wolter , Nico Piatkowski

In edge computing, suppressing data size is a challenge for machine learning models that perform complex tasks such as autonomous driving, in which computational resources (speed, memory size and power) are limited. Efficient lossy…

Machine Learning · Computer Science 2022-09-28 Tadashi Kadowaki , Mitsuru Ambai

We propose a new kernel that quantifies success for the task of computing a core-periphery partition for an undirected network. Finding the associated optimal partitioning may be expressed in the form of a quadratic unconstrained binary…

Social and Information Networks · Computer Science 2022-01-06 Catherine F. Higham , Desmond J. Higham , Francesco Tudisco

Several combinatorial optimization problems can be solved with NISQ devices once that a corresponding quadratic unconstrained binary optimization (QUBO) form is derived. The aim of this work is to drastically reduce the variables needed for…

Quantum Physics · Physics 2026-02-25 Dario De Santis , Salvatore Tirone , Stefano Marmi , Vittorio Giovannetti

This paper explores the applications of quantum annealing (QA) and classical simulated annealing (SA) to a suite of combinatorial optimization problems in machine learning, namely feature selection, instance selection, and clustering. We…

Quantum Physics · Physics 2025-07-22 Chloe Pomeroy , Aleksandar Pramov , Karishma Thakrar , Lakshmi Yendapalli