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Bayesian optimisation (BO) has been widely used to solve problems with expensive function evaluations. In multi-objective optimisation problems, BO aims to find a set of approximated Pareto optimal solutions. There are typically two ways to…

Machine Learning · Computer Science 2022-08-16 Tinkle Chugh

Recently, intelligent scheduling approaches using surrogate models have been proposed to efficiently allocate volatile tasks in heterogeneous fog environments. Advances like deterministic surrogate models, deep neural networks (DNN) and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-17 Shreshth Tuli , Giuliano Casale , Nicholas R. Jennings

We present a framework for smooth optimization of explicitly regularized objectives for (structured) sparsity. These non-smooth and possibly non-convex problems typically rely on solvers tailored to specific models and regularizers. In…

Machine Learning · Computer Science 2026-04-09 Chris Kolb , Christian L. Müller , Bernd Bischl , David Rügamer

We introduce a global, gradient-free surrogate optimization strategy for expensive black-box functions inspired by the Fokker-Planck and Langevin equations. These can be written as an optimization problem where the objective is the target…

Machine Learning · Computer Science 2023-10-03 James M. Sullivan , Uros Seljak

In this paper, we study a few challenging theoretical and numerical issues on the well known trust region policy optimization for deep reinforcement learning. The goal is to find a policy that maximizes the total expected reward when the…

Optimization and Control · Mathematics 2019-11-27 Mingming Zhao , Yongfeng Li , Zaiwen Wen

We investigate the fundamental optimization question of minimizing a target function $f$, whose gradients are expensive to compute or have limited availability, given access to some auxiliary side function $h$ whose gradients are cheap or…

Machine Learning · Computer Science 2025-12-19 El Mahdi Chayti , Sai Praneeth Karimireddy

Bayesian optimization is a highly efficient approach to optimizing objective functions which are expensive to query. These objectives are typically represented by Gaussian process (GP) surrogate models which are easy to optimize and support…

Machine Learning · Computer Science 2024-05-09 Yucen Lily Li , Tim G. J. Rudner , Andrew Gordon Wilson

Multi-objective optimization aims to solve problems with competing objectives. Evaluating such problems is often slow or expensive, limiting the budget of evaluations. In many applications, historical data from related optimization tasks is…

Machine Learning · Computer Science 2026-05-12 Leonard Papenmeier , Petru Tighineanu

Stochastic zeroth-order (SZO), or gradient-free, optimization allows to optimize arbitrary functions by relying only on function evaluations under parameter perturbations, however, the iteration complexity of SZO methods suffers a factor…

Machine Learning · Statistics 2020-11-11 Artem Sokolov , Julian Hitschler , Mayumi Ohta , Stefan Riezler

Optimizing costly black-box functions within a constrained evaluation budget presents significant challenges in many real-world applications. Surrogate Optimization (SO) is a common resolution, yet its proprietary nature introduced by the…

Machine Learning · Computer Science 2024-10-21 Nazanin Nezami , Hadis Anahideh

Several tasks in machine learning are evaluated using non-differentiable metrics such as mean average precision or Spearman correlation. However, their non-differentiability prevents from using them as objective functions in a learning…

Machine Learning · Computer Science 2019-04-10 Martin Engilberge , Louis Chevallier , Patrick Pérez , Matthieu Cord

We propose a new uncertainty estimator for gradient-free optimisation of black-box simulators using deep generative surrogate models. Optimisation of these simulators is especially challenging for stochastic simulators and higher…

Machine Learning · Computer Science 2024-11-05 Tigran Ramazyan , Mikhail Hushchyn , Denis Derkach

Stochastic-gradient-based optimization has been a core enabling methodology in applications to large-scale problems in machine learning and related areas. Despite the progress, the gap between theory and practice remains significant, with…

Optimization and Control · Mathematics 2021-01-01 Lihua Lei , Michael I. Jordan

In this paper, we study convex optimization problems where agents of a network cooperatively minimize the global objective function which consists of multiple local objective functions. Different from most of the existing works, the local…

Optimization and Control · Mathematics 2024-10-30 Huaqing Li , Lifeng Zheng , Zheng Wang , Yu Yan , Liping Feng , Jing Guo

We study stochastic optimization of nonconvex loss functions, which are typical objectives for training neural networks. We propose stochastic approximation algorithms which optimize a series of regularized, nonlinearized losses on large…

Machine Learning · Computer Science 2019-03-12 Weiran Wang , Nathan Srebro

Optimizing expensive black-box systems with limited data is an extremely challenging problem. As a resolution, we present a new surrogate optimization approach by addressing two gaps in prior research -- unimportant input variables and…

Optimization and Control · Mathematics 2021-09-10 Hadis Anahideh , Jay Rosenberger , Victoria Chen

Recent studies have empirically investigated different methods to train stochastic neural networks on a classification task by optimising a PAC-Bayesian bound via stochastic gradient descent. Most of these procedures need to replace the…

Machine Learning · Computer Science 2022-07-01 Eugenio Clerico , George Deligiannidis , Arnaud Doucet

Bayesian optimization (BO) methods often rely on the assumption that the objective function is well-behaved, but in practice, this is seldom true for real-world objectives even if noise-free observations can be collected. Common approaches,…

Machine Learning · Statistics 2020-09-10 Erik Bodin , Markus Kaiser , Ieva Kazlauskaite , Zhenwen Dai , Neill D. F. Campbell , Carl Henrik Ek

This study introduces a non-intrusive approach in the context of low-rank separated representation to construct a surrogate of high-dimensional stochastic functions, e.g., PDEs/ODEs, in order to decrease the computational cost of Markov…

Data Analysis, Statistics and Probability · Physics 2013-12-25 AbdoulAhad Validi

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña
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