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Zero-order optimization has recently received significant attention for designing optimal trajectories and policies for robotic systems. However, most existing methods (e.g., MPPI, CEM, and CMA-ES) are local in nature, as they rely on…

Robotics · Computer Science 2026-02-09 Xudong Sun , Armand Jordana , Massimo Fornasier , Jalal Etesami , Majid Khadiv

High-confidence prediction of complex traits such as disease risk or drug response is an ultimate goal of personalized medicine. Although genome-wide association studies have discovered thousands of well-replicated polymorphisms associated…

Gaussian process (GP) based Bayesian optimization (BO) is a powerful method for optimizing black-box functions efficiently. The practical performance and theoretical guarantees of this approach depend on having the correct GP hyperparameter…

Machine Learning · Statistics 2024-06-07 Huong Ha , Vu Nguyen , Hung Tran-The , Hongyu Zhang , Xiuzhen Zhang , Anton van den Hengel

We propose an extension of the concept of Expected Improvement criterion commonly used in Kriging based optimization. We extend it for more complex Kriging models, e.g. models using derivatives. The target field of application are CFD…

Machine Learning · Statistics 2009-08-25 Łukasz Łaniewski-Wołłk

Code runtime optimization-the task of rewriting a given code to a faster one-remains challenging, as it requires reasoning about performance trade-offs involving algorithmic and structural choices. Recent approaches employ code-LLMs with…

Programming Languages · Computer Science 2025-10-14 Su-Hyeon Kim , Joonghyuk Hahn , Sooyoung Cha , Yo-Sub Han

We employ an evolutionary optimization framework that perturbs initial states to generate informative and diverse policy demonstrations. A joint surrogate fitness function guides the optimization by combining local diversity, behavioral…

Machine Learning · Computer Science 2025-04-22 Philipp Altmann , Céline Davignon , Maximilian Zorn , Fabian Ritz , Claudia Linnhoff-Popien , Thomas Gabor

This paper introduces the full Low-carbon Expansion Generation Optimization (LEGO) model available on Github (https://github.com/wogrin/LEGO). LEGO is a mixed-integer quadratically constrained optimization problem and has been designed to…

Optimization and Control · Mathematics 2022-01-20 Sonja Wogrin , Diego A. Tejada-Arango , Udo Bachhiesl , Benjamin F. Hobbs

In Constrained Reinforcement Learning (CRL), agents explore the environment to learn the optimal policy while satisfying constraints. The penalty function method has recently been studied as an effective approach for handling constraints,…

Machine Learning · Computer Science 2024-07-23 Shiqing Gao , Jiaxin Ding , Luoyi Fu , Xinbing Wang , Chenghu Zhou

In decision-making under uncertainty, Contextual Robust Optimization (CRO) provides reliability by minimizing the worst-case decision loss over a prediction set. While recent advances use conformal prediction to construct prediction sets…

Machine Learning · Statistics 2025-12-25 Yajie Bao , Yang Hu , Haojie Ren , Peng Zhao , Changliang Zou

This study aims to provide a comprehensive assessment of single-objective and multi-objective optimisation algorithms for the design of an elbow-type draft tube, as well as to introduce a computationally efficient optimisation workflow. The…

Optimization and Control · Mathematics 2024-01-18 Ante Sikirica , Ivana Lučin , Marta Alvir , Lado Kranjčević , Zoran Čarija

Empirical risk minimization (ERM) and distributionally robust optimization (DRO) are popular approaches for solving stochastic optimization problems that appear in operations management and machine learning. Existing generalization error…

Optimization and Control · Mathematics 2023-09-26 Garud Iyengar , Henry Lam , Tianyu Wang

Many engineering processes can be accurately modelled using partial differential equations (PDEs), but high dimensionality and non-convexity of the resulting systems pose limitations on their efficient optimisation. In this work, a model…

Optimization and Control · Mathematics 2024-10-17 Min Tao , Panagiotis Petsagkourakis , Jie Li , Constantinos Theodoropoulos

Black-box global optimization aims at minimizing an objective function whose analytical form is not known. To do so, many state-of-the-art methods rely on sampling-based strategies, where sampling distributions are built in an iterative…

Optimization and Control · Mathematics 2024-09-30 Thomas Guilmeau , Emilie Chouzenoux , Víctor Elvira

Kriging is an efficient machine-learning tool, which allows to obtain an approximate response of an investigated phenomenon on the whole parametric space. Adaptive schemes provide a the ability to guide the experiment yielding new sample…

Machine Learning · Computer Science 2019-07-03 Jan N. Fuhg , Amelie Fau

Gradient-free optimization methods, such as surrogate based optimization (SBO) methods, and genetic (GAs), or evolutionary (EAs) algorithms have gained popularity in the field of constrained optimization of expensive black-box functions.…

Optimization and Control · Mathematics 2021-07-22 Ahmed Abouhussein , Nusrat Islam , Yulia T. Peet

We consider the bound-constrained global optimization of functions with low effective dimensionality, that are constant along an (unknown) linear subspace and only vary over the effective (complement) subspace. We aim to implicitly explore…

Optimization and Control · Mathematics 2020-09-23 Coralia Cartis , Estelle Massart , Adilet Otemissov

In the present work, we consider multi-fidelity surrogate modelling to fuse the output of multiple aero-servo-elastic computer simulators of varying complexity. In many instances, predictions from multiple simulators for the same quantity…

Computation · Statistics 2017-09-25 I. Abdallah , C. Lataniotis , B. Sudret

As we know, some global optimization problems cannot be solved using analytic methods, so numeric/algorithmic approaches are used to find near to the optimal solutions for them. A stochastic global optimization algorithm (SGoal) is an…

Artificial Intelligence · Computer Science 2017-06-08 Jonatan Gomez

The paper provides global optimization algorithms for two particularly difficult nonconvex problems raised by hybrid system identification: switching linear regression and bounded-error estimation. While most works focus on local…

Machine Learning · Computer Science 2017-11-27 Fabien Lauer

Objective functions in large-scale machine-learning and artificial intelligence applications often live in high dimensions with strong non-convexity and massive local minima. First-order methods, such as the stochastic gradient method and…

Optimization and Control · Mathematics 2020-12-10 Jingrun Chen , Shi Jin , Liyao Lyu
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